%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN484+1 : TPTP v8.1.0. Released v2.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n021.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 13:53:26 EDT 2022 % Result : Theorem 0.74s 0.90s % Output : Proof 0.78s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : SYN484+1 : TPTP v8.1.0. Released v2.1.0. % 0.06/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n021.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Mon Jul 11 19:48:08 EDT 2022 % 0.12/0.33 % CPUTime : % 0.74/0.90 (* PROOF-FOUND *) % 0.74/0.90 % SZS status Theorem % 0.74/0.90 (* BEGIN-PROOF *) % 0.74/0.90 % SZS output start Proof % 0.74/0.90 Theorem co1 : (~(((~(hskp0))\/((ndr1_0)/\((~(c1_1 (a1969)))/\((~(c2_1 (a1969)))/\(~(c3_1 (a1969)))))))/\(((~(hskp1))\/((ndr1_0)/\((c0_1 (a1971))/\((c2_1 (a1971))/\(~(c1_1 (a1971)))))))/\(((~(hskp2))\/((ndr1_0)/\((c1_1 (a1973))/\((c3_1 (a1973))/\(~(c2_1 (a1973)))))))/\(((~(hskp3))\/((ndr1_0)/\((c1_1 (a1974))/\((c2_1 (a1974))/\(~(c0_1 (a1974)))))))/\(((~(hskp4))\/((ndr1_0)/\((c0_1 (a1975))/\((~(c1_1 (a1975)))/\(~(c2_1 (a1975)))))))/\(((~(hskp5))\/((ndr1_0)/\((c1_1 (a1977))/\((~(c2_1 (a1977)))/\(~(c3_1 (a1977)))))))/\(((~(hskp6))\/((ndr1_0)/\((c3_1 (a1979))/\((~(c0_1 (a1979)))/\(~(c2_1 (a1979)))))))/\(((~(hskp7))\/((ndr1_0)/\((c0_1 (a1981))/\((c1_1 (a1981))/\(~(c3_1 (a1981)))))))/\(((~(hskp8))\/((ndr1_0)/\((c3_1 (a1983))/\((~(c0_1 (a1983)))/\(~(c1_1 (a1983)))))))/\(((~(hskp9))\/((ndr1_0)/\((c1_1 (a1985))/\((~(c0_1 (a1985)))/\(~(c3_1 (a1985)))))))/\(((~(hskp10))\/((ndr1_0)/\((c2_1 (a1987))/\((c3_1 (a1987))/\(~(c1_1 (a1987)))))))/\(((~(hskp11))\/((ndr1_0)/\((c2_1 (a1989))/\((~(c0_1 (a1989)))/\(~(c3_1 (a1989)))))))/\(((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990)))))))/\(((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991)))))))/\(((~(hskp14))\/((ndr1_0)/\((c1_1 (a1992))/\((~(c0_1 (a1992)))/\(~(c2_1 (a1992)))))))/\(((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993)))))))/\(((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996)))))))/\(((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998)))))))/\(((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2000)))/\((~(c1_1 (a2000)))/\(~(c3_1 (a2000)))))))/\(((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001)))))))/\(((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003)))))))/\(((~(hskp21))\/((ndr1_0)/\((c2_1 (a2009))/\((~(c1_1 (a2009)))/\(~(c3_1 (a2009)))))))/\(((~(hskp22))\/((ndr1_0)/\((c0_1 (a2012))/\((~(c2_1 (a2012)))/\(~(c3_1 (a2012)))))))/\(((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014)))))))/\(((~(hskp24))\/((ndr1_0)/\((~(c0_1 (a2031)))/\((~(c1_1 (a2031)))/\(~(c2_1 (a2031)))))))/\(((~(hskp25))\/((ndr1_0)/\((~(c0_1 (a2041)))/\((~(c2_1 (a2041)))/\(~(c3_1 (a2041)))))))/\(((~(hskp26))\/((ndr1_0)/\((c0_1 (a2049))/\((c3_1 (a2049))/\(~(c1_1 (a2049)))))))/\(((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970))))))/\(((~(hskp28))\/((ndr1_0)/\((c0_1 (a1972))/\((c1_1 (a1972))/\(c3_1 (a1972))))))/\(((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978))))))/\(((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/(hskp0)))/\(((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(hskp27)))/\(((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))))/\(((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))))/\(((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))))/\(((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp1)))/\(((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp28)))/\(((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp2)))/\(((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp3)))/\(((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((hskp4)\/(hskp27)))/\(((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5)))/\(((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((hskp29)\/(hskp6)))/\(((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/((forall X21 : zenon_U, ((ndr1_0)->((c2_1 X21)\/((~(c0_1 X21))\/(~(c3_1 X21))))))\/(hskp1)))/\(((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))))/\(((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/(hskp7)))/\(((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((hskp28)\/(hskp8)))/\(((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))))/\(((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29)))/\(((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp9)))/\(((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))))/\(((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))))/\(((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))))/\(((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp8)))/\(((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp10)))/\(((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp9)\/(hskp11)))/\(((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12)))/\(((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))))/\(((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13)))/\(((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14)))/\(((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp15)))/\(((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp3)))/\(((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c3_1 X62)\/((~(c0_1 X62))\/(~(c1_1 X62))))))\/(hskp10)))/\(((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp16)))/\(((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp13)\/(hskp17)))/\(((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp4)\/(hskp18)))/\(((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19)))/\(((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9)))))))/\(((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((hskp13)\/(hskp20)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))))/\(((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12)))/\(((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79))))))))/\(((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))))/\(((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5)))/\(((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp4)\/(hskp10)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp21)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((hskp1)\/(hskp10)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((hskp22)\/(hskp2)))/\(((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((hskp23)\/(hskp6)))/\(((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((hskp3)\/(hskp17)))/\(((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/((hskp10)\/(hskp11)))/\(((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/((hskp30)\/(hskp15)))/\(((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/((hskp6)\/(hskp18)))/\(((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp27)))/\(((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79))))))\/(hskp10))/\(((forall X97 : zenon_U, ((ndr1_0)->((c2_1 X97)\/((c3_1 X97)\/(~(c0_1 X97))))))\/((hskp16)\/(hskp15)))/\(((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/(forall X62 : zenon_U, ((ndr1_0)->((c3_1 X62)\/((~(c0_1 X62))\/(~(c1_1 X62))))))))/\(((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/((hskp1)\/(hskp22)))/\(((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/((hskp16)\/(hskp24)))/\(((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20)))/\(((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((hskp11)\/(hskp12)))/\(((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp10)))/\(((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17)))/\(((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp12)\/(hskp0)))/\(((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp24)\/(hskp25)))/\(((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((hskp14)\/(hskp10)))/\(((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4)))/\(((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp3)\/(hskp8)))/\(((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17))/\(((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/((hskp26)\/(hskp25)))/\(((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11)))/\(((hskp28)\/((hskp1)\/(hskp21)))/\(((hskp23)\/((hskp5)\/(hskp8)))/\(((hskp30)\/((hskp27)\/(hskp6)))/\(((hskp16)\/((hskp19)\/(hskp15)))/\((hskp16)\/((hskp21)\/(hskp18))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). % 0.74/0.90 Proof. % 0.74/0.90 assert (zenon_L1_ : (~(hskp16)) -> (hskp16) -> False). % 0.74/0.90 do 0 intro. intros zenon_H1 zenon_H2. % 0.74/0.90 exact (zenon_H1 zenon_H2). % 0.74/0.90 (* end of lemma zenon_L1_ *) % 0.74/0.90 assert (zenon_L2_ : (~(hskp19)) -> (hskp19) -> False). % 0.74/0.90 do 0 intro. intros zenon_H3 zenon_H4. % 0.74/0.90 exact (zenon_H3 zenon_H4). % 0.74/0.90 (* end of lemma zenon_L2_ *) % 0.74/0.90 assert (zenon_L3_ : (~(hskp15)) -> (hskp15) -> False). % 0.74/0.90 do 0 intro. intros zenon_H5 zenon_H6. % 0.74/0.90 exact (zenon_H5 zenon_H6). % 0.74/0.90 (* end of lemma zenon_L3_ *) % 0.74/0.90 assert (zenon_L4_ : ((hskp16)\/((hskp19)\/(hskp15))) -> (~(hskp16)) -> (~(hskp19)) -> (~(hskp15)) -> False). % 0.74/0.90 do 0 intro. intros zenon_H7 zenon_H1 zenon_H3 zenon_H5. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H2 | zenon_intro zenon_H8 ]. % 0.74/0.90 exact (zenon_H1 zenon_H2). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H8); [ zenon_intro zenon_H4 | zenon_intro zenon_H6 ]. % 0.74/0.90 exact (zenon_H3 zenon_H4). % 0.74/0.90 exact (zenon_H5 zenon_H6). % 0.74/0.90 (* end of lemma zenon_L4_ *) % 0.74/0.90 assert (zenon_L5_ : (~(ndr1_0)) -> (ndr1_0) -> False). % 0.74/0.90 do 0 intro. intros zenon_H9 zenon_Ha. % 0.74/0.90 exact (zenon_H9 zenon_Ha). % 0.74/0.90 (* end of lemma zenon_L5_ *) % 0.74/0.90 assert (zenon_L6_ : (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33)))))) -> (ndr1_0) -> (~(c0_1 (a2001))) -> (c2_1 (a2001)) -> (c3_1 (a2001)) -> False). % 0.74/0.90 do 0 intro. intros zenon_Hb zenon_Ha zenon_Hc zenon_Hd zenon_He. % 0.74/0.90 generalize (zenon_Hb (a2001)). zenon_intro zenon_Hf. % 0.74/0.90 apply (zenon_imply_s _ _ zenon_Hf); [ zenon_intro zenon_H9 | zenon_intro zenon_H10 ]. % 0.74/0.90 exact (zenon_H9 zenon_Ha). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H10); [ zenon_intro zenon_H12 | zenon_intro zenon_H11 ]. % 0.74/0.90 exact (zenon_Hc zenon_H12). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H11); [ zenon_intro zenon_H14 | zenon_intro zenon_H13 ]. % 0.74/0.90 exact (zenon_H14 zenon_Hd). % 0.74/0.90 exact (zenon_H13 zenon_He). % 0.74/0.90 (* end of lemma zenon_L6_ *) % 0.74/0.90 assert (zenon_L7_ : (~(hskp13)) -> (hskp13) -> False). % 0.74/0.90 do 0 intro. intros zenon_H15 zenon_H16. % 0.74/0.90 exact (zenon_H15 zenon_H16). % 0.74/0.90 (* end of lemma zenon_L7_ *) % 0.74/0.90 assert (zenon_L8_ : (~(hskp20)) -> (hskp20) -> False). % 0.74/0.90 do 0 intro. intros zenon_H17 zenon_H18. % 0.74/0.90 exact (zenon_H17 zenon_H18). % 0.74/0.90 (* end of lemma zenon_L8_ *) % 0.74/0.90 assert (zenon_L9_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((hskp13)\/(hskp20))) -> (c3_1 (a2001)) -> (c2_1 (a2001)) -> (~(c0_1 (a2001))) -> (ndr1_0) -> (~(hskp13)) -> (~(hskp20)) -> False). % 0.74/0.90 do 0 intro. intros zenon_H19 zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H15 zenon_H17. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H19); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a ]. % 0.74/0.90 apply (zenon_L6_); trivial. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H1a); [ zenon_intro zenon_H16 | zenon_intro zenon_H18 ]. % 0.74/0.90 exact (zenon_H15 zenon_H16). % 0.74/0.90 exact (zenon_H17 zenon_H18). % 0.74/0.90 (* end of lemma zenon_L9_ *) % 0.74/0.90 assert (zenon_L10_ : (forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (ndr1_0) -> (forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28)))))) -> (~(c3_1 (a2003))) -> (c1_1 (a2003)) -> (c2_1 (a2003)) -> False). % 0.74/0.90 do 0 intro. intros zenon_H1b zenon_Ha zenon_H1c zenon_H1d zenon_H1e zenon_H1f. % 0.74/0.90 generalize (zenon_H1b (a2003)). zenon_intro zenon_H20. % 0.74/0.90 apply (zenon_imply_s _ _ zenon_H20); [ zenon_intro zenon_H9 | zenon_intro zenon_H21 ]. % 0.74/0.90 exact (zenon_H9 zenon_Ha). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H23 | zenon_intro zenon_H22 ]. % 0.74/0.90 generalize (zenon_H1c (a2003)). zenon_intro zenon_H24. % 0.74/0.90 apply (zenon_imply_s _ _ zenon_H24); [ zenon_intro zenon_H9 | zenon_intro zenon_H25 ]. % 0.74/0.90 exact (zenon_H9 zenon_Ha). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H25); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ]. % 0.74/0.90 exact (zenon_H23 zenon_H27). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_H29 | zenon_intro zenon_H28 ]. % 0.74/0.90 exact (zenon_H1d zenon_H29). % 0.74/0.90 exact (zenon_H28 zenon_H1e). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H28 | zenon_intro zenon_H2a ]. % 0.74/0.90 exact (zenon_H28 zenon_H1e). % 0.74/0.90 exact (zenon_H2a zenon_H1f). % 0.74/0.90 (* end of lemma zenon_L10_ *) % 0.74/0.90 assert (zenon_L11_ : (~(hskp17)) -> (hskp17) -> False). % 0.74/0.90 do 0 intro. intros zenon_H2b zenon_H2c. % 0.74/0.90 exact (zenon_H2b zenon_H2c). % 0.74/0.90 (* end of lemma zenon_L11_ *) % 0.74/0.90 assert (zenon_L12_ : ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp17)) -> (c2_1 (a2003)) -> (c1_1 (a2003)) -> (~(c3_1 (a2003))) -> (forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28)))))) -> (ndr1_0) -> False). % 0.74/0.90 do 0 intro. intros zenon_H2d zenon_H2b zenon_H1f zenon_H1e zenon_H1d zenon_H1c zenon_Ha. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H1b | zenon_intro zenon_H2c ]. % 0.74/0.90 apply (zenon_L10_); trivial. % 0.74/0.90 exact (zenon_H2b zenon_H2c). % 0.74/0.90 (* end of lemma zenon_L12_ *) % 0.74/0.90 assert (zenon_L13_ : (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))) -> (ndr1_0) -> (~(c0_1 (a2001))) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12)))))) -> (c2_1 (a2001)) -> (c3_1 (a2001)) -> False). % 0.74/0.90 do 0 intro. intros zenon_H2e zenon_Ha zenon_Hc zenon_H2f zenon_Hd zenon_He. % 0.74/0.90 generalize (zenon_H2e (a2001)). zenon_intro zenon_H30. % 0.74/0.90 apply (zenon_imply_s _ _ zenon_H30); [ zenon_intro zenon_H9 | zenon_intro zenon_H31 ]. % 0.74/0.90 exact (zenon_H9 zenon_Ha). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H12 | zenon_intro zenon_H32 ]. % 0.74/0.90 exact (zenon_Hc zenon_H12). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H33 | zenon_intro zenon_H13 ]. % 0.74/0.90 generalize (zenon_H2f (a2001)). zenon_intro zenon_H34. % 0.74/0.90 apply (zenon_imply_s _ _ zenon_H34); [ zenon_intro zenon_H9 | zenon_intro zenon_H35 ]. % 0.74/0.90 exact (zenon_H9 zenon_Ha). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H12 | zenon_intro zenon_H36 ]. % 0.74/0.90 exact (zenon_Hc zenon_H12). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H37 | zenon_intro zenon_H14 ]. % 0.74/0.90 exact (zenon_H33 zenon_H37). % 0.74/0.90 exact (zenon_H14 zenon_Hd). % 0.74/0.90 exact (zenon_H13 zenon_He). % 0.74/0.90 (* end of lemma zenon_L13_ *) % 0.74/0.90 assert (zenon_L14_ : (~(hskp12)) -> (hskp12) -> False). % 0.74/0.90 do 0 intro. intros zenon_H38 zenon_H39. % 0.74/0.90 exact (zenon_H38 zenon_H39). % 0.74/0.90 (* end of lemma zenon_L14_ *) % 0.74/0.90 assert (zenon_L15_ : (~(hskp4)) -> (hskp4) -> False). % 0.74/0.90 do 0 intro. intros zenon_H3a zenon_H3b. % 0.74/0.90 exact (zenon_H3a zenon_H3b). % 0.74/0.90 (* end of lemma zenon_L15_ *) % 0.74/0.90 assert (zenon_L16_ : (~(hskp27)) -> (hskp27) -> False). % 0.74/0.90 do 0 intro. intros zenon_H3c zenon_H3d. % 0.74/0.90 exact (zenon_H3c zenon_H3d). % 0.74/0.90 (* end of lemma zenon_L16_ *) % 0.74/0.90 assert (zenon_L17_ : (forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))) -> (ndr1_0) -> (c1_1 (a1970)) -> (c2_1 (a1970)) -> (c3_1 (a1970)) -> False). % 0.74/0.90 do 0 intro. intros zenon_H3e zenon_Ha zenon_H3f zenon_H40 zenon_H41. % 0.74/0.90 generalize (zenon_H3e (a1970)). zenon_intro zenon_H42. % 0.74/0.90 apply (zenon_imply_s _ _ zenon_H42); [ zenon_intro zenon_H9 | zenon_intro zenon_H43 ]. % 0.74/0.90 exact (zenon_H9 zenon_Ha). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H45 | zenon_intro zenon_H44 ]. % 0.74/0.90 exact (zenon_H45 zenon_H3f). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H47 | zenon_intro zenon_H46 ]. % 0.74/0.90 exact (zenon_H47 zenon_H40). % 0.74/0.90 exact (zenon_H46 zenon_H41). % 0.74/0.90 (* end of lemma zenon_L17_ *) % 0.74/0.90 assert (zenon_L18_ : (~(hskp11)) -> (hskp11) -> False). % 0.74/0.90 do 0 intro. intros zenon_H48 zenon_H49. % 0.74/0.90 exact (zenon_H48 zenon_H49). % 0.74/0.90 (* end of lemma zenon_L18_ *) % 0.74/0.90 assert (zenon_L19_ : ((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> (~(hskp4)) -> (~(hskp11)) -> False). % 0.74/0.90 do 0 intro. intros zenon_H4a zenon_H4b zenon_H3a zenon_H48. % 0.74/0.90 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 0.74/0.90 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H3f. zenon_intro zenon_H4d. % 0.74/0.90 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H40. zenon_intro zenon_H41. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H3e | zenon_intro zenon_H4e ]. % 0.74/0.90 apply (zenon_L17_); trivial. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H3b | zenon_intro zenon_H49 ]. % 0.74/0.90 exact (zenon_H3a zenon_H3b). % 0.74/0.90 exact (zenon_H48 zenon_H49). % 0.74/0.90 (* end of lemma zenon_L19_ *) % 0.74/0.90 assert (zenon_L20_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> (~(hskp11)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp17)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp4)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((hskp4)\/(hskp27))) -> (ndr1_0) -> (~(c0_1 (a2001))) -> (c2_1 (a2001)) -> (c3_1 (a2001)) -> (~(hskp13)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((hskp13)\/(hskp20))) -> False). % 0.74/0.90 do 0 intro. intros zenon_H4f zenon_H50 zenon_H4b zenon_H48 zenon_H51 zenon_H38 zenon_H2b zenon_H2d zenon_H3a zenon_H52 zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H15 zenon_H19. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H17 | zenon_intro zenon_H53 ]. % 0.74/0.90 apply (zenon_L9_); trivial. % 0.74/0.90 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_Ha. zenon_intro zenon_H54. % 0.74/0.90 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H1e. zenon_intro zenon_H55. % 0.74/0.90 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H1f. zenon_intro zenon_H1d. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H3c | zenon_intro zenon_H4a ]. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H2f | zenon_intro zenon_H56 ]. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H1c | zenon_intro zenon_H57 ]. % 0.74/0.90 apply (zenon_L12_); trivial. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H2e | zenon_intro zenon_H39 ]. % 0.74/0.90 apply (zenon_L13_); trivial. % 0.74/0.90 exact (zenon_H38 zenon_H39). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H3b | zenon_intro zenon_H3d ]. % 0.74/0.90 exact (zenon_H3a zenon_H3b). % 0.74/0.90 exact (zenon_H3c zenon_H3d). % 0.74/0.90 apply (zenon_L19_); trivial. % 0.74/0.90 (* end of lemma zenon_L20_ *) % 0.74/0.90 assert (zenon_L21_ : (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33)))))) -> (ndr1_0) -> (~(c0_1 (a1998))) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))) -> (c3_1 (a1998)) -> False). % 0.74/0.90 do 0 intro. intros zenon_Hb zenon_Ha zenon_H58 zenon_H59 zenon_H5a. % 0.74/0.90 generalize (zenon_Hb (a1998)). zenon_intro zenon_H5b. % 0.74/0.90 apply (zenon_imply_s _ _ zenon_H5b); [ zenon_intro zenon_H9 | zenon_intro zenon_H5c ]. % 0.74/0.90 exact (zenon_H9 zenon_Ha). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H5e | zenon_intro zenon_H5d ]. % 0.74/0.90 exact (zenon_H58 zenon_H5e). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H60 | zenon_intro zenon_H5f ]. % 0.74/0.90 generalize (zenon_H59 (a1998)). zenon_intro zenon_H61. % 0.74/0.90 apply (zenon_imply_s _ _ zenon_H61); [ zenon_intro zenon_H9 | zenon_intro zenon_H62 ]. % 0.74/0.90 exact (zenon_H9 zenon_Ha). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H5e | zenon_intro zenon_H63 ]. % 0.74/0.90 exact (zenon_H58 zenon_H5e). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H64 | zenon_intro zenon_H5f ]. % 0.74/0.90 exact (zenon_H60 zenon_H64). % 0.74/0.90 exact (zenon_H5f zenon_H5a). % 0.74/0.90 exact (zenon_H5f zenon_H5a). % 0.74/0.90 (* end of lemma zenon_L21_ *) % 0.74/0.90 assert (zenon_L22_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((hskp13)\/(hskp20))) -> (c3_1 (a1998)) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))) -> (~(c0_1 (a1998))) -> (ndr1_0) -> (~(hskp13)) -> (~(hskp20)) -> False). % 0.74/0.90 do 0 intro. intros zenon_H19 zenon_H5a zenon_H59 zenon_H58 zenon_Ha zenon_H15 zenon_H17. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H19); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a ]. % 0.74/0.90 apply (zenon_L21_); trivial. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H1a); [ zenon_intro zenon_H16 | zenon_intro zenon_H18 ]. % 0.74/0.90 exact (zenon_H15 zenon_H16). % 0.74/0.90 exact (zenon_H17 zenon_H18). % 0.74/0.90 (* end of lemma zenon_L22_ *) % 0.74/0.90 assert (zenon_L23_ : (~(hskp9)) -> (hskp9) -> False). % 0.74/0.90 do 0 intro. intros zenon_H65 zenon_H66. % 0.74/0.90 exact (zenon_H65 zenon_H66). % 0.74/0.90 (* end of lemma zenon_L23_ *) % 0.74/0.90 assert (zenon_L24_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp9)\/(hskp11))) -> (~(hskp20)) -> (~(hskp13)) -> (ndr1_0) -> (~(c0_1 (a1998))) -> (c3_1 (a1998)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((hskp13)\/(hskp20))) -> (~(hskp9)) -> (~(hskp11)) -> False). % 0.74/0.90 do 0 intro. intros zenon_H67 zenon_H17 zenon_H15 zenon_Ha zenon_H58 zenon_H5a zenon_H19 zenon_H65 zenon_H48. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H59 | zenon_intro zenon_H68 ]. % 0.74/0.90 apply (zenon_L22_); trivial. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H66 | zenon_intro zenon_H49 ]. % 0.74/0.90 exact (zenon_H65 zenon_H66). % 0.74/0.90 exact (zenon_H48 zenon_H49). % 0.74/0.90 (* end of lemma zenon_L24_ *) % 0.74/0.90 assert (zenon_L25_ : (forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))) -> (ndr1_0) -> (~(c3_1 (a2003))) -> (c1_1 (a2003)) -> (c2_1 (a2003)) -> False). % 0.74/0.90 do 0 intro. intros zenon_H69 zenon_Ha zenon_H1d zenon_H1e zenon_H1f. % 0.74/0.90 generalize (zenon_H69 (a2003)). zenon_intro zenon_H6a. % 0.74/0.90 apply (zenon_imply_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H6b ]. % 0.74/0.90 exact (zenon_H9 zenon_Ha). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H29 | zenon_intro zenon_H22 ]. % 0.74/0.90 exact (zenon_H1d zenon_H29). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H28 | zenon_intro zenon_H2a ]. % 0.74/0.90 exact (zenon_H28 zenon_H1e). % 0.74/0.90 exact (zenon_H2a zenon_H1f). % 0.74/0.90 (* end of lemma zenon_L25_ *) % 0.74/0.90 assert (zenon_L26_ : (~(hskp14)) -> (hskp14) -> False). % 0.74/0.90 do 0 intro. intros zenon_H6c zenon_H6d. % 0.74/0.90 exact (zenon_H6c zenon_H6d). % 0.74/0.90 (* end of lemma zenon_L26_ *) % 0.74/0.90 assert (zenon_L27_ : (~(hskp10)) -> (hskp10) -> False). % 0.74/0.90 do 0 intro. intros zenon_H6e zenon_H6f. % 0.74/0.90 exact (zenon_H6e zenon_H6f). % 0.74/0.90 (* end of lemma zenon_L27_ *) % 0.74/0.90 assert (zenon_L28_ : ((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((hskp14)\/(hskp10))) -> (~(hskp14)) -> (~(hskp10)) -> False). % 0.74/0.90 do 0 intro. intros zenon_H53 zenon_H70 zenon_H6c zenon_H6e. % 0.74/0.90 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_Ha. zenon_intro zenon_H54. % 0.74/0.90 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H1e. zenon_intro zenon_H55. % 0.74/0.90 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H1f. zenon_intro zenon_H1d. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H69 | zenon_intro zenon_H71 ]. % 0.74/0.90 apply (zenon_L25_); trivial. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H6d | zenon_intro zenon_H6f ]. % 0.74/0.90 exact (zenon_H6c zenon_H6d). % 0.74/0.90 exact (zenon_H6e zenon_H6f). % 0.74/0.90 (* end of lemma zenon_L28_ *) % 0.74/0.90 assert (zenon_L29_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((hskp14)\/(hskp10))) -> (~(hskp10)) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((hskp13)\/(hskp20))) -> (~(hskp13)) -> (c3_1 (a1998)) -> (~(c0_1 (a1998))) -> (ndr1_0) -> (~(hskp9)) -> (~(hskp11)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp9)\/(hskp11))) -> False). % 0.74/0.90 do 0 intro. intros zenon_H4f zenon_H70 zenon_H6e zenon_H6c zenon_H19 zenon_H15 zenon_H5a zenon_H58 zenon_Ha zenon_H65 zenon_H48 zenon_H67. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H17 | zenon_intro zenon_H53 ]. % 0.74/0.90 apply (zenon_L24_); trivial. % 0.74/0.90 apply (zenon_L28_); trivial. % 0.74/0.90 (* end of lemma zenon_L29_ *) % 0.74/0.90 assert (zenon_L30_ : (~(hskp30)) -> (hskp30) -> False). % 0.74/0.90 do 0 intro. intros zenon_H72 zenon_H73. % 0.74/0.90 exact (zenon_H72 zenon_H73). % 0.74/0.90 (* end of lemma zenon_L30_ *) % 0.74/0.90 assert (zenon_L31_ : (~(hskp6)) -> (hskp6) -> False). % 0.74/0.90 do 0 intro. intros zenon_H74 zenon_H75. % 0.74/0.90 exact (zenon_H74 zenon_H75). % 0.74/0.90 (* end of lemma zenon_L31_ *) % 0.74/0.90 assert (zenon_L32_ : ((hskp30)\/((hskp27)\/(hskp6))) -> (~(hskp30)) -> (~(hskp27)) -> (~(hskp6)) -> False). % 0.74/0.90 do 0 intro. intros zenon_H76 zenon_H72 zenon_H3c zenon_H74. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H73 | zenon_intro zenon_H77 ]. % 0.74/0.90 exact (zenon_H72 zenon_H73). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H3d | zenon_intro zenon_H75 ]. % 0.74/0.90 exact (zenon_H3c zenon_H3d). % 0.74/0.90 exact (zenon_H74 zenon_H75). % 0.74/0.90 (* end of lemma zenon_L32_ *) % 0.74/0.90 assert (zenon_L33_ : (forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (ndr1_0) -> (c0_1 (a2005)) -> (forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56)))))) -> (c3_1 (a2005)) -> (c2_1 (a2005)) -> False). % 0.74/0.90 do 0 intro. intros zenon_H1b zenon_Ha zenon_H78 zenon_H79 zenon_H7a zenon_H7b. % 0.74/0.90 generalize (zenon_H1b (a2005)). zenon_intro zenon_H7c. % 0.74/0.90 apply (zenon_imply_s _ _ zenon_H7c); [ zenon_intro zenon_H9 | zenon_intro zenon_H7d ]. % 0.74/0.90 exact (zenon_H9 zenon_Ha). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H7f | zenon_intro zenon_H7e ]. % 0.74/0.90 exact (zenon_H7f zenon_H78). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 0.74/0.90 generalize (zenon_H79 (a2005)). zenon_intro zenon_H82. % 0.74/0.90 apply (zenon_imply_s _ _ zenon_H82); [ zenon_intro zenon_H9 | zenon_intro zenon_H83 ]. % 0.74/0.90 exact (zenon_H9 zenon_Ha). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H85 | zenon_intro zenon_H84 ]. % 0.74/0.90 exact (zenon_H81 zenon_H85). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H7f | zenon_intro zenon_H86 ]. % 0.74/0.90 exact (zenon_H7f zenon_H78). % 0.74/0.90 exact (zenon_H86 zenon_H7a). % 0.74/0.90 exact (zenon_H80 zenon_H7b). % 0.74/0.90 (* end of lemma zenon_L33_ *) % 0.74/0.90 assert (zenon_L34_ : ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp17)) -> (c2_1 (a2005)) -> (c3_1 (a2005)) -> (forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56)))))) -> (c0_1 (a2005)) -> (ndr1_0) -> False). % 0.74/0.90 do 0 intro. intros zenon_H2d zenon_H2b zenon_H7b zenon_H7a zenon_H79 zenon_H78 zenon_Ha. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H1b | zenon_intro zenon_H2c ]. % 0.74/0.90 apply (zenon_L33_); trivial. % 0.74/0.90 exact (zenon_H2b zenon_H2c). % 0.74/0.90 (* end of lemma zenon_L34_ *) % 0.74/0.90 assert (zenon_L35_ : (~(hskp18)) -> (hskp18) -> False). % 0.74/0.90 do 0 intro. intros zenon_H87 zenon_H88. % 0.74/0.90 exact (zenon_H87 zenon_H88). % 0.74/0.90 (* end of lemma zenon_L35_ *) % 0.74/0.90 assert (zenon_L36_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/((hskp6)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp27)) -> (~(hskp6)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> False). % 0.74/0.90 do 0 intro. intros zenon_H89 zenon_H8a zenon_H87 zenon_H2b zenon_H2d zenon_H3c zenon_H74 zenon_H76. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H72 | zenon_intro zenon_H8b ]. % 0.74/0.90 apply (zenon_L32_); trivial. % 0.74/0.90 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Ha. zenon_intro zenon_H8c. % 0.74/0.90 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H78. zenon_intro zenon_H8d. % 0.74/0.90 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H79 | zenon_intro zenon_H8e ]. % 0.74/0.90 apply (zenon_L34_); trivial. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H75 | zenon_intro zenon_H88 ]. % 0.74/0.90 exact (zenon_H74 zenon_H75). % 0.74/0.90 exact (zenon_H87 zenon_H88). % 0.74/0.90 (* end of lemma zenon_L36_ *) % 0.74/0.90 assert (zenon_L37_ : (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))) -> (ndr1_0) -> (forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (c1_1 (a1970)) -> (c2_1 (a1970)) -> (c3_1 (a1970)) -> False). % 0.74/0.90 do 0 intro. intros zenon_H2e zenon_Ha zenon_H1b zenon_H3f zenon_H40 zenon_H41. % 0.74/0.90 generalize (zenon_H2e (a1970)). zenon_intro zenon_H8f. % 0.74/0.90 apply (zenon_imply_s _ _ zenon_H8f); [ zenon_intro zenon_H9 | zenon_intro zenon_H90 ]. % 0.74/0.90 exact (zenon_H9 zenon_Ha). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H92 | zenon_intro zenon_H91 ]. % 0.74/0.90 generalize (zenon_H1b (a1970)). zenon_intro zenon_H93. % 0.74/0.90 apply (zenon_imply_s _ _ zenon_H93); [ zenon_intro zenon_H9 | zenon_intro zenon_H94 ]. % 0.74/0.90 exact (zenon_H9 zenon_Ha). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H96 | zenon_intro zenon_H95 ]. % 0.74/0.90 exact (zenon_H96 zenon_H92). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H45 | zenon_intro zenon_H47 ]. % 0.74/0.90 exact (zenon_H45 zenon_H3f). % 0.74/0.90 exact (zenon_H47 zenon_H40). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H45 | zenon_intro zenon_H46 ]. % 0.74/0.90 exact (zenon_H45 zenon_H3f). % 0.74/0.90 exact (zenon_H46 zenon_H41). % 0.74/0.90 (* end of lemma zenon_L37_ *) % 0.74/0.90 assert (zenon_L38_ : ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp17)) -> (c3_1 (a1970)) -> (c2_1 (a1970)) -> (c1_1 (a1970)) -> (ndr1_0) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))) -> False). % 0.74/0.90 do 0 intro. intros zenon_H2d zenon_H2b zenon_H41 zenon_H40 zenon_H3f zenon_Ha zenon_H2e. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H1b | zenon_intro zenon_H2c ]. % 0.74/0.90 apply (zenon_L37_); trivial. % 0.74/0.90 exact (zenon_H2b zenon_H2c). % 0.74/0.90 (* end of lemma zenon_L38_ *) % 0.74/0.90 assert (zenon_L39_ : ((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp13)\/(hskp17))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp13)) -> (~(hskp17)) -> False). % 0.74/0.90 do 0 intro. intros zenon_H4a zenon_H97 zenon_H2d zenon_H15 zenon_H2b. % 0.74/0.90 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 0.74/0.90 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H3f. zenon_intro zenon_H4d. % 0.74/0.90 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H40. zenon_intro zenon_H41. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H2e | zenon_intro zenon_H98 ]. % 0.74/0.90 apply (zenon_L38_); trivial. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H16 | zenon_intro zenon_H2c ]. % 0.74/0.90 exact (zenon_H15 zenon_H16). % 0.74/0.90 exact (zenon_H2b zenon_H2c). % 0.74/0.90 (* end of lemma zenon_L39_ *) % 0.74/0.90 assert (zenon_L40_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp13)\/(hskp17))) -> (~(hskp13)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> (~(hskp6)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp17)) -> (~(hskp18)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/((hskp6)\/(hskp18))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> False). % 0.74/0.90 do 0 intro. intros zenon_H50 zenon_H97 zenon_H15 zenon_H76 zenon_H74 zenon_H2d zenon_H2b zenon_H87 zenon_H8a zenon_H89. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H3c | zenon_intro zenon_H4a ]. % 0.74/0.90 apply (zenon_L36_); trivial. % 0.74/0.90 apply (zenon_L39_); trivial. % 0.74/0.90 (* end of lemma zenon_L40_ *) % 0.74/0.90 assert (zenon_L41_ : (~(hskp23)) -> (hskp23) -> False). % 0.74/0.90 do 0 intro. intros zenon_H99 zenon_H9a. % 0.74/0.90 exact (zenon_H99 zenon_H9a). % 0.74/0.90 (* end of lemma zenon_L41_ *) % 0.74/0.90 assert (zenon_L42_ : (~(hskp5)) -> (hskp5) -> False). % 0.74/0.90 do 0 intro. intros zenon_H9b zenon_H9c. % 0.74/0.90 exact (zenon_H9b zenon_H9c). % 0.74/0.90 (* end of lemma zenon_L42_ *) % 0.74/0.90 assert (zenon_L43_ : (~(hskp8)) -> (hskp8) -> False). % 0.74/0.90 do 0 intro. intros zenon_H9d zenon_H9e. % 0.74/0.90 exact (zenon_H9d zenon_H9e). % 0.74/0.90 (* end of lemma zenon_L43_ *) % 0.74/0.90 assert (zenon_L44_ : ((hskp23)\/((hskp5)\/(hskp8))) -> (~(hskp23)) -> (~(hskp5)) -> (~(hskp8)) -> False). % 0.74/0.90 do 0 intro. intros zenon_H9f zenon_H99 zenon_H9b zenon_H9d. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H9a | zenon_intro zenon_Ha0 ]. % 0.74/0.90 exact (zenon_H99 zenon_H9a). % 0.74/0.90 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H9c | zenon_intro zenon_H9e ]. % 0.74/0.90 exact (zenon_H9b zenon_H9c). % 0.74/0.90 exact (zenon_H9d zenon_H9e). % 0.74/0.90 (* end of lemma zenon_L44_ *) % 0.74/0.90 assert (zenon_L45_ : (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W))))) -> (ndr1_0) -> (~(c0_1 (a2000))) -> (~(c1_1 (a2000))) -> (~(c3_1 (a2000))) -> False). % 0.74/0.90 do 0 intro. intros zenon_Ha1 zenon_Ha zenon_Ha2 zenon_Ha3 zenon_Ha4. % 0.74/0.90 generalize (zenon_Ha1 (a2000)). zenon_intro zenon_Ha5. % 0.74/0.90 apply (zenon_imply_s _ _ zenon_Ha5); [ zenon_intro zenon_H9 | zenon_intro zenon_Ha6 ]. % 0.74/0.90 exact (zenon_H9 zenon_Ha). % 0.74/0.90 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ]. % 0.74/0.90 exact (zenon_Ha2 zenon_Ha8). % 0.74/0.90 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_Haa | zenon_intro zenon_Ha9 ]. % 0.74/0.90 exact (zenon_Ha3 zenon_Haa). % 0.74/0.90 exact (zenon_Ha4 zenon_Ha9). % 0.74/0.90 (* end of lemma zenon_L45_ *) % 0.74/0.90 assert (zenon_L46_ : (forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9)))))) -> (ndr1_0) -> (~(c2_1 (a2014))) -> (c0_1 (a2014)) -> (c1_1 (a2014)) -> False). % 0.74/0.90 do 0 intro. intros zenon_Hab zenon_Ha zenon_Hac zenon_Had zenon_Hae. % 0.74/0.90 generalize (zenon_Hab (a2014)). zenon_intro zenon_Haf. % 0.74/0.90 apply (zenon_imply_s _ _ zenon_Haf); [ zenon_intro zenon_H9 | zenon_intro zenon_Hb0 ]. % 0.74/0.90 exact (zenon_H9 zenon_Ha). % 0.74/0.90 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_Hb2 | zenon_intro zenon_Hb1 ]. % 0.74/0.90 exact (zenon_Hac zenon_Hb2). % 0.74/0.90 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb3 ]. % 0.74/0.90 exact (zenon_Hb4 zenon_Had). % 0.74/0.90 exact (zenon_Hb3 zenon_Hae). % 0.74/0.90 (* end of lemma zenon_L46_ *) % 0.74/0.90 assert (zenon_L47_ : (~(hskp1)) -> (hskp1) -> False). % 0.74/0.90 do 0 intro. intros zenon_Hb5 zenon_Hb6. % 0.74/0.90 exact (zenon_Hb5 zenon_Hb6). % 0.74/0.90 (* end of lemma zenon_L47_ *) % 0.74/0.90 assert (zenon_L48_ : ((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp1))) -> (~(c3_1 (a2000))) -> (~(c1_1 (a2000))) -> (~(c0_1 (a2000))) -> (~(hskp1)) -> False). % 0.74/0.90 do 0 intro. intros zenon_Hb7 zenon_Hb8 zenon_Ha4 zenon_Ha3 zenon_Ha2 zenon_Hb5. % 0.74/0.90 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Ha. zenon_intro zenon_Hb9. % 0.74/0.90 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Had. zenon_intro zenon_Hba. % 0.74/0.90 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Hae. zenon_intro zenon_Hac. % 0.74/0.90 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Hbb ]. % 0.74/0.90 apply (zenon_L45_); trivial. % 0.74/0.90 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Hab | zenon_intro zenon_Hb6 ]. % 0.74/0.90 apply (zenon_L46_); trivial. % 0.74/0.90 exact (zenon_Hb5 zenon_Hb6). % 0.74/0.90 (* end of lemma zenon_L48_ *) % 0.74/0.90 assert (zenon_L49_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a2000))) -> (~(c1_1 (a2000))) -> (~(c0_1 (a2000))) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> False). % 0.74/0.90 do 0 intro. intros zenon_Hbc zenon_Hb8 zenon_Hb5 zenon_Ha4 zenon_Ha3 zenon_Ha2 zenon_H9b zenon_H9d zenon_H9f. % 0.74/0.90 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb7 ]. % 0.74/0.90 apply (zenon_L44_); trivial. % 0.74/0.90 apply (zenon_L48_); trivial. % 0.74/0.90 (* end of lemma zenon_L49_ *) % 0.74/0.90 assert (zenon_L50_ : ((ndr1_0)/\((~(c0_1 (a2000)))/\((~(c1_1 (a2000)))/\(~(c3_1 (a2000)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> False). % 0.74/0.90 do 0 intro. intros zenon_Hbd zenon_Hbc zenon_Hb8 zenon_Hb5 zenon_H9b zenon_H9d zenon_H9f. % 0.74/0.90 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha. zenon_intro zenon_Hbe. % 0.74/0.90 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Ha2. zenon_intro zenon_Hbf. % 0.74/0.90 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha4. % 0.74/0.90 apply (zenon_L49_); trivial. % 0.74/0.90 (* end of lemma zenon_L50_ *) % 0.74/0.90 assert (zenon_L51_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2000)))/\((~(c1_1 (a2000)))/\(~(c3_1 (a2000))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/((hskp6)\/(hskp18))) -> (~(hskp17)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp6)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp13)\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> False). % 0.74/0.90 do 0 intro. intros zenon_Hc0 zenon_Hbc zenon_Hb8 zenon_Hb5 zenon_H9b zenon_H9d zenon_H9f zenon_H89 zenon_H8a zenon_H2b zenon_H2d zenon_H74 zenon_H76 zenon_H15 zenon_H97 zenon_H50. % 0.74/0.90 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H87 | zenon_intro zenon_Hbd ]. % 0.74/0.90 apply (zenon_L40_); trivial. % 0.74/0.90 apply (zenon_L50_); trivial. % 0.74/0.90 (* end of lemma zenon_L51_ *) % 0.74/0.90 assert (zenon_L52_ : ((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((hskp14)\/(hskp10))) -> (~(hskp10)) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((hskp13)\/(hskp20))) -> (~(hskp13)) -> (~(hskp9)) -> (~(hskp11)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp9)\/(hskp11))) -> False). % 0.74/0.90 do 0 intro. intros zenon_Hc1 zenon_H4f zenon_H70 zenon_H6e zenon_H6c zenon_H19 zenon_H15 zenon_H65 zenon_H48 zenon_H67. % 0.74/0.90 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2. % 0.74/0.90 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc3. % 0.74/0.90 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.74/0.90 apply (zenon_L29_); trivial. % 0.74/0.90 (* end of lemma zenon_L52_ *) % 0.74/0.90 assert (zenon_L53_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((hskp14)\/(hskp10))) -> (~(hskp10)) -> (~(hskp14)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((hskp13)\/(hskp20))) -> (~(hskp9)) -> (~(hskp11)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp9)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp13)\/(hskp17))) -> (~(hskp13)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> (~(hskp6)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/((hskp6)\/(hskp18))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((hskp23)\/((hskp5)\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2000)))/\((~(c1_1 (a2000)))/\(~(c3_1 (a2000))))))) -> False). % 0.74/0.90 do 0 intro. intros zenon_Hc5 zenon_H4f zenon_H70 zenon_H6e zenon_H6c zenon_H19 zenon_H65 zenon_H48 zenon_H67 zenon_H50 zenon_H97 zenon_H15 zenon_H76 zenon_H74 zenon_H2d zenon_H8a zenon_H89 zenon_H9f zenon_H9d zenon_H9b zenon_Hb5 zenon_Hb8 zenon_Hbc zenon_Hc0. % 0.74/0.90 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.74/0.90 apply (zenon_L51_); trivial. % 0.74/0.90 apply (zenon_L52_); trivial. % 0.74/0.90 (* end of lemma zenon_L53_ *) % 0.74/0.90 assert (zenon_L54_ : (forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24)))))) -> (ndr1_0) -> (~(c0_1 (a1992))) -> (~(c2_1 (a1992))) -> (c1_1 (a1992)) -> False). % 0.74/0.90 do 0 intro. intros zenon_Hc6 zenon_Ha zenon_Hc7 zenon_Hc8 zenon_Hc9. % 0.74/0.90 generalize (zenon_Hc6 (a1992)). zenon_intro zenon_Hca. % 0.74/0.90 apply (zenon_imply_s _ _ zenon_Hca); [ zenon_intro zenon_H9 | zenon_intro zenon_Hcb ]. % 0.74/0.90 exact (zenon_H9 zenon_Ha). % 0.74/0.90 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hcc ]. % 0.74/0.90 exact (zenon_Hc7 zenon_Hcd). % 0.74/0.90 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hce ]. % 0.74/0.90 exact (zenon_Hc8 zenon_Hcf). % 0.74/0.90 exact (zenon_Hce zenon_Hc9). % 0.74/0.90 (* end of lemma zenon_L54_ *) % 0.74/0.90 assert (zenon_L55_ : (~(hskp28)) -> (hskp28) -> False). % 0.74/0.90 do 0 intro. intros zenon_Hd0 zenon_Hd1. % 0.74/0.90 exact (zenon_Hd0 zenon_Hd1). % 0.74/0.90 (* end of lemma zenon_L55_ *) % 0.74/0.90 assert (zenon_L56_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((hskp28)\/(hskp8))) -> (c1_1 (a1992)) -> (~(c2_1 (a1992))) -> (~(c0_1 (a1992))) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp8)) -> False). % 0.74/0.90 do 0 intro. intros zenon_Hd2 zenon_Hc9 zenon_Hc8 zenon_Hc7 zenon_Ha zenon_Hd0 zenon_H9d. % 0.74/0.90 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hd3 ]. % 0.74/0.90 apply (zenon_L54_); trivial. % 0.74/0.90 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H9e ]. % 0.74/0.90 exact (zenon_Hd0 zenon_Hd1). % 0.74/0.90 exact (zenon_H9d zenon_H9e). % 0.74/0.90 (* end of lemma zenon_L56_ *) % 0.74/0.90 assert (zenon_L57_ : (forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))) -> (ndr1_0) -> (~(c3_1 (a2003))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25)))))) -> (c1_1 (a2003)) -> (c2_1 (a2003)) -> False). % 0.74/0.90 do 0 intro. intros zenon_Hd4 zenon_Ha zenon_H1d zenon_Hd5 zenon_H1e zenon_H1f. % 0.74/0.90 generalize (zenon_Hd4 (a2003)). zenon_intro zenon_Hd6. % 0.74/0.90 apply (zenon_imply_s _ _ zenon_Hd6); [ zenon_intro zenon_H9 | zenon_intro zenon_Hd7 ]. % 0.74/0.90 exact (zenon_H9 zenon_Ha). % 0.74/0.90 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H29 | zenon_intro zenon_Hd8 ]. % 0.74/0.90 exact (zenon_H1d zenon_H29). % 0.74/0.90 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H23 | zenon_intro zenon_H2a ]. % 0.74/0.90 generalize (zenon_Hd5 (a2003)). zenon_intro zenon_Hd9. % 0.74/0.90 apply (zenon_imply_s _ _ zenon_Hd9); [ zenon_intro zenon_H9 | zenon_intro zenon_Hda ]. % 0.74/0.90 exact (zenon_H9 zenon_Ha). % 0.74/0.90 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H27 | zenon_intro zenon_H22 ]. % 0.74/0.90 exact (zenon_H23 zenon_H27). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H28 | zenon_intro zenon_H2a ]. % 0.74/0.90 exact (zenon_H28 zenon_H1e). % 0.74/0.90 exact (zenon_H2a zenon_H1f). % 0.74/0.90 exact (zenon_H2a zenon_H1f). % 0.74/0.90 (* end of lemma zenon_L57_ *) % 0.74/0.90 assert (zenon_L58_ : (forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64)))))) -> (ndr1_0) -> (c0_1 (a1972)) -> (c1_1 (a1972)) -> (c3_1 (a1972)) -> False). % 0.74/0.90 do 0 intro. intros zenon_Hdb zenon_Ha zenon_Hdc zenon_Hdd zenon_Hde. % 0.74/0.90 generalize (zenon_Hdb (a1972)). zenon_intro zenon_Hdf. % 0.74/0.90 apply (zenon_imply_s _ _ zenon_Hdf); [ zenon_intro zenon_H9 | zenon_intro zenon_He0 ]. % 0.74/0.90 exact (zenon_H9 zenon_Ha). % 0.74/0.90 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_He2 | zenon_intro zenon_He1 ]. % 0.74/0.90 exact (zenon_He2 zenon_Hdc). % 0.74/0.90 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_He4 | zenon_intro zenon_He3 ]. % 0.74/0.90 exact (zenon_He4 zenon_Hdd). % 0.74/0.90 exact (zenon_He3 zenon_Hde). % 0.74/0.90 (* end of lemma zenon_L58_ *) % 0.74/0.90 assert (zenon_L59_ : ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp10))) -> (c2_1 (a2003)) -> (c1_1 (a2003)) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25)))))) -> (~(c3_1 (a2003))) -> (c3_1 (a1972)) -> (c1_1 (a1972)) -> (c0_1 (a1972)) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.74/0.90 do 0 intro. intros zenon_He5 zenon_H1f zenon_H1e zenon_Hd5 zenon_H1d zenon_Hde zenon_Hdd zenon_Hdc zenon_Ha zenon_H6e. % 0.74/0.90 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He6 ]. % 0.74/0.90 apply (zenon_L57_); trivial. % 0.74/0.90 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H6f ]. % 0.74/0.90 apply (zenon_L58_); trivial. % 0.74/0.90 exact (zenon_H6e zenon_H6f). % 0.74/0.90 (* end of lemma zenon_L59_ *) % 0.74/0.90 assert (zenon_L60_ : (~(hskp7)) -> (hskp7) -> False). % 0.74/0.90 do 0 intro. intros zenon_He7 zenon_He8. % 0.74/0.90 exact (zenon_He7 zenon_He8). % 0.74/0.90 (* end of lemma zenon_L60_ *) % 0.74/0.90 assert (zenon_L61_ : ((ndr1_0)/\((c0_1 (a1972))/\((c1_1 (a1972))/\(c3_1 (a1972))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/(hskp7))) -> (c1_1 (a1992)) -> (~(c2_1 (a1992))) -> (~(c0_1 (a1992))) -> (~(hskp10)) -> (~(c3_1 (a2003))) -> (c1_1 (a2003)) -> (c2_1 (a2003)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp10))) -> (~(hskp7)) -> False). % 0.74/0.90 do 0 intro. intros zenon_He9 zenon_Hea zenon_Hc9 zenon_Hc8 zenon_Hc7 zenon_H6e zenon_H1d zenon_H1e zenon_H1f zenon_He5 zenon_He7. % 0.74/0.90 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.74/0.90 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_Hdc. zenon_intro zenon_Hec. % 0.74/0.90 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 0.74/0.90 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hed ]. % 0.74/0.90 apply (zenon_L54_); trivial. % 0.74/0.90 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He8 ]. % 0.74/0.90 apply (zenon_L59_); trivial. % 0.74/0.90 exact (zenon_He7 zenon_He8). % 0.74/0.90 (* end of lemma zenon_L61_ *) % 0.74/0.90 assert (zenon_L62_ : ((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1972))/\((c1_1 (a1972))/\(c3_1 (a1972)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp10)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp10))) -> (~(c0_1 (a1992))) -> (~(c2_1 (a1992))) -> (c1_1 (a1992)) -> (~(hskp8)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((hskp28)\/(hskp8))) -> False). % 0.74/0.90 do 0 intro. intros zenon_H53 zenon_Hee zenon_Hea zenon_He7 zenon_H6e zenon_He5 zenon_Hc7 zenon_Hc8 zenon_Hc9 zenon_H9d zenon_Hd2. % 0.74/0.90 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_Ha. zenon_intro zenon_H54. % 0.74/0.90 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H1e. zenon_intro zenon_H55. % 0.74/0.90 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H1f. zenon_intro zenon_H1d. % 0.74/0.90 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_Hd0 | zenon_intro zenon_He9 ]. % 0.74/0.90 apply (zenon_L56_); trivial. % 0.74/0.90 apply (zenon_L61_); trivial. % 0.74/0.90 (* end of lemma zenon_L62_ *) % 0.74/0.90 assert (zenon_L63_ : ((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1972))/\((c1_1 (a1972))/\(c3_1 (a1972)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp10)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp10))) -> (~(c0_1 (a1992))) -> (~(c2_1 (a1992))) -> (c1_1 (a1992)) -> (~(hskp8)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((hskp28)\/(hskp8))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((hskp13)\/(hskp20))) -> (~(hskp13)) -> (~(hskp9)) -> (~(hskp11)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp9)\/(hskp11))) -> False). % 0.74/0.90 do 0 intro. intros zenon_Hc1 zenon_H4f zenon_Hee zenon_Hea zenon_He7 zenon_H6e zenon_He5 zenon_Hc7 zenon_Hc8 zenon_Hc9 zenon_H9d zenon_Hd2 zenon_H19 zenon_H15 zenon_H65 zenon_H48 zenon_H67. % 0.74/0.90 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2. % 0.74/0.90 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc3. % 0.74/0.90 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H17 | zenon_intro zenon_H53 ]. % 0.74/0.90 apply (zenon_L24_); trivial. % 0.74/0.90 apply (zenon_L62_); trivial. % 0.74/0.90 (* end of lemma zenon_L63_ *) % 0.74/0.90 assert (zenon_L64_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1972))/\((c1_1 (a1972))/\(c3_1 (a1972)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp10)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp10))) -> (~(c0_1 (a1992))) -> (~(c2_1 (a1992))) -> (c1_1 (a1992)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((hskp28)\/(hskp8))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((hskp13)\/(hskp20))) -> (~(hskp9)) -> (~(hskp11)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp9)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp13)\/(hskp17))) -> (~(hskp13)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> (~(hskp6)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/((hskp6)\/(hskp18))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((hskp23)\/((hskp5)\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2000)))/\((~(c1_1 (a2000)))/\(~(c3_1 (a2000))))))) -> False). % 0.74/0.90 do 0 intro. intros zenon_Hc5 zenon_H4f zenon_Hee zenon_Hea zenon_He7 zenon_H6e zenon_He5 zenon_Hc7 zenon_Hc8 zenon_Hc9 zenon_Hd2 zenon_H19 zenon_H65 zenon_H48 zenon_H67 zenon_H50 zenon_H97 zenon_H15 zenon_H76 zenon_H74 zenon_H2d zenon_H8a zenon_H89 zenon_H9f zenon_H9d zenon_H9b zenon_Hb5 zenon_Hb8 zenon_Hbc zenon_Hc0. % 0.74/0.90 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.74/0.90 apply (zenon_L51_); trivial. % 0.74/0.90 apply (zenon_L63_); trivial. % 0.74/0.90 (* end of lemma zenon_L64_ *) % 0.74/0.90 assert (zenon_L65_ : (forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))) -> (ndr1_0) -> (~(c3_1 (a1991))) -> (c0_1 (a1991)) -> (c2_1 (a1991)) -> False). % 0.74/0.90 do 0 intro. intros zenon_Hd4 zenon_Ha zenon_Hef zenon_Hf0 zenon_Hf1. % 0.74/0.90 generalize (zenon_Hd4 (a1991)). zenon_intro zenon_Hf2. % 0.74/0.90 apply (zenon_imply_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Hf3 ]. % 0.74/0.90 exact (zenon_H9 zenon_Ha). % 0.74/0.90 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hf5 | zenon_intro zenon_Hf4 ]. % 0.74/0.90 exact (zenon_Hef zenon_Hf5). % 0.74/0.90 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_Hf7 | zenon_intro zenon_Hf6 ]. % 0.74/0.90 exact (zenon_Hf7 zenon_Hf0). % 0.74/0.90 exact (zenon_Hf6 zenon_Hf1). % 0.74/0.90 (* end of lemma zenon_L65_ *) % 0.74/0.90 assert (zenon_L66_ : (~(hskp0)) -> (hskp0) -> False). % 0.74/0.90 do 0 intro. intros zenon_Hf8 zenon_Hf9. % 0.74/0.90 exact (zenon_Hf8 zenon_Hf9). % 0.74/0.90 (* end of lemma zenon_L66_ *) % 0.74/0.90 assert (zenon_L67_ : ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp12)\/(hskp0))) -> (c2_1 (a1991)) -> (c0_1 (a1991)) -> (~(c3_1 (a1991))) -> (ndr1_0) -> (~(hskp12)) -> (~(hskp0)) -> False). % 0.74/0.90 do 0 intro. intros zenon_Hfa zenon_Hf1 zenon_Hf0 zenon_Hef zenon_Ha zenon_H38 zenon_Hf8. % 0.74/0.90 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hfb ]. % 0.74/0.90 apply (zenon_L65_); trivial. % 0.74/0.90 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H39 | zenon_intro zenon_Hf9 ]. % 0.74/0.90 exact (zenon_H38 zenon_H39). % 0.74/0.90 exact (zenon_Hf8 zenon_Hf9). % 0.74/0.90 (* end of lemma zenon_L67_ *) % 0.74/0.90 assert (zenon_L68_ : ((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp12)\/(hskp0))) -> (~(hskp12)) -> (~(hskp0)) -> False). % 0.74/0.90 do 0 intro. intros zenon_Hfc zenon_Hfa zenon_H38 zenon_Hf8. % 0.74/0.90 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Ha. zenon_intro zenon_Hfd. % 0.74/0.90 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hf0. zenon_intro zenon_Hfe. % 0.74/0.90 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hf1. zenon_intro zenon_Hef. % 0.74/0.90 apply (zenon_L67_); trivial. % 0.74/0.90 (* end of lemma zenon_L68_ *) % 0.74/0.90 assert (zenon_L69_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp12)\/(hskp0))) -> (~(hskp0)) -> (~(hskp12)) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((hskp14)\/(hskp10))) -> (~(hskp10)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((hskp13)\/(hskp20))) -> (~(hskp9)) -> (~(hskp11)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp9)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp13)\/(hskp17))) -> ((hskp30)\/((hskp27)\/(hskp6))) -> (~(hskp6)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/((hskp6)\/(hskp18))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((hskp23)\/((hskp5)\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2000)))/\((~(c1_1 (a2000)))/\(~(c3_1 (a2000))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((hskp28)\/(hskp8))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp10))) -> (~(hskp7)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1972))/\((c1_1 (a1972))/\(c3_1 (a1972)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a1992))/\((~(c0_1 (a1992)))/\(~(c2_1 (a1992))))))) -> False). % 0.74/0.90 do 0 intro. intros zenon_Hff zenon_Hfa zenon_Hf8 zenon_H38 zenon_Hc5 zenon_H4f zenon_H70 zenon_H6e zenon_H19 zenon_H65 zenon_H48 zenon_H67 zenon_H50 zenon_H97 zenon_H76 zenon_H74 zenon_H2d zenon_H8a zenon_H89 zenon_H9f zenon_H9d zenon_H9b zenon_Hb5 zenon_Hb8 zenon_Hbc zenon_Hc0 zenon_Hd2 zenon_He5 zenon_He7 zenon_Hea zenon_Hee zenon_H100. % 0.74/0.90 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H6c | zenon_intro zenon_H101 ]. % 0.74/0.90 apply (zenon_L53_); trivial. % 0.74/0.90 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Ha. zenon_intro zenon_H102. % 0.74/0.90 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc9. zenon_intro zenon_H103. % 0.74/0.90 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hc7. zenon_intro zenon_Hc8. % 0.74/0.90 apply (zenon_L64_); trivial. % 0.74/0.90 apply (zenon_L68_); trivial. % 0.74/0.90 (* end of lemma zenon_L69_ *) % 0.74/0.90 assert (zenon_L70_ : (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12)))))) -> (ndr1_0) -> (~(c0_1 (a1993))) -> (~(c1_1 (a1993))) -> (c2_1 (a1993)) -> False). % 0.74/0.90 do 0 intro. intros zenon_H2f zenon_Ha zenon_H104 zenon_H105 zenon_H106. % 0.74/0.90 generalize (zenon_H2f (a1993)). zenon_intro zenon_H107. % 0.74/0.90 apply (zenon_imply_s _ _ zenon_H107); [ zenon_intro zenon_H9 | zenon_intro zenon_H108 ]. % 0.74/0.90 exact (zenon_H9 zenon_Ha). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H10a | zenon_intro zenon_H109 ]. % 0.74/0.90 exact (zenon_H104 zenon_H10a). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H10c | zenon_intro zenon_H10b ]. % 0.74/0.90 exact (zenon_H105 zenon_H10c). % 0.74/0.90 exact (zenon_H10b zenon_H106). % 0.74/0.90 (* end of lemma zenon_L70_ *) % 0.74/0.90 assert (zenon_L71_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((hskp4)\/(hskp27))) -> (c2_1 (a1993)) -> (~(c1_1 (a1993))) -> (~(c0_1 (a1993))) -> (ndr1_0) -> (~(hskp4)) -> (~(hskp27)) -> False). % 0.74/0.90 do 0 intro. intros zenon_H52 zenon_H106 zenon_H105 zenon_H104 zenon_Ha zenon_H3a zenon_H3c. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H2f | zenon_intro zenon_H56 ]. % 0.74/0.90 apply (zenon_L70_); trivial. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H3b | zenon_intro zenon_H3d ]. % 0.74/0.90 exact (zenon_H3a zenon_H3b). % 0.74/0.90 exact (zenon_H3c zenon_H3d). % 0.74/0.90 (* end of lemma zenon_L71_ *) % 0.74/0.90 assert (zenon_L72_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> (~(hskp11)) -> (ndr1_0) -> (~(c0_1 (a1993))) -> (~(c1_1 (a1993))) -> (c2_1 (a1993)) -> (~(hskp4)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((hskp4)\/(hskp27))) -> False). % 0.74/0.90 do 0 intro. intros zenon_H50 zenon_H4b zenon_H48 zenon_Ha zenon_H104 zenon_H105 zenon_H106 zenon_H3a zenon_H52. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H3c | zenon_intro zenon_H4a ]. % 0.74/0.90 apply (zenon_L71_); trivial. % 0.74/0.90 apply (zenon_L19_); trivial. % 0.74/0.90 (* end of lemma zenon_L72_ *) % 0.74/0.90 assert (zenon_L73_ : (forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6)))))) -> (ndr1_0) -> (~(c1_1 (a1990))) -> (~(c2_1 (a1990))) -> (c3_1 (a1990)) -> False). % 0.74/0.90 do 0 intro. intros zenon_H10d zenon_Ha zenon_H10e zenon_H10f zenon_H110. % 0.74/0.90 generalize (zenon_H10d (a1990)). zenon_intro zenon_H111. % 0.74/0.90 apply (zenon_imply_s _ _ zenon_H111); [ zenon_intro zenon_H9 | zenon_intro zenon_H112 ]. % 0.74/0.90 exact (zenon_H9 zenon_Ha). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H114 | zenon_intro zenon_H113 ]. % 0.74/0.90 exact (zenon_H10e zenon_H114). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H116 | zenon_intro zenon_H115 ]. % 0.74/0.90 exact (zenon_H10f zenon_H116). % 0.74/0.90 exact (zenon_H115 zenon_H110). % 0.74/0.90 (* end of lemma zenon_L73_ *) % 0.74/0.90 assert (zenon_L74_ : ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((hskp1)\/(hskp10))) -> (c3_1 (a1990)) -> (~(c2_1 (a1990))) -> (~(c1_1 (a1990))) -> (ndr1_0) -> (~(hskp1)) -> (~(hskp10)) -> False). % 0.74/0.90 do 0 intro. intros zenon_H117 zenon_H110 zenon_H10f zenon_H10e zenon_Ha zenon_Hb5 zenon_H6e. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H10d | zenon_intro zenon_H118 ]. % 0.74/0.90 apply (zenon_L73_); trivial. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H6f ]. % 0.74/0.90 exact (zenon_Hb5 zenon_Hb6). % 0.74/0.90 exact (zenon_H6e zenon_H6f). % 0.74/0.90 (* end of lemma zenon_L74_ *) % 0.74/0.90 assert (zenon_L75_ : (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))) -> (ndr1_0) -> (~(c0_1 (a1989))) -> (~(c3_1 (a1989))) -> (c2_1 (a1989)) -> False). % 0.74/0.90 do 0 intro. intros zenon_H119 zenon_Ha zenon_H11a zenon_H11b zenon_H11c. % 0.74/0.90 generalize (zenon_H119 (a1989)). zenon_intro zenon_H11d. % 0.74/0.90 apply (zenon_imply_s _ _ zenon_H11d); [ zenon_intro zenon_H9 | zenon_intro zenon_H11e ]. % 0.74/0.90 exact (zenon_H9 zenon_Ha). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H120 | zenon_intro zenon_H11f ]. % 0.74/0.90 exact (zenon_H11a zenon_H120). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H122 | zenon_intro zenon_H121 ]. % 0.74/0.90 exact (zenon_H11b zenon_H122). % 0.74/0.90 exact (zenon_H121 zenon_H11c). % 0.74/0.90 (* end of lemma zenon_L75_ *) % 0.74/0.90 assert (zenon_L76_ : (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))) -> (ndr1_0) -> (~(c0_1 (a1998))) -> (c1_1 (a1998)) -> (c3_1 (a1998)) -> False). % 0.74/0.90 do 0 intro. intros zenon_H2e zenon_Ha zenon_H58 zenon_Hc4 zenon_H5a. % 0.74/0.90 generalize (zenon_H2e (a1998)). zenon_intro zenon_H123. % 0.74/0.90 apply (zenon_imply_s _ _ zenon_H123); [ zenon_intro zenon_H9 | zenon_intro zenon_H124 ]. % 0.74/0.90 exact (zenon_H9 zenon_Ha). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H5e | zenon_intro zenon_H125 ]. % 0.74/0.90 exact (zenon_H58 zenon_H5e). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H126 | zenon_intro zenon_H5f ]. % 0.74/0.90 exact (zenon_H126 zenon_Hc4). % 0.74/0.90 exact (zenon_H5f zenon_H5a). % 0.74/0.90 (* end of lemma zenon_L76_ *) % 0.74/0.90 assert (zenon_L77_ : ((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (c2_1 (a1989)) -> (~(c3_1 (a1989))) -> (~(c0_1 (a1989))) -> (~(hskp13)) -> False). % 0.74/0.90 do 0 intro. intros zenon_Hc1 zenon_H127 zenon_H11c zenon_H11b zenon_H11a zenon_H15. % 0.74/0.90 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2. % 0.74/0.90 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc3. % 0.74/0.90 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H119 | zenon_intro zenon_H128 ]. % 0.74/0.90 apply (zenon_L75_); trivial. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2e | zenon_intro zenon_H16 ]. % 0.74/0.90 apply (zenon_L76_); trivial. % 0.74/0.90 exact (zenon_H15 zenon_H16). % 0.74/0.90 (* end of lemma zenon_L77_ *) % 0.74/0.90 assert (zenon_L78_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (c2_1 (a1989)) -> (~(c3_1 (a1989))) -> (~(c0_1 (a1989))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp13)\/(hskp17))) -> (~(hskp13)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> (~(hskp6)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/((hskp6)\/(hskp18))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((hskp23)\/((hskp5)\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2000)))/\((~(c1_1 (a2000)))/\(~(c3_1 (a2000))))))) -> False). % 0.74/0.90 do 0 intro. intros zenon_Hc5 zenon_H127 zenon_H11c zenon_H11b zenon_H11a zenon_H50 zenon_H97 zenon_H15 zenon_H76 zenon_H74 zenon_H2d zenon_H8a zenon_H89 zenon_H9f zenon_H9d zenon_H9b zenon_Hb5 zenon_Hb8 zenon_Hbc zenon_Hc0. % 0.74/0.90 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.74/0.90 apply (zenon_L51_); trivial. % 0.74/0.90 apply (zenon_L77_); trivial. % 0.74/0.90 (* end of lemma zenon_L78_ *) % 0.74/0.90 assert (zenon_L79_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp12)\/(hskp0))) -> (~(hskp0)) -> (~(hskp12)) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2000)))/\((~(c1_1 (a2000)))/\(~(c3_1 (a2000))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/((hskp6)\/(hskp18))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp6)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp13)\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> (~(c0_1 (a1989))) -> (~(c3_1 (a1989))) -> (c2_1 (a1989)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> False). % 0.74/0.90 do 0 intro. intros zenon_Hff zenon_Hfa zenon_Hf8 zenon_H38 zenon_Hc0 zenon_Hbc zenon_Hb8 zenon_Hb5 zenon_H9b zenon_H9d zenon_H9f zenon_H89 zenon_H8a zenon_H2d zenon_H74 zenon_H76 zenon_H97 zenon_H50 zenon_H11a zenon_H11b zenon_H11c zenon_H127 zenon_Hc5. % 0.74/0.90 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.74/0.90 apply (zenon_L78_); trivial. % 0.74/0.90 apply (zenon_L68_); trivial. % 0.74/0.90 (* end of lemma zenon_L79_ *) % 0.74/0.90 assert (zenon_L80_ : ((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((hskp1)\/(hskp10))) -> (~(hskp1)) -> (~(hskp10)) -> False). % 0.74/0.90 do 0 intro. intros zenon_H129 zenon_H117 zenon_Hb5 zenon_H6e. % 0.74/0.90 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Ha. zenon_intro zenon_H12a. % 0.74/0.90 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H110. zenon_intro zenon_H12b. % 0.74/0.90 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.74/0.90 apply (zenon_L74_); trivial. % 0.74/0.90 (* end of lemma zenon_L80_ *) % 0.74/0.90 assert (zenon_L81_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((hskp1)\/(hskp10))) -> (~(hskp10)) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (c2_1 (a1989)) -> (~(c3_1 (a1989))) -> (~(c0_1 (a1989))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp13)\/(hskp17))) -> ((hskp30)\/((hskp27)\/(hskp6))) -> (~(hskp6)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/((hskp6)\/(hskp18))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((hskp23)\/((hskp5)\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2000)))/\((~(c1_1 (a2000)))/\(~(c3_1 (a2000))))))) -> (~(hskp0)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp12)\/(hskp0))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> False). % 0.74/0.90 do 0 intro. intros zenon_H12c zenon_H117 zenon_H6e zenon_Hc5 zenon_H127 zenon_H11c zenon_H11b zenon_H11a zenon_H50 zenon_H97 zenon_H76 zenon_H74 zenon_H2d zenon_H8a zenon_H89 zenon_H9f zenon_H9d zenon_H9b zenon_Hb5 zenon_Hb8 zenon_Hbc zenon_Hc0 zenon_Hf8 zenon_Hfa zenon_Hff. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.74/0.90 apply (zenon_L79_); trivial. % 0.74/0.90 apply (zenon_L80_); trivial. % 0.74/0.90 (* end of lemma zenon_L81_ *) % 0.74/0.90 assert (zenon_L82_ : ((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (c3_1 (a2001)) -> (c2_1 (a2001)) -> (~(c0_1 (a2001))) -> False). % 0.74/0.90 do 0 intro. intros zenon_Hb7 zenon_H12d zenon_He zenon_Hd zenon_Hc. % 0.74/0.90 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Ha. zenon_intro zenon_Hb9. % 0.74/0.90 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Had. zenon_intro zenon_Hba. % 0.74/0.90 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Hae. zenon_intro zenon_Hac. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_Hb | zenon_intro zenon_Hab ]. % 0.74/0.90 apply (zenon_L6_); trivial. % 0.74/0.90 apply (zenon_L46_); trivial. % 0.74/0.90 (* end of lemma zenon_L82_ *) % 0.74/0.90 assert (zenon_L83_ : ((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> False). % 0.74/0.90 do 0 intro. intros zenon_H12e zenon_Hbc zenon_H12d zenon_H9b zenon_H9d zenon_H9f. % 0.74/0.90 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Ha. zenon_intro zenon_H12f. % 0.74/0.90 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_Hd. zenon_intro zenon_H130. % 0.74/0.90 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.74/0.90 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb7 ]. % 0.74/0.90 apply (zenon_L44_); trivial. % 0.74/0.90 apply (zenon_L82_); trivial. % 0.74/0.90 (* end of lemma zenon_L83_ *) % 0.74/0.90 assert (zenon_L84_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> (~(hskp16)) -> (~(hskp15)) -> ((hskp16)\/((hskp19)\/(hskp15))) -> False). % 0.74/0.90 do 0 intro. intros zenon_H131 zenon_Hbc zenon_H12d zenon_H9b zenon_H9d zenon_H9f zenon_H1 zenon_H5 zenon_H7. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H3 | zenon_intro zenon_H12e ]. % 0.74/0.90 apply (zenon_L4_); trivial. % 0.74/0.90 apply (zenon_L83_); trivial. % 0.74/0.90 (* end of lemma zenon_L84_ *) % 0.74/0.90 assert (zenon_L85_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (c1_1 (a2014)) -> (c0_1 (a2014)) -> (~(c2_1 (a2014))) -> (c3_1 (a1998)) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))) -> (~(c0_1 (a1998))) -> (ndr1_0) -> False). % 0.74/0.90 do 0 intro. intros zenon_H12d zenon_Hae zenon_Had zenon_Hac zenon_H5a zenon_H59 zenon_H58 zenon_Ha. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_Hb | zenon_intro zenon_Hab ]. % 0.74/0.90 apply (zenon_L21_); trivial. % 0.74/0.90 apply (zenon_L46_); trivial. % 0.74/0.90 (* end of lemma zenon_L85_ *) % 0.74/0.90 assert (zenon_L86_ : ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> (c2_1 (a2003)) -> (c1_1 (a2003)) -> (~(c3_1 (a2003))) -> (forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28)))))) -> (ndr1_0) -> (~(hskp1)) -> (~(hskp4)) -> False). % 0.74/0.90 do 0 intro. intros zenon_H132 zenon_H1f zenon_H1e zenon_H1d zenon_H1c zenon_Ha zenon_Hb5 zenon_H3a. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H1b | zenon_intro zenon_H133 ]. % 0.74/0.90 apply (zenon_L10_); trivial. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H3b ]. % 0.74/0.90 exact (zenon_Hb5 zenon_Hb6). % 0.74/0.90 exact (zenon_H3a zenon_H3b). % 0.74/0.90 (* end of lemma zenon_L86_ *) % 0.74/0.90 assert (zenon_L87_ : (forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))) -> (ndr1_0) -> (~(c2_1 (a1996))) -> (c1_1 (a1996)) -> (c3_1 (a1996)) -> False). % 0.74/0.90 do 0 intro. intros zenon_H134 zenon_Ha zenon_H135 zenon_H136 zenon_H137. % 0.74/0.90 generalize (zenon_H134 (a1996)). zenon_intro zenon_H138. % 0.74/0.90 apply (zenon_imply_s _ _ zenon_H138); [ zenon_intro zenon_H9 | zenon_intro zenon_H139 ]. % 0.74/0.90 exact (zenon_H9 zenon_Ha). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H13b | zenon_intro zenon_H13a ]. % 0.74/0.90 exact (zenon_H135 zenon_H13b). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H13d | zenon_intro zenon_H13c ]. % 0.74/0.90 exact (zenon_H13d zenon_H136). % 0.74/0.90 exact (zenon_H13c zenon_H137). % 0.74/0.90 (* end of lemma zenon_L87_ *) % 0.74/0.90 assert (zenon_L88_ : (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V)))))) -> (ndr1_0) -> (forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))) -> (~(c2_1 (a1996))) -> (c3_1 (a1996)) -> (c0_1 (a1996)) -> False). % 0.74/0.90 do 0 intro. intros zenon_H13e zenon_Ha zenon_H134 zenon_H135 zenon_H137 zenon_H13f. % 0.74/0.90 generalize (zenon_H13e (a1996)). zenon_intro zenon_H140. % 0.74/0.90 apply (zenon_imply_s _ _ zenon_H140); [ zenon_intro zenon_H9 | zenon_intro zenon_H141 ]. % 0.74/0.90 exact (zenon_H9 zenon_Ha). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H136 | zenon_intro zenon_H142 ]. % 0.74/0.90 apply (zenon_L87_); trivial. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H13b | zenon_intro zenon_H143 ]. % 0.74/0.90 exact (zenon_H135 zenon_H13b). % 0.74/0.90 exact (zenon_H143 zenon_H13f). % 0.74/0.90 (* end of lemma zenon_L88_ *) % 0.74/0.90 assert (zenon_L89_ : (forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))) -> (ndr1_0) -> (~(c1_1 (a1987))) -> (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33)))))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> False). % 0.74/0.90 do 0 intro. intros zenon_H144 zenon_Ha zenon_H145 zenon_Hb zenon_H146 zenon_H147. % 0.74/0.90 generalize (zenon_H144 (a1987)). zenon_intro zenon_H148. % 0.74/0.90 apply (zenon_imply_s _ _ zenon_H148); [ zenon_intro zenon_H9 | zenon_intro zenon_H149 ]. % 0.74/0.90 exact (zenon_H9 zenon_Ha). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H14b | zenon_intro zenon_H14a ]. % 0.74/0.90 exact (zenon_H145 zenon_H14b). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H14d | zenon_intro zenon_H14c ]. % 0.74/0.90 generalize (zenon_Hb (a1987)). zenon_intro zenon_H14e. % 0.74/0.90 apply (zenon_imply_s _ _ zenon_H14e); [ zenon_intro zenon_H9 | zenon_intro zenon_H14f ]. % 0.74/0.90 exact (zenon_H9 zenon_Ha). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H151 | zenon_intro zenon_H150 ]. % 0.74/0.90 exact (zenon_H14d zenon_H151). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H14c | zenon_intro zenon_H152 ]. % 0.74/0.90 exact (zenon_H14c zenon_H146). % 0.74/0.90 exact (zenon_H152 zenon_H147). % 0.74/0.90 exact (zenon_H14c zenon_H146). % 0.74/0.90 (* end of lemma zenon_L89_ *) % 0.74/0.90 assert (zenon_L90_ : (forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))) -> (ndr1_0) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> False). % 0.74/0.90 do 0 intro. intros zenon_H153 zenon_Ha zenon_H145 zenon_H146 zenon_H147. % 0.74/0.90 generalize (zenon_H153 (a1987)). zenon_intro zenon_H154. % 0.74/0.90 apply (zenon_imply_s _ _ zenon_H154); [ zenon_intro zenon_H9 | zenon_intro zenon_H155 ]. % 0.74/0.90 exact (zenon_H9 zenon_Ha). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H14b | zenon_intro zenon_H150 ]. % 0.74/0.90 exact (zenon_H145 zenon_H14b). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H14c | zenon_intro zenon_H152 ]. % 0.74/0.90 exact (zenon_H14c zenon_H146). % 0.74/0.90 exact (zenon_H152 zenon_H147). % 0.74/0.90 (* end of lemma zenon_L90_ *) % 0.74/0.90 assert (zenon_L91_ : ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> (c2_1 (a2005)) -> (c3_1 (a2005)) -> (forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56)))))) -> (c0_1 (a2005)) -> (ndr1_0) -> (~(hskp1)) -> (~(hskp4)) -> False). % 0.74/0.90 do 0 intro. intros zenon_H132 zenon_H7b zenon_H7a zenon_H79 zenon_H78 zenon_Ha zenon_Hb5 zenon_H3a. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H1b | zenon_intro zenon_H133 ]. % 0.74/0.90 apply (zenon_L33_); trivial. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H3b ]. % 0.74/0.90 exact (zenon_Hb5 zenon_Hb6). % 0.74/0.90 exact (zenon_H3a zenon_H3b). % 0.74/0.90 (* end of lemma zenon_L91_ *) % 0.74/0.90 assert (zenon_L92_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (c3_1 (a1987)) -> (c2_1 (a1987)) -> (~(c1_1 (a1987))) -> (forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))) -> (~(c2_1 (a1996))) -> (c3_1 (a1996)) -> (c0_1 (a1996)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (~(hskp4)) -> (~(hskp1)) -> (ndr1_0) -> (c0_1 (a2005)) -> (c3_1 (a2005)) -> (c2_1 (a2005)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> (~(hskp19)) -> False). % 0.74/0.90 do 0 intro. intros zenon_H156 zenon_H147 zenon_H146 zenon_H145 zenon_H134 zenon_H135 zenon_H137 zenon_H13f zenon_H157 zenon_H3a zenon_Hb5 zenon_Ha zenon_H78 zenon_H7a zenon_H7b zenon_H132 zenon_H3. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb | zenon_intro zenon_H158 ]. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H13e | zenon_intro zenon_H159 ]. % 0.74/0.90 apply (zenon_L88_); trivial. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H144 | zenon_intro zenon_H153 ]. % 0.74/0.90 apply (zenon_L89_); trivial. % 0.74/0.90 apply (zenon_L90_); trivial. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H79 | zenon_intro zenon_H4 ]. % 0.74/0.90 apply (zenon_L91_); trivial. % 0.74/0.90 exact (zenon_H3 zenon_H4). % 0.74/0.90 (* end of lemma zenon_L92_ *) % 0.74/0.90 assert (zenon_L93_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (c3_1 (a1987)) -> (c2_1 (a1987)) -> (~(c1_1 (a1987))) -> (c0_1 (a1996)) -> (c3_1 (a1996)) -> (~(c2_1 (a1996))) -> (~(hskp19)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(c3_1 (a2003))) -> (c1_1 (a2003)) -> (c2_1 (a2003)) -> (~(hskp1)) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> (~(c0_1 (a1998))) -> (c3_1 (a1998)) -> (~(c2_1 (a2014))) -> (c0_1 (a2014)) -> (c1_1 (a2014)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(hskp27)) -> (~(hskp6)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> False). % 0.74/0.90 do 0 intro. intros zenon_H89 zenon_H15a zenon_H157 zenon_H147 zenon_H146 zenon_H145 zenon_H13f zenon_H137 zenon_H135 zenon_H3 zenon_H156 zenon_H1d zenon_H1e zenon_H1f zenon_Hb5 zenon_H3a zenon_H132 zenon_H58 zenon_H5a zenon_Hac zenon_Had zenon_Hae zenon_H12d zenon_H3c zenon_H74 zenon_H76. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H72 | zenon_intro zenon_H8b ]. % 0.74/0.90 apply (zenon_L32_); trivial. % 0.74/0.90 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Ha. zenon_intro zenon_H8c. % 0.74/0.90 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H78. zenon_intro zenon_H8d. % 0.74/0.90 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H59 | zenon_intro zenon_H15b ]. % 0.74/0.90 apply (zenon_L85_); trivial. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1c | zenon_intro zenon_H134 ]. % 0.74/0.90 apply (zenon_L86_); trivial. % 0.74/0.90 apply (zenon_L92_); trivial. % 0.74/0.90 (* end of lemma zenon_L93_ *) % 0.74/0.90 assert (zenon_L94_ : ((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> (~(hskp11)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> (~(hskp6)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (c3_1 (a1998)) -> (~(c0_1 (a1998))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> (~(hskp4)) -> (~(hskp1)) -> (c2_1 (a2003)) -> (c1_1 (a2003)) -> (~(c3_1 (a2003))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(hskp19)) -> (~(c2_1 (a1996))) -> (c3_1 (a1996)) -> (c0_1 (a1996)) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> False). % 0.74/0.90 do 0 intro. intros zenon_Hb7 zenon_H50 zenon_H4b zenon_H48 zenon_H76 zenon_H74 zenon_H12d zenon_H5a zenon_H58 zenon_H132 zenon_H3a zenon_Hb5 zenon_H1f zenon_H1e zenon_H1d zenon_H156 zenon_H3 zenon_H135 zenon_H137 zenon_H13f zenon_H145 zenon_H146 zenon_H147 zenon_H157 zenon_H15a zenon_H89. % 0.74/0.90 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Ha. zenon_intro zenon_Hb9. % 0.74/0.90 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Had. zenon_intro zenon_Hba. % 0.74/0.90 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Hae. zenon_intro zenon_Hac. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H3c | zenon_intro zenon_H4a ]. % 0.74/0.90 apply (zenon_L93_); trivial. % 0.74/0.90 apply (zenon_L19_); trivial. % 0.74/0.90 (* end of lemma zenon_L94_ *) % 0.74/0.90 assert (zenon_L95_ : ((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp9)\/(hskp11))) -> (~(hskp11)) -> (~(hskp9)) -> (~(hskp13)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((hskp13)\/(hskp20))) -> ((hskp23)\/((hskp5)\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (c3_1 (a1987)) -> (c2_1 (a1987)) -> (~(c1_1 (a1987))) -> (c0_1 (a1996)) -> (c3_1 (a1996)) -> (~(c2_1 (a1996))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(hskp1)) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(hskp6)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> False). % 0.74/0.90 do 0 intro. intros zenon_Hc1 zenon_H131 zenon_H67 zenon_H48 zenon_H65 zenon_H15 zenon_H19 zenon_H9f zenon_H9d zenon_H9b zenon_H89 zenon_H15a zenon_H157 zenon_H147 zenon_H146 zenon_H145 zenon_H13f zenon_H137 zenon_H135 zenon_H156 zenon_Hb5 zenon_H3a zenon_H132 zenon_H12d zenon_H74 zenon_H76 zenon_H4b zenon_H50 zenon_Hbc zenon_H4f. % 0.74/0.90 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2. % 0.74/0.90 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc3. % 0.74/0.90 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H3 | zenon_intro zenon_H12e ]. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H17 | zenon_intro zenon_H53 ]. % 0.74/0.90 apply (zenon_L24_); trivial. % 0.74/0.90 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_Ha. zenon_intro zenon_H54. % 0.74/0.90 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H1e. zenon_intro zenon_H55. % 0.74/0.90 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H1f. zenon_intro zenon_H1d. % 0.74/0.90 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb7 ]. % 0.74/0.90 apply (zenon_L44_); trivial. % 0.74/0.90 apply (zenon_L94_); trivial. % 0.74/0.90 apply (zenon_L83_); trivial. % 0.74/0.90 (* end of lemma zenon_L95_ *) % 0.74/0.90 assert (zenon_L96_ : ((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> (~(hskp11)) -> (~(hskp4)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((hskp4)\/(hskp27))) -> False). % 0.74/0.90 do 0 intro. intros zenon_H15c zenon_H50 zenon_H4b zenon_H48 zenon_H3a zenon_H52. % 0.74/0.90 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_Ha. zenon_intro zenon_H15d. % 0.74/0.90 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H106. zenon_intro zenon_H15e. % 0.74/0.90 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.74/0.90 apply (zenon_L72_); trivial. % 0.74/0.90 (* end of lemma zenon_L96_ *) % 0.74/0.90 assert (zenon_L97_ : (forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64)))))) -> (ndr1_0) -> (c0_1 (a1996)) -> (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V)))))) -> (~(c2_1 (a1996))) -> (c3_1 (a1996)) -> False). % 0.74/0.90 do 0 intro. intros zenon_Hdb zenon_Ha zenon_H13f zenon_H13e zenon_H135 zenon_H137. % 0.74/0.90 generalize (zenon_Hdb (a1996)). zenon_intro zenon_H15f. % 0.74/0.90 apply (zenon_imply_s _ _ zenon_H15f); [ zenon_intro zenon_H9 | zenon_intro zenon_H160 ]. % 0.74/0.90 exact (zenon_H9 zenon_Ha). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H143 | zenon_intro zenon_H13a ]. % 0.74/0.90 exact (zenon_H143 zenon_H13f). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H13d | zenon_intro zenon_H13c ]. % 0.74/0.90 generalize (zenon_H13e (a1996)). zenon_intro zenon_H140. % 0.74/0.90 apply (zenon_imply_s _ _ zenon_H140); [ zenon_intro zenon_H9 | zenon_intro zenon_H141 ]. % 0.74/0.90 exact (zenon_H9 zenon_Ha). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H136 | zenon_intro zenon_H142 ]. % 0.74/0.90 exact (zenon_H13d zenon_H136). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H13b | zenon_intro zenon_H143 ]. % 0.74/0.90 exact (zenon_H135 zenon_H13b). % 0.74/0.90 exact (zenon_H143 zenon_H13f). % 0.74/0.90 exact (zenon_H13c zenon_H137). % 0.74/0.90 (* end of lemma zenon_L97_ *) % 0.74/0.90 assert (zenon_L98_ : ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (c3_1 (a1996)) -> (~(c2_1 (a1996))) -> (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V)))))) -> (c0_1 (a1996)) -> (ndr1_0) -> (~(hskp20)) -> False). % 0.74/0.90 do 0 intro. intros zenon_H161 zenon_H137 zenon_H135 zenon_H13e zenon_H13f zenon_Ha zenon_H17. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H134 | zenon_intro zenon_H162 ]. % 0.74/0.90 apply (zenon_L88_); trivial. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hdb | zenon_intro zenon_H18 ]. % 0.74/0.90 apply (zenon_L97_); trivial. % 0.74/0.90 exact (zenon_H17 zenon_H18). % 0.74/0.90 (* end of lemma zenon_L98_ *) % 0.74/0.90 assert (zenon_L99_ : (forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))) -> (ndr1_0) -> (~(c1_1 (a2005))) -> (c2_1 (a2005)) -> (c3_1 (a2005)) -> False). % 0.74/0.90 do 0 intro. intros zenon_H153 zenon_Ha zenon_H81 zenon_H7b zenon_H7a. % 0.74/0.90 generalize (zenon_H153 (a2005)). zenon_intro zenon_H163. % 0.74/0.90 apply (zenon_imply_s _ _ zenon_H163); [ zenon_intro zenon_H9 | zenon_intro zenon_H164 ]. % 0.74/0.90 exact (zenon_H9 zenon_Ha). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H85 | zenon_intro zenon_H165 ]. % 0.74/0.90 exact (zenon_H81 zenon_H85). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H80 | zenon_intro zenon_H86 ]. % 0.74/0.90 exact (zenon_H80 zenon_H7b). % 0.74/0.90 exact (zenon_H86 zenon_H7a). % 0.74/0.90 (* end of lemma zenon_L99_ *) % 0.74/0.90 assert (zenon_L100_ : (forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (ndr1_0) -> (c0_1 (a2005)) -> (forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))) -> (c2_1 (a2005)) -> (c3_1 (a2005)) -> False). % 0.74/0.90 do 0 intro. intros zenon_H1b zenon_Ha zenon_H78 zenon_H153 zenon_H7b zenon_H7a. % 0.74/0.90 generalize (zenon_H1b (a2005)). zenon_intro zenon_H7c. % 0.74/0.90 apply (zenon_imply_s _ _ zenon_H7c); [ zenon_intro zenon_H9 | zenon_intro zenon_H7d ]. % 0.74/0.90 exact (zenon_H9 zenon_Ha). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H7f | zenon_intro zenon_H7e ]. % 0.74/0.90 exact (zenon_H7f zenon_H78). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 0.74/0.90 apply (zenon_L99_); trivial. % 0.74/0.90 exact (zenon_H80 zenon_H7b). % 0.74/0.90 (* end of lemma zenon_L100_ *) % 0.74/0.90 assert (zenon_L101_ : ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp17)) -> (c3_1 (a2005)) -> (c2_1 (a2005)) -> (forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))) -> (c0_1 (a2005)) -> (ndr1_0) -> False). % 0.74/0.90 do 0 intro. intros zenon_H2d zenon_H2b zenon_H7a zenon_H7b zenon_H153 zenon_H78 zenon_Ha. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H1b | zenon_intro zenon_H2c ]. % 0.74/0.90 apply (zenon_L100_); trivial. % 0.74/0.90 exact (zenon_H2b zenon_H2c). % 0.74/0.90 (* end of lemma zenon_L101_ *) % 0.74/0.90 assert (zenon_L102_ : ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (~(hskp20)) -> (c0_1 (a1996)) -> (~(c2_1 (a1996))) -> (c3_1 (a1996)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (c3_1 (a1987)) -> (c2_1 (a1987)) -> (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33)))))) -> (~(c1_1 (a1987))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp17)) -> (c3_1 (a2005)) -> (c2_1 (a2005)) -> (c0_1 (a2005)) -> (ndr1_0) -> False). % 0.74/0.90 do 0 intro. intros zenon_H157 zenon_H17 zenon_H13f zenon_H135 zenon_H137 zenon_H161 zenon_H147 zenon_H146 zenon_Hb zenon_H145 zenon_H2d zenon_H2b zenon_H7a zenon_H7b zenon_H78 zenon_Ha. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H13e | zenon_intro zenon_H159 ]. % 0.74/0.90 apply (zenon_L98_); trivial. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H144 | zenon_intro zenon_H153 ]. % 0.74/0.90 apply (zenon_L89_); trivial. % 0.74/0.90 apply (zenon_L101_); trivial. % 0.74/0.90 (* end of lemma zenon_L102_ *) % 0.74/0.90 assert (zenon_L103_ : (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))) -> (ndr1_0) -> (forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56)))))) -> (~(c1_1 (a1990))) -> (c3_1 (a1990)) -> (~(c2_1 (a1990))) -> False). % 0.74/0.90 do 0 intro. intros zenon_H59 zenon_Ha zenon_H79 zenon_H10e zenon_H110 zenon_H10f. % 0.74/0.90 generalize (zenon_H59 (a1990)). zenon_intro zenon_H166. % 0.74/0.90 apply (zenon_imply_s _ _ zenon_H166); [ zenon_intro zenon_H9 | zenon_intro zenon_H167 ]. % 0.74/0.90 exact (zenon_H9 zenon_Ha). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H168 | zenon_intro zenon_H113 ]. % 0.74/0.90 generalize (zenon_H79 (a1990)). zenon_intro zenon_H169. % 0.74/0.90 apply (zenon_imply_s _ _ zenon_H169); [ zenon_intro zenon_H9 | zenon_intro zenon_H16a ]. % 0.74/0.90 exact (zenon_H9 zenon_Ha). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H114 | zenon_intro zenon_H16b ]. % 0.74/0.90 exact (zenon_H10e zenon_H114). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H16c | zenon_intro zenon_H115 ]. % 0.74/0.90 exact (zenon_H16c zenon_H168). % 0.74/0.90 exact (zenon_H115 zenon_H110). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H116 | zenon_intro zenon_H115 ]. % 0.74/0.90 exact (zenon_H10f zenon_H116). % 0.74/0.90 exact (zenon_H115 zenon_H110). % 0.74/0.90 (* end of lemma zenon_L103_ *) % 0.74/0.90 assert (zenon_L104_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (c0_1 (a2005)) -> (c2_1 (a2005)) -> (c3_1 (a2005)) -> (~(hskp17)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (c3_1 (a1996)) -> (~(c2_1 (a1996))) -> (c0_1 (a1996)) -> (~(hskp20)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (~(c2_1 (a1990))) -> (c3_1 (a1990)) -> (~(c1_1 (a1990))) -> (ndr1_0) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))) -> (~(hskp19)) -> False). % 0.74/0.90 do 0 intro. intros zenon_H156 zenon_H78 zenon_H7b zenon_H7a zenon_H2b zenon_H2d zenon_H145 zenon_H146 zenon_H147 zenon_H161 zenon_H137 zenon_H135 zenon_H13f zenon_H17 zenon_H157 zenon_H10f zenon_H110 zenon_H10e zenon_Ha zenon_H59 zenon_H3. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb | zenon_intro zenon_H158 ]. % 0.74/0.90 apply (zenon_L102_); trivial. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H79 | zenon_intro zenon_H4 ]. % 0.74/0.90 apply (zenon_L103_); trivial. % 0.74/0.90 exact (zenon_H3 zenon_H4). % 0.74/0.90 (* end of lemma zenon_L104_ *) % 0.74/0.90 assert (zenon_L105_ : ((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp9))) -> (~(hskp19)) -> (~(c1_1 (a1990))) -> (c3_1 (a1990)) -> (~(c2_1 (a1990))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(hskp17)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (c3_1 (a1996)) -> (~(c2_1 (a1996))) -> (c0_1 (a1996)) -> (~(hskp20)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (~(hskp9)) -> False). % 0.74/0.90 do 0 intro. intros zenon_H8b zenon_H16d zenon_H3 zenon_H10e zenon_H110 zenon_H10f zenon_H156 zenon_H2b zenon_H2d zenon_H145 zenon_H146 zenon_H147 zenon_H161 zenon_H137 zenon_H135 zenon_H13f zenon_H17 zenon_H157 zenon_H65. % 0.74/0.90 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Ha. zenon_intro zenon_H8c. % 0.74/0.90 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H78. zenon_intro zenon_H8d. % 0.74/0.90 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H59 | zenon_intro zenon_H16e ]. % 0.74/0.90 apply (zenon_L104_); trivial. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_Hb | zenon_intro zenon_H66 ]. % 0.74/0.90 apply (zenon_L102_); trivial. % 0.74/0.90 exact (zenon_H65 zenon_H66). % 0.74/0.90 (* end of lemma zenon_L105_ *) % 0.74/0.90 assert (zenon_L106_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> (~(hskp11)) -> (~(hskp4)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> (~(hskp6)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(hskp19)) -> (~(c2_1 (a1990))) -> (c3_1 (a1990)) -> (~(c1_1 (a1990))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (~(hskp20)) -> (c0_1 (a1996)) -> (c3_1 (a1996)) -> (~(c2_1 (a1996))) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp17)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (~(hskp9)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> False). % 0.74/0.90 do 0 intro. intros zenon_H50 zenon_H4b zenon_H48 zenon_H3a zenon_H76 zenon_H74 zenon_H156 zenon_H3 zenon_H10f zenon_H110 zenon_H10e zenon_H161 zenon_H17 zenon_H13f zenon_H137 zenon_H135 zenon_H145 zenon_H146 zenon_H147 zenon_H2d zenon_H2b zenon_H157 zenon_H65 zenon_H16d zenon_H89. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H3c | zenon_intro zenon_H4a ]. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H72 | zenon_intro zenon_H8b ]. % 0.74/0.90 apply (zenon_L32_); trivial. % 0.74/0.90 apply (zenon_L105_); trivial. % 0.74/0.90 apply (zenon_L19_); trivial. % 0.74/0.90 (* end of lemma zenon_L106_ *) % 0.74/0.90 assert (zenon_L107_ : (forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))) -> (ndr1_0) -> (~(c3_1 (a2003))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))) -> (c2_1 (a2003)) -> False). % 0.74/0.90 do 0 intro. intros zenon_Hd4 zenon_Ha zenon_H1d zenon_H119 zenon_H1f. % 0.74/0.90 generalize (zenon_Hd4 (a2003)). zenon_intro zenon_Hd6. % 0.74/0.90 apply (zenon_imply_s _ _ zenon_Hd6); [ zenon_intro zenon_H9 | zenon_intro zenon_Hd7 ]. % 0.74/0.90 exact (zenon_H9 zenon_Ha). % 0.74/0.90 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_H29 | zenon_intro zenon_Hd8 ]. % 0.74/0.90 exact (zenon_H1d zenon_H29). % 0.74/0.90 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H23 | zenon_intro zenon_H2a ]. % 0.74/0.90 generalize (zenon_H119 (a2003)). zenon_intro zenon_H16f. % 0.74/0.90 apply (zenon_imply_s _ _ zenon_H16f); [ zenon_intro zenon_H9 | zenon_intro zenon_H170 ]. % 0.74/0.90 exact (zenon_H9 zenon_Ha). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H27 | zenon_intro zenon_H171 ]. % 0.74/0.90 exact (zenon_H23 zenon_H27). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H29 | zenon_intro zenon_H2a ]. % 0.74/0.90 exact (zenon_H1d zenon_H29). % 0.74/0.90 exact (zenon_H2a zenon_H1f). % 0.74/0.90 exact (zenon_H2a zenon_H1f). % 0.74/0.90 (* end of lemma zenon_L107_ *) % 0.74/0.90 assert (zenon_L108_ : ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> (c2_1 (a2003)) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))) -> (~(c3_1 (a2003))) -> (ndr1_0) -> (~(hskp4)) -> (~(hskp17)) -> False). % 0.74/0.90 do 0 intro. intros zenon_H172 zenon_H1f zenon_H119 zenon_H1d zenon_Ha zenon_H3a zenon_H2b. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H173 ]. % 0.74/0.90 apply (zenon_L107_); trivial. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H3b | zenon_intro zenon_H2c ]. % 0.74/0.90 exact (zenon_H3a zenon_H3b). % 0.74/0.90 exact (zenon_H2b zenon_H2c). % 0.74/0.90 (* end of lemma zenon_L108_ *) % 0.74/0.90 assert (zenon_L109_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> (~(hskp17)) -> (~(hskp4)) -> (~(c3_1 (a2003))) -> (c2_1 (a2003)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> (~(c2_1 (a1990))) -> (c3_1 (a1990)) -> (~(c1_1 (a1990))) -> (ndr1_0) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))) -> (~(hskp14)) -> False). % 0.74/0.90 do 0 intro. intros zenon_H174 zenon_H2b zenon_H3a zenon_H1d zenon_H1f zenon_H172 zenon_H10f zenon_H110 zenon_H10e zenon_Ha zenon_H59 zenon_H6c. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H119 | zenon_intro zenon_H175 ]. % 0.74/0.90 apply (zenon_L108_); trivial. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H79 | zenon_intro zenon_H6d ]. % 0.74/0.90 apply (zenon_L103_); trivial. % 0.74/0.90 exact (zenon_H6c zenon_H6d). % 0.74/0.90 (* end of lemma zenon_L109_ *) % 0.74/0.90 assert (zenon_L110_ : ((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> (~(hskp11)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> (~(hskp6)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> (~(hskp14)) -> (~(c2_1 (a1990))) -> (c3_1 (a1990)) -> (~(c1_1 (a1990))) -> (~(hskp4)) -> (~(hskp17)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(hskp19)) -> (~(hskp1)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> (~(c2_1 (a1996))) -> (c3_1 (a1996)) -> (c0_1 (a1996)) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> False). % 0.74/0.90 do 0 intro. intros zenon_H53 zenon_H50 zenon_H4b zenon_H48 zenon_H76 zenon_H74 zenon_H174 zenon_H6c zenon_H10f zenon_H110 zenon_H10e zenon_H3a zenon_H2b zenon_H172 zenon_H2d zenon_H156 zenon_H3 zenon_Hb5 zenon_H132 zenon_H135 zenon_H137 zenon_H13f zenon_H145 zenon_H146 zenon_H147 zenon_H157 zenon_H15a zenon_H89. % 0.74/0.90 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_Ha. zenon_intro zenon_H54. % 0.74/0.90 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H1e. zenon_intro zenon_H55. % 0.74/0.90 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H1f. zenon_intro zenon_H1d. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H3c | zenon_intro zenon_H4a ]. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H72 | zenon_intro zenon_H8b ]. % 0.74/0.90 apply (zenon_L32_); trivial. % 0.74/0.90 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Ha. zenon_intro zenon_H8c. % 0.74/0.90 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H78. zenon_intro zenon_H8d. % 0.74/0.90 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H59 | zenon_intro zenon_H15b ]. % 0.74/0.90 apply (zenon_L109_); trivial. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1c | zenon_intro zenon_H134 ]. % 0.74/0.90 apply (zenon_L12_); trivial. % 0.74/0.90 apply (zenon_L92_); trivial. % 0.74/0.90 apply (zenon_L19_); trivial. % 0.74/0.90 (* end of lemma zenon_L110_ *) % 0.74/0.90 assert (zenon_L111_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (c3_1 (a1998)) -> (~(c0_1 (a1998))) -> (~(c2_1 (a1990))) -> (c3_1 (a1990)) -> (~(c1_1 (a1990))) -> (ndr1_0) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))) -> (~(hskp19)) -> False). % 0.74/0.90 do 0 intro. intros zenon_H156 zenon_H5a zenon_H58 zenon_H10f zenon_H110 zenon_H10e zenon_Ha zenon_H59 zenon_H3. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb | zenon_intro zenon_H158 ]. % 0.74/0.90 apply (zenon_L21_); trivial. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H79 | zenon_intro zenon_H4 ]. % 0.74/0.90 apply (zenon_L103_); trivial. % 0.74/0.90 exact (zenon_H3 zenon_H4). % 0.74/0.90 (* end of lemma zenon_L111_ *) % 0.74/0.90 assert (zenon_L112_ : (~(hskp29)) -> (hskp29) -> False). % 0.74/0.90 do 0 intro. intros zenon_H176 zenon_H177. % 0.74/0.90 exact (zenon_H176 zenon_H177). % 0.74/0.90 (* end of lemma zenon_L112_ *) % 0.74/0.90 assert (zenon_L113_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> (~(hskp19)) -> (~(c1_1 (a1990))) -> (c3_1 (a1990)) -> (~(c2_1 (a1990))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (c3_1 (a1998)) -> (c1_1 (a1998)) -> (~(c0_1 (a1998))) -> (ndr1_0) -> (~(hskp29)) -> False). % 0.74/0.90 do 0 intro. intros zenon_H178 zenon_H3 zenon_H10e zenon_H110 zenon_H10f zenon_H156 zenon_H5a zenon_Hc4 zenon_H58 zenon_Ha zenon_H176. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H59 | zenon_intro zenon_H179 ]. % 0.74/0.90 apply (zenon_L111_); trivial. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H2e | zenon_intro zenon_H177 ]. % 0.74/0.90 apply (zenon_L76_); trivial. % 0.74/0.90 exact (zenon_H176 zenon_H177). % 0.74/0.90 (* end of lemma zenon_L113_ *) % 0.74/0.90 assert (zenon_L114_ : (forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (ndr1_0) -> (c0_1 (a1978)) -> (c1_1 (a1978)) -> (c2_1 (a1978)) -> False). % 0.74/0.90 do 0 intro. intros zenon_H1b zenon_Ha zenon_H17a zenon_H17b zenon_H17c. % 0.74/0.90 generalize (zenon_H1b (a1978)). zenon_intro zenon_H17d. % 0.74/0.90 apply (zenon_imply_s _ _ zenon_H17d); [ zenon_intro zenon_H9 | zenon_intro zenon_H17e ]. % 0.74/0.90 exact (zenon_H9 zenon_Ha). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H180 | zenon_intro zenon_H17f ]. % 0.74/0.90 exact (zenon_H180 zenon_H17a). % 0.74/0.90 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H182 | zenon_intro zenon_H181 ]. % 0.74/0.90 exact (zenon_H182 zenon_H17b). % 0.74/0.90 exact (zenon_H181 zenon_H17c). % 0.74/0.90 (* end of lemma zenon_L114_ *) % 0.74/0.90 assert (zenon_L115_ : ((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> (~(hskp1)) -> (~(hskp4)) -> False). % 0.74/0.90 do 0 intro. intros zenon_H183 zenon_H132 zenon_Hb5 zenon_H3a. % 0.74/0.90 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_Ha. zenon_intro zenon_H184. % 0.74/0.90 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H17a. zenon_intro zenon_H185. % 0.74/0.90 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17b. zenon_intro zenon_H17c. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H1b | zenon_intro zenon_H133 ]. % 0.74/0.90 apply (zenon_L114_); trivial. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H3b ]. % 0.74/0.90 exact (zenon_Hb5 zenon_Hb6). % 0.74/0.90 exact (zenon_H3a zenon_H3b). % 0.74/0.90 (* end of lemma zenon_L115_ *) % 0.74/0.90 assert (zenon_L116_ : ((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> (~(c1_1 (a1990))) -> (c3_1 (a1990)) -> (~(c2_1 (a1990))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(hskp1)) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> False). % 0.74/0.90 do 0 intro. intros zenon_Hc1 zenon_H131 zenon_Hbc zenon_H12d zenon_H9b zenon_H9d zenon_H9f zenon_H178 zenon_H10e zenon_H110 zenon_H10f zenon_H156 zenon_Hb5 zenon_H3a zenon_H132 zenon_H186. % 0.74/0.90 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2. % 0.74/0.90 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc3. % 0.74/0.90 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H3 | zenon_intro zenon_H12e ]. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H176 | zenon_intro zenon_H183 ]. % 0.74/0.90 apply (zenon_L113_); trivial. % 0.74/0.90 apply (zenon_L115_); trivial. % 0.74/0.90 apply (zenon_L83_); trivial. % 0.74/0.90 (* end of lemma zenon_L116_ *) % 0.74/0.90 assert (zenon_L117_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> (~(hskp1)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp9))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (c3_1 (a1987)) -> (c2_1 (a1987)) -> (~(c1_1 (a1987))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (~(c1_1 (a1990))) -> (c3_1 (a1990)) -> (~(c2_1 (a1990))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(hskp6)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> (~(hskp4)) -> (~(hskp11)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> (~(hskp15)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> False). % 0.74/0.90 do 0 intro. intros zenon_H187 zenon_Hc5 zenon_H178 zenon_H186 zenon_H4f zenon_H174 zenon_H6c zenon_H172 zenon_Hb5 zenon_H132 zenon_H15a zenon_H89 zenon_H16d zenon_H65 zenon_H157 zenon_H2d zenon_H147 zenon_H146 zenon_H145 zenon_H161 zenon_H10e zenon_H110 zenon_H10f zenon_H156 zenon_H74 zenon_H76 zenon_H3a zenon_H48 zenon_H4b zenon_H50 zenon_H7 zenon_H5 zenon_H9f zenon_H9d zenon_H9b zenon_H12d zenon_Hbc zenon_H131. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.74/0.90 apply (zenon_L84_); trivial. % 0.74/0.90 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Ha. zenon_intro zenon_H189. % 0.74/0.90 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H13f. zenon_intro zenon_H18a. % 0.74/0.90 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.74/0.90 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H3 | zenon_intro zenon_H12e ]. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H17 | zenon_intro zenon_H53 ]. % 0.74/0.90 apply (zenon_L106_); trivial. % 0.74/0.90 apply (zenon_L110_); trivial. % 0.74/0.90 apply (zenon_L83_); trivial. % 0.74/0.90 apply (zenon_L116_); trivial. % 0.74/0.90 (* end of lemma zenon_L117_ *) % 0.74/0.90 assert (zenon_L118_ : ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> (~(hskp20)) -> (ndr1_0) -> (c0_1 (a1996)) -> (~(c2_1 (a1996))) -> (c3_1 (a1996)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (~(hskp30)) -> (~(hskp5)) -> False). % 0.74/0.90 do 0 intro. intros zenon_H18b zenon_H17 zenon_Ha zenon_H13f zenon_H135 zenon_H137 zenon_H161 zenon_H72 zenon_H9b. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H13e | zenon_intro zenon_H18c ]. % 0.74/0.90 apply (zenon_L98_); trivial. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H73 | zenon_intro zenon_H9c ]. % 0.74/0.90 exact (zenon_H72 zenon_H73). % 0.74/0.90 exact (zenon_H9b zenon_H9c). % 0.74/0.90 (* end of lemma zenon_L118_ *) % 0.74/0.90 assert (zenon_L119_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp9))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (~(hskp17)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (c3_1 (a1987)) -> (c2_1 (a1987)) -> (~(c1_1 (a1987))) -> (~(c1_1 (a1990))) -> (c3_1 (a1990)) -> (~(c2_1 (a1990))) -> (~(hskp19)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (~(hskp20)) -> (c0_1 (a1996)) -> (c3_1 (a1996)) -> (~(c2_1 (a1996))) -> (ndr1_0) -> (~(hskp5)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> False). % 0.74/0.90 do 0 intro. intros zenon_H89 zenon_H16d zenon_H65 zenon_H157 zenon_H2b zenon_H2d zenon_H147 zenon_H146 zenon_H145 zenon_H10e zenon_H110 zenon_H10f zenon_H3 zenon_H156 zenon_H161 zenon_H17 zenon_H13f zenon_H137 zenon_H135 zenon_Ha zenon_H9b zenon_H18b. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H72 | zenon_intro zenon_H8b ]. % 0.74/0.90 apply (zenon_L118_); trivial. % 0.74/0.90 apply (zenon_L105_); trivial. % 0.74/0.90 (* end of lemma zenon_L119_ *) % 0.74/0.90 assert (zenon_L120_ : ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> (c2_1 (a2003)) -> (c1_1 (a2003)) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25)))))) -> (~(c3_1 (a2003))) -> (ndr1_0) -> (~(hskp4)) -> (~(hskp17)) -> False). % 0.74/0.90 do 0 intro. intros zenon_H172 zenon_H1f zenon_H1e zenon_Hd5 zenon_H1d zenon_Ha zenon_H3a zenon_H2b. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H173 ]. % 0.74/0.90 apply (zenon_L57_); trivial. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H3b | zenon_intro zenon_H2c ]. % 0.74/0.90 exact (zenon_H3a zenon_H3b). % 0.74/0.90 exact (zenon_H2b zenon_H2c). % 0.74/0.90 (* end of lemma zenon_L120_ *) % 0.74/0.90 assert (zenon_L121_ : ((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/(hskp7))) -> (c1_1 (a1992)) -> (~(c2_1 (a1992))) -> (~(c0_1 (a1992))) -> (~(hskp17)) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> (~(hskp7)) -> False). % 0.74/0.90 do 0 intro. intros zenon_H53 zenon_Hea zenon_Hc9 zenon_Hc8 zenon_Hc7 zenon_H2b zenon_H3a zenon_H172 zenon_He7. % 0.74/0.90 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_Ha. zenon_intro zenon_H54. % 0.74/0.90 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H1e. zenon_intro zenon_H55. % 0.74/0.90 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H1f. zenon_intro zenon_H1d. % 0.74/0.90 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hed ]. % 0.74/0.90 apply (zenon_L54_); trivial. % 0.74/0.90 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He8 ]. % 0.74/0.90 apply (zenon_L120_); trivial. % 0.74/0.90 exact (zenon_He7 zenon_He8). % 0.74/0.90 (* end of lemma zenon_L121_ *) % 0.74/0.90 assert (zenon_L122_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> (c1_1 (a1992)) -> (~(c2_1 (a1992))) -> (~(c0_1 (a1992))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> (~(hskp5)) -> (ndr1_0) -> (~(c2_1 (a1996))) -> (c3_1 (a1996)) -> (c0_1 (a1996)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(hskp19)) -> (~(c2_1 (a1990))) -> (c3_1 (a1990)) -> (~(c1_1 (a1990))) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp17)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (~(hskp9)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> False). % 0.74/0.90 do 0 intro. intros zenon_H4f zenon_Hea zenon_He7 zenon_H3a zenon_H172 zenon_Hc9 zenon_Hc8 zenon_Hc7 zenon_H18b zenon_H9b zenon_Ha zenon_H135 zenon_H137 zenon_H13f zenon_H161 zenon_H156 zenon_H3 zenon_H10f zenon_H110 zenon_H10e zenon_H145 zenon_H146 zenon_H147 zenon_H2d zenon_H2b zenon_H157 zenon_H65 zenon_H16d zenon_H89. % 0.74/0.90 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H17 | zenon_intro zenon_H53 ]. % 0.74/0.90 apply (zenon_L119_); trivial. % 0.74/0.90 apply (zenon_L121_); trivial. % 0.74/0.90 (* end of lemma zenon_L122_ *) % 0.74/0.90 assert (zenon_L123_ : ((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> (~(hskp17)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> (c1_1 (a1992)) -> (~(c2_1 (a1992))) -> (~(c0_1 (a1992))) -> (~(hskp13)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((hskp13)\/(hskp20))) -> False). % 0.74/0.91 do 0 intro. intros zenon_H12e zenon_H4f zenon_Hea zenon_He7 zenon_H3a zenon_H2b zenon_H172 zenon_Hc9 zenon_Hc8 zenon_Hc7 zenon_H15 zenon_H19. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Ha. zenon_intro zenon_H12f. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_Hd. zenon_intro zenon_H130. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H17 | zenon_intro zenon_H53 ]. % 0.74/0.91 apply (zenon_L9_); trivial. % 0.74/0.91 apply (zenon_L121_); trivial. % 0.74/0.91 (* end of lemma zenon_L123_ *) % 0.74/0.91 assert (zenon_L124_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> (~(hskp13)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((hskp13)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp9))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (~(hskp17)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (c3_1 (a1987)) -> (c2_1 (a1987)) -> (~(c1_1 (a1987))) -> (~(c1_1 (a1990))) -> (c3_1 (a1990)) -> (~(c2_1 (a1990))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (c0_1 (a1996)) -> (c3_1 (a1996)) -> (~(c2_1 (a1996))) -> (ndr1_0) -> (~(hskp5)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> (~(c0_1 (a1992))) -> (~(c2_1 (a1992))) -> (c1_1 (a1992)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> (~(hskp7)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/(hskp7))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> False). % 0.74/0.91 do 0 intro. intros zenon_H131 zenon_H15 zenon_H19 zenon_H89 zenon_H16d zenon_H65 zenon_H157 zenon_H2b zenon_H2d zenon_H147 zenon_H146 zenon_H145 zenon_H10e zenon_H110 zenon_H10f zenon_H156 zenon_H161 zenon_H13f zenon_H137 zenon_H135 zenon_Ha zenon_H9b zenon_H18b zenon_Hc7 zenon_Hc8 zenon_Hc9 zenon_H172 zenon_H3a zenon_He7 zenon_Hea zenon_H4f. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H3 | zenon_intro zenon_H12e ]. % 0.74/0.91 apply (zenon_L122_); trivial. % 0.74/0.91 apply (zenon_L123_); trivial. % 0.74/0.91 (* end of lemma zenon_L124_ *) % 0.74/0.91 assert (zenon_L125_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> (~(hskp1)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> (c1_1 (a1992)) -> (~(c2_1 (a1992))) -> (~(c0_1 (a1992))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(c2_1 (a1990))) -> (c3_1 (a1990)) -> (~(c1_1 (a1990))) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (~(hskp9)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((hskp13)\/(hskp20))) -> (~(hskp13)) -> ((hskp16)\/((hskp19)\/(hskp15))) -> (~(hskp15)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> False). % 0.74/0.91 do 0 intro. intros zenon_H187 zenon_Hc5 zenon_H178 zenon_Hb5 zenon_H132 zenon_H186 zenon_H4f zenon_Hea zenon_He7 zenon_H3a zenon_H172 zenon_Hc9 zenon_Hc8 zenon_Hc7 zenon_H18b zenon_H161 zenon_H156 zenon_H10f zenon_H110 zenon_H10e zenon_H145 zenon_H146 zenon_H147 zenon_H2d zenon_H157 zenon_H65 zenon_H16d zenon_H89 zenon_H19 zenon_H15 zenon_H7 zenon_H5 zenon_H9f zenon_H9d zenon_H9b zenon_H12d zenon_Hbc zenon_H131. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.74/0.91 apply (zenon_L84_); trivial. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Ha. zenon_intro zenon_H189. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H13f. zenon_intro zenon_H18a. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.74/0.91 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.74/0.91 apply (zenon_L124_); trivial. % 0.74/0.91 apply (zenon_L116_); trivial. % 0.74/0.91 (* end of lemma zenon_L125_ *) % 0.74/0.91 assert (zenon_L126_ : ((ndr1_0)/\((c1_1 (a1992))/\((~(c0_1 (a1992)))/\(~(c2_1 (a1992)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> (~(hskp11)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((hskp4)\/(hskp27))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> (~(hskp13)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((hskp13)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp9))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (c3_1 (a1987)) -> (c2_1 (a1987)) -> (~(c1_1 (a1987))) -> (~(c1_1 (a1990))) -> (c3_1 (a1990)) -> (~(c2_1 (a1990))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> (~(hskp7)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/(hskp7))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> False). % 0.74/0.91 do 0 intro. intros zenon_H101 zenon_H18d zenon_H50 zenon_H4b zenon_H48 zenon_H52 zenon_H131 zenon_Hbc zenon_H12d zenon_H9b zenon_H9d zenon_H9f zenon_H7 zenon_H15 zenon_H19 zenon_H89 zenon_H16d zenon_H65 zenon_H157 zenon_H2d zenon_H147 zenon_H146 zenon_H145 zenon_H10e zenon_H110 zenon_H10f zenon_H156 zenon_H161 zenon_H18b zenon_H172 zenon_H3a zenon_He7 zenon_Hea zenon_H4f zenon_H186 zenon_H132 zenon_Hb5 zenon_H178 zenon_Hc5 zenon_H187. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Ha. zenon_intro zenon_H102. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc9. zenon_intro zenon_H103. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hc7. zenon_intro zenon_Hc8. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.74/0.91 apply (zenon_L125_); trivial. % 0.74/0.91 apply (zenon_L96_); trivial. % 0.74/0.91 (* end of lemma zenon_L126_ *) % 0.74/0.91 assert (zenon_L127_ : ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> (c2_1 (a1991)) -> (c0_1 (a1991)) -> (~(c3_1 (a1991))) -> (ndr1_0) -> (~(hskp4)) -> (~(hskp17)) -> False). % 0.74/0.91 do 0 intro. intros zenon_H172 zenon_Hf1 zenon_Hf0 zenon_Hef zenon_Ha zenon_H3a zenon_H2b. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H173 ]. % 0.74/0.91 apply (zenon_L65_); trivial. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H3b | zenon_intro zenon_H2c ]. % 0.74/0.91 exact (zenon_H3a zenon_H3b). % 0.74/0.91 exact (zenon_H2b zenon_H2c). % 0.74/0.91 (* end of lemma zenon_L127_ *) % 0.74/0.91 assert (zenon_L128_ : ((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> (~(c1_1 (a1990))) -> (c3_1 (a1990)) -> (~(c2_1 (a1990))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(hskp1)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> False). % 0.74/0.91 do 0 intro. intros zenon_Hfc zenon_Hc5 zenon_H131 zenon_Hbc zenon_H12d zenon_H9b zenon_H9d zenon_H9f zenon_H178 zenon_H10e zenon_H110 zenon_H10f zenon_H156 zenon_Hb5 zenon_H132 zenon_H186 zenon_H3a zenon_H172. % 0.74/0.91 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Ha. zenon_intro zenon_Hfd. % 0.74/0.91 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hf0. zenon_intro zenon_Hfe. % 0.74/0.91 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hf1. zenon_intro zenon_Hef. % 0.74/0.91 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.74/0.91 apply (zenon_L127_); trivial. % 0.74/0.91 apply (zenon_L116_); trivial. % 0.74/0.91 (* end of lemma zenon_L128_ *) % 0.74/0.91 assert (zenon_L129_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp9))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a1992))/\((~(c0_1 (a1992)))/\(~(c2_1 (a1992))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((hskp4)\/(hskp27))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2000)))/\((~(c1_1 (a2000)))/\(~(c3_1 (a2000))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/((hskp6)\/(hskp18))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp6)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp13)\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> (~(hskp4)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((hskp13)\/(hskp20))) -> (~(hskp9)) -> (~(hskp11)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp9)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> (~(hskp0)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp12)\/(hskp0))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> False). % 0.74/0.91 do 0 intro. intros zenon_H12c zenon_H161 zenon_H16d zenon_H172 zenon_H174 zenon_H186 zenon_H178 zenon_Hea zenon_He7 zenon_H18b zenon_H100 zenon_H18d zenon_H52 zenon_H131 zenon_Hbc zenon_H12d zenon_H9b zenon_H9d zenon_H9f zenon_H7 zenon_Hc0 zenon_Hb8 zenon_Hb5 zenon_H89 zenon_H8a zenon_H2d zenon_H74 zenon_H76 zenon_H97 zenon_H50 zenon_H4f zenon_H4b zenon_H132 zenon_H3a zenon_H156 zenon_H145 zenon_H146 zenon_H147 zenon_H157 zenon_H15a zenon_H19 zenon_H65 zenon_H48 zenon_H67 zenon_Hc5 zenon_H187 zenon_Hf8 zenon_Hfa zenon_Hff. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.74/0.91 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.74/0.91 apply (zenon_L84_); trivial. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Ha. zenon_intro zenon_H189. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H13f. zenon_intro zenon_H18a. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.74/0.91 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.74/0.91 apply (zenon_L51_); trivial. % 0.74/0.91 apply (zenon_L95_); trivial. % 0.74/0.91 apply (zenon_L96_); trivial. % 0.74/0.91 apply (zenon_L68_); trivial. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Ha. zenon_intro zenon_H12a. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H110. zenon_intro zenon_H12b. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.74/0.91 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H6c | zenon_intro zenon_H101 ]. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.74/0.91 apply (zenon_L117_); trivial. % 0.74/0.91 apply (zenon_L96_); trivial. % 0.74/0.91 apply (zenon_L126_); trivial. % 0.74/0.91 apply (zenon_L128_); trivial. % 0.74/0.91 (* end of lemma zenon_L129_ *) % 0.74/0.91 assert (zenon_L130_ : ((ndr1_0)/\((c2_1 (a1989))/\((~(c0_1 (a1989)))/\(~(c3_1 (a1989)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp13)\/(hskp17))) -> ((hskp30)\/((hskp27)\/(hskp6))) -> (~(hskp6)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/((hskp6)\/(hskp18))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((hskp23)\/((hskp5)\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2000)))/\((~(c1_1 (a2000)))/\(~(c3_1 (a2000))))))) -> (~(hskp0)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp12)\/(hskp0))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> False). % 0.74/0.91 do 0 intro. intros zenon_H18e zenon_H12c zenon_H131 zenon_H12d zenon_H178 zenon_H156 zenon_H132 zenon_H186 zenon_H3a zenon_H172 zenon_Hc5 zenon_H127 zenon_H50 zenon_H97 zenon_H76 zenon_H74 zenon_H2d zenon_H8a zenon_H89 zenon_H9f zenon_H9d zenon_H9b zenon_Hb5 zenon_Hb8 zenon_Hbc zenon_Hc0 zenon_Hf8 zenon_Hfa zenon_Hff. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H11c. zenon_intro zenon_H190. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H11a. zenon_intro zenon_H11b. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.74/0.91 apply (zenon_L79_); trivial. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Ha. zenon_intro zenon_H12a. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H110. zenon_intro zenon_H12b. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.74/0.91 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.74/0.91 apply (zenon_L78_); trivial. % 0.74/0.91 apply (zenon_L128_); trivial. % 0.74/0.91 (* end of lemma zenon_L130_ *) % 0.74/0.91 assert (zenon_L131_ : (forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28)))))) -> (ndr1_0) -> (~(c0_1 (a1985))) -> (~(c3_1 (a1985))) -> (c1_1 (a1985)) -> False). % 0.74/0.91 do 0 intro. intros zenon_H1c zenon_Ha zenon_H191 zenon_H192 zenon_H193. % 0.74/0.91 generalize (zenon_H1c (a1985)). zenon_intro zenon_H194. % 0.74/0.91 apply (zenon_imply_s _ _ zenon_H194); [ zenon_intro zenon_H9 | zenon_intro zenon_H195 ]. % 0.74/0.91 exact (zenon_H9 zenon_Ha). % 0.74/0.91 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H197 | zenon_intro zenon_H196 ]. % 0.74/0.91 exact (zenon_H191 zenon_H197). % 0.74/0.91 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H199 | zenon_intro zenon_H198 ]. % 0.74/0.91 exact (zenon_H192 zenon_H199). % 0.74/0.91 exact (zenon_H198 zenon_H193). % 0.74/0.91 (* end of lemma zenon_L131_ *) % 0.74/0.91 assert (zenon_L132_ : ((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12))) -> (c1_1 (a1985)) -> (~(c3_1 (a1985))) -> (~(c0_1 (a1985))) -> (~(hskp12)) -> False). % 0.74/0.91 do 0 intro. intros zenon_Hc1 zenon_H51 zenon_H193 zenon_H192 zenon_H191 zenon_H38. % 0.74/0.91 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2. % 0.74/0.91 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc3. % 0.74/0.91 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H1c | zenon_intro zenon_H57 ]. % 0.74/0.91 apply (zenon_L131_); trivial. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H2e | zenon_intro zenon_H39 ]. % 0.74/0.91 apply (zenon_L76_); trivial. % 0.74/0.91 exact (zenon_H38 zenon_H39). % 0.74/0.91 (* end of lemma zenon_L132_ *) % 0.74/0.91 assert (zenon_L133_ : ((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a1985)) -> (~(c3_1 (a1985))) -> (~(c0_1 (a1985))) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> False). % 0.74/0.91 do 0 intro. intros zenon_Hfc zenon_Hc5 zenon_H51 zenon_H38 zenon_H193 zenon_H192 zenon_H191 zenon_H3a zenon_H172. % 0.74/0.91 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Ha. zenon_intro zenon_Hfd. % 0.74/0.91 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hf0. zenon_intro zenon_Hfe. % 0.74/0.91 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hf1. zenon_intro zenon_Hef. % 0.74/0.91 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.74/0.91 apply (zenon_L127_); trivial. % 0.74/0.91 apply (zenon_L132_); trivial. % 0.74/0.91 (* end of lemma zenon_L133_ *) % 0.74/0.91 assert (zenon_L134_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2000)))/\((~(c1_1 (a2000)))/\(~(c3_1 (a2000))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/((hskp6)\/(hskp18))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp6)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp13)\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> (~(c0_1 (a1985))) -> (~(c3_1 (a1985))) -> (c1_1 (a1985)) -> (~(hskp12)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> False). % 0.74/0.91 do 0 intro. intros zenon_Hff zenon_H3a zenon_H172 zenon_Hc0 zenon_Hbc zenon_Hb8 zenon_Hb5 zenon_H9b zenon_H9d zenon_H9f zenon_H89 zenon_H8a zenon_H2d zenon_H74 zenon_H76 zenon_H97 zenon_H50 zenon_H191 zenon_H192 zenon_H193 zenon_H38 zenon_H51 zenon_Hc5. % 0.74/0.91 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.74/0.91 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.74/0.91 apply (zenon_L51_); trivial. % 0.74/0.91 apply (zenon_L132_); trivial. % 0.74/0.91 apply (zenon_L133_); trivial. % 0.74/0.91 (* end of lemma zenon_L134_ *) % 0.74/0.91 assert (zenon_L135_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((hskp1)\/(hskp10))) -> (~(hskp10)) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12))) -> (c1_1 (a1985)) -> (~(c3_1 (a1985))) -> (~(c0_1 (a1985))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp13)\/(hskp17))) -> ((hskp30)\/((hskp27)\/(hskp6))) -> (~(hskp6)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/((hskp6)\/(hskp18))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((hskp23)\/((hskp5)\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2000)))/\((~(c1_1 (a2000)))/\(~(c3_1 (a2000))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> False). % 0.74/0.91 do 0 intro. intros zenon_H12c zenon_H117 zenon_H6e zenon_Hc5 zenon_H51 zenon_H193 zenon_H192 zenon_H191 zenon_H50 zenon_H97 zenon_H76 zenon_H74 zenon_H2d zenon_H8a zenon_H89 zenon_H9f zenon_H9d zenon_H9b zenon_Hb5 zenon_Hb8 zenon_Hbc zenon_Hc0 zenon_H172 zenon_H3a zenon_Hff. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.74/0.91 apply (zenon_L134_); trivial. % 0.74/0.91 apply (zenon_L80_); trivial. % 0.74/0.91 (* end of lemma zenon_L135_ *) % 0.74/0.91 assert (zenon_L136_ : ((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> (~(c1_1 (a1990))) -> (c3_1 (a1990)) -> (~(c2_1 (a1990))) -> (~(hskp20)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp17)) -> (c1_1 (a1985)) -> (~(c3_1 (a1985))) -> (~(c0_1 (a1985))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (c3_1 (a1987)) -> (c2_1 (a1987)) -> (~(c1_1 (a1987))) -> (~(c2_1 (a1996))) -> (c3_1 (a1996)) -> (c0_1 (a1996)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (~(hskp4)) -> (~(hskp1)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> (~(hskp19)) -> False). % 0.74/0.91 do 0 intro. intros zenon_H8b zenon_H15a zenon_H10e zenon_H110 zenon_H10f zenon_H17 zenon_H161 zenon_H2d zenon_H2b zenon_H193 zenon_H192 zenon_H191 zenon_H156 zenon_H147 zenon_H146 zenon_H145 zenon_H135 zenon_H137 zenon_H13f zenon_H157 zenon_H3a zenon_Hb5 zenon_H132 zenon_H3. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Ha. zenon_intro zenon_H8c. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H78. zenon_intro zenon_H8d. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H59 | zenon_intro zenon_H15b ]. % 0.74/0.91 apply (zenon_L104_); trivial. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1c | zenon_intro zenon_H134 ]. % 0.74/0.91 apply (zenon_L131_); trivial. % 0.74/0.91 apply (zenon_L92_); trivial. % 0.74/0.91 (* end of lemma zenon_L136_ *) % 0.74/0.91 assert (zenon_L137_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> (~(hskp4)) -> (~(hskp1)) -> (c1_1 (a1985)) -> (~(c3_1 (a1985))) -> (~(c0_1 (a1985))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (~(hskp17)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (c3_1 (a1987)) -> (c2_1 (a1987)) -> (~(c1_1 (a1987))) -> (~(c2_1 (a1996))) -> (c3_1 (a1996)) -> (c0_1 (a1996)) -> (~(hskp20)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (~(c1_1 (a1990))) -> (c3_1 (a1990)) -> (~(c2_1 (a1990))) -> (~(hskp19)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(hskp27)) -> (~(hskp6)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> False). % 0.74/0.91 do 0 intro. intros zenon_H89 zenon_H15a zenon_H132 zenon_H3a zenon_Hb5 zenon_H193 zenon_H192 zenon_H191 zenon_H157 zenon_H2b zenon_H2d zenon_H147 zenon_H146 zenon_H145 zenon_H135 zenon_H137 zenon_H13f zenon_H17 zenon_H161 zenon_H10e zenon_H110 zenon_H10f zenon_H3 zenon_H156 zenon_H3c zenon_H74 zenon_H76. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H72 | zenon_intro zenon_H8b ]. % 0.74/0.91 apply (zenon_L32_); trivial. % 0.74/0.91 apply (zenon_L136_); trivial. % 0.74/0.91 (* end of lemma zenon_L137_ *) % 0.74/0.91 assert (zenon_L138_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> (~(hskp11)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> (~(hskp6)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(hskp19)) -> (~(c2_1 (a1990))) -> (c3_1 (a1990)) -> (~(c1_1 (a1990))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (~(hskp20)) -> (c0_1 (a1996)) -> (c3_1 (a1996)) -> (~(c2_1 (a1996))) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp17)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (~(c0_1 (a1985))) -> (~(c3_1 (a1985))) -> (c1_1 (a1985)) -> (~(hskp1)) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> False). % 0.74/0.91 do 0 intro. intros zenon_H50 zenon_H4b zenon_H48 zenon_H76 zenon_H74 zenon_H156 zenon_H3 zenon_H10f zenon_H110 zenon_H10e zenon_H161 zenon_H17 zenon_H13f zenon_H137 zenon_H135 zenon_H145 zenon_H146 zenon_H147 zenon_H2d zenon_H2b zenon_H157 zenon_H191 zenon_H192 zenon_H193 zenon_Hb5 zenon_H3a zenon_H132 zenon_H15a zenon_H89. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H3c | zenon_intro zenon_H4a ]. % 0.74/0.91 apply (zenon_L137_); trivial. % 0.74/0.91 apply (zenon_L19_); trivial. % 0.74/0.91 (* end of lemma zenon_L138_ *) % 0.74/0.91 assert (zenon_L139_ : ((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> (~(c1_1 (a1990))) -> (c3_1 (a1990)) -> (~(c2_1 (a1990))) -> (~(c0_1 (a1998))) -> (c3_1 (a1998)) -> (~(c3_1 (a2003))) -> (c1_1 (a2003)) -> (c2_1 (a2003)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (c3_1 (a1987)) -> (c2_1 (a1987)) -> (~(c1_1 (a1987))) -> (~(c2_1 (a1996))) -> (c3_1 (a1996)) -> (c0_1 (a1996)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (~(hskp4)) -> (~(hskp1)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> (~(hskp19)) -> False). % 0.74/0.91 do 0 intro. intros zenon_H8b zenon_H15a zenon_H10e zenon_H110 zenon_H10f zenon_H58 zenon_H5a zenon_H1d zenon_H1e zenon_H1f zenon_H156 zenon_H147 zenon_H146 zenon_H145 zenon_H135 zenon_H137 zenon_H13f zenon_H157 zenon_H3a zenon_Hb5 zenon_H132 zenon_H3. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Ha. zenon_intro zenon_H8c. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H78. zenon_intro zenon_H8d. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H59 | zenon_intro zenon_H15b ]. % 0.74/0.91 apply (zenon_L111_); trivial. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1c | zenon_intro zenon_H134 ]. % 0.74/0.91 apply (zenon_L86_); trivial. % 0.74/0.91 apply (zenon_L92_); trivial. % 0.74/0.91 (* end of lemma zenon_L139_ *) % 0.74/0.91 assert (zenon_L140_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (c3_1 (a1987)) -> (c2_1 (a1987)) -> (~(c1_1 (a1987))) -> (c0_1 (a1996)) -> (c3_1 (a1996)) -> (~(c2_1 (a1996))) -> (~(c3_1 (a2003))) -> (c1_1 (a2003)) -> (c2_1 (a2003)) -> (~(hskp1)) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> (~(c0_1 (a1998))) -> (c3_1 (a1998)) -> (~(c1_1 (a1990))) -> (c3_1 (a1990)) -> (~(c2_1 (a1990))) -> (~(hskp19)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(hskp27)) -> (~(hskp6)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> False). % 0.74/0.91 do 0 intro. intros zenon_H89 zenon_H15a zenon_H157 zenon_H147 zenon_H146 zenon_H145 zenon_H13f zenon_H137 zenon_H135 zenon_H1d zenon_H1e zenon_H1f zenon_Hb5 zenon_H3a zenon_H132 zenon_H58 zenon_H5a zenon_H10e zenon_H110 zenon_H10f zenon_H3 zenon_H156 zenon_H3c zenon_H74 zenon_H76. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H72 | zenon_intro zenon_H8b ]. % 0.74/0.91 apply (zenon_L32_); trivial. % 0.74/0.91 apply (zenon_L139_); trivial. % 0.74/0.91 (* end of lemma zenon_L140_ *) % 0.74/0.91 assert (zenon_L141_ : ((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> (~(hskp11)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> (~(hskp6)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(hskp19)) -> (~(c2_1 (a1990))) -> (c3_1 (a1990)) -> (~(c1_1 (a1990))) -> (c3_1 (a1998)) -> (~(c0_1 (a1998))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> (~(hskp4)) -> (~(hskp1)) -> (~(c2_1 (a1996))) -> (c3_1 (a1996)) -> (c0_1 (a1996)) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> False). % 0.74/0.91 do 0 intro. intros zenon_H53 zenon_H50 zenon_H4b zenon_H48 zenon_H76 zenon_H74 zenon_H156 zenon_H3 zenon_H10f zenon_H110 zenon_H10e zenon_H5a zenon_H58 zenon_H132 zenon_H3a zenon_Hb5 zenon_H135 zenon_H137 zenon_H13f zenon_H145 zenon_H146 zenon_H147 zenon_H157 zenon_H15a zenon_H89. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_Ha. zenon_intro zenon_H54. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H1e. zenon_intro zenon_H55. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H1f. zenon_intro zenon_H1d. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H3c | zenon_intro zenon_H4a ]. % 0.74/0.91 apply (zenon_L140_); trivial. % 0.74/0.91 apply (zenon_L19_); trivial. % 0.74/0.91 (* end of lemma zenon_L141_ *) % 0.74/0.91 assert (zenon_L142_ : ((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (c3_1 (a1987)) -> (c2_1 (a1987)) -> (~(c1_1 (a1987))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> (~(hskp4)) -> (~(hskp1)) -> (c1_1 (a1985)) -> (~(c3_1 (a1985))) -> (~(c0_1 (a1985))) -> (~(c1_1 (a1990))) -> (c3_1 (a1990)) -> (~(c2_1 (a1990))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (c0_1 (a1996)) -> (c3_1 (a1996)) -> (~(c2_1 (a1996))) -> (~(hskp5)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> (~(hskp6)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> (~(hskp11)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> False). % 0.74/0.91 do 0 intro. intros zenon_Hc1 zenon_H131 zenon_Hbc zenon_H12d zenon_H9d zenon_H9f zenon_H89 zenon_H15a zenon_H157 zenon_H147 zenon_H146 zenon_H145 zenon_H132 zenon_H3a zenon_Hb5 zenon_H193 zenon_H192 zenon_H191 zenon_H10e zenon_H110 zenon_H10f zenon_H156 zenon_H161 zenon_H13f zenon_H137 zenon_H135 zenon_H9b zenon_H18b zenon_H74 zenon_H76 zenon_H48 zenon_H4b zenon_H50 zenon_H4f. % 0.74/0.91 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2. % 0.74/0.91 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc3. % 0.74/0.91 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H3 | zenon_intro zenon_H12e ]. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H17 | zenon_intro zenon_H53 ]. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H72 | zenon_intro zenon_H8b ]. % 0.74/0.91 apply (zenon_L118_); trivial. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Ha. zenon_intro zenon_H8c. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H78. zenon_intro zenon_H8d. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H59 | zenon_intro zenon_H15b ]. % 0.74/0.91 apply (zenon_L111_); trivial. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1c | zenon_intro zenon_H134 ]. % 0.74/0.91 apply (zenon_L131_); trivial. % 0.74/0.91 apply (zenon_L92_); trivial. % 0.74/0.91 apply (zenon_L141_); trivial. % 0.74/0.91 apply (zenon_L83_); trivial. % 0.74/0.91 (* end of lemma zenon_L142_ *) % 0.74/0.91 assert (zenon_L143_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((hskp4)\/(hskp27))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> (~(hskp11)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> (~(hskp6)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(c2_1 (a1990))) -> (c3_1 (a1990)) -> (~(c1_1 (a1990))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (~(c0_1 (a1985))) -> (~(c3_1 (a1985))) -> (c1_1 (a1985)) -> (~(hskp1)) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> (~(hskp14)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> False). % 0.74/0.91 do 0 intro. intros zenon_H18d zenon_H52 zenon_H131 zenon_Hbc zenon_H12d zenon_H9b zenon_H9d zenon_H9f zenon_H7 zenon_H50 zenon_H4b zenon_H48 zenon_H76 zenon_H74 zenon_H156 zenon_H10f zenon_H110 zenon_H10e zenon_H161 zenon_H145 zenon_H146 zenon_H147 zenon_H2d zenon_H157 zenon_H191 zenon_H192 zenon_H193 zenon_Hb5 zenon_H3a zenon_H132 zenon_H15a zenon_H89 zenon_H172 zenon_H6c zenon_H174 zenon_H4f zenon_H18b zenon_Hc5 zenon_H187. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.74/0.91 apply (zenon_L84_); trivial. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Ha. zenon_intro zenon_H189. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H13f. zenon_intro zenon_H18a. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.74/0.91 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H3 | zenon_intro zenon_H12e ]. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H17 | zenon_intro zenon_H53 ]. % 0.74/0.91 apply (zenon_L138_); trivial. % 0.74/0.91 apply (zenon_L110_); trivial. % 0.74/0.91 apply (zenon_L83_); trivial. % 0.74/0.91 apply (zenon_L142_); trivial. % 0.74/0.91 apply (zenon_L96_); trivial. % 0.74/0.91 (* end of lemma zenon_L143_ *) % 0.74/0.91 assert (zenon_L144_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> (c1_1 (a1992)) -> (~(c2_1 (a1992))) -> (~(c0_1 (a1992))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(c2_1 (a1990))) -> (c3_1 (a1990)) -> (~(c1_1 (a1990))) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (~(c0_1 (a1985))) -> (~(c3_1 (a1985))) -> (c1_1 (a1985)) -> (~(hskp1)) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> (~(hskp15)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> False). % 0.74/0.91 do 0 intro. intros zenon_H187 zenon_Hc5 zenon_H178 zenon_H186 zenon_H4f zenon_Hea zenon_He7 zenon_H172 zenon_Hc9 zenon_Hc8 zenon_Hc7 zenon_H18b zenon_H161 zenon_H156 zenon_H10f zenon_H110 zenon_H10e zenon_H145 zenon_H146 zenon_H147 zenon_H2d zenon_H157 zenon_H191 zenon_H192 zenon_H193 zenon_Hb5 zenon_H3a zenon_H132 zenon_H15a zenon_H89 zenon_H7 zenon_H5 zenon_H9f zenon_H9d zenon_H9b zenon_H12d zenon_Hbc zenon_H131. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.74/0.91 apply (zenon_L84_); trivial. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Ha. zenon_intro zenon_H189. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H13f. zenon_intro zenon_H18a. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.74/0.91 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H3 | zenon_intro zenon_H12e ]. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H17 | zenon_intro zenon_H53 ]. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H72 | zenon_intro zenon_H8b ]. % 0.74/0.91 apply (zenon_L118_); trivial. % 0.74/0.91 apply (zenon_L136_); trivial. % 0.74/0.91 apply (zenon_L121_); trivial. % 0.74/0.91 apply (zenon_L83_); trivial. % 0.74/0.91 apply (zenon_L116_); trivial. % 0.74/0.91 (* end of lemma zenon_L144_ *) % 0.74/0.91 assert (zenon_L145_ : (forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17)))))) -> (ndr1_0) -> (~(c0_1 (a1983))) -> (~(c1_1 (a1983))) -> (c3_1 (a1983)) -> False). % 0.74/0.91 do 0 intro. intros zenon_H19a zenon_Ha zenon_H19b zenon_H19c zenon_H19d. % 0.74/0.91 generalize (zenon_H19a (a1983)). zenon_intro zenon_H19e. % 0.74/0.91 apply (zenon_imply_s _ _ zenon_H19e); [ zenon_intro zenon_H9 | zenon_intro zenon_H19f ]. % 0.74/0.91 exact (zenon_H9 zenon_Ha). % 0.74/0.91 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H1a0 ]. % 0.74/0.91 exact (zenon_H19b zenon_H1a1). % 0.74/0.91 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1a2 ]. % 0.74/0.91 exact (zenon_H19c zenon_H1a3). % 0.74/0.91 exact (zenon_H1a2 zenon_H19d). % 0.74/0.91 (* end of lemma zenon_L145_ *) % 0.74/0.91 assert (zenon_L146_ : ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((hskp29)\/(hskp6))) -> (c3_1 (a1983)) -> (~(c1_1 (a1983))) -> (~(c0_1 (a1983))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp6)) -> False). % 0.74/0.91 do 0 intro. intros zenon_H1a4 zenon_H19d zenon_H19c zenon_H19b zenon_Ha zenon_H176 zenon_H74. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H19a | zenon_intro zenon_H1a5 ]. % 0.74/0.91 apply (zenon_L145_); trivial. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H177 | zenon_intro zenon_H75 ]. % 0.74/0.91 exact (zenon_H176 zenon_H177). % 0.74/0.91 exact (zenon_H74 zenon_H75). % 0.74/0.91 (* end of lemma zenon_L146_ *) % 0.74/0.91 assert (zenon_L147_ : ((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp17)) -> False). % 0.74/0.91 do 0 intro. intros zenon_H183 zenon_H2d zenon_H2b. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_Ha. zenon_intro zenon_H184. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H17a. zenon_intro zenon_H185. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17b. zenon_intro zenon_H17c. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H1b | zenon_intro zenon_H2c ]. % 0.74/0.91 apply (zenon_L114_); trivial. % 0.74/0.91 exact (zenon_H2b zenon_H2c). % 0.74/0.91 (* end of lemma zenon_L147_ *) % 0.74/0.91 assert (zenon_L148_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp17)) -> (ndr1_0) -> (~(c0_1 (a1983))) -> (~(c1_1 (a1983))) -> (c3_1 (a1983)) -> (~(hskp6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((hskp29)\/(hskp6))) -> False). % 0.74/0.91 do 0 intro. intros zenon_H186 zenon_H2d zenon_H2b zenon_Ha zenon_H19b zenon_H19c zenon_H19d zenon_H74 zenon_H1a4. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H176 | zenon_intro zenon_H183 ]. % 0.74/0.91 apply (zenon_L146_); trivial. % 0.74/0.91 apply (zenon_L147_); trivial. % 0.74/0.91 (* end of lemma zenon_L148_ *) % 0.74/0.91 assert (zenon_L149_ : ((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> (c3_1 (a1983)) -> (~(c1_1 (a1983))) -> (~(c0_1 (a1983))) -> (~(hskp13)) -> (~(c0_1 (a1998))) -> (c1_1 (a1998)) -> (c3_1 (a1998)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp5)) -> False). % 0.74/0.91 do 0 intro. intros zenon_H53 zenon_H1a6 zenon_H19d zenon_H19c zenon_H19b zenon_H15 zenon_H58 zenon_Hc4 zenon_H5a zenon_H127 zenon_H9b. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_Ha. zenon_intro zenon_H54. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H1e. zenon_intro zenon_H55. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H1f. zenon_intro zenon_H1d. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H19a | zenon_intro zenon_H1a7 ]. % 0.74/0.91 apply (zenon_L145_); trivial. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H9c ]. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H119 | zenon_intro zenon_H128 ]. % 0.74/0.91 apply (zenon_L107_); trivial. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2e | zenon_intro zenon_H16 ]. % 0.74/0.91 apply (zenon_L76_); trivial. % 0.74/0.91 exact (zenon_H15 zenon_H16). % 0.74/0.91 exact (zenon_H9b zenon_H9c). % 0.74/0.91 (* end of lemma zenon_L149_ *) % 0.74/0.91 assert (zenon_L150_ : ((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> (c3_1 (a1983)) -> (~(c1_1 (a1983))) -> (~(c0_1 (a1983))) -> (~(hskp5)) -> False). % 0.74/0.91 do 0 intro. intros zenon_Hfc zenon_H1a6 zenon_H19d zenon_H19c zenon_H19b zenon_H9b. % 0.74/0.91 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Ha. zenon_intro zenon_Hfd. % 0.74/0.91 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hf0. zenon_intro zenon_Hfe. % 0.74/0.91 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hf1. zenon_intro zenon_Hef. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H19a | zenon_intro zenon_H1a7 ]. % 0.74/0.91 apply (zenon_L145_); trivial. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H9c ]. % 0.74/0.91 apply (zenon_L65_); trivial. % 0.74/0.91 exact (zenon_H9b zenon_H9c). % 0.74/0.91 (* end of lemma zenon_L150_ *) % 0.74/0.91 assert (zenon_L151_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp13)) -> (c2_1 (a1989)) -> (~(c3_1 (a1989))) -> (~(c0_1 (a1989))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((hskp29)\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a1983)) -> (~(c1_1 (a1983))) -> (~(c0_1 (a1983))) -> (ndr1_0) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> False). % 0.74/0.91 do 0 intro. intros zenon_Hc5 zenon_H127 zenon_H15 zenon_H11c zenon_H11b zenon_H11a zenon_H1a4 zenon_H74 zenon_H19d zenon_H19c zenon_H19b zenon_Ha zenon_H2d zenon_H186. % 0.74/0.91 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.74/0.91 apply (zenon_L148_); trivial. % 0.74/0.91 apply (zenon_L77_); trivial. % 0.74/0.91 (* end of lemma zenon_L151_ *) % 0.74/0.91 assert (zenon_L152_ : ((ndr1_0)/\((c2_1 (a1989))/\((~(c0_1 (a1989)))/\(~(c3_1 (a1989)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(c0_1 (a1983))) -> (~(c1_1 (a1983))) -> (c3_1 (a1983)) -> (~(hskp6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((hskp29)\/(hskp6))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> False). % 0.74/0.91 do 0 intro. intros zenon_H18e zenon_Hff zenon_H1a6 zenon_H9b zenon_H186 zenon_H2d zenon_H19b zenon_H19c zenon_H19d zenon_H74 zenon_H1a4 zenon_H127 zenon_Hc5. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H11c. zenon_intro zenon_H190. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H11a. zenon_intro zenon_H11b. % 0.74/0.91 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.74/0.91 apply (zenon_L151_); trivial. % 0.74/0.91 apply (zenon_L150_); trivial. % 0.74/0.91 (* end of lemma zenon_L152_ *) % 0.74/0.91 assert (zenon_L153_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a1989))/\((~(c0_1 (a1989)))/\(~(c3_1 (a1989))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((hskp13)\/(hskp20))) -> (~(hskp9)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp9)\/(hskp11))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((hskp29)\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a1983)) -> (~(c1_1 (a1983))) -> (~(c0_1 (a1983))) -> (ndr1_0) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> False). % 0.74/0.91 do 0 intro. intros zenon_H1a8 zenon_Hc5 zenon_H4f zenon_H1a6 zenon_H9b zenon_H127 zenon_H19 zenon_H65 zenon_H67 zenon_H1a4 zenon_H74 zenon_H19d zenon_H19c zenon_H19b zenon_Ha zenon_H2d zenon_H186 zenon_Hff. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.74/0.91 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.74/0.91 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.74/0.91 apply (zenon_L148_); trivial. % 0.74/0.91 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2. % 0.74/0.91 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc3. % 0.74/0.91 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H17 | zenon_intro zenon_H53 ]. % 0.74/0.91 apply (zenon_L24_); trivial. % 0.74/0.91 apply (zenon_L149_); trivial. % 0.74/0.91 apply (zenon_L150_); trivial. % 0.74/0.91 apply (zenon_L152_); trivial. % 0.74/0.91 (* end of lemma zenon_L153_ *) % 0.74/0.91 assert (zenon_L154_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a1985)) -> (~(c3_1 (a1985))) -> (~(c0_1 (a1985))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((hskp29)\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a1983)) -> (~(c1_1 (a1983))) -> (~(c0_1 (a1983))) -> (ndr1_0) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> False). % 0.74/0.91 do 0 intro. intros zenon_Hc5 zenon_H51 zenon_H38 zenon_H193 zenon_H192 zenon_H191 zenon_H1a4 zenon_H74 zenon_H19d zenon_H19c zenon_H19b zenon_Ha zenon_H2d zenon_H186. % 0.74/0.91 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.74/0.91 apply (zenon_L148_); trivial. % 0.74/0.91 apply (zenon_L132_); trivial. % 0.74/0.91 (* end of lemma zenon_L154_ *) % 0.74/0.91 assert (zenon_L155_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((hskp1)\/(hskp10))) -> (~(hskp10)) -> (~(hskp1)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (ndr1_0) -> (~(c0_1 (a1983))) -> (~(c1_1 (a1983))) -> (c3_1 (a1983)) -> (~(hskp6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((hskp29)\/(hskp6))) -> (~(c0_1 (a1985))) -> (~(c3_1 (a1985))) -> (c1_1 (a1985)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> False). % 0.74/0.91 do 0 intro. intros zenon_H12c zenon_H117 zenon_H6e zenon_Hb5 zenon_H186 zenon_H2d zenon_Ha zenon_H19b zenon_H19c zenon_H19d zenon_H74 zenon_H1a4 zenon_H191 zenon_H192 zenon_H193 zenon_H51 zenon_Hc5. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.74/0.91 apply (zenon_L154_); trivial. % 0.74/0.91 apply (zenon_L80_); trivial. % 0.74/0.91 (* end of lemma zenon_L155_ *) % 0.74/0.91 assert (zenon_L156_ : (forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))) -> (ndr1_0) -> (forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))) -> (c1_1 (a1978)) -> (c2_1 (a1978)) -> (c0_1 (a1978)) -> False). % 0.74/0.91 do 0 intro. intros zenon_Hd4 zenon_Ha zenon_H3e zenon_H17b zenon_H17c zenon_H17a. % 0.74/0.91 generalize (zenon_Hd4 (a1978)). zenon_intro zenon_H1a9. % 0.74/0.91 apply (zenon_imply_s _ _ zenon_H1a9); [ zenon_intro zenon_H9 | zenon_intro zenon_H1aa ]. % 0.74/0.91 exact (zenon_H9 zenon_Ha). % 0.74/0.91 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1ab ]. % 0.74/0.91 generalize (zenon_H3e (a1978)). zenon_intro zenon_H1ad. % 0.74/0.91 apply (zenon_imply_s _ _ zenon_H1ad); [ zenon_intro zenon_H9 | zenon_intro zenon_H1ae ]. % 0.74/0.91 exact (zenon_H9 zenon_Ha). % 0.74/0.91 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H182 | zenon_intro zenon_H1af ]. % 0.74/0.91 exact (zenon_H182 zenon_H17b). % 0.74/0.91 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H181 | zenon_intro zenon_H1b0 ]. % 0.74/0.91 exact (zenon_H181 zenon_H17c). % 0.74/0.91 exact (zenon_H1b0 zenon_H1ac). % 0.74/0.91 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H180 | zenon_intro zenon_H181 ]. % 0.74/0.91 exact (zenon_H180 zenon_H17a). % 0.74/0.91 exact (zenon_H181 zenon_H17c). % 0.74/0.91 (* end of lemma zenon_L156_ *) % 0.74/0.91 assert (zenon_L157_ : ((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> (c3_1 (a1983)) -> (~(c1_1 (a1983))) -> (~(c0_1 (a1983))) -> (~(hskp27)) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp27))) -> (~(hskp5)) -> False). % 0.74/0.91 do 0 intro. intros zenon_H183 zenon_H1a6 zenon_H19d zenon_H19c zenon_H19b zenon_H3c zenon_H145 zenon_H146 zenon_H147 zenon_H1b1 zenon_H9b. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_Ha. zenon_intro zenon_H184. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H17a. zenon_intro zenon_H185. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17b. zenon_intro zenon_H17c. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H19a | zenon_intro zenon_H1a7 ]. % 0.74/0.91 apply (zenon_L145_); trivial. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H9c ]. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H153 | zenon_intro zenon_H1b2 ]. % 0.74/0.91 apply (zenon_L90_); trivial. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H3e | zenon_intro zenon_H3d ]. % 0.74/0.91 apply (zenon_L156_); trivial. % 0.74/0.91 exact (zenon_H3c zenon_H3d). % 0.74/0.91 exact (zenon_H9b zenon_H9c). % 0.74/0.91 (* end of lemma zenon_L157_ *) % 0.74/0.91 assert (zenon_L158_ : ((ndr1_0)/\((c2_1 (a1987))/\((c3_1 (a1987))/\(~(c1_1 (a1987)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a1989))/\((~(c0_1 (a1989)))/\(~(c3_1 (a1989))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c0_1 (a1983))) -> (~(c1_1 (a1983))) -> (c3_1 (a1983)) -> (~(hskp6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((hskp29)\/(hskp6))) -> (~(hskp4)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> False). % 0.74/0.91 do 0 intro. intros zenon_H1b3 zenon_H1a8 zenon_Hff zenon_H2d zenon_H127 zenon_Hc5 zenon_H186 zenon_H1a6 zenon_H9b zenon_H1b1 zenon_H19b zenon_H19c zenon_H19d zenon_H74 zenon_H1a4 zenon_H3a zenon_H4b zenon_H50. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_Ha. zenon_intro zenon_H1b4. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H146. zenon_intro zenon_H1b5. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H147. zenon_intro zenon_H145. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H3c | zenon_intro zenon_H4a ]. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H176 | zenon_intro zenon_H183 ]. % 0.74/0.91 apply (zenon_L146_); trivial. % 0.74/0.91 apply (zenon_L157_); trivial. % 0.74/0.91 apply (zenon_L19_); trivial. % 0.74/0.91 apply (zenon_L152_); trivial. % 0.74/0.91 (* end of lemma zenon_L158_ *) % 0.74/0.91 assert (zenon_L159_ : ((~(hskp9))\/((ndr1_0)/\((c1_1 (a1985))/\((~(c0_1 (a1985)))/\(~(c3_1 (a1985))))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a1987))/\((c3_1 (a1987))/\(~(c1_1 (a1987))))))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp27))) -> (~(hskp4)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12))) -> (~(hskp1)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((hskp1)\/(hskp10))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (ndr1_0) -> (~(c0_1 (a1983))) -> (~(c1_1 (a1983))) -> (c3_1 (a1983)) -> (~(hskp6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((hskp29)\/(hskp6))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp9)\/(hskp11))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((hskp13)\/(hskp20))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a1989))/\((~(c0_1 (a1989)))/\(~(c3_1 (a1989))))))) -> False). % 0.74/0.91 do 0 intro. intros zenon_H1b6 zenon_H1b7 zenon_H1b1 zenon_H3a zenon_H4b zenon_H50 zenon_H51 zenon_Hb5 zenon_H117 zenon_H12c zenon_Hff zenon_H186 zenon_H2d zenon_Ha zenon_H19b zenon_H19c zenon_H19d zenon_H74 zenon_H1a4 zenon_H67 zenon_H19 zenon_H127 zenon_H9b zenon_H1a6 zenon_H4f zenon_Hc5 zenon_H1a8. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H65 | zenon_intro zenon_H1b8 ]. % 0.74/0.91 apply (zenon_L153_); trivial. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha. zenon_intro zenon_H1b9. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H193. zenon_intro zenon_H1ba. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H191. zenon_intro zenon_H192. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H6e | zenon_intro zenon_H1b3 ]. % 0.74/0.91 apply (zenon_L155_); trivial. % 0.74/0.91 apply (zenon_L158_); trivial. % 0.74/0.91 (* end of lemma zenon_L159_ *) % 0.74/0.91 assert (zenon_L160_ : (forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (ndr1_0) -> (c0_1 (a1981)) -> (c1_1 (a1981)) -> (c2_1 (a1981)) -> False). % 0.74/0.91 do 0 intro. intros zenon_H1b zenon_Ha zenon_H1bb zenon_H1bc zenon_H1bd. % 0.74/0.91 generalize (zenon_H1b (a1981)). zenon_intro zenon_H1be. % 0.74/0.91 apply (zenon_imply_s _ _ zenon_H1be); [ zenon_intro zenon_H9 | zenon_intro zenon_H1bf ]. % 0.74/0.91 exact (zenon_H9 zenon_Ha). % 0.74/0.91 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1c0 ]. % 0.74/0.91 exact (zenon_H1c1 zenon_H1bb). % 0.74/0.91 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1c2 ]. % 0.74/0.91 exact (zenon_H1c3 zenon_H1bc). % 0.74/0.91 exact (zenon_H1c2 zenon_H1bd). % 0.74/0.91 (* end of lemma zenon_L160_ *) % 0.74/0.91 assert (zenon_L161_ : (forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9)))))) -> (ndr1_0) -> (forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (c0_1 (a1981)) -> (c1_1 (a1981)) -> False). % 0.74/0.91 do 0 intro. intros zenon_Hab zenon_Ha zenon_H1b zenon_H1bb zenon_H1bc. % 0.74/0.91 generalize (zenon_Hab (a1981)). zenon_intro zenon_H1c4. % 0.74/0.91 apply (zenon_imply_s _ _ zenon_H1c4); [ zenon_intro zenon_H9 | zenon_intro zenon_H1c5 ]. % 0.74/0.91 exact (zenon_H9 zenon_Ha). % 0.74/0.91 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1bd | zenon_intro zenon_H1c6 ]. % 0.74/0.91 apply (zenon_L160_); trivial. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1c3 ]. % 0.74/0.91 exact (zenon_H1c1 zenon_H1bb). % 0.74/0.91 exact (zenon_H1c3 zenon_H1bc). % 0.74/0.91 (* end of lemma zenon_L161_ *) % 0.74/0.91 assert (zenon_L162_ : ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp17)) -> (c1_1 (a1981)) -> (c0_1 (a1981)) -> (ndr1_0) -> (forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9)))))) -> False). % 0.74/0.91 do 0 intro. intros zenon_H2d zenon_H2b zenon_H1bc zenon_H1bb zenon_Ha zenon_Hab. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H1b | zenon_intro zenon_H2c ]. % 0.74/0.91 apply (zenon_L161_); trivial. % 0.74/0.91 exact (zenon_H2b zenon_H2c). % 0.74/0.91 (* end of lemma zenon_L162_ *) % 0.74/0.91 assert (zenon_L163_ : ((ndr1_0)/\((~(c0_1 (a2000)))/\((~(c1_1 (a2000)))/\(~(c3_1 (a2000)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp1))) -> (c0_1 (a1981)) -> (c1_1 (a1981)) -> (~(hskp17)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp1)) -> False). % 0.74/0.91 do 0 intro. intros zenon_Hbd zenon_Hb8 zenon_H1bb zenon_H1bc zenon_H2b zenon_H2d zenon_Hb5. % 0.74/0.91 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha. zenon_intro zenon_Hbe. % 0.74/0.91 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Ha2. zenon_intro zenon_Hbf. % 0.74/0.91 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha4. % 0.74/0.91 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Hbb ]. % 0.74/0.91 apply (zenon_L45_); trivial. % 0.74/0.91 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Hab | zenon_intro zenon_Hb6 ]. % 0.74/0.91 apply (zenon_L162_); trivial. % 0.74/0.91 exact (zenon_Hb5 zenon_Hb6). % 0.74/0.91 (* end of lemma zenon_L163_ *) % 0.74/0.91 assert (zenon_L164_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2000)))/\((~(c1_1 (a2000)))/\(~(c3_1 (a2000))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a1981)) -> (c1_1 (a1981)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/((hskp6)\/(hskp18))) -> (~(hskp17)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp6)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp13)\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> False). % 0.74/0.91 do 0 intro. intros zenon_Hc0 zenon_Hb8 zenon_Hb5 zenon_H1bb zenon_H1bc zenon_H89 zenon_H8a zenon_H2b zenon_H2d zenon_H74 zenon_H76 zenon_H15 zenon_H97 zenon_H50. % 0.74/0.91 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H87 | zenon_intro zenon_Hbd ]. % 0.74/0.91 apply (zenon_L40_); trivial. % 0.74/0.91 apply (zenon_L163_); trivial. % 0.74/0.91 (* end of lemma zenon_L164_ *) % 0.74/0.91 assert (zenon_L165_ : (forall X62 : zenon_U, ((ndr1_0)->((c3_1 X62)\/((~(c0_1 X62))\/(~(c1_1 X62)))))) -> (ndr1_0) -> (~(c3_1 (a1981))) -> (c0_1 (a1981)) -> (c1_1 (a1981)) -> False). % 0.74/0.91 do 0 intro. intros zenon_H1c7 zenon_Ha zenon_H1c8 zenon_H1bb zenon_H1bc. % 0.74/0.91 generalize (zenon_H1c7 (a1981)). zenon_intro zenon_H1c9. % 0.74/0.91 apply (zenon_imply_s _ _ zenon_H1c9); [ zenon_intro zenon_H9 | zenon_intro zenon_H1ca ]. % 0.74/0.91 exact (zenon_H9 zenon_Ha). % 0.74/0.91 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1cb | zenon_intro zenon_H1c6 ]. % 0.74/0.91 exact (zenon_H1c8 zenon_H1cb). % 0.74/0.91 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1c3 ]. % 0.74/0.91 exact (zenon_H1c1 zenon_H1bb). % 0.74/0.91 exact (zenon_H1c3 zenon_H1bc). % 0.74/0.91 (* end of lemma zenon_L165_ *) % 0.74/0.91 assert (zenon_L166_ : ((ndr1_0)/\((c0_1 (a1972))/\((c1_1 (a1972))/\(c3_1 (a1972))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c3_1 X62)\/((~(c0_1 X62))\/(~(c1_1 X62))))))\/(hskp10))) -> (~(c3_1 (a2003))) -> (c1_1 (a2003)) -> (c2_1 (a2003)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp10))) -> (c1_1 (a1981)) -> (c0_1 (a1981)) -> (~(c3_1 (a1981))) -> (~(hskp10)) -> False). % 0.74/0.91 do 0 intro. intros zenon_He9 zenon_H1cc zenon_H1d zenon_H1e zenon_H1f zenon_He5 zenon_H1bc zenon_H1bb zenon_H1c8 zenon_H6e. % 0.74/0.91 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.74/0.91 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_Hdc. zenon_intro zenon_Hec. % 0.74/0.91 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H1cd ]. % 0.74/0.91 apply (zenon_L59_); trivial. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H6f ]. % 0.74/0.91 apply (zenon_L165_); trivial. % 0.74/0.91 exact (zenon_H6e zenon_H6f). % 0.74/0.91 (* end of lemma zenon_L166_ *) % 0.74/0.91 assert (zenon_L167_ : ((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1972))/\((c1_1 (a1972))/\(c3_1 (a1972)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c3_1 X62)\/((~(c0_1 X62))\/(~(c1_1 X62))))))\/(hskp10))) -> (c1_1 (a1981)) -> (c0_1 (a1981)) -> (~(c3_1 (a1981))) -> (~(hskp10)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp10))) -> (~(c0_1 (a1992))) -> (~(c2_1 (a1992))) -> (c1_1 (a1992)) -> (~(hskp8)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((hskp28)\/(hskp8))) -> False). % 0.74/0.91 do 0 intro. intros zenon_H53 zenon_Hee zenon_H1cc zenon_H1bc zenon_H1bb zenon_H1c8 zenon_H6e zenon_He5 zenon_Hc7 zenon_Hc8 zenon_Hc9 zenon_H9d zenon_Hd2. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_Ha. zenon_intro zenon_H54. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H1e. zenon_intro zenon_H55. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H1f. zenon_intro zenon_H1d. % 0.74/0.91 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_Hd0 | zenon_intro zenon_He9 ]. % 0.74/0.91 apply (zenon_L56_); trivial. % 0.74/0.91 apply (zenon_L166_); trivial. % 0.74/0.91 (* end of lemma zenon_L167_ *) % 0.74/0.91 assert (zenon_L168_ : ((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1972))/\((c1_1 (a1972))/\(c3_1 (a1972)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c3_1 X62)\/((~(c0_1 X62))\/(~(c1_1 X62))))))\/(hskp10))) -> (c1_1 (a1981)) -> (c0_1 (a1981)) -> (~(c3_1 (a1981))) -> (~(hskp10)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp10))) -> (~(c0_1 (a1992))) -> (~(c2_1 (a1992))) -> (c1_1 (a1992)) -> (~(hskp8)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((hskp28)\/(hskp8))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((hskp13)\/(hskp20))) -> (~(hskp13)) -> (~(hskp9)) -> (~(hskp11)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp9)\/(hskp11))) -> False). % 0.74/0.91 do 0 intro. intros zenon_Hc1 zenon_H4f zenon_Hee zenon_H1cc zenon_H1bc zenon_H1bb zenon_H1c8 zenon_H6e zenon_He5 zenon_Hc7 zenon_Hc8 zenon_Hc9 zenon_H9d zenon_Hd2 zenon_H19 zenon_H15 zenon_H65 zenon_H48 zenon_H67. % 0.74/0.91 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2. % 0.74/0.91 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc3. % 0.74/0.91 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H17 | zenon_intro zenon_H53 ]. % 0.74/0.91 apply (zenon_L24_); trivial. % 0.74/0.91 apply (zenon_L167_); trivial. % 0.74/0.91 (* end of lemma zenon_L168_ *) % 0.74/0.91 assert (zenon_L169_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp12)\/(hskp0))) -> (~(hskp0)) -> (~(hskp12)) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2000)))/\((~(c1_1 (a2000)))/\(~(c3_1 (a2000))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a1981)) -> (c1_1 (a1981)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/((hskp6)\/(hskp18))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp6)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp13)\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> (~(c0_1 (a1989))) -> (~(c3_1 (a1989))) -> (c2_1 (a1989)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> False). % 0.74/0.91 do 0 intro. intros zenon_Hff zenon_Hfa zenon_Hf8 zenon_H38 zenon_Hc0 zenon_Hb8 zenon_Hb5 zenon_H1bb zenon_H1bc zenon_H89 zenon_H8a zenon_H2d zenon_H74 zenon_H76 zenon_H97 zenon_H50 zenon_H11a zenon_H11b zenon_H11c zenon_H127 zenon_Hc5. % 0.74/0.91 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.74/0.91 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.74/0.91 apply (zenon_L164_); trivial. % 0.74/0.91 apply (zenon_L77_); trivial. % 0.74/0.91 apply (zenon_L68_); trivial. % 0.74/0.91 (* end of lemma zenon_L169_ *) % 0.74/0.91 assert (zenon_L170_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a1989))/\((~(c0_1 (a1989)))/\(~(c3_1 (a1989))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp12)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((hskp14)\/(hskp10))) -> (~(hskp10)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((hskp13)\/(hskp20))) -> (~(hskp9)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp9)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp13)\/(hskp17))) -> ((hskp30)\/((hskp27)\/(hskp6))) -> (~(hskp6)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/((hskp6)\/(hskp18))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((hskp23)\/((hskp5)\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2000)))/\((~(c1_1 (a2000)))/\(~(c3_1 (a2000))))))) -> (c0_1 (a1981)) -> (c1_1 (a1981)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((hskp28)\/(hskp8))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp10))) -> (~(c3_1 (a1981))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c3_1 X62)\/((~(c0_1 X62))\/(~(c1_1 X62))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1972))/\((c1_1 (a1972))/\(c3_1 (a1972)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a1992))/\((~(c0_1 (a1992)))/\(~(c2_1 (a1992))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((hskp1)\/(hskp10))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> False). % 0.74/0.91 do 0 intro. intros zenon_H1a8 zenon_H127 zenon_Hff zenon_Hfa zenon_Hf8 zenon_Hc5 zenon_H4f zenon_H70 zenon_H6e zenon_H19 zenon_H65 zenon_H67 zenon_H50 zenon_H97 zenon_H76 zenon_H74 zenon_H2d zenon_H8a zenon_H89 zenon_H9f zenon_H9d zenon_H9b zenon_Hb5 zenon_Hb8 zenon_Hbc zenon_Hc0 zenon_H1bb zenon_H1bc zenon_Hd2 zenon_He5 zenon_H1c8 zenon_H1cc zenon_Hee zenon_H100 zenon_H117 zenon_H12c. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.74/0.91 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H6c | zenon_intro zenon_H101 ]. % 0.74/0.91 apply (zenon_L53_); trivial. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Ha. zenon_intro zenon_H102. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc9. zenon_intro zenon_H103. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hc7. zenon_intro zenon_Hc8. % 0.74/0.91 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.74/0.91 apply (zenon_L164_); trivial. % 0.74/0.91 apply (zenon_L168_); trivial. % 0.74/0.91 apply (zenon_L68_); trivial. % 0.74/0.91 apply (zenon_L80_); trivial. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H11c. zenon_intro zenon_H190. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H11a. zenon_intro zenon_H11b. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.74/0.91 apply (zenon_L169_); trivial. % 0.74/0.91 apply (zenon_L80_); trivial. % 0.74/0.91 (* end of lemma zenon_L170_ *) % 0.74/0.91 assert (zenon_L171_ : (forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39)))))) -> (ndr1_0) -> (forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (c0_1 (a1981)) -> (c1_1 (a1981)) -> (~(c3_1 (a1981))) -> False). % 0.74/0.91 do 0 intro. intros zenon_H1ce zenon_Ha zenon_H1b zenon_H1bb zenon_H1bc zenon_H1c8. % 0.74/0.91 generalize (zenon_H1ce (a1981)). zenon_intro zenon_H1cf. % 0.74/0.91 apply (zenon_imply_s _ _ zenon_H1cf); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d0 ]. % 0.74/0.91 exact (zenon_H9 zenon_Ha). % 0.74/0.91 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H1bd | zenon_intro zenon_H1d1 ]. % 0.74/0.91 apply (zenon_L160_); trivial. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H1cb | zenon_intro zenon_H1c3 ]. % 0.74/0.91 exact (zenon_H1c8 zenon_H1cb). % 0.74/0.91 exact (zenon_H1c3 zenon_H1bc). % 0.74/0.91 (* end of lemma zenon_L171_ *) % 0.74/0.91 assert (zenon_L172_ : (~(hskp21)) -> (hskp21) -> False). % 0.74/0.91 do 0 intro. intros zenon_H1d2 zenon_H1d3. % 0.74/0.91 exact (zenon_H1d2 zenon_H1d3). % 0.74/0.91 (* end of lemma zenon_L172_ *) % 0.74/0.91 assert (zenon_L173_ : ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp21))) -> (c3_1 (a1990)) -> (~(c2_1 (a1990))) -> (~(c1_1 (a1990))) -> (~(c3_1 (a1981))) -> (c1_1 (a1981)) -> (c0_1 (a1981)) -> (forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (ndr1_0) -> (~(hskp21)) -> False). % 0.74/0.91 do 0 intro. intros zenon_H1d4 zenon_H110 zenon_H10f zenon_H10e zenon_H1c8 zenon_H1bc zenon_H1bb zenon_H1b zenon_Ha zenon_H1d2. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H10d | zenon_intro zenon_H1d5 ]. % 0.74/0.91 apply (zenon_L73_); trivial. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1d3 ]. % 0.74/0.91 apply (zenon_L171_); trivial. % 0.74/0.91 exact (zenon_H1d2 zenon_H1d3). % 0.74/0.91 (* end of lemma zenon_L173_ *) % 0.74/0.91 assert (zenon_L174_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (~(c1_1 (a1990))) -> (~(c2_1 (a1990))) -> (c3_1 (a1990)) -> (c0_1 (a1981)) -> (c1_1 (a1981)) -> (~(c3_1 (a1981))) -> (~(hskp21)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp21))) -> (~(c3_1 (a2003))) -> (c1_1 (a2003)) -> (c2_1 (a2003)) -> (~(hskp17)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> False). % 0.74/0.91 do 0 intro. intros zenon_Hbc zenon_H1d6 zenon_H10e zenon_H10f zenon_H110 zenon_H1bb zenon_H1bc zenon_H1c8 zenon_H1d2 zenon_H1d4 zenon_H1d zenon_H1e zenon_H1f zenon_H2b zenon_H2d zenon_H9b zenon_H9d zenon_H9f. % 0.74/0.91 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb7 ]. % 0.74/0.91 apply (zenon_L44_); trivial. % 0.74/0.91 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Ha. zenon_intro zenon_Hb9. % 0.74/0.91 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Had. zenon_intro zenon_Hba. % 0.74/0.91 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Hae. zenon_intro zenon_Hac. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1c | zenon_intro zenon_H1d7 ]. % 0.74/0.91 apply (zenon_L12_); trivial. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_Hab | zenon_intro zenon_H1b ]. % 0.74/0.91 apply (zenon_L46_); trivial. % 0.74/0.91 apply (zenon_L173_); trivial. % 0.74/0.91 (* end of lemma zenon_L174_ *) % 0.74/0.91 assert (zenon_L175_ : (forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41)))))) -> (ndr1_0) -> (~(c1_1 (a2009))) -> (~(c3_1 (a2009))) -> (c2_1 (a2009)) -> False). % 0.74/0.91 do 0 intro. intros zenon_H1d8 zenon_Ha zenon_H1d9 zenon_H1da zenon_H1db. % 0.74/0.91 generalize (zenon_H1d8 (a2009)). zenon_intro zenon_H1dc. % 0.74/0.91 apply (zenon_imply_s _ _ zenon_H1dc); [ zenon_intro zenon_H9 | zenon_intro zenon_H1dd ]. % 0.74/0.91 exact (zenon_H9 zenon_Ha). % 0.74/0.91 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H1df | zenon_intro zenon_H1de ]. % 0.74/0.91 exact (zenon_H1d9 zenon_H1df). % 0.74/0.91 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1e1 | zenon_intro zenon_H1e0 ]. % 0.74/0.91 exact (zenon_H1da zenon_H1e1). % 0.74/0.91 exact (zenon_H1e0 zenon_H1db). % 0.74/0.91 (* end of lemma zenon_L175_ *) % 0.74/0.91 assert (zenon_L176_ : ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((hskp23)\/(hskp6))) -> (c2_1 (a2009)) -> (~(c3_1 (a2009))) -> (~(c1_1 (a2009))) -> (ndr1_0) -> (~(hskp23)) -> (~(hskp6)) -> False). % 0.74/0.91 do 0 intro. intros zenon_H1e2 zenon_H1db zenon_H1da zenon_H1d9 zenon_Ha zenon_H99 zenon_H74. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e3 ]. % 0.74/0.91 apply (zenon_L175_); trivial. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H9a | zenon_intro zenon_H75 ]. % 0.74/0.91 exact (zenon_H99 zenon_H9a). % 0.74/0.91 exact (zenon_H74 zenon_H75). % 0.74/0.91 (* end of lemma zenon_L176_ *) % 0.74/0.91 assert (zenon_L177_ : ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/(forall X62 : zenon_U, ((ndr1_0)->((c3_1 X62)\/((~(c0_1 X62))\/(~(c1_1 X62)))))))) -> (forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (c0_1 (a1996)) -> (c3_1 (a1996)) -> (~(c2_1 (a1996))) -> (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V)))))) -> (ndr1_0) -> (~(c3_1 (a1981))) -> (c0_1 (a1981)) -> (c1_1 (a1981)) -> False). % 0.74/0.91 do 0 intro. intros zenon_H1e4 zenon_H1b zenon_H13f zenon_H137 zenon_H135 zenon_H13e zenon_Ha zenon_H1c8 zenon_H1bb zenon_H1bc. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e5 ]. % 0.74/0.91 apply (zenon_L171_); trivial. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H134 | zenon_intro zenon_H1c7 ]. % 0.74/0.91 apply (zenon_L88_); trivial. % 0.74/0.91 apply (zenon_L165_); trivial. % 0.74/0.91 (* end of lemma zenon_L177_ *) % 0.74/0.91 assert (zenon_L178_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/(forall X62 : zenon_U, ((ndr1_0)->((c3_1 X62)\/((~(c0_1 X62))\/(~(c1_1 X62)))))))) -> (forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (c0_1 (a1996)) -> (c3_1 (a1996)) -> (~(c2_1 (a1996))) -> (~(c3_1 (a1981))) -> (c0_1 (a1981)) -> (c1_1 (a1981)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (ndr1_0) -> (c0_1 (a2005)) -> (c3_1 (a2005)) -> (c2_1 (a2005)) -> (~(hskp17)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp19)) -> False). % 0.74/0.91 do 0 intro. intros zenon_H156 zenon_H145 zenon_H146 zenon_H147 zenon_H1e4 zenon_H1b zenon_H13f zenon_H137 zenon_H135 zenon_H1c8 zenon_H1bb zenon_H1bc zenon_H157 zenon_Ha zenon_H78 zenon_H7a zenon_H7b zenon_H2b zenon_H2d zenon_H3. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb | zenon_intro zenon_H158 ]. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H13e | zenon_intro zenon_H159 ]. % 0.74/0.91 apply (zenon_L177_); trivial. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H144 | zenon_intro zenon_H153 ]. % 0.74/0.91 apply (zenon_L89_); trivial. % 0.74/0.91 apply (zenon_L101_); trivial. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H79 | zenon_intro zenon_H4 ]. % 0.74/0.91 apply (zenon_L34_); trivial. % 0.74/0.91 exact (zenon_H3 zenon_H4). % 0.74/0.91 (* end of lemma zenon_L178_ *) % 0.74/0.91 assert (zenon_L179_ : ((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (~(c3_1 (a2003))) -> (c1_1 (a2003)) -> (c2_1 (a2003)) -> (c1_1 (a2014)) -> (c0_1 (a2014)) -> (~(c2_1 (a2014))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/(forall X62 : zenon_U, ((ndr1_0)->((c3_1 X62)\/((~(c0_1 X62))\/(~(c1_1 X62)))))))) -> (c0_1 (a1996)) -> (c3_1 (a1996)) -> (~(c2_1 (a1996))) -> (~(c3_1 (a1981))) -> (c0_1 (a1981)) -> (c1_1 (a1981)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (~(hskp17)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp19)) -> False). % 0.74/0.91 do 0 intro. intros zenon_H8b zenon_H1d6 zenon_H1d zenon_H1e zenon_H1f zenon_Hae zenon_Had zenon_Hac zenon_H156 zenon_H145 zenon_H146 zenon_H147 zenon_H1e4 zenon_H13f zenon_H137 zenon_H135 zenon_H1c8 zenon_H1bb zenon_H1bc zenon_H157 zenon_H2b zenon_H2d zenon_H3. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Ha. zenon_intro zenon_H8c. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H78. zenon_intro zenon_H8d. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1c | zenon_intro zenon_H1d7 ]. % 0.74/0.91 apply (zenon_L12_); trivial. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_Hab | zenon_intro zenon_H1b ]. % 0.74/0.91 apply (zenon_L46_); trivial. % 0.74/0.91 apply (zenon_L178_); trivial. % 0.74/0.91 (* end of lemma zenon_L179_ *) % 0.74/0.91 assert (zenon_L180_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (c3_1 (a1987)) -> (c2_1 (a1987)) -> (~(c1_1 (a1987))) -> (c0_1 (a1981)) -> (c1_1 (a1981)) -> (~(c3_1 (a1981))) -> (~(c2_1 (a1996))) -> (c3_1 (a1996)) -> (c0_1 (a1996)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/(forall X62 : zenon_U, ((ndr1_0)->((c3_1 X62)\/((~(c0_1 X62))\/(~(c1_1 X62)))))))) -> (~(hskp19)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (c1_1 (a2014)) -> (c0_1 (a2014)) -> (~(c2_1 (a2014))) -> (~(c3_1 (a2003))) -> (c1_1 (a2003)) -> (c2_1 (a2003)) -> (~(hskp17)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp27)) -> (~(hskp6)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> False). % 0.74/0.91 do 0 intro. intros zenon_H89 zenon_H1d6 zenon_H157 zenon_H147 zenon_H146 zenon_H145 zenon_H1bb zenon_H1bc zenon_H1c8 zenon_H135 zenon_H137 zenon_H13f zenon_H1e4 zenon_H3 zenon_H156 zenon_Hae zenon_Had zenon_Hac zenon_H1d zenon_H1e zenon_H1f zenon_H2b zenon_H2d zenon_H3c zenon_H74 zenon_H76. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H72 | zenon_intro zenon_H8b ]. % 0.74/0.91 apply (zenon_L32_); trivial. % 0.74/0.91 apply (zenon_L179_); trivial. % 0.74/0.91 (* end of lemma zenon_L180_ *) % 0.74/0.91 assert (zenon_L181_ : ((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> (~(hskp11)) -> (~(hskp4)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> (~(hskp6)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp17)) -> (c2_1 (a2003)) -> (c1_1 (a2003)) -> (~(c3_1 (a2003))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(hskp19)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/(forall X62 : zenon_U, ((ndr1_0)->((c3_1 X62)\/((~(c0_1 X62))\/(~(c1_1 X62)))))))) -> (c0_1 (a1996)) -> (c3_1 (a1996)) -> (~(c2_1 (a1996))) -> (~(c3_1 (a1981))) -> (c1_1 (a1981)) -> (c0_1 (a1981)) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> False). % 0.74/0.91 do 0 intro. intros zenon_Hb7 zenon_H50 zenon_H4b zenon_H48 zenon_H3a zenon_H76 zenon_H74 zenon_H2d zenon_H2b zenon_H1f zenon_H1e zenon_H1d zenon_H156 zenon_H3 zenon_H1e4 zenon_H13f zenon_H137 zenon_H135 zenon_H1c8 zenon_H1bc zenon_H1bb zenon_H145 zenon_H146 zenon_H147 zenon_H157 zenon_H1d6 zenon_H89. % 0.74/0.91 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Ha. zenon_intro zenon_Hb9. % 0.74/0.91 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Had. zenon_intro zenon_Hba. % 0.74/0.91 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Hae. zenon_intro zenon_Hac. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H3c | zenon_intro zenon_H4a ]. % 0.74/0.91 apply (zenon_L180_); trivial. % 0.74/0.91 apply (zenon_L19_); trivial. % 0.74/0.91 (* end of lemma zenon_L181_ *) % 0.74/0.91 assert (zenon_L182_ : ((ndr1_0)/\((c2_1 (a2009))/\((~(c1_1 (a2009)))/\(~(c3_1 (a2009)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> (~(hskp11)) -> (~(hskp4)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp17)) -> (c2_1 (a2003)) -> (c1_1 (a2003)) -> (~(c3_1 (a2003))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(hskp19)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/(forall X62 : zenon_U, ((ndr1_0)->((c3_1 X62)\/((~(c0_1 X62))\/(~(c1_1 X62)))))))) -> (c0_1 (a1996)) -> (c3_1 (a1996)) -> (~(c2_1 (a1996))) -> (~(c3_1 (a1981))) -> (c1_1 (a1981)) -> (c0_1 (a1981)) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> (~(hskp6)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((hskp23)\/(hskp6))) -> False). % 0.74/0.91 do 0 intro. intros zenon_H1e6 zenon_Hbc zenon_H50 zenon_H4b zenon_H48 zenon_H3a zenon_H76 zenon_H2d zenon_H2b zenon_H1f zenon_H1e zenon_H1d zenon_H156 zenon_H3 zenon_H1e4 zenon_H13f zenon_H137 zenon_H135 zenon_H1c8 zenon_H1bc zenon_H1bb zenon_H145 zenon_H146 zenon_H147 zenon_H157 zenon_H1d6 zenon_H89 zenon_H74 zenon_H1e2. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_Ha. zenon_intro zenon_H1e7. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H1db. zenon_intro zenon_H1e8. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H1d9. zenon_intro zenon_H1da. % 0.74/0.91 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb7 ]. % 0.74/0.91 apply (zenon_L176_); trivial. % 0.74/0.91 apply (zenon_L181_); trivial. % 0.74/0.91 (* end of lemma zenon_L182_ *) % 0.74/0.91 assert (zenon_L183_ : ((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a2009))/\((~(c1_1 (a2009)))/\(~(c3_1 (a2009))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> (~(hskp11)) -> (~(hskp4)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(hskp19)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/(forall X62 : zenon_U, ((ndr1_0)->((c3_1 X62)\/((~(c0_1 X62))\/(~(c1_1 X62)))))))) -> (c0_1 (a1996)) -> (c3_1 (a1996)) -> (~(c2_1 (a1996))) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> (~(hskp6)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((hskp23)\/(hskp6))) -> ((hskp23)\/((hskp5)\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp17)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp21))) -> (~(c3_1 (a1981))) -> (c1_1 (a1981)) -> (c0_1 (a1981)) -> (c3_1 (a1990)) -> (~(c2_1 (a1990))) -> (~(c1_1 (a1990))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> False). % 0.74/0.91 do 0 intro. intros zenon_H53 zenon_H1e9 zenon_H50 zenon_H4b zenon_H48 zenon_H3a zenon_H76 zenon_H156 zenon_H3 zenon_H1e4 zenon_H13f zenon_H137 zenon_H135 zenon_H145 zenon_H146 zenon_H147 zenon_H157 zenon_H89 zenon_H74 zenon_H1e2 zenon_H9f zenon_H9d zenon_H9b zenon_H2d zenon_H2b zenon_H1d4 zenon_H1c8 zenon_H1bc zenon_H1bb zenon_H110 zenon_H10f zenon_H10e zenon_H1d6 zenon_Hbc. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_Ha. zenon_intro zenon_H54. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H1e. zenon_intro zenon_H55. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H1f. zenon_intro zenon_H1d. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H1e6 ]. % 0.74/0.91 apply (zenon_L174_); trivial. % 0.74/0.91 apply (zenon_L182_); trivial. % 0.74/0.91 (* end of lemma zenon_L183_ *) % 0.74/0.91 assert (zenon_L184_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39)))))))) -> (~(hskp19)) -> (~(c0_1 (a1998))) -> (c3_1 (a1998)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (c3_1 (a1990)) -> (~(c2_1 (a1990))) -> (~(c1_1 (a1990))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> (~(c3_1 (a1981))) -> (c1_1 (a1981)) -> (c0_1 (a1981)) -> (ndr1_0) -> (~(hskp1)) -> (~(hskp4)) -> False). % 0.74/0.91 do 0 intro. intros zenon_H1ea zenon_H3 zenon_H58 zenon_H5a zenon_H156 zenon_H110 zenon_H10f zenon_H10e zenon_H132 zenon_H1c8 zenon_H1bc zenon_H1bb zenon_Ha zenon_Hb5 zenon_H3a. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H59 | zenon_intro zenon_H1eb ]. % 0.74/0.91 apply (zenon_L111_); trivial. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H10d | zenon_intro zenon_H1ce ]. % 0.74/0.91 apply (zenon_L73_); trivial. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H1b | zenon_intro zenon_H133 ]. % 0.74/0.91 apply (zenon_L171_); trivial. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H3b ]. % 0.74/0.91 exact (zenon_Hb5 zenon_Hb6). % 0.74/0.91 exact (zenon_H3a zenon_H3b). % 0.74/0.91 (* end of lemma zenon_L184_ *) % 0.74/0.91 assert (zenon_L185_ : ((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(c2_1 (a1990))) -> (c3_1 (a1990)) -> (~(c1_1 (a1990))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> (~(hskp4)) -> (~(hskp1)) -> (~(c3_1 (a1981))) -> (c1_1 (a1981)) -> (c0_1 (a1981)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39)))))))) -> False). % 0.74/0.91 do 0 intro. intros zenon_Hc1 zenon_H131 zenon_Hbc zenon_H12d zenon_H9b zenon_H9d zenon_H9f zenon_H156 zenon_H10f zenon_H110 zenon_H10e zenon_H132 zenon_H3a zenon_Hb5 zenon_H1c8 zenon_H1bc zenon_H1bb zenon_H1ea. % 0.74/0.91 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2. % 0.74/0.91 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc3. % 0.74/0.91 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H3 | zenon_intro zenon_H12e ]. % 0.74/0.91 apply (zenon_L184_); trivial. % 0.74/0.91 apply (zenon_L83_); trivial. % 0.74/0.91 (* end of lemma zenon_L185_ *) % 0.74/0.91 assert (zenon_L186_ : ((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((hskp4)\/(hskp27))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp9))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (c3_1 (a1987)) -> (c2_1 (a1987)) -> (~(c1_1 (a1987))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c0_1 (a1981)) -> (c1_1 (a1981)) -> (~(c3_1 (a1981))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp21))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((hskp23)\/(hskp6))) -> (~(hskp6)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/(forall X62 : zenon_U, ((ndr1_0)->((c3_1 X62)\/((~(c0_1 X62))\/(~(c1_1 X62)))))))) -> ((hskp30)\/((hskp27)\/(hskp6))) -> (~(hskp4)) -> (~(hskp11)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a2009))/\((~(c1_1 (a2009)))/\(~(c3_1 (a2009))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39)))))))) -> (~(hskp1)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> False). % 0.74/0.91 do 0 intro. intros zenon_H129 zenon_H18d zenon_H52 zenon_H131 zenon_Hbc zenon_H12d zenon_H9b zenon_H9d zenon_H9f zenon_H7 zenon_H89 zenon_H16d zenon_H65 zenon_H157 zenon_H2d zenon_H147 zenon_H146 zenon_H145 zenon_H156 zenon_H161 zenon_H18b zenon_H1d6 zenon_H1bb zenon_H1bc zenon_H1c8 zenon_H1d4 zenon_H1e2 zenon_H74 zenon_H1e4 zenon_H76 zenon_H3a zenon_H48 zenon_H4b zenon_H50 zenon_H1e9 zenon_H4f zenon_H1ea zenon_Hb5 zenon_H132 zenon_Hc5 zenon_H187. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Ha. zenon_intro zenon_H12a. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H110. zenon_intro zenon_H12b. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.74/0.91 apply (zenon_L84_); trivial. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Ha. zenon_intro zenon_H189. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H13f. zenon_intro zenon_H18a. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.74/0.91 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H3 | zenon_intro zenon_H12e ]. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H17 | zenon_intro zenon_H53 ]. % 0.74/0.91 apply (zenon_L119_); trivial. % 0.74/0.91 apply (zenon_L183_); trivial. % 0.74/0.91 apply (zenon_L83_); trivial. % 0.74/0.91 apply (zenon_L185_); trivial. % 0.74/0.91 apply (zenon_L96_); trivial. % 0.74/0.91 (* end of lemma zenon_L186_ *) % 0.74/0.91 assert (zenon_L187_ : ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp17)) -> (~(c3_1 (a1981))) -> (c1_1 (a1981)) -> (c0_1 (a1981)) -> (ndr1_0) -> (forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39)))))) -> False). % 0.74/0.91 do 0 intro. intros zenon_H2d zenon_H2b zenon_H1c8 zenon_H1bc zenon_H1bb zenon_Ha zenon_H1ce. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H1b | zenon_intro zenon_H2c ]. % 0.74/0.91 apply (zenon_L171_); trivial. % 0.74/0.91 exact (zenon_H2b zenon_H2c). % 0.74/0.91 (* end of lemma zenon_L187_ *) % 0.74/0.91 assert (zenon_L188_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp15))) -> (c2_1 (a1989)) -> (~(c3_1 (a1989))) -> (~(c0_1 (a1989))) -> (ndr1_0) -> (c0_1 (a1981)) -> (c1_1 (a1981)) -> (~(c3_1 (a1981))) -> (~(hskp17)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp15)) -> False). % 0.74/0.91 do 0 intro. intros zenon_H1ec zenon_H11c zenon_H11b zenon_H11a zenon_Ha zenon_H1bb zenon_H1bc zenon_H1c8 zenon_H2b zenon_H2d zenon_H5. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H119 | zenon_intro zenon_H1ed ]. % 0.74/0.91 apply (zenon_L75_); trivial. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1ce | zenon_intro zenon_H6 ]. % 0.74/0.91 apply (zenon_L187_); trivial. % 0.74/0.91 exact (zenon_H5 zenon_H6). % 0.74/0.91 (* end of lemma zenon_L188_ *) % 0.74/0.91 assert (zenon_L189_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp13)) -> (ndr1_0) -> (~(c0_1 (a1989))) -> (~(c3_1 (a1989))) -> (c2_1 (a1989)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(c3_1 (a1981))) -> (c1_1 (a1981)) -> (c0_1 (a1981)) -> (~(hskp15)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp15))) -> False). % 0.74/0.91 do 0 intro. intros zenon_Hc5 zenon_H127 zenon_H15 zenon_Ha zenon_H11a zenon_H11b zenon_H11c zenon_H2d zenon_H1c8 zenon_H1bc zenon_H1bb zenon_H5 zenon_H1ec. % 0.74/0.91 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.74/0.91 apply (zenon_L188_); trivial. % 0.74/0.91 apply (zenon_L77_); trivial. % 0.74/0.91 (* end of lemma zenon_L189_ *) % 0.74/0.91 assert (zenon_L190_ : ((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (c2_1 (a1989)) -> (~(c3_1 (a1989))) -> (~(c0_1 (a1989))) -> (~(hskp17)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp13)) -> False). % 0.74/0.91 do 0 intro. intros zenon_H4a zenon_H127 zenon_H11c zenon_H11b zenon_H11a zenon_H2b zenon_H2d zenon_H15. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H3f. zenon_intro zenon_H4d. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H40. zenon_intro zenon_H41. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H119 | zenon_intro zenon_H128 ]. % 0.74/0.91 apply (zenon_L75_); trivial. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2e | zenon_intro zenon_H16 ]. % 0.74/0.91 apply (zenon_L38_); trivial. % 0.74/0.91 exact (zenon_H15 zenon_H16). % 0.74/0.91 (* end of lemma zenon_L190_ *) % 0.74/0.91 assert (zenon_L191_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp13)) -> (~(hskp17)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (c2_1 (a1989)) -> (~(c3_1 (a1989))) -> (~(c0_1 (a1989))) -> (ndr1_0) -> (~(c0_1 (a1993))) -> (~(c1_1 (a1993))) -> (c2_1 (a1993)) -> (~(hskp4)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((hskp4)\/(hskp27))) -> False). % 0.74/0.91 do 0 intro. intros zenon_H50 zenon_H127 zenon_H15 zenon_H2b zenon_H2d zenon_H11c zenon_H11b zenon_H11a zenon_Ha zenon_H104 zenon_H105 zenon_H106 zenon_H3a zenon_H52. % 0.74/0.91 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H3c | zenon_intro zenon_H4a ]. % 0.74/0.91 apply (zenon_L71_); trivial. % 0.74/0.91 apply (zenon_L190_); trivial. % 0.74/0.91 (* end of lemma zenon_L191_ *) % 0.74/0.91 assert (zenon_L192_ : ((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((hskp4)\/(hskp27))) -> (~(hskp4)) -> (~(c0_1 (a1989))) -> (~(c3_1 (a1989))) -> (c2_1 (a1989)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp13)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> False). % 0.74/0.91 do 0 intro. intros zenon_H15c zenon_Hc5 zenon_H52 zenon_H3a zenon_H11a zenon_H11b zenon_H11c zenon_H2d zenon_H15 zenon_H127 zenon_H50. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_Ha. zenon_intro zenon_H15d. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H106. zenon_intro zenon_H15e. % 0.74/0.91 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.74/0.91 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.74/0.91 apply (zenon_L191_); trivial. % 0.74/0.91 apply (zenon_L77_); trivial. % 0.74/0.91 (* end of lemma zenon_L192_ *) % 0.74/0.91 assert (zenon_L193_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((hskp4)\/(hskp27))) -> (~(hskp4)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp15))) -> (c0_1 (a1981)) -> (c1_1 (a1981)) -> (~(c3_1 (a1981))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (c2_1 (a1989)) -> (~(c3_1 (a1989))) -> (~(c0_1 (a1989))) -> (ndr1_0) -> (~(hskp13)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> False). % 0.74/0.91 do 0 intro. intros zenon_H18d zenon_H52 zenon_H3a zenon_H50 zenon_H1ec zenon_H1bb zenon_H1bc zenon_H1c8 zenon_H2d zenon_H11c zenon_H11b zenon_H11a zenon_Ha zenon_H15 zenon_H127 zenon_Hc5. % 0.74/0.92 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.74/0.92 apply (zenon_L189_); trivial. % 0.74/0.92 apply (zenon_L192_); trivial. % 0.74/0.92 (* end of lemma zenon_L193_ *) % 0.74/0.92 assert (zenon_L194_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp12)\/(hskp0))) -> (~(hskp0)) -> (~(hskp12)) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (ndr1_0) -> (~(c0_1 (a1989))) -> (~(c3_1 (a1989))) -> (c2_1 (a1989)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(c3_1 (a1981))) -> (c1_1 (a1981)) -> (c0_1 (a1981)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> (~(hskp4)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((hskp4)\/(hskp27))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> False). % 0.74/0.92 do 0 intro. intros zenon_Hff zenon_Hfa zenon_Hf8 zenon_H38 zenon_Hc5 zenon_H127 zenon_Ha zenon_H11a zenon_H11b zenon_H11c zenon_H2d zenon_H1c8 zenon_H1bc zenon_H1bb zenon_H1ec zenon_H50 zenon_H3a zenon_H52 zenon_H18d. % 0.74/0.92 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.74/0.92 apply (zenon_L193_); trivial. % 0.74/0.92 apply (zenon_L68_); trivial. % 0.74/0.92 (* end of lemma zenon_L194_ *) % 0.74/0.92 assert (zenon_L195_ : ((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(c2_1 (a1990))) -> (c3_1 (a1990)) -> (~(c1_1 (a1990))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> (~(hskp1)) -> (~(c3_1 (a1981))) -> (c1_1 (a1981)) -> (c0_1 (a1981)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39)))))))) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> False). % 0.74/0.92 do 0 intro. intros zenon_Hfc zenon_Hc5 zenon_H131 zenon_Hbc zenon_H12d zenon_H9b zenon_H9d zenon_H9f zenon_H156 zenon_H10f zenon_H110 zenon_H10e zenon_H132 zenon_Hb5 zenon_H1c8 zenon_H1bc zenon_H1bb zenon_H1ea zenon_H3a zenon_H172. % 0.74/0.92 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Ha. zenon_intro zenon_Hfd. % 0.74/0.92 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hf0. zenon_intro zenon_Hfe. % 0.74/0.92 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hf1. zenon_intro zenon_Hef. % 0.74/0.92 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.74/0.92 apply (zenon_L127_); trivial. % 0.74/0.92 apply (zenon_L185_); trivial. % 0.74/0.92 (* end of lemma zenon_L195_ *) % 0.74/0.92 assert (zenon_L196_ : ((ndr1_0)/\((c2_1 (a1987))/\((c3_1 (a1987))/\(~(c1_1 (a1987)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a1989))/\((~(c0_1 (a1989)))/\(~(c3_1 (a1989))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp15))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp12)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp9)\/(hskp11))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((hskp13)\/(hskp20))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp13)\/(hskp17))) -> ((hskp30)\/((hskp27)\/(hskp6))) -> (~(hskp6)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/((hskp6)\/(hskp18))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> (c1_1 (a1981)) -> (c0_1 (a1981)) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2000)))/\((~(c1_1 (a2000)))/\(~(c3_1 (a2000))))))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> ((hskp23)\/((hskp5)\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((hskp4)\/(hskp27))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a2009))/\((~(c1_1 (a2009)))/\(~(c3_1 (a2009))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/(forall X62 : zenon_U, ((ndr1_0)->((c3_1 X62)\/((~(c0_1 X62))\/(~(c1_1 X62)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((hskp23)\/(hskp6))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp21))) -> (~(c3_1 (a1981))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp9))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> False). % 0.74/0.92 do 0 intro. intros zenon_H1b3 zenon_H1a8 zenon_H172 zenon_H1ec zenon_H127 zenon_Hff zenon_Hfa zenon_Hf8 zenon_H187 zenon_Hc5 zenon_H67 zenon_H65 zenon_H19 zenon_H15a zenon_H157 zenon_H156 zenon_H3a zenon_H132 zenon_H4b zenon_H4f zenon_H50 zenon_H97 zenon_H76 zenon_H74 zenon_H2d zenon_H8a zenon_H89 zenon_H1bc zenon_H1bb zenon_Hb5 zenon_Hb8 zenon_Hc0 zenon_H7 zenon_H9f zenon_H9d zenon_H9b zenon_H12d zenon_Hbc zenon_H131 zenon_H52 zenon_H18d zenon_H1ea zenon_H1e9 zenon_H1e4 zenon_H1e2 zenon_H1d4 zenon_H1c8 zenon_H1d6 zenon_H18b zenon_H161 zenon_H16d zenon_H12c. % 0.74/0.92 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_Ha. zenon_intro zenon_H1b4. % 0.74/0.92 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H146. zenon_intro zenon_H1b5. % 0.74/0.92 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H147. zenon_intro zenon_H145. % 0.74/0.92 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.74/0.92 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.74/0.92 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.74/0.92 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.74/0.92 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.74/0.92 apply (zenon_L84_); trivial. % 0.74/0.92 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Ha. zenon_intro zenon_H189. % 0.74/0.92 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H13f. zenon_intro zenon_H18a. % 0.74/0.92 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.74/0.92 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.74/0.92 apply (zenon_L164_); trivial. % 0.74/0.92 apply (zenon_L95_); trivial. % 0.74/0.92 apply (zenon_L96_); trivial. % 0.74/0.92 apply (zenon_L68_); trivial. % 0.74/0.92 apply (zenon_L186_); trivial. % 0.74/0.92 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.74/0.92 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H11c. zenon_intro zenon_H190. % 0.74/0.92 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H11a. zenon_intro zenon_H11b. % 0.74/0.92 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.74/0.92 apply (zenon_L194_); trivial. % 0.74/0.92 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Ha. zenon_intro zenon_H12a. % 0.74/0.92 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H110. zenon_intro zenon_H12b. % 0.74/0.92 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.74/0.92 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.74/0.92 apply (zenon_L193_); trivial. % 0.74/0.92 apply (zenon_L195_); trivial. % 0.74/0.92 (* end of lemma zenon_L196_ *) % 0.74/0.92 assert (zenon_L197_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (c1_1 (a1981)) -> (c0_1 (a1981)) -> (forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (c3_1 (a2001)) -> (c2_1 (a2001)) -> (~(c0_1 (a2001))) -> (ndr1_0) -> False). % 0.74/0.92 do 0 intro. intros zenon_H12d zenon_H1bc zenon_H1bb zenon_H1b zenon_He zenon_Hd zenon_Hc zenon_Ha. % 0.74/0.92 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_Hb | zenon_intro zenon_Hab ]. % 0.74/0.92 apply (zenon_L6_); trivial. % 0.74/0.92 apply (zenon_L161_); trivial. % 0.74/0.92 (* end of lemma zenon_L197_ *) % 0.74/0.92 assert (zenon_L198_ : ((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a1985)) -> (~(c3_1 (a1985))) -> (~(c0_1 (a1985))) -> (~(hskp17)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (c1_1 (a1981)) -> (c0_1 (a1981)) -> False). % 0.74/0.92 do 0 intro. intros zenon_H12e zenon_H1d6 zenon_H193 zenon_H192 zenon_H191 zenon_H2b zenon_H2d zenon_H12d zenon_H1bc zenon_H1bb. % 0.74/0.92 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Ha. zenon_intro zenon_H12f. % 0.74/0.92 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_Hd. zenon_intro zenon_H130. % 0.74/0.92 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.74/0.92 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1c | zenon_intro zenon_H1d7 ]. % 0.74/0.92 apply (zenon_L131_); trivial. % 0.74/0.92 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_Hab | zenon_intro zenon_H1b ]. % 0.74/0.92 apply (zenon_L162_); trivial. % 0.74/0.92 apply (zenon_L197_); trivial. % 0.74/0.92 (* end of lemma zenon_L198_ *) % 0.74/0.92 assert (zenon_L199_ : ((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((hskp4)\/(hskp27))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> (~(hskp11)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> (~(hskp6)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (~(c0_1 (a1985))) -> (~(c3_1 (a1985))) -> (c1_1 (a1985)) -> (~(hskp1)) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c0_1 (a1981)) -> (c1_1 (a1981)) -> (~(c3_1 (a1981))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp21))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((hskp23)\/(hskp6))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/(forall X62 : zenon_U, ((ndr1_0)->((c3_1 X62)\/((~(c0_1 X62))\/(~(c1_1 X62)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a2009))/\((~(c1_1 (a2009)))/\(~(c3_1 (a2009))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> False). % 0.74/0.92 do 0 intro. intros zenon_H129 zenon_H18d zenon_H52 zenon_H131 zenon_Hbc zenon_H12d zenon_H9b zenon_H9d zenon_H9f zenon_H7 zenon_H50 zenon_H4b zenon_H48 zenon_H76 zenon_H74 zenon_H156 zenon_H161 zenon_H145 zenon_H146 zenon_H147 zenon_H2d zenon_H157 zenon_H191 zenon_H192 zenon_H193 zenon_Hb5 zenon_H3a zenon_H132 zenon_H15a zenon_H89 zenon_H1d6 zenon_H1bb zenon_H1bc zenon_H1c8 zenon_H1d4 zenon_H1e2 zenon_H1e4 zenon_H1e9 zenon_H4f zenon_H18b zenon_Hc5 zenon_H187. % 0.74/0.92 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Ha. zenon_intro zenon_H12a. % 0.74/0.92 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H110. zenon_intro zenon_H12b. % 0.74/0.92 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.74/0.92 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.74/0.92 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.74/0.92 apply (zenon_L84_); trivial. % 0.74/0.92 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Ha. zenon_intro zenon_H189. % 0.74/0.92 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H13f. zenon_intro zenon_H18a. % 0.74/0.92 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.74/0.92 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.74/0.92 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H3 | zenon_intro zenon_H12e ]. % 0.74/0.92 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H17 | zenon_intro zenon_H53 ]. % 0.74/0.92 apply (zenon_L138_); trivial. % 0.74/0.92 apply (zenon_L183_); trivial. % 0.74/0.92 apply (zenon_L198_); trivial. % 0.74/0.92 apply (zenon_L142_); trivial. % 0.74/0.92 apply (zenon_L96_); trivial. % 0.74/0.92 (* end of lemma zenon_L199_ *) % 0.74/0.92 assert (zenon_L200_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (~(c1_1 (a1990))) -> (~(c2_1 (a1990))) -> (c3_1 (a1990)) -> (c0_1 (a1981)) -> (c1_1 (a1981)) -> (~(c3_1 (a1981))) -> (~(hskp21)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp21))) -> (c1_1 (a1985)) -> (~(c3_1 (a1985))) -> (~(c0_1 (a1985))) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> False). % 0.74/0.92 do 0 intro. intros zenon_Hbc zenon_H1d6 zenon_H10e zenon_H10f zenon_H110 zenon_H1bb zenon_H1bc zenon_H1c8 zenon_H1d2 zenon_H1d4 zenon_H193 zenon_H192 zenon_H191 zenon_H9b zenon_H9d zenon_H9f. % 0.74/0.92 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb7 ]. % 0.74/0.92 apply (zenon_L44_); trivial. % 0.74/0.92 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Ha. zenon_intro zenon_Hb9. % 0.74/0.92 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Had. zenon_intro zenon_Hba. % 0.74/0.92 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Hae. zenon_intro zenon_Hac. % 0.74/0.92 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1c | zenon_intro zenon_H1d7 ]. % 0.74/0.92 apply (zenon_L131_); trivial. % 0.74/0.92 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_Hab | zenon_intro zenon_H1b ]. % 0.74/0.92 apply (zenon_L46_); trivial. % 0.74/0.92 apply (zenon_L173_); trivial. % 0.74/0.92 (* end of lemma zenon_L200_ *) % 0.74/0.92 assert (zenon_L201_ : ((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a1985)) -> (~(c3_1 (a1985))) -> (~(c0_1 (a1985))) -> (c1_1 (a2014)) -> (c0_1 (a2014)) -> (~(c2_1 (a2014))) -> False). % 0.74/0.92 do 0 intro. intros zenon_H183 zenon_H1d6 zenon_H193 zenon_H192 zenon_H191 zenon_Hae zenon_Had zenon_Hac. % 0.74/0.92 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_Ha. zenon_intro zenon_H184. % 0.74/0.92 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H17a. zenon_intro zenon_H185. % 0.74/0.92 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17b. zenon_intro zenon_H17c. % 0.74/0.92 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1c | zenon_intro zenon_H1d7 ]. % 0.74/0.92 apply (zenon_L131_); trivial. % 0.74/0.92 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_Hab | zenon_intro zenon_H1b ]. % 0.74/0.92 apply (zenon_L46_); trivial. % 0.74/0.92 apply (zenon_L114_); trivial. % 0.74/0.92 (* end of lemma zenon_L201_ *) % 0.74/0.92 assert (zenon_L202_ : ((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a1985)) -> (~(c3_1 (a1985))) -> (~(c0_1 (a1985))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(hskp19)) -> (~(c2_1 (a1990))) -> (c3_1 (a1990)) -> (~(c1_1 (a1990))) -> (c3_1 (a1998)) -> (~(c0_1 (a1998))) -> (c1_1 (a1998)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> False). % 0.74/0.92 do 0 intro. intros zenon_Hb7 zenon_H186 zenon_H1d6 zenon_H193 zenon_H192 zenon_H191 zenon_H156 zenon_H3 zenon_H10f zenon_H110 zenon_H10e zenon_H5a zenon_H58 zenon_Hc4 zenon_H178. % 0.74/0.92 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Ha. zenon_intro zenon_Hb9. % 0.74/0.92 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Had. zenon_intro zenon_Hba. % 0.74/0.92 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Hae. zenon_intro zenon_Hac. % 0.74/0.92 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H176 | zenon_intro zenon_H183 ]. % 0.74/0.92 apply (zenon_L113_); trivial. % 0.74/0.92 apply (zenon_L201_); trivial. % 0.74/0.92 (* end of lemma zenon_L202_ *) % 0.74/0.92 assert (zenon_L203_ : ((ndr1_0)/\((c2_1 (a2009))/\((~(c1_1 (a2009)))/\(~(c3_1 (a2009)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a1985)) -> (~(c3_1 (a1985))) -> (~(c0_1 (a1985))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(hskp19)) -> (~(c2_1 (a1990))) -> (c3_1 (a1990)) -> (~(c1_1 (a1990))) -> (c3_1 (a1998)) -> (~(c0_1 (a1998))) -> (c1_1 (a1998)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> (~(hskp6)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((hskp23)\/(hskp6))) -> False). % 0.74/0.92 do 0 intro. intros zenon_H1e6 zenon_Hbc zenon_H186 zenon_H1d6 zenon_H193 zenon_H192 zenon_H191 zenon_H156 zenon_H3 zenon_H10f zenon_H110 zenon_H10e zenon_H5a zenon_H58 zenon_Hc4 zenon_H178 zenon_H74 zenon_H1e2. % 0.74/0.92 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_Ha. zenon_intro zenon_H1e7. % 0.74/0.92 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H1db. zenon_intro zenon_H1e8. % 0.74/0.92 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H1d9. zenon_intro zenon_H1da. % 0.74/0.92 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb7 ]. % 0.74/0.92 apply (zenon_L176_); trivial. % 0.74/0.92 apply (zenon_L202_); trivial. % 0.74/0.92 (* end of lemma zenon_L203_ *) % 0.74/0.92 assert (zenon_L204_ : ((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (~(c1_1 (a1990))) -> (~(c2_1 (a1990))) -> (c3_1 (a1990)) -> (c0_1 (a1981)) -> (c1_1 (a1981)) -> (~(c3_1 (a1981))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp21))) -> (c1_1 (a1985)) -> (~(c3_1 (a1985))) -> (~(c0_1 (a1985))) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((hskp23)\/(hskp6))) -> (~(hskp6)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a2009))/\((~(c1_1 (a2009)))/\(~(c3_1 (a2009))))))) -> False). % 0.74/0.92 do 0 intro. intros zenon_Hc1 zenon_H131 zenon_H12d zenon_Hbc zenon_H1d6 zenon_H10e zenon_H10f zenon_H110 zenon_H1bb zenon_H1bc zenon_H1c8 zenon_H1d4 zenon_H193 zenon_H192 zenon_H191 zenon_H9b zenon_H9d zenon_H9f zenon_H1e2 zenon_H74 zenon_H178 zenon_H156 zenon_H186 zenon_H1e9. % 0.74/0.92 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2. % 0.74/0.92 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc3. % 0.74/0.92 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.74/0.92 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H3 | zenon_intro zenon_H12e ]. % 0.74/0.92 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H1e6 ]. % 0.74/0.92 apply (zenon_L200_); trivial. % 0.74/0.92 apply (zenon_L203_); trivial. % 0.74/0.92 apply (zenon_L83_); trivial. % 0.74/0.92 (* end of lemma zenon_L204_ *) % 0.74/0.92 assert (zenon_L205_ : ((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (~(c1_1 (a1990))) -> (~(c2_1 (a1990))) -> (c3_1 (a1990)) -> (c0_1 (a1981)) -> (c1_1 (a1981)) -> (~(c3_1 (a1981))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp21))) -> (c1_1 (a1985)) -> (~(c3_1 (a1985))) -> (~(c0_1 (a1985))) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((hskp23)\/(hskp6))) -> (~(hskp6)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a2009))/\((~(c1_1 (a2009)))/\(~(c3_1 (a2009))))))) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> False). % 0.74/0.92 do 0 intro. intros zenon_Hfc zenon_Hc5 zenon_H131 zenon_H12d zenon_Hbc zenon_H1d6 zenon_H10e zenon_H10f zenon_H110 zenon_H1bb zenon_H1bc zenon_H1c8 zenon_H1d4 zenon_H193 zenon_H192 zenon_H191 zenon_H9b zenon_H9d zenon_H9f zenon_H1e2 zenon_H74 zenon_H178 zenon_H156 zenon_H186 zenon_H1e9 zenon_H3a zenon_H172. % 0.74/0.92 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Ha. zenon_intro zenon_Hfd. % 0.74/0.92 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hf0. zenon_intro zenon_Hfe. % 0.74/0.92 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hf1. zenon_intro zenon_Hef. % 0.74/0.92 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.74/0.92 apply (zenon_L127_); trivial. % 0.74/0.92 apply (zenon_L204_); trivial. % 0.74/0.92 (* end of lemma zenon_L205_ *) % 0.74/0.92 assert (zenon_L206_ : ((ndr1_0)/\((c2_1 (a1989))/\((~(c0_1 (a1989)))/\(~(c3_1 (a1989)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp21))) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((hskp23)\/(hskp6))) -> (~(hskp6)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a2009))/\((~(c1_1 (a2009)))/\(~(c3_1 (a2009))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((hskp4)\/(hskp27))) -> (~(hskp4)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp15))) -> (c0_1 (a1981)) -> (c1_1 (a1981)) -> (~(c3_1 (a1981))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> (~(c0_1 (a1985))) -> (~(c3_1 (a1985))) -> (c1_1 (a1985)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> False). % 0.74/0.92 do 0 intro. intros zenon_H18e zenon_H12c zenon_H131 zenon_H12d zenon_Hbc zenon_H1d6 zenon_H1d4 zenon_H9b zenon_H9d zenon_H9f zenon_H1e2 zenon_H74 zenon_H178 zenon_H156 zenon_H186 zenon_H1e9 zenon_H18d zenon_H52 zenon_H3a zenon_H50 zenon_H1ec zenon_H1bb zenon_H1bc zenon_H1c8 zenon_H2d zenon_H127 zenon_Hc5 zenon_H172 zenon_H191 zenon_H192 zenon_H193 zenon_H51 zenon_Hff. % 0.74/0.92 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.74/0.92 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H11c. zenon_intro zenon_H190. % 0.74/0.92 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H11a. zenon_intro zenon_H11b. % 0.74/0.92 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.74/0.92 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.74/0.92 apply (zenon_L193_); trivial. % 0.74/0.92 apply (zenon_L133_); trivial. % 0.74/0.92 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Ha. zenon_intro zenon_H12a. % 0.74/0.92 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H110. zenon_intro zenon_H12b. % 0.74/0.92 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.74/0.92 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.74/0.92 apply (zenon_L193_); trivial. % 0.74/0.92 apply (zenon_L205_); trivial. % 0.74/0.92 (* end of lemma zenon_L206_ *) % 0.74/0.92 assert (zenon_L207_ : ((ndr1_0)/\((c2_1 (a1987))/\((c3_1 (a1987))/\(~(c1_1 (a1987)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a1989))/\((~(c0_1 (a1989)))/\(~(c3_1 (a1989))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp15))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2000)))/\((~(c1_1 (a2000)))/\(~(c3_1 (a2000))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a1981)) -> (c1_1 (a1981)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/((hskp6)\/(hskp18))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp6)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp13)\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> (~(c0_1 (a1985))) -> (~(c3_1 (a1985))) -> (c1_1 (a1985)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a2009))/\((~(c1_1 (a2009)))/\(~(c3_1 (a2009))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/(forall X62 : zenon_U, ((ndr1_0)->((c3_1 X62)\/((~(c0_1 X62))\/(~(c1_1 X62)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((hskp23)\/(hskp6))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp21))) -> (~(c3_1 (a1981))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> ((hskp23)\/((hskp5)\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((hskp4)\/(hskp27))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> False). % 0.74/0.92 do 0 intro. intros zenon_H1b3 zenon_H1a8 zenon_H178 zenon_H186 zenon_H1ec zenon_H127 zenon_Hff zenon_H3a zenon_H172 zenon_Hc0 zenon_Hb8 zenon_Hb5 zenon_H1bb zenon_H1bc zenon_H89 zenon_H8a zenon_H2d zenon_H74 zenon_H76 zenon_H97 zenon_H50 zenon_H191 zenon_H192 zenon_H193 zenon_H51 zenon_Hc5 zenon_H187 zenon_H18b zenon_H4f zenon_H1e9 zenon_H1e4 zenon_H1e2 zenon_H1d4 zenon_H1c8 zenon_H1d6 zenon_H15a zenon_H132 zenon_H157 zenon_H161 zenon_H156 zenon_H4b zenon_H7 zenon_H9f zenon_H9d zenon_H9b zenon_H12d zenon_Hbc zenon_H131 zenon_H52 zenon_H18d zenon_H12c. % 0.74/0.92 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_Ha. zenon_intro zenon_H1b4. % 0.74/0.92 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H146. zenon_intro zenon_H1b5. % 0.74/0.92 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H147. zenon_intro zenon_H145. % 0.74/0.92 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.74/0.92 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.74/0.92 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.74/0.92 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.74/0.92 apply (zenon_L164_); trivial. % 0.74/0.92 apply (zenon_L132_); trivial. % 0.74/0.92 apply (zenon_L133_); trivial. % 0.74/0.92 apply (zenon_L199_); trivial. % 0.74/0.92 apply (zenon_L206_); trivial. % 0.74/0.92 (* end of lemma zenon_L207_ *) % 0.74/0.92 assert (zenon_L208_ : ((ndr1_0)/\((c3_1 (a1983))/\((~(c0_1 (a1983)))/\(~(c1_1 (a1983)))))) -> ((~(hskp9))\/((ndr1_0)/\((c1_1 (a1985))/\((~(c0_1 (a1985)))/\(~(c3_1 (a1985))))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a1987))/\((c3_1 (a1987))/\(~(c1_1 (a1987))))))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp27))) -> (~(hskp4)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12))) -> (~(hskp1)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((hskp1)\/(hskp10))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((hskp29)\/(hskp6))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp9)\/(hskp11))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((hskp13)\/(hskp20))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a1989))/\((~(c0_1 (a1989)))/\(~(c3_1 (a1989))))))) -> False). % 0.74/0.92 do 0 intro. intros zenon_H1ee zenon_H1b6 zenon_H1b7 zenon_H1b1 zenon_H3a zenon_H4b zenon_H50 zenon_H51 zenon_Hb5 zenon_H117 zenon_H12c zenon_Hff zenon_H186 zenon_H2d zenon_H74 zenon_H1a4 zenon_H67 zenon_H19 zenon_H127 zenon_H9b zenon_H1a6 zenon_H4f zenon_Hc5 zenon_H1a8. % 0.74/0.92 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Ha. zenon_intro zenon_H1ef. % 0.74/0.92 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H19d. zenon_intro zenon_H1f0. % 0.74/0.92 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H19b. zenon_intro zenon_H19c. % 0.74/0.92 apply (zenon_L159_); trivial. % 0.74/0.92 (* end of lemma zenon_L208_ *) % 0.74/0.92 assert (zenon_L209_ : (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))) -> (ndr1_0) -> (~(c0_1 (a1979))) -> (~(c2_1 (a1979))) -> (c3_1 (a1979)) -> False). % 0.74/0.92 do 0 intro. intros zenon_H59 zenon_Ha zenon_H1f1 zenon_H1f2 zenon_H1f3. % 0.74/0.92 generalize (zenon_H59 (a1979)). zenon_intro zenon_H1f4. % 0.74/0.92 apply (zenon_imply_s _ _ zenon_H1f4); [ zenon_intro zenon_H9 | zenon_intro zenon_H1f5 ]. % 0.74/0.92 exact (zenon_H9 zenon_Ha). % 0.74/0.92 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f7 | zenon_intro zenon_H1f6 ]. % 0.74/0.92 exact (zenon_H1f1 zenon_H1f7). % 0.74/0.92 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H1f8 ]. % 0.74/0.92 exact (zenon_H1f2 zenon_H1f9). % 0.74/0.92 exact (zenon_H1f8 zenon_H1f3). % 0.74/0.92 (* end of lemma zenon_L209_ *) % 0.74/0.92 assert (zenon_L210_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp9)\/(hskp11))) -> (c3_1 (a1979)) -> (~(c2_1 (a1979))) -> (~(c0_1 (a1979))) -> (ndr1_0) -> (~(hskp9)) -> (~(hskp11)) -> False). % 0.74/0.92 do 0 intro. intros zenon_H67 zenon_H1f3 zenon_H1f2 zenon_H1f1 zenon_Ha zenon_H65 zenon_H48. % 0.74/0.92 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H59 | zenon_intro zenon_H68 ]. % 0.74/0.92 apply (zenon_L209_); trivial. % 0.74/0.92 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H66 | zenon_intro zenon_H49 ]. % 0.74/0.92 exact (zenon_H65 zenon_H66). % 0.74/0.92 exact (zenon_H48 zenon_H49). % 0.74/0.92 (* end of lemma zenon_L210_ *) % 0.74/0.92 assert (zenon_L211_ : (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))) -> (ndr1_0) -> (~(c0_1 (a1979))) -> (forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6)))))) -> (~(c2_1 (a1979))) -> (c3_1 (a1979)) -> False). % 0.74/0.92 do 0 intro. intros zenon_H2e zenon_Ha zenon_H1f1 zenon_H10d zenon_H1f2 zenon_H1f3. % 0.74/0.92 generalize (zenon_H2e (a1979)). zenon_intro zenon_H1fa. % 0.74/0.92 apply (zenon_imply_s _ _ zenon_H1fa); [ zenon_intro zenon_H9 | zenon_intro zenon_H1fb ]. % 0.74/0.92 exact (zenon_H9 zenon_Ha). % 0.74/0.92 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1f7 | zenon_intro zenon_H1fc ]. % 0.74/0.92 exact (zenon_H1f1 zenon_H1f7). % 0.74/0.92 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1f8 ]. % 0.74/0.92 generalize (zenon_H10d (a1979)). zenon_intro zenon_H1fe. % 0.74/0.92 apply (zenon_imply_s _ _ zenon_H1fe); [ zenon_intro zenon_H9 | zenon_intro zenon_H1ff ]. % 0.74/0.92 exact (zenon_H9 zenon_Ha). % 0.74/0.92 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H200 | zenon_intro zenon_H1f6 ]. % 0.74/0.92 exact (zenon_H1fd zenon_H200). % 0.74/0.92 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H1f8 ]. % 0.74/0.92 exact (zenon_H1f2 zenon_H1f9). % 0.74/0.92 exact (zenon_H1f8 zenon_H1f3). % 0.74/0.92 exact (zenon_H1f8 zenon_H1f3). % 0.74/0.92 (* end of lemma zenon_L211_ *) % 0.74/0.92 assert (zenon_L212_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> (~(hskp10)) -> (~(hskp1)) -> (ndr1_0) -> (~(c0_1 (a1979))) -> (~(c2_1 (a1979))) -> (c3_1 (a1979)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((hskp1)\/(hskp10))) -> (~(hskp29)) -> False). % 0.74/0.92 do 0 intro. intros zenon_H178 zenon_H6e zenon_Hb5 zenon_Ha zenon_H1f1 zenon_H1f2 zenon_H1f3 zenon_H117 zenon_H176. % 0.74/0.92 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H59 | zenon_intro zenon_H179 ]. % 0.74/0.92 apply (zenon_L209_); trivial. % 0.74/0.92 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H2e | zenon_intro zenon_H177 ]. % 0.74/0.92 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H10d | zenon_intro zenon_H118 ]. % 0.74/0.92 apply (zenon_L211_); trivial. % 0.74/0.92 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H6f ]. % 0.74/0.92 exact (zenon_Hb5 zenon_Hb6). % 0.74/0.92 exact (zenon_H6e zenon_H6f). % 0.74/0.92 exact (zenon_H176 zenon_H177). % 0.74/0.92 (* end of lemma zenon_L212_ *) % 0.74/0.92 assert (zenon_L213_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp17)) -> (ndr1_0) -> (~(c0_1 (a1979))) -> (~(c2_1 (a1979))) -> (c3_1 (a1979)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((hskp1)\/(hskp10))) -> (~(hskp10)) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> False). % 0.74/0.92 do 0 intro. intros zenon_H186 zenon_H2d zenon_H2b zenon_Ha zenon_H1f1 zenon_H1f2 zenon_H1f3 zenon_H117 zenon_H6e zenon_Hb5 zenon_H178. % 0.74/0.92 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H176 | zenon_intro zenon_H183 ]. % 0.74/0.92 apply (zenon_L212_); trivial. % 0.74/0.92 apply (zenon_L147_); trivial. % 0.74/0.92 (* end of lemma zenon_L213_ *) % 0.74/0.92 assert (zenon_L214_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp13)) -> (c2_1 (a1989)) -> (~(c3_1 (a1989))) -> (~(c0_1 (a1989))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> (~(hskp1)) -> (~(hskp10)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((hskp1)\/(hskp10))) -> (c3_1 (a1979)) -> (~(c2_1 (a1979))) -> (~(c0_1 (a1979))) -> (ndr1_0) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> False). % 0.74/0.92 do 0 intro. intros zenon_Hc5 zenon_H127 zenon_H15 zenon_H11c zenon_H11b zenon_H11a zenon_H178 zenon_Hb5 zenon_H6e zenon_H117 zenon_H1f3 zenon_H1f2 zenon_H1f1 zenon_Ha zenon_H2d zenon_H186. % 0.74/0.92 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.74/0.92 apply (zenon_L213_); trivial. % 0.74/0.92 apply (zenon_L77_); trivial. % 0.74/0.92 (* end of lemma zenon_L214_ *) % 0.74/0.92 assert (zenon_L215_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> (c3_1 (a1979)) -> (~(c2_1 (a1979))) -> (~(c0_1 (a1979))) -> (c3_1 (a1998)) -> (c1_1 (a1998)) -> (~(c0_1 (a1998))) -> (ndr1_0) -> (~(hskp29)) -> False). % 0.74/0.92 do 0 intro. intros zenon_H178 zenon_H1f3 zenon_H1f2 zenon_H1f1 zenon_H5a zenon_Hc4 zenon_H58 zenon_Ha zenon_H176. % 0.74/0.92 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H59 | zenon_intro zenon_H179 ]. % 0.74/0.92 apply (zenon_L209_); trivial. % 0.74/0.92 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H2e | zenon_intro zenon_H177 ]. % 0.74/0.92 apply (zenon_L76_); trivial. % 0.74/0.92 exact (zenon_H176 zenon_H177). % 0.74/0.92 (* end of lemma zenon_L215_ *) % 0.74/0.92 assert (zenon_L216_ : ((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> (~(hskp4)) -> (~(hskp1)) -> (~(c0_1 (a1979))) -> (~(c2_1 (a1979))) -> (c3_1 (a1979)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> False). % 0.74/0.92 do 0 intro. intros zenon_Hc1 zenon_H186 zenon_H132 zenon_H3a zenon_Hb5 zenon_H1f1 zenon_H1f2 zenon_H1f3 zenon_H178. % 0.74/0.92 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2. % 0.74/0.92 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc3. % 0.74/0.92 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.74/0.92 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H176 | zenon_intro zenon_H183 ]. % 0.74/0.92 apply (zenon_L215_); trivial. % 0.74/0.92 apply (zenon_L115_); trivial. % 0.74/0.92 (* end of lemma zenon_L216_ *) % 0.74/0.92 assert (zenon_L217_ : ((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> (~(hskp1)) -> (~(c0_1 (a1979))) -> (~(c2_1 (a1979))) -> (c3_1 (a1979)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> False). % 0.74/0.92 do 0 intro. intros zenon_Hfc zenon_Hc5 zenon_H186 zenon_H132 zenon_Hb5 zenon_H1f1 zenon_H1f2 zenon_H1f3 zenon_H178 zenon_H3a zenon_H172. % 0.74/0.92 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Ha. zenon_intro zenon_Hfd. % 0.74/0.92 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hf0. zenon_intro zenon_Hfe. % 0.74/0.92 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hf1. zenon_intro zenon_Hef. % 0.74/0.92 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.74/0.92 apply (zenon_L127_); trivial. % 0.74/0.92 apply (zenon_L216_); trivial. % 0.74/0.92 (* end of lemma zenon_L217_ *) % 0.74/0.92 assert (zenon_L218_ : ((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> (c2_1 (a1989)) -> (~(c3_1 (a1989))) -> (~(c0_1 (a1989))) -> (~(hskp17)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp14)) -> False). % 0.74/0.92 do 0 intro. intros zenon_H8b zenon_H174 zenon_H11c zenon_H11b zenon_H11a zenon_H2b zenon_H2d zenon_H6c. % 0.74/0.92 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Ha. zenon_intro zenon_H8c. % 0.74/0.92 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H78. zenon_intro zenon_H8d. % 0.74/0.92 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.74/0.92 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H119 | zenon_intro zenon_H175 ]. % 0.74/0.92 apply (zenon_L75_); trivial. % 0.74/0.92 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H79 | zenon_intro zenon_H6d ]. % 0.74/0.92 apply (zenon_L34_); trivial. % 0.74/0.92 exact (zenon_H6c zenon_H6d). % 0.74/0.92 (* end of lemma zenon_L218_ *) % 0.74/0.92 assert (zenon_L219_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> (~(hskp14)) -> (~(hskp17)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (c2_1 (a1989)) -> (~(c3_1 (a1989))) -> (~(c0_1 (a1989))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (~(hskp20)) -> (c0_1 (a1996)) -> (c3_1 (a1996)) -> (~(c2_1 (a1996))) -> (ndr1_0) -> (~(hskp5)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> False). % 0.74/0.92 do 0 intro. intros zenon_H89 zenon_H174 zenon_H6c zenon_H2b zenon_H2d zenon_H11c zenon_H11b zenon_H11a zenon_H161 zenon_H17 zenon_H13f zenon_H137 zenon_H135 zenon_Ha zenon_H9b zenon_H18b. % 0.74/0.92 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H72 | zenon_intro zenon_H8b ]. % 0.74/0.92 apply (zenon_L118_); trivial. % 0.74/0.92 apply (zenon_L218_); trivial. % 0.74/0.92 (* end of lemma zenon_L219_ *) % 0.74/0.92 assert (zenon_L220_ : (forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56)))))) -> (ndr1_0) -> (forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))) -> (~(c2_1 (a1996))) -> (c3_1 (a1996)) -> (c0_1 (a1996)) -> False). % 0.74/0.92 do 0 intro. intros zenon_H79 zenon_Ha zenon_H134 zenon_H135 zenon_H137 zenon_H13f. % 0.74/0.92 generalize (zenon_H79 (a1996)). zenon_intro zenon_H201. % 0.74/0.92 apply (zenon_imply_s _ _ zenon_H201); [ zenon_intro zenon_H9 | zenon_intro zenon_H202 ]. % 0.74/0.92 exact (zenon_H9 zenon_Ha). % 0.74/0.92 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H136 | zenon_intro zenon_H203 ]. % 0.74/0.92 apply (zenon_L87_); trivial. % 0.74/0.92 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H143 | zenon_intro zenon_H13c ]. % 0.74/0.92 exact (zenon_H143 zenon_H13f). % 0.74/0.92 exact (zenon_H13c zenon_H137). % 0.74/0.92 (* end of lemma zenon_L220_ *) % 0.74/0.92 assert (zenon_L221_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> (c2_1 (a1989)) -> (~(c3_1 (a1989))) -> (~(c0_1 (a1989))) -> (c0_1 (a1996)) -> (c3_1 (a1996)) -> (~(c2_1 (a1996))) -> (forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))) -> (ndr1_0) -> (~(hskp14)) -> False). % 0.74/0.92 do 0 intro. intros zenon_H174 zenon_H11c zenon_H11b zenon_H11a zenon_H13f zenon_H137 zenon_H135 zenon_H134 zenon_Ha zenon_H6c. % 0.74/0.92 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H119 | zenon_intro zenon_H175 ]. % 0.74/0.92 apply (zenon_L75_); trivial. % 0.74/0.92 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H79 | zenon_intro zenon_H6d ]. % 0.74/0.92 apply (zenon_L220_); trivial. % 0.74/0.92 exact (zenon_H6c zenon_H6d). % 0.74/0.92 (* end of lemma zenon_L221_ *) % 0.74/0.92 assert (zenon_L222_ : ((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> (c3_1 (a1979)) -> (~(c2_1 (a1979))) -> (~(c0_1 (a1979))) -> (~(hskp17)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> (c2_1 (a1989)) -> (~(c3_1 (a1989))) -> (~(c0_1 (a1989))) -> (c0_1 (a1996)) -> (c3_1 (a1996)) -> (~(c2_1 (a1996))) -> (~(hskp14)) -> False). % 0.74/0.92 do 0 intro. intros zenon_H53 zenon_H15a zenon_H1f3 zenon_H1f2 zenon_H1f1 zenon_H2b zenon_H2d zenon_H174 zenon_H11c zenon_H11b zenon_H11a zenon_H13f zenon_H137 zenon_H135 zenon_H6c. % 0.74/0.92 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_Ha. zenon_intro zenon_H54. % 0.74/0.92 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H1e. zenon_intro zenon_H55. % 0.74/0.92 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H1f. zenon_intro zenon_H1d. % 0.74/0.92 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H59 | zenon_intro zenon_H15b ]. % 0.74/0.92 apply (zenon_L209_); trivial. % 0.74/0.92 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1c | zenon_intro zenon_H134 ]. % 0.74/0.92 apply (zenon_L12_); trivial. % 0.74/0.92 apply (zenon_L221_); trivial. % 0.74/0.92 (* end of lemma zenon_L222_ *) % 0.74/0.92 assert (zenon_L223_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((hskp4)\/(hskp27))) -> (~(hskp4)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> (c3_1 (a1979)) -> (~(c2_1 (a1979))) -> (~(c0_1 (a1979))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (~(c0_1 (a1989))) -> (~(c3_1 (a1989))) -> (c2_1 (a1989)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp14)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> (~(hskp13)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> False). % 0.74/0.92 do 0 intro. intros zenon_H18d zenon_H52 zenon_H3a zenon_H50 zenon_H131 zenon_Hbc zenon_H12d zenon_H9b zenon_H9d zenon_H9f zenon_H7 zenon_H4f zenon_H15a zenon_H1f3 zenon_H1f2 zenon_H1f1 zenon_H18b zenon_H161 zenon_H11a zenon_H11b zenon_H11c zenon_H2d zenon_H6c zenon_H174 zenon_H89 zenon_H15 zenon_H127 zenon_Hc5 zenon_H187. % 0.74/0.92 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.74/0.92 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.74/0.92 apply (zenon_L84_); trivial. % 0.74/0.92 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Ha. zenon_intro zenon_H189. % 0.74/0.92 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H13f. zenon_intro zenon_H18a. % 0.74/0.92 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.74/0.92 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.74/0.92 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H17 | zenon_intro zenon_H53 ]. % 0.74/0.92 apply (zenon_L219_); trivial. % 0.74/0.92 apply (zenon_L222_); trivial. % 0.74/0.92 apply (zenon_L77_); trivial. % 0.74/0.92 apply (zenon_L192_); trivial. % 0.74/0.92 (* end of lemma zenon_L223_ *) % 0.74/0.92 assert (zenon_L224_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp17)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (c3_1 (a1979)) -> (~(c2_1 (a1979))) -> (~(c0_1 (a1979))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (~(hskp20)) -> (c0_1 (a1996)) -> (c3_1 (a1996)) -> (~(c2_1 (a1996))) -> (ndr1_0) -> (~(hskp5)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> False). % 0.74/0.92 do 0 intro. intros zenon_H89 zenon_H16d zenon_H65 zenon_H145 zenon_H146 zenon_H147 zenon_H2d zenon_H2b zenon_H157 zenon_H1f3 zenon_H1f2 zenon_H1f1 zenon_H161 zenon_H17 zenon_H13f zenon_H137 zenon_H135 zenon_Ha zenon_H9b zenon_H18b. % 0.74/0.92 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H72 | zenon_intro zenon_H8b ]. % 0.74/0.92 apply (zenon_L118_); trivial. % 0.74/0.92 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Ha. zenon_intro zenon_H8c. % 0.74/0.92 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H78. zenon_intro zenon_H8d. % 0.74/0.92 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.74/0.92 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H59 | zenon_intro zenon_H16e ]. % 0.74/0.92 apply (zenon_L209_); trivial. % 0.74/0.92 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_Hb | zenon_intro zenon_H66 ]. % 0.74/0.92 apply (zenon_L102_); trivial. % 0.74/0.92 exact (zenon_H65 zenon_H66). % 0.74/0.92 (* end of lemma zenon_L224_ *) % 0.74/0.92 assert (zenon_L225_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> (~(c1_1 (a1990))) -> (c3_1 (a1990)) -> (~(c2_1 (a1990))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> (~(hskp5)) -> (ndr1_0) -> (~(c2_1 (a1996))) -> (c3_1 (a1996)) -> (c0_1 (a1996)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (~(c0_1 (a1989))) -> (~(c3_1 (a1989))) -> (c2_1 (a1989)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp17)) -> (~(hskp14)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> False). % 0.74/0.92 do 0 intro. intros zenon_H4f zenon_H15a zenon_H172 zenon_H3a zenon_H10e zenon_H110 zenon_H10f zenon_H18b zenon_H9b zenon_Ha zenon_H135 zenon_H137 zenon_H13f zenon_H161 zenon_H11a zenon_H11b zenon_H11c zenon_H2d zenon_H2b zenon_H6c zenon_H174 zenon_H89. % 0.74/0.92 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H17 | zenon_intro zenon_H53 ]. % 0.74/0.92 apply (zenon_L219_); trivial. % 0.74/0.92 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_Ha. zenon_intro zenon_H54. % 0.74/0.92 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H1e. zenon_intro zenon_H55. % 0.74/0.92 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H1f. zenon_intro zenon_H1d. % 0.74/0.92 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H59 | zenon_intro zenon_H15b ]. % 0.74/0.92 apply (zenon_L109_); trivial. % 0.74/0.92 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1c | zenon_intro zenon_H134 ]. % 0.74/0.92 apply (zenon_L12_); trivial. % 0.74/0.92 apply (zenon_L221_); trivial. % 0.74/0.92 (* end of lemma zenon_L225_ *) % 0.74/0.92 assert (zenon_L226_ : ((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> (~(hskp1)) -> (~(c0_1 (a1979))) -> (~(c2_1 (a1979))) -> (c3_1 (a1979)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (c2_1 (a1989)) -> (~(c3_1 (a1989))) -> (~(c0_1 (a1989))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (~(hskp5)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> (~(c2_1 (a1990))) -> (c3_1 (a1990)) -> (~(c1_1 (a1990))) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> False). % 0.74/0.92 do 0 intro. intros zenon_H188 zenon_Hc5 zenon_H186 zenon_H132 zenon_Hb5 zenon_H1f1 zenon_H1f2 zenon_H1f3 zenon_H178 zenon_H89 zenon_H174 zenon_H6c zenon_H2d zenon_H11c zenon_H11b zenon_H11a zenon_H161 zenon_H9b zenon_H18b zenon_H10f zenon_H110 zenon_H10e zenon_H3a zenon_H172 zenon_H15a zenon_H4f. % 0.74/0.92 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Ha. zenon_intro zenon_H189. % 0.74/0.92 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H13f. zenon_intro zenon_H18a. % 0.74/0.92 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.74/0.92 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.74/0.92 apply (zenon_L225_); trivial. % 0.74/0.92 apply (zenon_L216_); trivial. % 0.74/0.92 (* end of lemma zenon_L226_ *) % 0.74/0.92 assert (zenon_L227_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> (~(hskp1)) -> (~(c0_1 (a1979))) -> (~(c2_1 (a1979))) -> (c3_1 (a1979)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (c2_1 (a1989)) -> (~(c3_1 (a1989))) -> (~(c0_1 (a1989))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> (~(c2_1 (a1990))) -> (c3_1 (a1990)) -> (~(c1_1 (a1990))) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> (~(hskp15)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> False). % 0.77/0.92 do 0 intro. intros zenon_H187 zenon_Hc5 zenon_H186 zenon_H132 zenon_Hb5 zenon_H1f1 zenon_H1f2 zenon_H1f3 zenon_H178 zenon_H89 zenon_H174 zenon_H6c zenon_H2d zenon_H11c zenon_H11b zenon_H11a zenon_H161 zenon_H18b zenon_H10f zenon_H110 zenon_H10e zenon_H3a zenon_H172 zenon_H15a zenon_H4f zenon_H7 zenon_H5 zenon_H9f zenon_H9d zenon_H9b zenon_H12d zenon_Hbc zenon_H131. % 0.77/0.92 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.77/0.92 apply (zenon_L84_); trivial. % 0.77/0.92 apply (zenon_L226_); trivial. % 0.77/0.92 (* end of lemma zenon_L227_ *) % 0.77/0.92 assert (zenon_L228_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((hskp4)\/(hskp27))) -> (~(hskp13)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> (~(c1_1 (a1990))) -> (c3_1 (a1990)) -> (~(c2_1 (a1990))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (~(c0_1 (a1989))) -> (~(c3_1 (a1989))) -> (c2_1 (a1989)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp14)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> (c3_1 (a1979)) -> (~(c2_1 (a1979))) -> (~(c0_1 (a1979))) -> (~(hskp1)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> False). % 0.77/0.92 do 0 intro. intros zenon_H18d zenon_H52 zenon_H15 zenon_H127 zenon_H50 zenon_H131 zenon_Hbc zenon_H12d zenon_H9b zenon_H9d zenon_H9f zenon_H7 zenon_H4f zenon_H15a zenon_H172 zenon_H3a zenon_H10e zenon_H110 zenon_H10f zenon_H18b zenon_H161 zenon_H11a zenon_H11b zenon_H11c zenon_H2d zenon_H6c zenon_H174 zenon_H89 zenon_H178 zenon_H1f3 zenon_H1f2 zenon_H1f1 zenon_Hb5 zenon_H132 zenon_H186 zenon_Hc5 zenon_H187. % 0.77/0.92 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.77/0.92 apply (zenon_L227_); trivial. % 0.77/0.92 apply (zenon_L192_); trivial. % 0.77/0.92 (* end of lemma zenon_L228_ *) % 0.77/0.92 assert (zenon_L229_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9)))))))) -> (c3_1 (a1979)) -> (~(c2_1 (a1979))) -> (~(c0_1 (a1979))) -> (c0_1 (a1996)) -> (c3_1 (a1996)) -> (~(c2_1 (a1996))) -> (forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))) -> (ndr1_0) -> (~(c2_1 (a2014))) -> (c0_1 (a2014)) -> (c1_1 (a2014)) -> False). % 0.77/0.92 do 0 intro. intros zenon_H204 zenon_H1f3 zenon_H1f2 zenon_H1f1 zenon_H13f zenon_H137 zenon_H135 zenon_H134 zenon_Ha zenon_Hac zenon_Had zenon_Hae. % 0.77/0.92 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H59 | zenon_intro zenon_H205 ]. % 0.77/0.92 apply (zenon_L209_); trivial. % 0.77/0.92 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H13e | zenon_intro zenon_Hab ]. % 0.77/0.92 apply (zenon_L88_); trivial. % 0.77/0.92 apply (zenon_L46_); trivial. % 0.77/0.92 (* end of lemma zenon_L229_ *) % 0.77/0.92 assert (zenon_L230_ : ((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9)))))))) -> (c1_1 (a1985)) -> (~(c3_1 (a1985))) -> (~(c0_1 (a1985))) -> (c3_1 (a1979)) -> (~(c2_1 (a1979))) -> (~(c0_1 (a1979))) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> False). % 0.77/0.92 do 0 intro. intros zenon_H188 zenon_Hbc zenon_H15a zenon_H204 zenon_H193 zenon_H192 zenon_H191 zenon_H1f3 zenon_H1f2 zenon_H1f1 zenon_H9b zenon_H9d zenon_H9f. % 0.77/0.92 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Ha. zenon_intro zenon_H189. % 0.77/0.92 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H13f. zenon_intro zenon_H18a. % 0.77/0.92 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.77/0.92 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb7 ]. % 0.77/0.92 apply (zenon_L44_); trivial. % 0.77/0.92 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Ha. zenon_intro zenon_Hb9. % 0.77/0.92 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Had. zenon_intro zenon_Hba. % 0.77/0.92 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Hae. zenon_intro zenon_Hac. % 0.77/0.92 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H59 | zenon_intro zenon_H15b ]. % 0.77/0.92 apply (zenon_L209_); trivial. % 0.77/0.92 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1c | zenon_intro zenon_H134 ]. % 0.77/0.92 apply (zenon_L131_); trivial. % 0.77/0.92 apply (zenon_L229_); trivial. % 0.77/0.92 (* end of lemma zenon_L230_ *) % 0.77/0.92 assert (zenon_L231_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9)))))))) -> (c1_1 (a1985)) -> (~(c3_1 (a1985))) -> (~(c0_1 (a1985))) -> (c3_1 (a1979)) -> (~(c2_1 (a1979))) -> (~(c0_1 (a1979))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> (~(hskp15)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> False). % 0.77/0.92 do 0 intro. intros zenon_H187 zenon_H15a zenon_H204 zenon_H193 zenon_H192 zenon_H191 zenon_H1f3 zenon_H1f2 zenon_H1f1 zenon_H7 zenon_H5 zenon_H9f zenon_H9d zenon_H9b zenon_H12d zenon_Hbc zenon_H131. % 0.77/0.92 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.77/0.92 apply (zenon_L84_); trivial. % 0.77/0.92 apply (zenon_L230_); trivial. % 0.77/0.92 (* end of lemma zenon_L231_ *) % 0.77/0.92 assert (zenon_L232_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> (~(hskp11)) -> (~(hskp4)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((hskp4)\/(hskp27))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> (~(c0_1 (a1979))) -> (~(c2_1 (a1979))) -> (c3_1 (a1979)) -> (~(c0_1 (a1985))) -> (~(c3_1 (a1985))) -> (c1_1 (a1985)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> False). % 0.77/0.92 do 0 intro. intros zenon_H18d zenon_H50 zenon_H4b zenon_H48 zenon_H3a zenon_H52 zenon_H131 zenon_Hbc zenon_H12d zenon_H9b zenon_H9d zenon_H9f zenon_H7 zenon_H1f1 zenon_H1f2 zenon_H1f3 zenon_H191 zenon_H192 zenon_H193 zenon_H204 zenon_H15a zenon_H187. % 0.77/0.92 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.77/0.92 apply (zenon_L231_); trivial. % 0.77/0.92 apply (zenon_L96_); trivial. % 0.77/0.92 (* end of lemma zenon_L232_ *) % 0.77/0.92 assert (zenon_L233_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((hskp4)\/(hskp27))) -> (~(hskp4)) -> (~(c0_1 (a1989))) -> (~(c3_1 (a1989))) -> (c2_1 (a1989)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp13)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> (~(c0_1 (a1979))) -> (~(c2_1 (a1979))) -> (c3_1 (a1979)) -> (~(c0_1 (a1985))) -> (~(c3_1 (a1985))) -> (c1_1 (a1985)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> False). % 0.77/0.92 do 0 intro. intros zenon_H18d zenon_Hc5 zenon_H52 zenon_H3a zenon_H11a zenon_H11b zenon_H11c zenon_H2d zenon_H15 zenon_H127 zenon_H50 zenon_H131 zenon_Hbc zenon_H12d zenon_H9b zenon_H9d zenon_H9f zenon_H7 zenon_H1f1 zenon_H1f2 zenon_H1f3 zenon_H191 zenon_H192 zenon_H193 zenon_H204 zenon_H15a zenon_H187. % 0.77/0.92 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.77/0.92 apply (zenon_L231_); trivial. % 0.77/0.92 apply (zenon_L192_); trivial. % 0.77/0.92 (* end of lemma zenon_L233_ *) % 0.77/0.92 assert (zenon_L234_ : ((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a1985)) -> (~(c3_1 (a1985))) -> (~(c0_1 (a1985))) -> (~(c0_1 (a1979))) -> (~(c2_1 (a1979))) -> (c3_1 (a1979)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> False). % 0.77/0.92 do 0 intro. intros zenon_Hc1 zenon_Hbc zenon_H186 zenon_H1d6 zenon_H193 zenon_H192 zenon_H191 zenon_H1f1 zenon_H1f2 zenon_H1f3 zenon_H178 zenon_H9b zenon_H9d zenon_H9f. % 0.77/0.92 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2. % 0.77/0.92 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc3. % 0.77/0.92 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.77/0.92 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb7 ]. % 0.77/0.92 apply (zenon_L44_); trivial. % 0.77/0.92 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Ha. zenon_intro zenon_Hb9. % 0.77/0.92 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Had. zenon_intro zenon_Hba. % 0.77/0.92 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Hae. zenon_intro zenon_Hac. % 0.77/0.92 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H176 | zenon_intro zenon_H183 ]. % 0.77/0.92 apply (zenon_L215_); trivial. % 0.77/0.92 apply (zenon_L201_); trivial. % 0.77/0.92 (* end of lemma zenon_L234_ *) % 0.77/0.92 assert (zenon_L235_ : ((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a1985)) -> (~(c3_1 (a1985))) -> (~(c0_1 (a1985))) -> (~(c0_1 (a1979))) -> (~(c2_1 (a1979))) -> (c3_1 (a1979)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> False). % 0.77/0.92 do 0 intro. intros zenon_Hfc zenon_Hc5 zenon_Hbc zenon_H186 zenon_H1d6 zenon_H193 zenon_H192 zenon_H191 zenon_H1f1 zenon_H1f2 zenon_H1f3 zenon_H178 zenon_H9b zenon_H9d zenon_H9f zenon_H3a zenon_H172. % 0.77/0.92 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Ha. zenon_intro zenon_Hfd. % 0.77/0.92 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hf0. zenon_intro zenon_Hfe. % 0.77/0.92 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hf1. zenon_intro zenon_Hef. % 0.77/0.92 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.77/0.92 apply (zenon_L127_); trivial. % 0.77/0.92 apply (zenon_L234_); trivial. % 0.77/0.92 (* end of lemma zenon_L235_ *) % 0.77/0.92 assert (zenon_L236_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a1989))/\((~(c0_1 (a1989)))/\(~(c3_1 (a1989))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a1983)) -> (~(c1_1 (a1983))) -> (~(c0_1 (a1983))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((hskp1)\/(hskp10))) -> (~(hskp10)) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> (ndr1_0) -> (~(c0_1 (a1979))) -> (~(c2_1 (a1979))) -> (c3_1 (a1979)) -> (~(hskp9)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp9)\/(hskp11))) -> False). % 0.77/0.92 do 0 intro. intros zenon_H1a8 zenon_Hff zenon_H1a6 zenon_H9b zenon_H19d zenon_H19c zenon_H19b zenon_H186 zenon_H2d zenon_H117 zenon_H6e zenon_Hb5 zenon_H178 zenon_H127 zenon_Hc5 zenon_Ha zenon_H1f1 zenon_H1f2 zenon_H1f3 zenon_H65 zenon_H67. % 0.77/0.92 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.77/0.92 apply (zenon_L210_); trivial. % 0.77/0.92 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.77/0.92 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H11c. zenon_intro zenon_H190. % 0.77/0.92 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H11a. zenon_intro zenon_H11b. % 0.77/0.92 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.77/0.92 apply (zenon_L214_); trivial. % 0.77/0.92 apply (zenon_L150_); trivial. % 0.77/0.92 (* end of lemma zenon_L236_ *) % 0.77/0.92 assert (zenon_L237_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> (c3_1 (a1979)) -> (~(c2_1 (a1979))) -> (~(c0_1 (a1979))) -> (c3_1 (a2001)) -> (c2_1 (a2001)) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12)))))) -> (~(c0_1 (a2001))) -> (ndr1_0) -> (~(hskp29)) -> False). % 0.77/0.92 do 0 intro. intros zenon_H178 zenon_H1f3 zenon_H1f2 zenon_H1f1 zenon_He zenon_Hd zenon_H2f zenon_Hc zenon_Ha zenon_H176. % 0.77/0.92 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H59 | zenon_intro zenon_H179 ]. % 0.77/0.92 apply (zenon_L209_); trivial. % 0.77/0.92 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H2e | zenon_intro zenon_H177 ]. % 0.77/0.92 apply (zenon_L13_); trivial. % 0.77/0.92 exact (zenon_H176 zenon_H177). % 0.77/0.92 (* end of lemma zenon_L237_ *) % 0.77/0.92 assert (zenon_L238_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp27))) -> (c3_1 (a1983)) -> (~(c1_1 (a1983))) -> (~(c0_1 (a1983))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> (c3_1 (a2001)) -> (c2_1 (a2001)) -> (~(c0_1 (a2001))) -> (c3_1 (a1979)) -> (~(c2_1 (a1979))) -> (~(c0_1 (a1979))) -> (ndr1_0) -> (~(hskp4)) -> (~(hskp27)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((hskp4)\/(hskp27))) -> False). % 0.77/0.92 do 0 intro. intros zenon_H186 zenon_H1a6 zenon_H9b zenon_H145 zenon_H146 zenon_H147 zenon_H1b1 zenon_H19d zenon_H19c zenon_H19b zenon_H178 zenon_He zenon_Hd zenon_Hc zenon_H1f3 zenon_H1f2 zenon_H1f1 zenon_Ha zenon_H3a zenon_H3c zenon_H52. % 0.77/0.92 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H176 | zenon_intro zenon_H183 ]. % 0.77/0.92 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H2f | zenon_intro zenon_H56 ]. % 0.77/0.92 apply (zenon_L237_); trivial. % 0.77/0.92 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H3b | zenon_intro zenon_H3d ]. % 0.77/0.92 exact (zenon_H3a zenon_H3b). % 0.77/0.92 exact (zenon_H3c zenon_H3d). % 0.77/0.92 apply (zenon_L157_); trivial. % 0.77/0.92 (* end of lemma zenon_L238_ *) % 0.77/0.92 assert (zenon_L239_ : ((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a1998))) -> (c1_1 (a1998)) -> (c3_1 (a1998)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (c3_1 (a1983)) -> (~(c1_1 (a1983))) -> (~(c0_1 (a1983))) -> (~(hskp13)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((hskp13)\/(hskp20))) -> False). % 0.77/0.92 do 0 intro. intros zenon_H12e zenon_H4f zenon_H1a6 zenon_H9b zenon_H58 zenon_Hc4 zenon_H5a zenon_H127 zenon_H19d zenon_H19c zenon_H19b zenon_H15 zenon_H19. % 0.77/0.92 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Ha. zenon_intro zenon_H12f. % 0.77/0.92 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_Hd. zenon_intro zenon_H130. % 0.77/0.92 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.77/0.92 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H17 | zenon_intro zenon_H53 ]. % 0.77/0.92 apply (zenon_L9_); trivial. % 0.77/0.92 apply (zenon_L149_); trivial. % 0.77/0.92 (* end of lemma zenon_L239_ *) % 0.77/0.92 assert (zenon_L240_ : ((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (c3_1 (a1983)) -> (~(c1_1 (a1983))) -> (~(c0_1 (a1983))) -> (~(hskp13)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((hskp13)\/(hskp20))) -> (~(hskp16)) -> (~(hskp15)) -> ((hskp16)\/((hskp19)\/(hskp15))) -> False). % 0.77/0.92 do 0 intro. intros zenon_Hc1 zenon_H131 zenon_H4f zenon_H1a6 zenon_H9b zenon_H127 zenon_H19d zenon_H19c zenon_H19b zenon_H15 zenon_H19 zenon_H1 zenon_H5 zenon_H7. % 0.77/0.92 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2. % 0.77/0.92 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc3. % 0.77/0.92 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.77/0.92 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H3 | zenon_intro zenon_H12e ]. % 0.77/0.92 apply (zenon_L4_); trivial. % 0.77/0.92 apply (zenon_L239_); trivial. % 0.77/0.92 (* end of lemma zenon_L240_ *) % 0.77/0.92 assert (zenon_L241_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((hskp13)\/(hskp20))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> (~(hskp15)) -> (~(hskp16)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp27))) -> (c3_1 (a1983)) -> (~(c1_1 (a1983))) -> (~(c0_1 (a1983))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> (c3_1 (a1979)) -> (~(c2_1 (a1979))) -> (~(c0_1 (a1979))) -> (~(hskp4)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((hskp4)\/(hskp27))) -> (~(c0_1 (a1989))) -> (~(c3_1 (a1989))) -> (c2_1 (a1989)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp13)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> False). % 0.77/0.92 do 0 intro. intros zenon_Hc5 zenon_H4f zenon_H19 zenon_H7 zenon_H5 zenon_H1 zenon_H186 zenon_H1a6 zenon_H9b zenon_H145 zenon_H146 zenon_H147 zenon_H1b1 zenon_H19d zenon_H19c zenon_H19b zenon_H178 zenon_H1f3 zenon_H1f2 zenon_H1f1 zenon_H3a zenon_H52 zenon_H11a zenon_H11b zenon_H11c zenon_H2d zenon_H15 zenon_H127 zenon_H50 zenon_H131. % 0.77/0.92 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.77/0.92 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H3 | zenon_intro zenon_H12e ]. % 0.77/0.92 apply (zenon_L4_); trivial. % 0.77/0.92 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Ha. zenon_intro zenon_H12f. % 0.77/0.92 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_Hd. zenon_intro zenon_H130. % 0.77/0.92 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.77/0.92 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H3c | zenon_intro zenon_H4a ]. % 0.77/0.92 apply (zenon_L238_); trivial. % 0.77/0.92 apply (zenon_L190_); trivial. % 0.77/0.92 apply (zenon_L240_); trivial. % 0.77/0.92 (* end of lemma zenon_L241_ *) % 0.77/0.92 assert (zenon_L242_ : ((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> (c3_1 (a1983)) -> (~(c1_1 (a1983))) -> (~(c0_1 (a1983))) -> (~(hskp14)) -> (~(c2_1 (a1996))) -> (c3_1 (a1996)) -> (c0_1 (a1996)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp17)) -> (~(c0_1 (a1979))) -> (~(c2_1 (a1979))) -> (c3_1 (a1979)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> (~(hskp5)) -> False). % 0.77/0.92 do 0 intro. intros zenon_H53 zenon_H1a6 zenon_H19d zenon_H19c zenon_H19b zenon_H6c zenon_H135 zenon_H137 zenon_H13f zenon_H174 zenon_H2d zenon_H2b zenon_H1f1 zenon_H1f2 zenon_H1f3 zenon_H15a zenon_H9b. % 0.77/0.92 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_Ha. zenon_intro zenon_H54. % 0.77/0.92 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H1e. zenon_intro zenon_H55. % 0.77/0.92 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H1f. zenon_intro zenon_H1d. % 0.77/0.92 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H19a | zenon_intro zenon_H1a7 ]. % 0.77/0.92 apply (zenon_L145_); trivial. % 0.77/0.92 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H9c ]. % 0.77/0.92 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H59 | zenon_intro zenon_H15b ]. % 0.77/0.92 apply (zenon_L209_); trivial. % 0.77/0.92 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1c | zenon_intro zenon_H134 ]. % 0.77/0.92 apply (zenon_L12_); trivial. % 0.77/0.92 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H119 | zenon_intro zenon_H175 ]. % 0.77/0.92 apply (zenon_L107_); trivial. % 0.77/0.92 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H79 | zenon_intro zenon_H6d ]. % 0.77/0.92 apply (zenon_L220_); trivial. % 0.77/0.92 exact (zenon_H6c zenon_H6d). % 0.77/0.92 exact (zenon_H9b zenon_H9c). % 0.77/0.92 (* end of lemma zenon_L242_ *) % 0.77/0.92 assert (zenon_L243_ : ((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp13)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (c2_1 (a1989)) -> (~(c3_1 (a1989))) -> (~(c0_1 (a1989))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (~(hskp5)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> (~(c0_1 (a1983))) -> (~(c1_1 (a1983))) -> (c3_1 (a1983)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> (c3_1 (a1979)) -> (~(c2_1 (a1979))) -> (~(c0_1 (a1979))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> False). % 0.77/0.92 do 0 intro. intros zenon_H188 zenon_Hc5 zenon_H127 zenon_H15 zenon_H89 zenon_H174 zenon_H6c zenon_H2d zenon_H11c zenon_H11b zenon_H11a zenon_H161 zenon_H9b zenon_H18b zenon_H19b zenon_H19c zenon_H19d zenon_H15a zenon_H1f3 zenon_H1f2 zenon_H1f1 zenon_H1a6 zenon_H4f. % 0.77/0.92 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Ha. zenon_intro zenon_H189. % 0.77/0.92 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H13f. zenon_intro zenon_H18a. % 0.77/0.92 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.77/0.92 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.77/0.92 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H17 | zenon_intro zenon_H53 ]. % 0.77/0.92 apply (zenon_L219_); trivial. % 0.77/0.92 apply (zenon_L242_); trivial. % 0.77/0.92 apply (zenon_L77_); trivial. % 0.77/0.92 (* end of lemma zenon_L243_ *) % 0.77/0.92 assert (zenon_L244_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((hskp13)\/(hskp20))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp27))) -> (c3_1 (a1983)) -> (~(c1_1 (a1983))) -> (~(c0_1 (a1983))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> (c3_1 (a1979)) -> (~(c2_1 (a1979))) -> (~(c0_1 (a1979))) -> (~(hskp4)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((hskp4)\/(hskp27))) -> (~(c0_1 (a1989))) -> (~(c3_1 (a1989))) -> (c2_1 (a1989)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp13)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (~(hskp14)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> False). % 0.77/0.92 do 0 intro. intros zenon_H18d zenon_Hc5 zenon_H4f zenon_H19 zenon_H7 zenon_H186 zenon_H1a6 zenon_H9b zenon_H145 zenon_H146 zenon_H147 zenon_H1b1 zenon_H19d zenon_H19c zenon_H19b zenon_H178 zenon_H1f3 zenon_H1f2 zenon_H1f1 zenon_H3a zenon_H52 zenon_H11a zenon_H11b zenon_H11c zenon_H2d zenon_H15 zenon_H127 zenon_H50 zenon_H131 zenon_H15a zenon_H18b zenon_H161 zenon_H6c zenon_H174 zenon_H89 zenon_H187. % 0.77/0.92 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.77/0.92 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.77/0.92 apply (zenon_L241_); trivial. % 0.77/0.92 apply (zenon_L243_); trivial. % 0.77/0.92 apply (zenon_L192_); trivial. % 0.77/0.92 (* end of lemma zenon_L244_ *) % 0.77/0.92 assert (zenon_L245_ : ((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> (c3_1 (a1983)) -> (~(c1_1 (a1983))) -> (~(c0_1 (a1983))) -> (~(hskp7)) -> (~(c0_1 (a1992))) -> (~(c2_1 (a1992))) -> (c1_1 (a1992)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/(hskp7))) -> (~(hskp5)) -> False). % 0.77/0.92 do 0 intro. intros zenon_H53 zenon_H1a6 zenon_H19d zenon_H19c zenon_H19b zenon_He7 zenon_Hc7 zenon_Hc8 zenon_Hc9 zenon_Hea zenon_H9b. % 0.77/0.92 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_Ha. zenon_intro zenon_H54. % 0.77/0.92 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H1e. zenon_intro zenon_H55. % 0.77/0.92 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H1f. zenon_intro zenon_H1d. % 0.77/0.92 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H19a | zenon_intro zenon_H1a7 ]. % 0.77/0.92 apply (zenon_L145_); trivial. % 0.77/0.92 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H9c ]. % 0.77/0.92 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hed ]. % 0.77/0.92 apply (zenon_L54_); trivial. % 0.77/0.92 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He8 ]. % 0.77/0.92 apply (zenon_L57_); trivial. % 0.77/0.92 exact (zenon_He7 zenon_He8). % 0.77/0.92 exact (zenon_H9b zenon_H9c). % 0.77/0.92 (* end of lemma zenon_L245_ *) % 0.77/0.92 assert (zenon_L246_ : ((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> (~(hskp4)) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (c3_1 (a1979)) -> (~(c2_1 (a1979))) -> (~(c0_1 (a1979))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (~(hskp5)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> (~(c0_1 (a1983))) -> (~(c1_1 (a1983))) -> (c3_1 (a1983)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> (c1_1 (a1992)) -> (~(c2_1 (a1992))) -> (~(c0_1 (a1992))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> False). % 0.77/0.92 do 0 intro. intros zenon_H188 zenon_Hc5 zenon_H186 zenon_H132 zenon_H3a zenon_Hb5 zenon_H178 zenon_H89 zenon_H16d zenon_H65 zenon_H145 zenon_H146 zenon_H147 zenon_H2d zenon_H157 zenon_H1f3 zenon_H1f2 zenon_H1f1 zenon_H161 zenon_H9b zenon_H18b zenon_H19b zenon_H19c zenon_H19d zenon_Hea zenon_He7 zenon_Hc9 zenon_Hc8 zenon_Hc7 zenon_H1a6 zenon_H4f. % 0.77/0.92 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Ha. zenon_intro zenon_H189. % 0.77/0.92 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H13f. zenon_intro zenon_H18a. % 0.77/0.92 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.77/0.92 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.77/0.92 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H17 | zenon_intro zenon_H53 ]. % 0.77/0.92 apply (zenon_L224_); trivial. % 0.77/0.92 apply (zenon_L245_); trivial. % 0.77/0.92 apply (zenon_L216_); trivial. % 0.77/0.92 (* end of lemma zenon_L246_ *) % 0.77/0.92 assert (zenon_L247_ : ((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (c2_1 (a1989)) -> (~(c3_1 (a1989))) -> (~(c0_1 (a1989))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> (c1_1 (a1992)) -> (~(c2_1 (a1992))) -> (~(c0_1 (a1992))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> (~(hskp5)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(c2_1 (a1990))) -> (c3_1 (a1990)) -> (~(c1_1 (a1990))) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (~(hskp9)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((hskp13)\/(hskp20))) -> (~(hskp13)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> False). % 0.77/0.92 do 0 intro. intros zenon_H188 zenon_Hc5 zenon_H127 zenon_H11c zenon_H11b zenon_H11a zenon_H4f zenon_Hea zenon_He7 zenon_H3a zenon_H172 zenon_Hc9 zenon_Hc8 zenon_Hc7 zenon_H18b zenon_H9b zenon_H161 zenon_H156 zenon_H10f zenon_H110 zenon_H10e zenon_H145 zenon_H146 zenon_H147 zenon_H2d zenon_H157 zenon_H65 zenon_H16d zenon_H89 zenon_H19 zenon_H15 zenon_H131. % 0.77/0.92 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Ha. zenon_intro zenon_H189. % 0.77/0.92 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H13f. zenon_intro zenon_H18a. % 0.77/0.92 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.77/0.92 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.77/0.92 apply (zenon_L124_); trivial. % 0.77/0.92 apply (zenon_L77_); trivial. % 0.77/0.92 (* end of lemma zenon_L247_ *) % 0.77/0.92 assert (zenon_L248_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (ndr1_0) -> (~(c0_1 (a1979))) -> (~(c2_1 (a1979))) -> (c3_1 (a1979)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((hskp1)\/(hskp10))) -> (~(hskp10)) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> (~(c0_1 (a1985))) -> (~(c3_1 (a1985))) -> (c1_1 (a1985)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> False). % 0.77/0.92 do 0 intro. intros zenon_H12c zenon_H186 zenon_H2d zenon_Ha zenon_H1f1 zenon_H1f2 zenon_H1f3 zenon_H117 zenon_H6e zenon_Hb5 zenon_H178 zenon_H191 zenon_H192 zenon_H193 zenon_H51 zenon_Hc5. % 0.77/0.92 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.77/0.92 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.77/0.92 apply (zenon_L213_); trivial. % 0.77/0.92 apply (zenon_L132_); trivial. % 0.77/0.92 apply (zenon_L80_); trivial. % 0.77/0.92 (* end of lemma zenon_L248_ *) % 0.77/0.92 assert (zenon_L249_ : ((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> (~(hskp11)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((hskp4)\/(hskp27))) -> (~(hskp4)) -> (~(c0_1 (a1979))) -> (~(c2_1 (a1979))) -> (c3_1 (a1979)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> (~(c0_1 (a1983))) -> (~(c1_1 (a1983))) -> (c3_1 (a1983)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp27))) -> (c3_1 (a1987)) -> (c2_1 (a1987)) -> (~(c1_1 (a1987))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> False). % 0.77/0.92 do 0 intro. intros zenon_H12e zenon_H50 zenon_H4b zenon_H48 zenon_H52 zenon_H3a zenon_H1f1 zenon_H1f2 zenon_H1f3 zenon_H178 zenon_H19b zenon_H19c zenon_H19d zenon_H1b1 zenon_H147 zenon_H146 zenon_H145 zenon_H9b zenon_H1a6 zenon_H186. % 0.77/0.92 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Ha. zenon_intro zenon_H12f. % 0.77/0.92 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_Hd. zenon_intro zenon_H130. % 0.77/0.92 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.77/0.92 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H3c | zenon_intro zenon_H4a ]. % 0.77/0.92 apply (zenon_L238_); trivial. % 0.77/0.92 apply (zenon_L19_); trivial. % 0.77/0.92 (* end of lemma zenon_L249_ *) % 0.77/0.92 assert (zenon_L250_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> (~(hskp11)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((hskp4)\/(hskp27))) -> (~(hskp4)) -> (~(c0_1 (a1979))) -> (~(c2_1 (a1979))) -> (c3_1 (a1979)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> (~(c0_1 (a1983))) -> (~(c1_1 (a1983))) -> (c3_1 (a1983)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp27))) -> (c3_1 (a1987)) -> (c2_1 (a1987)) -> (~(c1_1 (a1987))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> (~(hskp16)) -> (~(hskp15)) -> ((hskp16)\/((hskp19)\/(hskp15))) -> False). % 0.77/0.92 do 0 intro. intros zenon_H131 zenon_H50 zenon_H4b zenon_H48 zenon_H52 zenon_H3a zenon_H1f1 zenon_H1f2 zenon_H1f3 zenon_H178 zenon_H19b zenon_H19c zenon_H19d zenon_H1b1 zenon_H147 zenon_H146 zenon_H145 zenon_H9b zenon_H1a6 zenon_H186 zenon_H1 zenon_H5 zenon_H7. % 0.77/0.92 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H3 | zenon_intro zenon_H12e ]. % 0.77/0.92 apply (zenon_L4_); trivial. % 0.77/0.92 apply (zenon_L249_); trivial. % 0.77/0.92 (* end of lemma zenon_L250_ *) % 0.77/0.92 assert (zenon_L251_ : ((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> (c3_1 (a1979)) -> (~(c2_1 (a1979))) -> (~(c0_1 (a1979))) -> (c1_1 (a1985)) -> (~(c3_1 (a1985))) -> (~(c0_1 (a1985))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (c3_1 (a1987)) -> (c2_1 (a1987)) -> (~(c1_1 (a1987))) -> (~(c2_1 (a1996))) -> (c3_1 (a1996)) -> (c0_1 (a1996)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (~(hskp4)) -> (~(hskp1)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> (~(hskp19)) -> False). % 0.77/0.92 do 0 intro. intros zenon_H8b zenon_H15a zenon_H1f3 zenon_H1f2 zenon_H1f1 zenon_H193 zenon_H192 zenon_H191 zenon_H156 zenon_H147 zenon_H146 zenon_H145 zenon_H135 zenon_H137 zenon_H13f zenon_H157 zenon_H3a zenon_Hb5 zenon_H132 zenon_H3. % 0.77/0.92 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Ha. zenon_intro zenon_H8c. % 0.77/0.92 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H78. zenon_intro zenon_H8d. % 0.77/0.92 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.77/0.92 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H59 | zenon_intro zenon_H15b ]. % 0.77/0.92 apply (zenon_L209_); trivial. % 0.77/0.92 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1c | zenon_intro zenon_H134 ]. % 0.77/0.92 apply (zenon_L131_); trivial. % 0.77/0.92 apply (zenon_L92_); trivial. % 0.77/0.92 (* end of lemma zenon_L251_ *) % 0.77/0.92 assert (zenon_L252_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (c3_1 (a1987)) -> (c2_1 (a1987)) -> (~(c1_1 (a1987))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> (~(hskp4)) -> (~(hskp1)) -> (~(hskp19)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (c1_1 (a1985)) -> (~(c3_1 (a1985))) -> (~(c0_1 (a1985))) -> (c3_1 (a1979)) -> (~(c2_1 (a1979))) -> (~(c0_1 (a1979))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (~(hskp20)) -> (c0_1 (a1996)) -> (c3_1 (a1996)) -> (~(c2_1 (a1996))) -> (ndr1_0) -> (~(hskp5)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> False). % 0.77/0.92 do 0 intro. intros zenon_H89 zenon_H15a zenon_H157 zenon_H147 zenon_H146 zenon_H145 zenon_H132 zenon_H3a zenon_Hb5 zenon_H3 zenon_H156 zenon_H193 zenon_H192 zenon_H191 zenon_H1f3 zenon_H1f2 zenon_H1f1 zenon_H161 zenon_H17 zenon_H13f zenon_H137 zenon_H135 zenon_Ha zenon_H9b zenon_H18b. % 0.77/0.92 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H72 | zenon_intro zenon_H8b ]. % 0.77/0.92 apply (zenon_L118_); trivial. % 0.77/0.92 apply (zenon_L251_); trivial. % 0.77/0.92 (* end of lemma zenon_L252_ *) % 0.77/0.92 assert (zenon_L253_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp17)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> (~(hskp14)) -> (c3_1 (a1983)) -> (~(c1_1 (a1983))) -> (~(c0_1 (a1983))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> (~(hskp5)) -> (ndr1_0) -> (~(c2_1 (a1996))) -> (c3_1 (a1996)) -> (c0_1 (a1996)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (~(c0_1 (a1979))) -> (~(c2_1 (a1979))) -> (c3_1 (a1979)) -> (~(c0_1 (a1985))) -> (~(c3_1 (a1985))) -> (c1_1 (a1985)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(hskp19)) -> (~(hskp1)) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> False). % 0.77/0.92 do 0 intro. intros zenon_H4f zenon_H1a6 zenon_H2d zenon_H2b zenon_H174 zenon_H6c zenon_H19d zenon_H19c zenon_H19b zenon_H18b zenon_H9b zenon_Ha zenon_H135 zenon_H137 zenon_H13f zenon_H161 zenon_H1f1 zenon_H1f2 zenon_H1f3 zenon_H191 zenon_H192 zenon_H193 zenon_H156 zenon_H3 zenon_Hb5 zenon_H3a zenon_H132 zenon_H145 zenon_H146 zenon_H147 zenon_H157 zenon_H15a zenon_H89. % 0.77/0.92 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H17 | zenon_intro zenon_H53 ]. % 0.77/0.92 apply (zenon_L252_); trivial. % 0.77/0.92 apply (zenon_L242_); trivial. % 0.77/0.92 (* end of lemma zenon_L253_ *) % 0.77/0.92 assert (zenon_L254_ : ((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> (~(hskp11)) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> (c3_1 (a1979)) -> (~(c2_1 (a1979))) -> (~(c0_1 (a1979))) -> (~(c0_1 (a1983))) -> (~(c1_1 (a1983))) -> (c3_1 (a1983)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp27))) -> (c3_1 (a1987)) -> (c2_1 (a1987)) -> (~(c1_1 (a1987))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> False). % 0.77/0.92 do 0 intro. intros zenon_Hc1 zenon_H50 zenon_H4b zenon_H48 zenon_H3a zenon_H178 zenon_H1f3 zenon_H1f2 zenon_H1f1 zenon_H19b zenon_H19c zenon_H19d zenon_H1b1 zenon_H147 zenon_H146 zenon_H145 zenon_H9b zenon_H1a6 zenon_H186. % 0.77/0.92 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2. % 0.77/0.92 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc3. % 0.77/0.92 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.77/0.92 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H3c | zenon_intro zenon_H4a ]. % 0.77/0.92 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H176 | zenon_intro zenon_H183 ]. % 0.77/0.92 apply (zenon_L215_); trivial. % 0.77/0.92 apply (zenon_L157_); trivial. % 0.77/0.92 apply (zenon_L19_); trivial. % 0.77/0.92 (* end of lemma zenon_L254_ *) % 0.77/0.92 assert (zenon_L255_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> (~(hskp11)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((hskp4)\/(hskp27))) -> (~(hskp4)) -> (~(c0_1 (a1979))) -> (~(c2_1 (a1979))) -> (c3_1 (a1979)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> (~(c0_1 (a1983))) -> (~(c1_1 (a1983))) -> (c3_1 (a1983)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp27))) -> (c3_1 (a1987)) -> (c2_1 (a1987)) -> (~(c1_1 (a1987))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> (~(hskp1)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (c1_1 (a1985)) -> (~(c3_1 (a1985))) -> (~(c0_1 (a1985))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> (~(hskp14)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> False). % 0.77/0.92 do 0 intro. intros zenon_H18d zenon_H131 zenon_H50 zenon_H4b zenon_H48 zenon_H52 zenon_H3a zenon_H1f1 zenon_H1f2 zenon_H1f3 zenon_H178 zenon_H19b zenon_H19c zenon_H19d zenon_H1b1 zenon_H147 zenon_H146 zenon_H145 zenon_H9b zenon_H1a6 zenon_H186 zenon_H7 zenon_H89 zenon_H15a zenon_H157 zenon_H132 zenon_Hb5 zenon_H156 zenon_H193 zenon_H192 zenon_H191 zenon_H161 zenon_H18b zenon_H6c zenon_H174 zenon_H2d zenon_H4f zenon_Hc5 zenon_H187. % 0.77/0.92 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.77/0.92 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.77/0.92 apply (zenon_L250_); trivial. % 0.77/0.92 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Ha. zenon_intro zenon_H189. % 0.77/0.92 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H13f. zenon_intro zenon_H18a. % 0.77/0.92 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.77/0.92 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.77/0.92 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H3 | zenon_intro zenon_H12e ]. % 0.77/0.92 apply (zenon_L253_); trivial. % 0.77/0.92 apply (zenon_L249_); trivial. % 0.77/0.92 apply (zenon_L254_); trivial. % 0.77/0.92 apply (zenon_L96_); trivial. % 0.77/0.92 (* end of lemma zenon_L255_ *) % 0.77/0.92 assert (zenon_L256_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (c3_1 (a1983)) -> (~(c1_1 (a1983))) -> (~(c0_1 (a1983))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> (~(hskp15)) -> (~(hskp16)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((hskp13)\/(hskp20))) -> (~(hskp13)) -> (~(c0_1 (a1992))) -> (~(c2_1 (a1992))) -> (c1_1 (a1992)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> (~(hskp7)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/(hskp7))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> False). % 0.77/0.92 do 0 intro. intros zenon_Hc5 zenon_H1a6 zenon_H9b zenon_H127 zenon_H19d zenon_H19c zenon_H19b zenon_H7 zenon_H5 zenon_H1 zenon_H19 zenon_H15 zenon_Hc7 zenon_Hc8 zenon_Hc9 zenon_H172 zenon_H3a zenon_He7 zenon_Hea zenon_H4f zenon_H131. % 0.77/0.92 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.77/0.92 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H3 | zenon_intro zenon_H12e ]. % 0.77/0.92 apply (zenon_L4_); trivial. % 0.77/0.92 apply (zenon_L123_); trivial. % 0.77/0.92 apply (zenon_L240_); trivial. % 0.77/0.92 (* end of lemma zenon_L256_ *) % 0.77/0.92 assert (zenon_L257_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> (~(hskp13)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((hskp13)\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (c3_1 (a1987)) -> (c2_1 (a1987)) -> (~(c1_1 (a1987))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> (~(hskp4)) -> (~(hskp1)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (c1_1 (a1985)) -> (~(c3_1 (a1985))) -> (~(c0_1 (a1985))) -> (c3_1 (a1979)) -> (~(c2_1 (a1979))) -> (~(c0_1 (a1979))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (c0_1 (a1996)) -> (c3_1 (a1996)) -> (~(c2_1 (a1996))) -> (ndr1_0) -> (~(hskp5)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> (~(c0_1 (a1992))) -> (~(c2_1 (a1992))) -> (c1_1 (a1992)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> (~(hskp17)) -> (~(hskp7)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/(hskp7))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> False). % 0.77/0.92 do 0 intro. intros zenon_H131 zenon_H15 zenon_H19 zenon_H89 zenon_H15a zenon_H157 zenon_H147 zenon_H146 zenon_H145 zenon_H132 zenon_H3a zenon_Hb5 zenon_H156 zenon_H193 zenon_H192 zenon_H191 zenon_H1f3 zenon_H1f2 zenon_H1f1 zenon_H161 zenon_H13f zenon_H137 zenon_H135 zenon_Ha zenon_H9b zenon_H18b zenon_Hc7 zenon_Hc8 zenon_Hc9 zenon_H172 zenon_H2b zenon_He7 zenon_Hea zenon_H4f. % 0.77/0.92 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H3 | zenon_intro zenon_H12e ]. % 0.77/0.92 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H17 | zenon_intro zenon_H53 ]. % 0.77/0.92 apply (zenon_L252_); trivial. % 0.77/0.92 apply (zenon_L121_); trivial. % 0.77/0.92 apply (zenon_L123_); trivial. % 0.77/0.92 (* end of lemma zenon_L257_ *) % 0.77/0.92 assert (zenon_L258_ : ((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> (~(hskp11)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> (~(c0_1 (a1983))) -> (~(c1_1 (a1983))) -> (c3_1 (a1983)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> (c1_1 (a1992)) -> (~(c2_1 (a1992))) -> (~(c0_1 (a1992))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> (~(hskp5)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (~(c0_1 (a1979))) -> (~(c2_1 (a1979))) -> (c3_1 (a1979)) -> (~(c0_1 (a1985))) -> (~(c3_1 (a1985))) -> (c1_1 (a1985)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(hskp1)) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((hskp13)\/(hskp20))) -> (~(hskp13)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> False). % 0.77/0.92 do 0 intro. intros zenon_H188 zenon_Hc5 zenon_H50 zenon_H4b zenon_H48 zenon_H178 zenon_H19b zenon_H19c zenon_H19d zenon_H1b1 zenon_H1a6 zenon_H186 zenon_H4f zenon_Hea zenon_He7 zenon_H172 zenon_Hc9 zenon_Hc8 zenon_Hc7 zenon_H18b zenon_H9b zenon_H161 zenon_H1f1 zenon_H1f2 zenon_H1f3 zenon_H191 zenon_H192 zenon_H193 zenon_H156 zenon_Hb5 zenon_H3a zenon_H132 zenon_H145 zenon_H146 zenon_H147 zenon_H157 zenon_H15a zenon_H89 zenon_H19 zenon_H15 zenon_H131. % 0.77/0.92 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Ha. zenon_intro zenon_H189. % 0.77/0.92 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H13f. zenon_intro zenon_H18a. % 0.77/0.92 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.77/0.92 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.77/0.92 apply (zenon_L257_); trivial. % 0.77/0.92 apply (zenon_L254_); trivial. % 0.77/0.92 (* end of lemma zenon_L258_ *) % 0.77/0.92 assert (zenon_L259_ : ((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> (c3_1 (a1979)) -> (~(c2_1 (a1979))) -> (~(c0_1 (a1979))) -> (c1_1 (a1985)) -> (~(c3_1 (a1985))) -> (~(c0_1 (a1985))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> (c2_1 (a1989)) -> (~(c3_1 (a1989))) -> (~(c0_1 (a1989))) -> (~(hskp14)) -> False). % 0.77/0.92 do 0 intro. intros zenon_H188 zenon_H15a zenon_H1f3 zenon_H1f2 zenon_H1f1 zenon_H193 zenon_H192 zenon_H191 zenon_H174 zenon_H11c zenon_H11b zenon_H11a zenon_H6c. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Ha. zenon_intro zenon_H189. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H13f. zenon_intro zenon_H18a. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H59 | zenon_intro zenon_H15b ]. % 0.78/0.93 apply (zenon_L209_); trivial. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1c | zenon_intro zenon_H134 ]. % 0.78/0.93 apply (zenon_L131_); trivial. % 0.78/0.93 apply (zenon_L221_); trivial. % 0.78/0.93 (* end of lemma zenon_L259_ *) % 0.78/0.93 assert (zenon_L260_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((hskp13)\/(hskp20))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp27))) -> (c3_1 (a1983)) -> (~(c1_1 (a1983))) -> (~(c0_1 (a1983))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> (c3_1 (a1979)) -> (~(c2_1 (a1979))) -> (~(c0_1 (a1979))) -> (~(hskp4)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((hskp4)\/(hskp27))) -> (~(c0_1 (a1989))) -> (~(c3_1 (a1989))) -> (c2_1 (a1989)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp13)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> (~(c0_1 (a1985))) -> (~(c3_1 (a1985))) -> (c1_1 (a1985)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> (~(hskp14)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> False). % 0.78/0.93 do 0 intro. intros zenon_H18d zenon_Hc5 zenon_H4f zenon_H19 zenon_H7 zenon_H186 zenon_H1a6 zenon_H9b zenon_H145 zenon_H146 zenon_H147 zenon_H1b1 zenon_H19d zenon_H19c zenon_H19b zenon_H178 zenon_H1f3 zenon_H1f2 zenon_H1f1 zenon_H3a zenon_H52 zenon_H11a zenon_H11b zenon_H11c zenon_H2d zenon_H15 zenon_H127 zenon_H50 zenon_H131 zenon_H191 zenon_H192 zenon_H193 zenon_H174 zenon_H6c zenon_H15a zenon_H187. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.78/0.93 apply (zenon_L241_); trivial. % 0.78/0.93 apply (zenon_L259_); trivial. % 0.78/0.93 apply (zenon_L192_); trivial. % 0.78/0.93 (* end of lemma zenon_L260_ *) % 0.78/0.93 assert (zenon_L261_ : ((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (c2_1 (a1989)) -> (~(c3_1 (a1989))) -> (~(c0_1 (a1989))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> (c1_1 (a1992)) -> (~(c2_1 (a1992))) -> (~(c0_1 (a1992))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> (~(hskp5)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (~(c0_1 (a1979))) -> (~(c2_1 (a1979))) -> (c3_1 (a1979)) -> (~(c0_1 (a1985))) -> (~(c3_1 (a1985))) -> (c1_1 (a1985)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(hskp1)) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((hskp13)\/(hskp20))) -> (~(hskp13)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> False). % 0.78/0.93 do 0 intro. intros zenon_H188 zenon_Hc5 zenon_H127 zenon_H11c zenon_H11b zenon_H11a zenon_H4f zenon_Hea zenon_He7 zenon_H172 zenon_Hc9 zenon_Hc8 zenon_Hc7 zenon_H18b zenon_H9b zenon_H161 zenon_H1f1 zenon_H1f2 zenon_H1f3 zenon_H191 zenon_H192 zenon_H193 zenon_H156 zenon_Hb5 zenon_H3a zenon_H132 zenon_H145 zenon_H146 zenon_H147 zenon_H157 zenon_H15a zenon_H89 zenon_H19 zenon_H15 zenon_H131. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Ha. zenon_intro zenon_H189. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H13f. zenon_intro zenon_H18a. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.78/0.93 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.93 apply (zenon_L257_); trivial. % 0.78/0.93 apply (zenon_L77_); trivial. % 0.78/0.93 (* end of lemma zenon_L261_ *) % 0.78/0.93 assert (zenon_L262_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> (ndr1_0) -> (c0_1 (a1981)) -> (c1_1 (a1981)) -> (~(c3_1 (a1981))) -> (~(hskp17)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(c0_1 (a1979))) -> (~(c2_1 (a1979))) -> (c3_1 (a1979)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39)))))))) -> (~(hskp29)) -> False). % 0.78/0.93 do 0 intro. intros zenon_H178 zenon_Ha zenon_H1bb zenon_H1bc zenon_H1c8 zenon_H2b zenon_H2d zenon_H1f1 zenon_H1f2 zenon_H1f3 zenon_H1ea zenon_H176. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H59 | zenon_intro zenon_H179 ]. % 0.78/0.93 apply (zenon_L209_); trivial. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H2e | zenon_intro zenon_H177 ]. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H59 | zenon_intro zenon_H1eb ]. % 0.78/0.93 apply (zenon_L209_); trivial. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H10d | zenon_intro zenon_H1ce ]. % 0.78/0.93 apply (zenon_L211_); trivial. % 0.78/0.93 apply (zenon_L187_); trivial. % 0.78/0.93 exact (zenon_H176 zenon_H177). % 0.78/0.93 (* end of lemma zenon_L262_ *) % 0.78/0.93 assert (zenon_L263_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> (ndr1_0) -> (~(c0_1 (a1979))) -> (~(c2_1 (a1979))) -> (c3_1 (a1979)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39)))))))) -> (c0_1 (a1981)) -> (c1_1 (a1981)) -> (~(c3_1 (a1981))) -> (~(hskp17)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> False). % 0.78/0.93 do 0 intro. intros zenon_H186 zenon_Ha zenon_H1f1 zenon_H1f2 zenon_H1f3 zenon_H1ea zenon_H1bb zenon_H1bc zenon_H1c8 zenon_H2b zenon_H2d zenon_H178. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H176 | zenon_intro zenon_H183 ]. % 0.78/0.93 apply (zenon_L262_); trivial. % 0.78/0.93 apply (zenon_L147_); trivial. % 0.78/0.93 (* end of lemma zenon_L263_ *) % 0.78/0.93 assert (zenon_L264_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp13)) -> (c2_1 (a1989)) -> (~(c3_1 (a1989))) -> (~(c0_1 (a1989))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(c3_1 (a1981))) -> (c1_1 (a1981)) -> (c0_1 (a1981)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39)))))))) -> (c3_1 (a1979)) -> (~(c2_1 (a1979))) -> (~(c0_1 (a1979))) -> (ndr1_0) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> False). % 0.78/0.93 do 0 intro. intros zenon_Hc5 zenon_H127 zenon_H15 zenon_H11c zenon_H11b zenon_H11a zenon_H178 zenon_H2d zenon_H1c8 zenon_H1bc zenon_H1bb zenon_H1ea zenon_H1f3 zenon_H1f2 zenon_H1f1 zenon_Ha zenon_H186. % 0.78/0.93 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.93 apply (zenon_L263_); trivial. % 0.78/0.93 apply (zenon_L77_); trivial. % 0.78/0.93 (* end of lemma zenon_L264_ *) % 0.78/0.93 assert (zenon_L265_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp12)\/(hskp0))) -> (~(hskp0)) -> (~(hskp12)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> (ndr1_0) -> (~(c0_1 (a1979))) -> (~(c2_1 (a1979))) -> (c3_1 (a1979)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39)))))))) -> (c0_1 (a1981)) -> (c1_1 (a1981)) -> (~(c3_1 (a1981))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> (~(c0_1 (a1989))) -> (~(c3_1 (a1989))) -> (c2_1 (a1989)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> False). % 0.78/0.93 do 0 intro. intros zenon_Hff zenon_Hfa zenon_Hf8 zenon_H38 zenon_H186 zenon_Ha zenon_H1f1 zenon_H1f2 zenon_H1f3 zenon_H1ea zenon_H1bb zenon_H1bc zenon_H1c8 zenon_H2d zenon_H178 zenon_H11a zenon_H11b zenon_H11c zenon_H127 zenon_Hc5. % 0.78/0.93 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.93 apply (zenon_L264_); trivial. % 0.78/0.93 apply (zenon_L68_); trivial. % 0.78/0.93 (* end of lemma zenon_L265_ *) % 0.78/0.93 assert (zenon_L266_ : ((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> (~(hskp4)) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(c3_1 (a1981))) -> (c1_1 (a1981)) -> (c0_1 (a1981)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39)))))))) -> (c3_1 (a1979)) -> (~(c2_1 (a1979))) -> (~(c0_1 (a1979))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> False). % 0.78/0.93 do 0 intro. intros zenon_H129 zenon_Hc5 zenon_H131 zenon_Hbc zenon_H12d zenon_H9b zenon_H9d zenon_H9f zenon_H156 zenon_H132 zenon_H3a zenon_Hb5 zenon_H178 zenon_H2d zenon_H1c8 zenon_H1bc zenon_H1bb zenon_H1ea zenon_H1f3 zenon_H1f2 zenon_H1f1 zenon_H186. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Ha. zenon_intro zenon_H12a. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H110. zenon_intro zenon_H12b. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.78/0.93 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.93 apply (zenon_L263_); trivial. % 0.78/0.93 apply (zenon_L185_); trivial. % 0.78/0.93 (* end of lemma zenon_L266_ *) % 0.78/0.93 assert (zenon_L267_ : ((ndr1_0)/\((c1_1 (a1985))/\((~(c0_1 (a1985)))/\(~(c3_1 (a1985)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(c3_1 (a1981))) -> (c1_1 (a1981)) -> (c0_1 (a1981)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39)))))))) -> (c3_1 (a1979)) -> (~(c2_1 (a1979))) -> (~(c0_1 (a1979))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> False). % 0.78/0.93 do 0 intro. intros zenon_H1b8 zenon_Hc5 zenon_Hbc zenon_H1d6 zenon_H9b zenon_H9d zenon_H9f zenon_H178 zenon_H2d zenon_H1c8 zenon_H1bc zenon_H1bb zenon_H1ea zenon_H1f3 zenon_H1f2 zenon_H1f1 zenon_H186. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha. zenon_intro zenon_H1b9. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H193. zenon_intro zenon_H1ba. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H191. zenon_intro zenon_H192. % 0.78/0.93 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.93 apply (zenon_L263_); trivial. % 0.78/0.93 apply (zenon_L234_); trivial. % 0.78/0.93 (* end of lemma zenon_L267_ *) % 0.78/0.93 assert (zenon_L268_ : ((ndr1_0)/\((c2_1 (a1989))/\((~(c0_1 (a1989)))/\(~(c3_1 (a1989)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a1983)) -> (~(c1_1 (a1983))) -> (~(c0_1 (a1983))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> (~(c0_1 (a1979))) -> (~(c2_1 (a1979))) -> (c3_1 (a1979)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39)))))))) -> (c0_1 (a1981)) -> (c1_1 (a1981)) -> (~(c3_1 (a1981))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> False). % 0.78/0.93 do 0 intro. intros zenon_H18e zenon_Hff zenon_H1a6 zenon_H9b zenon_H19d zenon_H19c zenon_H19b zenon_H186 zenon_H1f1 zenon_H1f2 zenon_H1f3 zenon_H1ea zenon_H1bb zenon_H1bc zenon_H1c8 zenon_H2d zenon_H178 zenon_H127 zenon_Hc5. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H11c. zenon_intro zenon_H190. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H11a. zenon_intro zenon_H11b. % 0.78/0.93 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.93 apply (zenon_L264_); trivial. % 0.78/0.93 apply (zenon_L150_); trivial. % 0.78/0.93 (* end of lemma zenon_L268_ *) % 0.78/0.93 assert (zenon_L269_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a1989))/\((~(c0_1 (a1989)))/\(~(c3_1 (a1989))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a1983)) -> (~(c1_1 (a1983))) -> (~(c0_1 (a1983))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39)))))))) -> (c0_1 (a1981)) -> (c1_1 (a1981)) -> (~(c3_1 (a1981))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> (ndr1_0) -> (~(c0_1 (a1979))) -> (~(c2_1 (a1979))) -> (c3_1 (a1979)) -> (~(hskp9)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp9)\/(hskp11))) -> False). % 0.78/0.93 do 0 intro. intros zenon_H1a8 zenon_Hff zenon_H1a6 zenon_H9b zenon_H19d zenon_H19c zenon_H19b zenon_H186 zenon_H1ea zenon_H1bb zenon_H1bc zenon_H1c8 zenon_H2d zenon_H178 zenon_H127 zenon_Hc5 zenon_Ha zenon_H1f1 zenon_H1f2 zenon_H1f3 zenon_H65 zenon_H67. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.93 apply (zenon_L210_); trivial. % 0.78/0.93 apply (zenon_L268_); trivial. % 0.78/0.93 (* end of lemma zenon_L269_ *) % 0.78/0.93 assert (zenon_L270_ : ((ndr1_0)/\((c2_1 (a1987))/\((c3_1 (a1987))/\(~(c1_1 (a1987)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a1989))/\((~(c0_1 (a1989)))/\(~(c3_1 (a1989))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> (~(c0_1 (a1979))) -> (~(c2_1 (a1979))) -> (c3_1 (a1979)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39)))))))) -> (c0_1 (a1981)) -> (c1_1 (a1981)) -> (~(c3_1 (a1981))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp27))) -> (c3_1 (a1983)) -> (~(c1_1 (a1983))) -> (~(c0_1 (a1983))) -> (~(hskp4)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> False). % 0.78/0.93 do 0 intro. intros zenon_H1b3 zenon_H1a8 zenon_Hff zenon_H127 zenon_H186 zenon_H1f1 zenon_H1f2 zenon_H1f3 zenon_H1ea zenon_H1bb zenon_H1bc zenon_H1c8 zenon_H2d zenon_H178 zenon_H1a6 zenon_H9b zenon_H1b1 zenon_H19d zenon_H19c zenon_H19b zenon_H3a zenon_H4b zenon_H50 zenon_Hc5. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_Ha. zenon_intro zenon_H1b4. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H146. zenon_intro zenon_H1b5. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H147. zenon_intro zenon_H145. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.93 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.93 apply (zenon_L263_); trivial. % 0.78/0.93 apply (zenon_L254_); trivial. % 0.78/0.93 apply (zenon_L268_); trivial. % 0.78/0.93 (* end of lemma zenon_L270_ *) % 0.78/0.93 assert (zenon_L271_ : ((ndr1_0)/\((c3_1 (a1983))/\((~(c0_1 (a1983)))/\(~(c1_1 (a1983)))))) -> ((~(hskp9))\/((ndr1_0)/\((c1_1 (a1985))/\((~(c0_1 (a1985)))/\(~(c3_1 (a1985))))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a1987))/\((c3_1 (a1987))/\(~(c1_1 (a1987))))))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp27))) -> (~(hskp4)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12))) -> (~(hskp1)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((hskp1)\/(hskp10))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp9)\/(hskp11))) -> (c3_1 (a1979)) -> (~(c2_1 (a1979))) -> (~(c0_1 (a1979))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(c3_1 (a1981))) -> (c1_1 (a1981)) -> (c0_1 (a1981)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a1989))/\((~(c0_1 (a1989)))/\(~(c3_1 (a1989))))))) -> False). % 0.78/0.93 do 0 intro. intros zenon_H1ee zenon_H1b6 zenon_H1b7 zenon_H1b1 zenon_H3a zenon_H4b zenon_H50 zenon_H51 zenon_Hb5 zenon_H117 zenon_H12c zenon_H67 zenon_H1f3 zenon_H1f2 zenon_H1f1 zenon_Hc5 zenon_H127 zenon_H178 zenon_H2d zenon_H1c8 zenon_H1bc zenon_H1bb zenon_H1ea zenon_H186 zenon_H9b zenon_H1a6 zenon_Hff zenon_H1a8. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Ha. zenon_intro zenon_H1ef. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H19d. zenon_intro zenon_H1f0. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H19b. zenon_intro zenon_H19c. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H65 | zenon_intro zenon_H1b8 ]. % 0.78/0.93 apply (zenon_L269_); trivial. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha. zenon_intro zenon_H1b9. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H193. zenon_intro zenon_H1ba. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H191. zenon_intro zenon_H192. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H6e | zenon_intro zenon_H1b3 ]. % 0.78/0.93 apply (zenon_L248_); trivial. % 0.78/0.93 apply (zenon_L270_); trivial. % 0.78/0.93 (* end of lemma zenon_L271_ *) % 0.78/0.93 assert (zenon_L272_ : ((ndr1_0)/\((c0_1 (a1981))/\((c1_1 (a1981))/\(~(c3_1 (a1981)))))) -> ((~(hskp8))\/((ndr1_0)/\((c3_1 (a1983))/\((~(c0_1 (a1983)))/\(~(c1_1 (a1983))))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a1987))/\((c3_1 (a1987))/\(~(c1_1 (a1987))))))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((hskp1)\/(hskp10))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a1989))/\((~(c0_1 (a1989)))/\(~(c3_1 (a1989))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(hskp5)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> (~(hskp4)) -> (~(hskp1)) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> (~(hskp0)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp12)\/(hskp0))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> (~(c0_1 (a1979))) -> (~(c2_1 (a1979))) -> (c3_1 (a1979)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp9)\/(hskp11))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp9))\/((ndr1_0)/\((c1_1 (a1985))/\((~(c0_1 (a1985)))/\(~(c3_1 (a1985))))))) -> False). % 0.78/0.93 do 0 intro. intros zenon_H206 zenon_H207 zenon_H1b7 zenon_H1b1 zenon_H4b zenon_H50 zenon_H51 zenon_H117 zenon_H1a6 zenon_H1a8 zenon_H12c zenon_H131 zenon_Hbc zenon_H12d zenon_H9b zenon_H9f zenon_H156 zenon_H132 zenon_H3a zenon_Hb5 zenon_Hc5 zenon_H127 zenon_H178 zenon_H2d zenon_H1ea zenon_H186 zenon_Hf8 zenon_Hfa zenon_Hff zenon_H1f1 zenon_H1f2 zenon_H1f3 zenon_H67 zenon_H1d6 zenon_H1b6. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_Ha. zenon_intro zenon_H208. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1bb. zenon_intro zenon_H209. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H9d | zenon_intro zenon_H1ee ]. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H65 | zenon_intro zenon_H1b8 ]. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.93 apply (zenon_L210_); trivial. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H11c. zenon_intro zenon_H190. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H11a. zenon_intro zenon_H11b. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.93 apply (zenon_L265_); trivial. % 0.78/0.93 apply (zenon_L266_); trivial. % 0.78/0.93 apply (zenon_L267_); trivial. % 0.78/0.93 apply (zenon_L271_); trivial. % 0.78/0.93 (* end of lemma zenon_L272_ *) % 0.78/0.93 assert (zenon_L273_ : (forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9)))))) -> (ndr1_0) -> (~(c2_1 (a1977))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X))))) -> (~(c3_1 (a1977))) -> (c1_1 (a1977)) -> False). % 0.78/0.93 do 0 intro. intros zenon_Hab zenon_Ha zenon_H20a zenon_H20b zenon_H20c zenon_H20d. % 0.78/0.93 generalize (zenon_Hab (a1977)). zenon_intro zenon_H20e. % 0.78/0.93 apply (zenon_imply_s _ _ zenon_H20e); [ zenon_intro zenon_H9 | zenon_intro zenon_H20f ]. % 0.78/0.93 exact (zenon_H9 zenon_Ha). % 0.78/0.93 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H211 | zenon_intro zenon_H210 ]. % 0.78/0.93 exact (zenon_H20a zenon_H211). % 0.78/0.93 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H213 | zenon_intro zenon_H212 ]. % 0.78/0.93 generalize (zenon_H20b (a1977)). zenon_intro zenon_H214. % 0.78/0.93 apply (zenon_imply_s _ _ zenon_H214); [ zenon_intro zenon_H9 | zenon_intro zenon_H215 ]. % 0.78/0.93 exact (zenon_H9 zenon_Ha). % 0.78/0.93 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H217 | zenon_intro zenon_H216 ]. % 0.78/0.93 exact (zenon_H213 zenon_H217). % 0.78/0.93 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H211 | zenon_intro zenon_H218 ]. % 0.78/0.93 exact (zenon_H20a zenon_H211). % 0.78/0.93 exact (zenon_H20c zenon_H218). % 0.78/0.93 exact (zenon_H212 zenon_H20d). % 0.78/0.93 (* end of lemma zenon_L273_ *) % 0.78/0.93 assert (zenon_L274_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(hskp27))) -> (~(hskp1)) -> (ndr1_0) -> (~(c2_1 (a1977))) -> (~(c3_1 (a1977))) -> (c1_1 (a1977)) -> (~(c0_1 (a2000))) -> (~(c1_1 (a2000))) -> (~(c3_1 (a2000))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp1))) -> (~(hskp27)) -> False). % 0.78/0.93 do 0 intro. intros zenon_H219 zenon_Hb5 zenon_Ha zenon_H20a zenon_H20c zenon_H20d zenon_Ha2 zenon_Ha3 zenon_Ha4 zenon_Hb8 zenon_H3c. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H21a ]. % 0.78/0.93 apply (zenon_L45_); trivial. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H20b | zenon_intro zenon_H3d ]. % 0.78/0.93 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Hbb ]. % 0.78/0.93 apply (zenon_L45_); trivial. % 0.78/0.93 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Hab | zenon_intro zenon_Hb6 ]. % 0.78/0.93 apply (zenon_L273_); trivial. % 0.78/0.93 exact (zenon_Hb5 zenon_Hb6). % 0.78/0.93 exact (zenon_H3c zenon_H3d). % 0.78/0.93 (* end of lemma zenon_L274_ *) % 0.78/0.93 assert (zenon_L275_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2000)))/\((~(c1_1 (a2000)))/\(~(c3_1 (a2000))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp1))) -> (~(hskp1)) -> (c1_1 (a1977)) -> (~(c3_1 (a1977))) -> (~(c2_1 (a1977))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(hskp27))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/((hskp6)\/(hskp18))) -> (~(hskp17)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp6)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp13)\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> False). % 0.78/0.93 do 0 intro. intros zenon_Hc0 zenon_Hb8 zenon_Hb5 zenon_H20d zenon_H20c zenon_H20a zenon_H219 zenon_H89 zenon_H8a zenon_H2b zenon_H2d zenon_H74 zenon_H76 zenon_H15 zenon_H97 zenon_H50. % 0.78/0.93 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H87 | zenon_intro zenon_Hbd ]. % 0.78/0.93 apply (zenon_L40_); trivial. % 0.78/0.93 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha. zenon_intro zenon_Hbe. % 0.78/0.93 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Ha2. zenon_intro zenon_Hbf. % 0.78/0.93 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha4. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H3c | zenon_intro zenon_H4a ]. % 0.78/0.93 apply (zenon_L274_); trivial. % 0.78/0.93 apply (zenon_L39_); trivial. % 0.78/0.93 (* end of lemma zenon_L275_ *) % 0.78/0.93 assert (zenon_L276_ : (forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28)))))) -> (ndr1_0) -> (forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9)))))) -> (~(c2_1 (a1977))) -> (c1_1 (a1977)) -> (~(c3_1 (a1977))) -> False). % 0.78/0.93 do 0 intro. intros zenon_H1c zenon_Ha zenon_Hab zenon_H20a zenon_H20d zenon_H20c. % 0.78/0.93 generalize (zenon_H1c (a1977)). zenon_intro zenon_H21b. % 0.78/0.93 apply (zenon_imply_s _ _ zenon_H21b); [ zenon_intro zenon_H9 | zenon_intro zenon_H21c ]. % 0.78/0.93 exact (zenon_H9 zenon_Ha). % 0.78/0.93 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H217 | zenon_intro zenon_H21d ]. % 0.78/0.93 generalize (zenon_Hab (a1977)). zenon_intro zenon_H20e. % 0.78/0.93 apply (zenon_imply_s _ _ zenon_H20e); [ zenon_intro zenon_H9 | zenon_intro zenon_H20f ]. % 0.78/0.93 exact (zenon_H9 zenon_Ha). % 0.78/0.93 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H211 | zenon_intro zenon_H210 ]. % 0.78/0.93 exact (zenon_H20a zenon_H211). % 0.78/0.93 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H213 | zenon_intro zenon_H212 ]. % 0.78/0.93 exact (zenon_H213 zenon_H217). % 0.78/0.93 exact (zenon_H212 zenon_H20d). % 0.78/0.93 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H218 | zenon_intro zenon_H212 ]. % 0.78/0.93 exact (zenon_H20c zenon_H218). % 0.78/0.93 exact (zenon_H212 zenon_H20d). % 0.78/0.93 (* end of lemma zenon_L276_ *) % 0.78/0.93 assert (zenon_L277_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(c3_1 (a1977))) -> (c1_1 (a1977)) -> (~(c2_1 (a1977))) -> (forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28)))))) -> (c3_1 (a1998)) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))) -> (~(c0_1 (a1998))) -> (ndr1_0) -> False). % 0.78/0.93 do 0 intro. intros zenon_H12d zenon_H20c zenon_H20d zenon_H20a zenon_H1c zenon_H5a zenon_H59 zenon_H58 zenon_Ha. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_Hb | zenon_intro zenon_Hab ]. % 0.78/0.93 apply (zenon_L21_); trivial. % 0.78/0.93 apply (zenon_L276_); trivial. % 0.78/0.93 (* end of lemma zenon_L277_ *) % 0.78/0.93 assert (zenon_L278_ : ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12))) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))) -> (~(c2_1 (a1977))) -> (c1_1 (a1977)) -> (~(c3_1 (a1977))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (c3_1 (a1998)) -> (c1_1 (a1998)) -> (~(c0_1 (a1998))) -> (ndr1_0) -> (~(hskp12)) -> False). % 0.78/0.93 do 0 intro. intros zenon_H51 zenon_H59 zenon_H20a zenon_H20d zenon_H20c zenon_H12d zenon_H5a zenon_Hc4 zenon_H58 zenon_Ha zenon_H38. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H1c | zenon_intro zenon_H57 ]. % 0.78/0.93 apply (zenon_L277_); trivial. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H2e | zenon_intro zenon_H39 ]. % 0.78/0.93 apply (zenon_L76_); trivial. % 0.78/0.93 exact (zenon_H38 zenon_H39). % 0.78/0.93 (* end of lemma zenon_L278_ *) % 0.78/0.93 assert (zenon_L279_ : ((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp9)\/(hskp11))) -> (~(hskp12)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(c3_1 (a1977))) -> (c1_1 (a1977)) -> (~(c2_1 (a1977))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12))) -> (~(hskp9)) -> (~(hskp11)) -> False). % 0.78/0.93 do 0 intro. intros zenon_Hc1 zenon_H67 zenon_H38 zenon_H12d zenon_H20c zenon_H20d zenon_H20a zenon_H51 zenon_H65 zenon_H48. % 0.78/0.93 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2. % 0.78/0.93 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc3. % 0.78/0.93 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H59 | zenon_intro zenon_H68 ]. % 0.78/0.93 apply (zenon_L278_); trivial. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H66 | zenon_intro zenon_H49 ]. % 0.78/0.93 exact (zenon_H65 zenon_H66). % 0.78/0.93 exact (zenon_H48 zenon_H49). % 0.78/0.93 (* end of lemma zenon_L279_ *) % 0.78/0.93 assert (zenon_L280_ : ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/((hskp6)\/(hskp18))) -> (~(c2_1 (a1990))) -> (c3_1 (a1990)) -> (~(c1_1 (a1990))) -> (ndr1_0) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))) -> (~(hskp6)) -> (~(hskp18)) -> False). % 0.78/0.93 do 0 intro. intros zenon_H8a zenon_H10f zenon_H110 zenon_H10e zenon_Ha zenon_H59 zenon_H74 zenon_H87. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H79 | zenon_intro zenon_H8e ]. % 0.78/0.93 apply (zenon_L103_); trivial. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H75 | zenon_intro zenon_H88 ]. % 0.78/0.93 exact (zenon_H74 zenon_H75). % 0.78/0.93 exact (zenon_H87 zenon_H88). % 0.78/0.93 (* end of lemma zenon_L280_ *) % 0.78/0.93 assert (zenon_L281_ : (forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39)))))) -> (ndr1_0) -> (~(c2_1 (a1977))) -> (~(c3_1 (a1977))) -> (c1_1 (a1977)) -> False). % 0.78/0.93 do 0 intro. intros zenon_H1ce zenon_Ha zenon_H20a zenon_H20c zenon_H20d. % 0.78/0.93 generalize (zenon_H1ce (a1977)). zenon_intro zenon_H21e. % 0.78/0.93 apply (zenon_imply_s _ _ zenon_H21e); [ zenon_intro zenon_H9 | zenon_intro zenon_H21f ]. % 0.78/0.93 exact (zenon_H9 zenon_Ha). % 0.78/0.93 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H211 | zenon_intro zenon_H21d ]. % 0.78/0.93 exact (zenon_H20a zenon_H211). % 0.78/0.93 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H218 | zenon_intro zenon_H212 ]. % 0.78/0.93 exact (zenon_H20c zenon_H218). % 0.78/0.93 exact (zenon_H212 zenon_H20d). % 0.78/0.93 (* end of lemma zenon_L281_ *) % 0.78/0.93 assert (zenon_L282_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39)))))))) -> (~(hskp18)) -> (~(hskp6)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/((hskp6)\/(hskp18))) -> (c3_1 (a1990)) -> (~(c2_1 (a1990))) -> (~(c1_1 (a1990))) -> (ndr1_0) -> (~(c2_1 (a1977))) -> (~(c3_1 (a1977))) -> (c1_1 (a1977)) -> False). % 0.78/0.93 do 0 intro. intros zenon_H1ea zenon_H87 zenon_H74 zenon_H8a zenon_H110 zenon_H10f zenon_H10e zenon_Ha zenon_H20a zenon_H20c zenon_H20d. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H59 | zenon_intro zenon_H1eb ]. % 0.78/0.93 apply (zenon_L280_); trivial. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H10d | zenon_intro zenon_H1ce ]. % 0.78/0.93 apply (zenon_L73_); trivial. % 0.78/0.93 apply (zenon_L281_); trivial. % 0.78/0.93 (* end of lemma zenon_L282_ *) % 0.78/0.93 assert (zenon_L283_ : ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp21))) -> (c3_1 (a1990)) -> (~(c2_1 (a1990))) -> (~(c1_1 (a1990))) -> (c1_1 (a1977)) -> (~(c3_1 (a1977))) -> (~(c2_1 (a1977))) -> (ndr1_0) -> (~(hskp21)) -> False). % 0.78/0.93 do 0 intro. intros zenon_H1d4 zenon_H110 zenon_H10f zenon_H10e zenon_H20d zenon_H20c zenon_H20a zenon_Ha zenon_H1d2. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H10d | zenon_intro zenon_H1d5 ]. % 0.78/0.93 apply (zenon_L73_); trivial. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1d3 ]. % 0.78/0.93 apply (zenon_L281_); trivial. % 0.78/0.93 exact (zenon_H1d2 zenon_H1d3). % 0.78/0.93 (* end of lemma zenon_L283_ *) % 0.78/0.93 assert (zenon_L284_ : ((ndr1_0)/\((c2_1 (a2009))/\((~(c1_1 (a2009)))/\(~(c3_1 (a2009)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a2000))) -> (~(c1_1 (a2000))) -> (~(c0_1 (a2000))) -> (~(hskp6)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((hskp23)\/(hskp6))) -> False). % 0.78/0.93 do 0 intro. intros zenon_H1e6 zenon_Hbc zenon_Hb8 zenon_Hb5 zenon_Ha4 zenon_Ha3 zenon_Ha2 zenon_H74 zenon_H1e2. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_Ha. zenon_intro zenon_H1e7. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H1db. zenon_intro zenon_H1e8. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H1d9. zenon_intro zenon_H1da. % 0.78/0.93 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb7 ]. % 0.78/0.93 apply (zenon_L176_); trivial. % 0.78/0.93 apply (zenon_L48_); trivial. % 0.78/0.93 (* end of lemma zenon_L284_ *) % 0.78/0.93 assert (zenon_L285_ : ((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2000)))/\((~(c1_1 (a2000)))/\(~(c3_1 (a2000))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a2009))/\((~(c1_1 (a2009)))/\(~(c3_1 (a2009))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((hskp23)\/(hskp6))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp21))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/((hskp6)\/(hskp18))) -> (~(hskp6)) -> (~(c2_1 (a1977))) -> (~(c3_1 (a1977))) -> (c1_1 (a1977)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39)))))))) -> False). % 0.78/0.93 do 0 intro. intros zenon_H129 zenon_Hc0 zenon_H1e9 zenon_Hbc zenon_Hb8 zenon_Hb5 zenon_H1e2 zenon_H1d4 zenon_H8a zenon_H74 zenon_H20a zenon_H20c zenon_H20d zenon_H1ea. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Ha. zenon_intro zenon_H12a. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H110. zenon_intro zenon_H12b. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.78/0.93 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H87 | zenon_intro zenon_Hbd ]. % 0.78/0.93 apply (zenon_L282_); trivial. % 0.78/0.93 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha. zenon_intro zenon_Hbe. % 0.78/0.93 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Ha2. zenon_intro zenon_Hbf. % 0.78/0.93 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha4. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H1e6 ]. % 0.78/0.93 apply (zenon_L283_); trivial. % 0.78/0.93 apply (zenon_L284_); trivial. % 0.78/0.93 (* end of lemma zenon_L285_ *) % 0.78/0.93 assert (zenon_L286_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a2009))/\((~(c1_1 (a2009)))/\(~(c3_1 (a2009))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((hskp23)\/(hskp6))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp21))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp9)\/(hskp11))) -> (~(hskp11)) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp13)\/(hskp17))) -> ((hskp30)\/((hskp27)\/(hskp6))) -> (~(hskp6)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/((hskp6)\/(hskp18))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(hskp27))) -> (~(c2_1 (a1977))) -> (~(c3_1 (a1977))) -> (c1_1 (a1977)) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2000)))/\((~(c1_1 (a2000)))/\(~(c3_1 (a2000))))))) -> (~(hskp0)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp12)\/(hskp0))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> False). % 0.78/0.93 do 0 intro. intros zenon_H12c zenon_H1e9 zenon_Hbc zenon_H1e2 zenon_H1d4 zenon_H1ea zenon_Hc5 zenon_H67 zenon_H48 zenon_H65 zenon_H12d zenon_H51 zenon_H50 zenon_H97 zenon_H76 zenon_H74 zenon_H2d zenon_H8a zenon_H89 zenon_H219 zenon_H20a zenon_H20c zenon_H20d zenon_Hb5 zenon_Hb8 zenon_Hc0 zenon_Hf8 zenon_Hfa zenon_Hff. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.93 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.93 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.93 apply (zenon_L275_); trivial. % 0.78/0.93 apply (zenon_L279_); trivial. % 0.78/0.93 apply (zenon_L68_); trivial. % 0.78/0.93 apply (zenon_L285_); trivial. % 0.78/0.93 (* end of lemma zenon_L286_ *) % 0.78/0.93 assert (zenon_L287_ : (forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24)))))) -> (ndr1_0) -> (~(c0_1 (a1977))) -> (~(c2_1 (a1977))) -> (c1_1 (a1977)) -> False). % 0.78/0.93 do 0 intro. intros zenon_Hc6 zenon_Ha zenon_H213 zenon_H20a zenon_H20d. % 0.78/0.93 generalize (zenon_Hc6 (a1977)). zenon_intro zenon_H220. % 0.78/0.93 apply (zenon_imply_s _ _ zenon_H220); [ zenon_intro zenon_H9 | zenon_intro zenon_H221 ]. % 0.78/0.93 exact (zenon_H9 zenon_Ha). % 0.78/0.93 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H217 | zenon_intro zenon_H222 ]. % 0.78/0.93 exact (zenon_H213 zenon_H217). % 0.78/0.93 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H211 | zenon_intro zenon_H212 ]. % 0.78/0.93 exact (zenon_H20a zenon_H211). % 0.78/0.93 exact (zenon_H212 zenon_H20d). % 0.78/0.93 (* end of lemma zenon_L287_ *) % 0.78/0.93 assert (zenon_L288_ : (forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9)))))) -> (ndr1_0) -> (~(c2_1 (a1977))) -> (forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24)))))) -> (c1_1 (a1977)) -> False). % 0.78/0.93 do 0 intro. intros zenon_Hab zenon_Ha zenon_H20a zenon_Hc6 zenon_H20d. % 0.78/0.93 generalize (zenon_Hab (a1977)). zenon_intro zenon_H20e. % 0.78/0.93 apply (zenon_imply_s _ _ zenon_H20e); [ zenon_intro zenon_H9 | zenon_intro zenon_H20f ]. % 0.78/0.93 exact (zenon_H9 zenon_Ha). % 0.78/0.93 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H211 | zenon_intro zenon_H210 ]. % 0.78/0.93 exact (zenon_H20a zenon_H211). % 0.78/0.93 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H213 | zenon_intro zenon_H212 ]. % 0.78/0.93 apply (zenon_L287_); trivial. % 0.78/0.93 exact (zenon_H212 zenon_H20d). % 0.78/0.93 (* end of lemma zenon_L288_ *) % 0.78/0.93 assert (zenon_L289_ : ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/((hskp6)\/(hskp18))) -> (c2_1 (a2005)) -> (c3_1 (a2005)) -> (c0_1 (a2005)) -> (ndr1_0) -> (forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (~(hskp6)) -> (~(hskp18)) -> False). % 0.78/0.93 do 0 intro. intros zenon_H8a zenon_H7b zenon_H7a zenon_H78 zenon_Ha zenon_H1b zenon_H74 zenon_H87. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H79 | zenon_intro zenon_H8e ]. % 0.78/0.93 apply (zenon_L33_); trivial. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H75 | zenon_intro zenon_H88 ]. % 0.78/0.93 exact (zenon_H74 zenon_H75). % 0.78/0.93 exact (zenon_H87 zenon_H88). % 0.78/0.93 (* end of lemma zenon_L289_ *) % 0.78/0.93 assert (zenon_L290_ : ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a1985)) -> (~(c3_1 (a1985))) -> (~(c0_1 (a1985))) -> (c1_1 (a1977)) -> (forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24)))))) -> (~(c2_1 (a1977))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/((hskp6)\/(hskp18))) -> (c2_1 (a2005)) -> (c3_1 (a2005)) -> (c0_1 (a2005)) -> (ndr1_0) -> (~(hskp6)) -> (~(hskp18)) -> False). % 0.78/0.93 do 0 intro. intros zenon_H1d6 zenon_H193 zenon_H192 zenon_H191 zenon_H20d zenon_Hc6 zenon_H20a zenon_H8a zenon_H7b zenon_H7a zenon_H78 zenon_Ha zenon_H74 zenon_H87. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1c | zenon_intro zenon_H1d7 ]. % 0.78/0.93 apply (zenon_L131_); trivial. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_Hab | zenon_intro zenon_H1b ]. % 0.78/0.93 apply (zenon_L288_); trivial. % 0.78/0.93 apply (zenon_L289_); trivial. % 0.78/0.93 (* end of lemma zenon_L290_ *) % 0.78/0.93 assert (zenon_L291_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((hskp28)\/(hskp8))) -> (~(hskp8)) -> (~(hskp28)) -> (~(c0_1 (a1985))) -> (~(c3_1 (a1985))) -> (c1_1 (a1985)) -> (~(c2_1 (a1977))) -> (c1_1 (a1977)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/((hskp6)\/(hskp18))) -> (~(hskp18)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (~(hskp27)) -> (~(hskp6)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> False). % 0.78/0.93 do 0 intro. intros zenon_H89 zenon_Hd2 zenon_H9d zenon_Hd0 zenon_H191 zenon_H192 zenon_H193 zenon_H20a zenon_H20d zenon_H8a zenon_H87 zenon_H1d6 zenon_H3c zenon_H74 zenon_H76. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H72 | zenon_intro zenon_H8b ]. % 0.78/0.93 apply (zenon_L32_); trivial. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Ha. zenon_intro zenon_H8c. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H78. zenon_intro zenon_H8d. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.78/0.93 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hd3 ]. % 0.78/0.93 apply (zenon_L290_); trivial. % 0.78/0.93 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H9e ]. % 0.78/0.93 exact (zenon_Hd0 zenon_Hd1). % 0.78/0.93 exact (zenon_H9d zenon_H9e). % 0.78/0.93 (* end of lemma zenon_L291_ *) % 0.78/0.93 assert (zenon_L292_ : ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a1985)) -> (~(c3_1 (a1985))) -> (~(c0_1 (a1985))) -> (c1_1 (a1977)) -> (~(c3_1 (a1977))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X))))) -> (~(c2_1 (a1977))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/((hskp6)\/(hskp18))) -> (c2_1 (a2005)) -> (c3_1 (a2005)) -> (c0_1 (a2005)) -> (ndr1_0) -> (~(hskp6)) -> (~(hskp18)) -> False). % 0.78/0.93 do 0 intro. intros zenon_H1d6 zenon_H193 zenon_H192 zenon_H191 zenon_H20d zenon_H20c zenon_H20b zenon_H20a zenon_H8a zenon_H7b zenon_H7a zenon_H78 zenon_Ha zenon_H74 zenon_H87. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1c | zenon_intro zenon_H1d7 ]. % 0.78/0.93 apply (zenon_L131_); trivial. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_Hab | zenon_intro zenon_H1b ]. % 0.78/0.93 apply (zenon_L273_); trivial. % 0.78/0.93 apply (zenon_L289_); trivial. % 0.78/0.93 (* end of lemma zenon_L292_ *) % 0.78/0.93 assert (zenon_L293_ : (forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9)))))) -> (ndr1_0) -> (forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))) -> (c1_1 (a1972)) -> (c3_1 (a1972)) -> (c0_1 (a1972)) -> False). % 0.78/0.93 do 0 intro. intros zenon_Hab zenon_Ha zenon_H3e zenon_Hdd zenon_Hde zenon_Hdc. % 0.78/0.93 generalize (zenon_Hab (a1972)). zenon_intro zenon_H223. % 0.78/0.93 apply (zenon_imply_s _ _ zenon_H223); [ zenon_intro zenon_H9 | zenon_intro zenon_H224 ]. % 0.78/0.93 exact (zenon_H9 zenon_Ha). % 0.78/0.93 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H226 | zenon_intro zenon_H225 ]. % 0.78/0.93 generalize (zenon_H3e (a1972)). zenon_intro zenon_H227. % 0.78/0.93 apply (zenon_imply_s _ _ zenon_H227); [ zenon_intro zenon_H9 | zenon_intro zenon_H228 ]. % 0.78/0.93 exact (zenon_H9 zenon_Ha). % 0.78/0.93 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_He4 | zenon_intro zenon_H229 ]. % 0.78/0.93 exact (zenon_He4 zenon_Hdd). % 0.78/0.93 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H22a | zenon_intro zenon_He3 ]. % 0.78/0.93 exact (zenon_H22a zenon_H226). % 0.78/0.93 exact (zenon_He3 zenon_Hde). % 0.78/0.93 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_He2 | zenon_intro zenon_He4 ]. % 0.78/0.93 exact (zenon_He2 zenon_Hdc). % 0.78/0.93 exact (zenon_He4 zenon_Hdd). % 0.78/0.93 (* end of lemma zenon_L293_ *) % 0.78/0.93 assert (zenon_L294_ : ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a1985)) -> (~(c3_1 (a1985))) -> (~(c0_1 (a1985))) -> (c0_1 (a1972)) -> (c3_1 (a1972)) -> (c1_1 (a1972)) -> (forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/((hskp6)\/(hskp18))) -> (c2_1 (a2005)) -> (c3_1 (a2005)) -> (c0_1 (a2005)) -> (ndr1_0) -> (~(hskp6)) -> (~(hskp18)) -> False). % 0.78/0.93 do 0 intro. intros zenon_H1d6 zenon_H193 zenon_H192 zenon_H191 zenon_Hdc zenon_Hde zenon_Hdd zenon_H3e zenon_H8a zenon_H7b zenon_H7a zenon_H78 zenon_Ha zenon_H74 zenon_H87. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1c | zenon_intro zenon_H1d7 ]. % 0.78/0.93 apply (zenon_L131_); trivial. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_Hab | zenon_intro zenon_H1b ]. % 0.78/0.93 apply (zenon_L293_); trivial. % 0.78/0.93 apply (zenon_L289_); trivial. % 0.78/0.93 (* end of lemma zenon_L294_ *) % 0.78/0.93 assert (zenon_L295_ : ((ndr1_0)/\((c0_1 (a1972))/\((c1_1 (a1972))/\(c3_1 (a1972))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))) -> (~(c0_1 (a1985))) -> (~(c3_1 (a1985))) -> (c1_1 (a1985)) -> (~(c2_1 (a1977))) -> (~(c3_1 (a1977))) -> (c1_1 (a1977)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/((hskp6)\/(hskp18))) -> (~(hskp18)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (~(hskp27)) -> (~(hskp6)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> False). % 0.78/0.93 do 0 intro. intros zenon_He9 zenon_H89 zenon_H22b zenon_H191 zenon_H192 zenon_H193 zenon_H20a zenon_H20c zenon_H20d zenon_H8a zenon_H87 zenon_H1d6 zenon_H3c zenon_H74 zenon_H76. % 0.78/0.93 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.78/0.93 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_Hdc. zenon_intro zenon_Hec. % 0.78/0.93 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H72 | zenon_intro zenon_H8b ]. % 0.78/0.93 apply (zenon_L32_); trivial. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Ha. zenon_intro zenon_H8c. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H78. zenon_intro zenon_H8d. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20b | zenon_intro zenon_H3e ]. % 0.78/0.93 apply (zenon_L292_); trivial. % 0.78/0.93 apply (zenon_L294_); trivial. % 0.78/0.93 (* end of lemma zenon_L295_ *) % 0.78/0.93 assert (zenon_L296_ : ((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))) -> (~(c0_1 (a1985))) -> (~(c3_1 (a1985))) -> (c1_1 (a1985)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a1977)) -> (~(c3_1 (a1977))) -> (~(c2_1 (a1977))) -> (~(hskp12)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12))) -> False). % 0.78/0.93 do 0 intro. intros zenon_H4a zenon_H22b zenon_H191 zenon_H192 zenon_H193 zenon_H1d6 zenon_H20d zenon_H20c zenon_H20a zenon_H38 zenon_H51. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H3f. zenon_intro zenon_H4d. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H40. zenon_intro zenon_H41. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20b | zenon_intro zenon_H3e ]. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H1c | zenon_intro zenon_H57 ]. % 0.78/0.93 apply (zenon_L131_); trivial. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H2e | zenon_intro zenon_H39 ]. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1c | zenon_intro zenon_H1d7 ]. % 0.78/0.93 apply (zenon_L131_); trivial. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_Hab | zenon_intro zenon_H1b ]. % 0.78/0.93 apply (zenon_L273_); trivial. % 0.78/0.93 apply (zenon_L37_); trivial. % 0.78/0.93 exact (zenon_H38 zenon_H39). % 0.78/0.93 apply (zenon_L17_); trivial. % 0.78/0.93 (* end of lemma zenon_L296_ *) % 0.78/0.93 assert (zenon_L297_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> (~(hskp12)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((hskp28)\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a1985))) -> (~(c3_1 (a1985))) -> (c1_1 (a1985)) -> (~(c2_1 (a1977))) -> (c1_1 (a1977)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/((hskp6)\/(hskp18))) -> (~(hskp18)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (~(hskp6)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> (~(c3_1 (a1977))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1972))/\((c1_1 (a1972))/\(c3_1 (a1972)))))) -> False). % 0.78/0.93 do 0 intro. intros zenon_H50 zenon_H38 zenon_H51 zenon_H89 zenon_Hd2 zenon_H9d zenon_H191 zenon_H192 zenon_H193 zenon_H20a zenon_H20d zenon_H8a zenon_H87 zenon_H1d6 zenon_H74 zenon_H76 zenon_H20c zenon_H22b zenon_Hee. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H3c | zenon_intro zenon_H4a ]. % 0.78/0.93 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_Hd0 | zenon_intro zenon_He9 ]. % 0.78/0.93 apply (zenon_L291_); trivial. % 0.78/0.93 apply (zenon_L295_); trivial. % 0.78/0.93 apply (zenon_L296_); trivial. % 0.78/0.93 (* end of lemma zenon_L297_ *) % 0.78/0.93 assert (zenon_L298_ : ((ndr1_0)/\((~(c0_1 (a2000)))/\((~(c1_1 (a2000)))/\(~(c3_1 (a2000)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))) -> (~(c0_1 (a1985))) -> (~(c3_1 (a1985))) -> (c1_1 (a1985)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (~(hskp12)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp1))) -> (~(hskp1)) -> (c1_1 (a1977)) -> (~(c3_1 (a1977))) -> (~(c2_1 (a1977))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(hskp27))) -> False). % 0.78/0.93 do 0 intro. intros zenon_Hbd zenon_H50 zenon_H22b zenon_H191 zenon_H192 zenon_H193 zenon_H1d6 zenon_H38 zenon_H51 zenon_Hb8 zenon_Hb5 zenon_H20d zenon_H20c zenon_H20a zenon_H219. % 0.78/0.93 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha. zenon_intro zenon_Hbe. % 0.78/0.93 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Ha2. zenon_intro zenon_Hbf. % 0.78/0.93 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha4. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H3c | zenon_intro zenon_H4a ]. % 0.78/0.93 apply (zenon_L274_); trivial. % 0.78/0.93 apply (zenon_L296_); trivial. % 0.78/0.93 (* end of lemma zenon_L298_ *) % 0.78/0.93 assert (zenon_L299_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2000)))/\((~(c1_1 (a2000)))/\(~(c3_1 (a2000))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp1))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1972))/\((c1_1 (a1972))/\(c3_1 (a1972)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))) -> (~(c3_1 (a1977))) -> ((hskp30)\/((hskp27)\/(hskp6))) -> (~(hskp6)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/((hskp6)\/(hskp18))) -> (c1_1 (a1977)) -> (~(c2_1 (a1977))) -> (c1_1 (a1985)) -> (~(c3_1 (a1985))) -> (~(c0_1 (a1985))) -> (~(hskp8)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((hskp28)\/(hskp8))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> False). % 0.78/0.93 do 0 intro. intros zenon_Hc0 zenon_Hb8 zenon_Hb5 zenon_H219 zenon_Hee zenon_H22b zenon_H20c zenon_H76 zenon_H74 zenon_H1d6 zenon_H8a zenon_H20d zenon_H20a zenon_H193 zenon_H192 zenon_H191 zenon_H9d zenon_Hd2 zenon_H89 zenon_H51 zenon_H38 zenon_H50. % 0.78/0.93 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H87 | zenon_intro zenon_Hbd ]. % 0.78/0.93 apply (zenon_L297_); trivial. % 0.78/0.93 apply (zenon_L298_); trivial. % 0.78/0.93 (* end of lemma zenon_L299_ *) % 0.78/0.93 assert (zenon_L300_ : ((ndr1_0)/\((c1_1 (a1985))/\((~(c0_1 (a1985)))/\(~(c3_1 (a1985)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a2009))/\((~(c1_1 (a2009)))/\(~(c3_1 (a2009))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((hskp23)\/(hskp6))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp21))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((hskp28)\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a1977))) -> (c1_1 (a1977)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/((hskp6)\/(hskp18))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (~(hskp6)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> (~(c3_1 (a1977))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1972))/\((c1_1 (a1972))/\(c3_1 (a1972)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(hskp27))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2000)))/\((~(c1_1 (a2000)))/\(~(c3_1 (a2000))))))) -> False). % 0.78/0.93 do 0 intro. intros zenon_H1b8 zenon_H12c zenon_H1e9 zenon_Hbc zenon_H1e2 zenon_H1d4 zenon_H1ea zenon_H50 zenon_H51 zenon_H89 zenon_Hd2 zenon_H9d zenon_H20a zenon_H20d zenon_H8a zenon_H1d6 zenon_H74 zenon_H76 zenon_H20c zenon_H22b zenon_Hee zenon_H219 zenon_Hb5 zenon_Hb8 zenon_Hc0. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha. zenon_intro zenon_H1b9. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H193. zenon_intro zenon_H1ba. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H191. zenon_intro zenon_H192. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.93 apply (zenon_L299_); trivial. % 0.78/0.93 apply (zenon_L285_); trivial. % 0.78/0.93 (* end of lemma zenon_L300_ *) % 0.78/0.93 assert (zenon_L301_ : ((ndr1_0)/\((c2_1 (a2009))/\((~(c1_1 (a2009)))/\(~(c3_1 (a2009)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (c3_1 (a2001)) -> (c2_1 (a2001)) -> (~(c0_1 (a2001))) -> (~(hskp6)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((hskp23)\/(hskp6))) -> False). % 0.78/0.93 do 0 intro. intros zenon_H1e6 zenon_Hbc zenon_H12d zenon_He zenon_Hd zenon_Hc zenon_H74 zenon_H1e2. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_Ha. zenon_intro zenon_H1e7. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H1db. zenon_intro zenon_H1e8. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H1d9. zenon_intro zenon_H1da. % 0.78/0.93 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb7 ]. % 0.78/0.93 apply (zenon_L176_); trivial. % 0.78/0.93 apply (zenon_L82_); trivial. % 0.78/0.93 (* end of lemma zenon_L301_ *) % 0.78/0.93 assert (zenon_L302_ : ((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a2009))/\((~(c1_1 (a2009)))/\(~(c3_1 (a2009))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(hskp6)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((hskp23)\/(hskp6))) -> (~(c1_1 (a1990))) -> (~(c2_1 (a1990))) -> (c3_1 (a1990)) -> (~(c2_1 (a1977))) -> (~(c3_1 (a1977))) -> (c1_1 (a1977)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp21))) -> False). % 0.78/0.93 do 0 intro. intros zenon_H12e zenon_H1e9 zenon_Hbc zenon_H12d zenon_H74 zenon_H1e2 zenon_H10e zenon_H10f zenon_H110 zenon_H20a zenon_H20c zenon_H20d zenon_H1d4. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Ha. zenon_intro zenon_H12f. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_Hd. zenon_intro zenon_H130. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H1e6 ]. % 0.78/0.93 apply (zenon_L283_); trivial. % 0.78/0.93 apply (zenon_L301_); trivial. % 0.78/0.93 (* end of lemma zenon_L302_ *) % 0.78/0.93 assert (zenon_L303_ : ((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a2009))/\((~(c1_1 (a2009)))/\(~(c3_1 (a2009))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(hskp6)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((hskp23)\/(hskp6))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp21))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(c2_1 (a1990))) -> (c3_1 (a1990)) -> (~(c1_1 (a1990))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39)))))))) -> (c1_1 (a1977)) -> (~(c3_1 (a1977))) -> (~(c2_1 (a1977))) -> (~(hskp9)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp9))) -> False). % 0.78/0.93 do 0 intro. intros zenon_Hc1 zenon_H131 zenon_H1e9 zenon_Hbc zenon_H12d zenon_H74 zenon_H1e2 zenon_H1d4 zenon_H156 zenon_H10f zenon_H110 zenon_H10e zenon_H1ea zenon_H20d zenon_H20c zenon_H20a zenon_H65 zenon_H16d. % 0.78/0.93 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2. % 0.78/0.93 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc3. % 0.78/0.93 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H3 | zenon_intro zenon_H12e ]. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H59 | zenon_intro zenon_H16e ]. % 0.78/0.93 apply (zenon_L111_); trivial. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_Hb | zenon_intro zenon_H66 ]. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H59 | zenon_intro zenon_H1eb ]. % 0.78/0.93 apply (zenon_L21_); trivial. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H10d | zenon_intro zenon_H1ce ]. % 0.78/0.93 apply (zenon_L73_); trivial. % 0.78/0.93 apply (zenon_L281_); trivial. % 0.78/0.93 exact (zenon_H65 zenon_H66). % 0.78/0.93 apply (zenon_L302_); trivial. % 0.78/0.93 (* end of lemma zenon_L303_ *) % 0.78/0.93 assert (zenon_L304_ : ((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a2009))/\((~(c1_1 (a2009)))/\(~(c3_1 (a2009))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((hskp23)\/(hskp6))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp21))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39)))))))) -> (c1_1 (a1977)) -> (~(c3_1 (a1977))) -> (~(c2_1 (a1977))) -> (~(hskp9)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp9))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((hskp29)\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a1983)) -> (~(c1_1 (a1983))) -> (~(c0_1 (a1983))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> False). % 0.78/0.93 do 0 intro. intros zenon_H129 zenon_Hc5 zenon_H131 zenon_H1e9 zenon_Hbc zenon_H12d zenon_H1e2 zenon_H1d4 zenon_H156 zenon_H1ea zenon_H20d zenon_H20c zenon_H20a zenon_H65 zenon_H16d zenon_H1a4 zenon_H74 zenon_H19d zenon_H19c zenon_H19b zenon_H2d zenon_H186. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Ha. zenon_intro zenon_H12a. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H110. zenon_intro zenon_H12b. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.78/0.93 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.93 apply (zenon_L148_); trivial. % 0.78/0.93 apply (zenon_L303_); trivial. % 0.78/0.93 (* end of lemma zenon_L304_ *) % 0.78/0.93 assert (zenon_L305_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a2009))/\((~(c1_1 (a2009)))/\(~(c3_1 (a2009))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((hskp23)\/(hskp6))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp21))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (ndr1_0) -> (~(c0_1 (a1983))) -> (~(c1_1 (a1983))) -> (c3_1 (a1983)) -> (~(hskp6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((hskp29)\/(hskp6))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12))) -> (~(c2_1 (a1977))) -> (c1_1 (a1977)) -> (~(c3_1 (a1977))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(hskp9)) -> (~(hskp11)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp9)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> False). % 0.78/0.93 do 0 intro. intros zenon_H12c zenon_H131 zenon_H1e9 zenon_Hbc zenon_H1e2 zenon_H1d4 zenon_H156 zenon_H1ea zenon_H16d zenon_H186 zenon_H2d zenon_Ha zenon_H19b zenon_H19c zenon_H19d zenon_H74 zenon_H1a4 zenon_H51 zenon_H20a zenon_H20d zenon_H20c zenon_H12d zenon_H65 zenon_H48 zenon_H67 zenon_Hc5. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.93 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.93 apply (zenon_L148_); trivial. % 0.78/0.93 apply (zenon_L279_); trivial. % 0.78/0.93 apply (zenon_L304_); trivial. % 0.78/0.93 (* end of lemma zenon_L305_ *) % 0.78/0.93 assert (zenon_L306_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp12)\/(hskp0))) -> (~(hskp0)) -> (~(hskp12)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (ndr1_0) -> (~(c0_1 (a1983))) -> (~(c1_1 (a1983))) -> (c3_1 (a1983)) -> (~(hskp6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((hskp29)\/(hskp6))) -> (~(c0_1 (a1989))) -> (~(c3_1 (a1989))) -> (c2_1 (a1989)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> False). % 0.78/0.93 do 0 intro. intros zenon_Hff zenon_Hfa zenon_Hf8 zenon_H38 zenon_H186 zenon_H2d zenon_Ha zenon_H19b zenon_H19c zenon_H19d zenon_H74 zenon_H1a4 zenon_H11a zenon_H11b zenon_H11c zenon_H127 zenon_Hc5. % 0.78/0.93 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.93 apply (zenon_L151_); trivial. % 0.78/0.93 apply (zenon_L68_); trivial. % 0.78/0.93 (* end of lemma zenon_L306_ *) % 0.78/0.93 assert (zenon_L307_ : ((ndr1_0)/\((c2_1 (a1989))/\((~(c0_1 (a1989)))/\(~(c3_1 (a1989)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a2009))/\((~(c1_1 (a2009)))/\(~(c3_1 (a2009))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((hskp23)\/(hskp6))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp21))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39)))))))) -> (c1_1 (a1977)) -> (~(c3_1 (a1977))) -> (~(c2_1 (a1977))) -> (~(hskp9)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((hskp29)\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a1983)) -> (~(c1_1 (a1983))) -> (~(c0_1 (a1983))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> (~(hskp0)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp12)\/(hskp0))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> False). % 0.78/0.93 do 0 intro. intros zenon_H18e zenon_H12c zenon_H131 zenon_H1e9 zenon_Hbc zenon_H12d zenon_H1e2 zenon_H1d4 zenon_H156 zenon_H1ea zenon_H20d zenon_H20c zenon_H20a zenon_H65 zenon_H16d zenon_Hc5 zenon_H127 zenon_H1a4 zenon_H74 zenon_H19d zenon_H19c zenon_H19b zenon_H2d zenon_H186 zenon_Hf8 zenon_Hfa zenon_Hff. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H11c. zenon_intro zenon_H190. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H11a. zenon_intro zenon_H11b. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.93 apply (zenon_L306_); trivial. % 0.78/0.93 apply (zenon_L304_); trivial. % 0.78/0.93 (* end of lemma zenon_L307_ *) % 0.78/0.93 assert (zenon_L308_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a1989))/\((~(c0_1 (a1989)))/\(~(c3_1 (a1989))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp0)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp12)\/(hskp0))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp9)\/(hskp11))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(c3_1 (a1977))) -> (c1_1 (a1977)) -> (~(c2_1 (a1977))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((hskp29)\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a1983)) -> (~(c1_1 (a1983))) -> (~(c0_1 (a1983))) -> (ndr1_0) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp9))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp21))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((hskp23)\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a2009))/\((~(c1_1 (a2009)))/\(~(c3_1 (a2009))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> False). % 0.78/0.93 do 0 intro. intros zenon_H1a8 zenon_H127 zenon_Hf8 zenon_Hfa zenon_Hff zenon_Hc5 zenon_H67 zenon_H65 zenon_H12d zenon_H20c zenon_H20d zenon_H20a zenon_H51 zenon_H1a4 zenon_H74 zenon_H19d zenon_H19c zenon_H19b zenon_Ha zenon_H2d zenon_H186 zenon_H16d zenon_H1ea zenon_H156 zenon_H1d4 zenon_H1e2 zenon_Hbc zenon_H1e9 zenon_H131 zenon_H12c. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.93 apply (zenon_L305_); trivial. % 0.78/0.93 apply (zenon_L307_); trivial. % 0.78/0.93 (* end of lemma zenon_L308_ *) % 0.78/0.93 assert (zenon_L309_ : ((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a1985)) -> (~(c3_1 (a1985))) -> (~(c0_1 (a1985))) -> (~(c0_1 (a1983))) -> (~(c1_1 (a1983))) -> (c3_1 (a1983)) -> (~(hskp6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((hskp29)\/(hskp6))) -> False). % 0.78/0.93 do 0 intro. intros zenon_Hb7 zenon_H186 zenon_H1d6 zenon_H193 zenon_H192 zenon_H191 zenon_H19b zenon_H19c zenon_H19d zenon_H74 zenon_H1a4. % 0.78/0.93 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Ha. zenon_intro zenon_Hb9. % 0.78/0.93 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Had. zenon_intro zenon_Hba. % 0.78/0.93 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Hae. zenon_intro zenon_Hac. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H176 | zenon_intro zenon_H183 ]. % 0.78/0.93 apply (zenon_L146_); trivial. % 0.78/0.93 apply (zenon_L201_); trivial. % 0.78/0.93 (* end of lemma zenon_L309_ *) % 0.78/0.93 assert (zenon_L310_ : ((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a2009))/\((~(c1_1 (a2009)))/\(~(c3_1 (a2009))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a1985)) -> (~(c3_1 (a1985))) -> (~(c0_1 (a1985))) -> (~(c0_1 (a1983))) -> (~(c1_1 (a1983))) -> (c3_1 (a1983)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((hskp29)\/(hskp6))) -> (~(hskp6)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((hskp23)\/(hskp6))) -> (~(c2_1 (a1977))) -> (~(c3_1 (a1977))) -> (c1_1 (a1977)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp21))) -> False). % 0.78/0.93 do 0 intro. intros zenon_H129 zenon_H1e9 zenon_Hbc zenon_H186 zenon_H1d6 zenon_H193 zenon_H192 zenon_H191 zenon_H19b zenon_H19c zenon_H19d zenon_H1a4 zenon_H74 zenon_H1e2 zenon_H20a zenon_H20c zenon_H20d zenon_H1d4. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Ha. zenon_intro zenon_H12a. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H110. zenon_intro zenon_H12b. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H1e6 ]. % 0.78/0.93 apply (zenon_L283_); trivial. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_Ha. zenon_intro zenon_H1e7. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H1db. zenon_intro zenon_H1e8. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H1d9. zenon_intro zenon_H1da. % 0.78/0.93 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb7 ]. % 0.78/0.93 apply (zenon_L176_); trivial. % 0.78/0.93 apply (zenon_L309_); trivial. % 0.78/0.93 (* end of lemma zenon_L310_ *) % 0.78/0.93 assert (zenon_L311_ : ((ndr1_0)/\((c1_1 (a1985))/\((~(c0_1 (a1985)))/\(~(c3_1 (a1985)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a2009))/\((~(c1_1 (a2009)))/\(~(c3_1 (a2009))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((hskp23)\/(hskp6))) -> (~(c2_1 (a1977))) -> (~(c3_1 (a1977))) -> (c1_1 (a1977)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(c0_1 (a1983))) -> (~(c1_1 (a1983))) -> (c3_1 (a1983)) -> (~(hskp6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((hskp29)\/(hskp6))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> False). % 0.78/0.93 do 0 intro. intros zenon_H1b8 zenon_H12c zenon_H1e9 zenon_Hbc zenon_H1d6 zenon_H1e2 zenon_H20a zenon_H20c zenon_H20d zenon_H1d4 zenon_H186 zenon_H2d zenon_H19b zenon_H19c zenon_H19d zenon_H74 zenon_H1a4 zenon_H51 zenon_Hc5. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha. zenon_intro zenon_H1b9. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H193. zenon_intro zenon_H1ba. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H191. zenon_intro zenon_H192. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.93 apply (zenon_L154_); trivial. % 0.78/0.93 apply (zenon_L310_); trivial. % 0.78/0.93 (* end of lemma zenon_L311_ *) % 0.78/0.93 assert (zenon_L312_ : ((ndr1_0)/\((c3_1 (a1983))/\((~(c0_1 (a1983)))/\(~(c1_1 (a1983)))))) -> ((~(hskp9))\/((ndr1_0)/\((c1_1 (a1985))/\((~(c0_1 (a1985)))/\(~(c3_1 (a1985))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a2009))/\((~(c1_1 (a2009)))/\(~(c3_1 (a2009))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((hskp23)\/(hskp6))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp21))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((hskp29)\/(hskp6))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12))) -> (~(c2_1 (a1977))) -> (c1_1 (a1977)) -> (~(c3_1 (a1977))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp9)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp12)\/(hskp0))) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a1989))/\((~(c0_1 (a1989)))/\(~(c3_1 (a1989))))))) -> False). % 0.78/0.93 do 0 intro. intros zenon_H1ee zenon_H1b6 zenon_H1d6 zenon_H12c zenon_H131 zenon_H1e9 zenon_Hbc zenon_H1e2 zenon_H1d4 zenon_H156 zenon_H1ea zenon_H16d zenon_H186 zenon_H2d zenon_H74 zenon_H1a4 zenon_H51 zenon_H20a zenon_H20d zenon_H20c zenon_H12d zenon_H67 zenon_Hc5 zenon_Hff zenon_Hfa zenon_Hf8 zenon_H127 zenon_H1a8. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Ha. zenon_intro zenon_H1ef. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H19d. zenon_intro zenon_H1f0. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H19b. zenon_intro zenon_H19c. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H65 | zenon_intro zenon_H1b8 ]. % 0.78/0.93 apply (zenon_L308_); trivial. % 0.78/0.93 apply (zenon_L311_); trivial. % 0.78/0.93 (* end of lemma zenon_L312_ *) % 0.78/0.93 assert (zenon_L313_ : ((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39)))))))) -> (c3_1 (a1979)) -> (~(c2_1 (a1979))) -> (~(c0_1 (a1979))) -> (~(c2_1 (a1977))) -> (~(c3_1 (a1977))) -> (c1_1 (a1977)) -> False). % 0.78/0.93 do 0 intro. intros zenon_H129 zenon_H1ea zenon_H1f3 zenon_H1f2 zenon_H1f1 zenon_H20a zenon_H20c zenon_H20d. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Ha. zenon_intro zenon_H12a. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H110. zenon_intro zenon_H12b. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H59 | zenon_intro zenon_H1eb ]. % 0.78/0.93 apply (zenon_L209_); trivial. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H10d | zenon_intro zenon_H1ce ]. % 0.78/0.93 apply (zenon_L73_); trivial. % 0.78/0.93 apply (zenon_L281_); trivial. % 0.78/0.93 (* end of lemma zenon_L313_ *) % 0.78/0.93 assert (zenon_L314_ : ((ndr1_0)/\((c1_1 (a1985))/\((~(c0_1 (a1985)))/\(~(c3_1 (a1985)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> (~(c0_1 (a1979))) -> (~(c2_1 (a1979))) -> (c3_1 (a1979)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12))) -> (~(c2_1 (a1977))) -> (~(c3_1 (a1977))) -> (c1_1 (a1977)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39)))))))) -> False). % 0.78/0.93 do 0 intro. intros zenon_H1b8 zenon_H12c zenon_H1f1 zenon_H1f2 zenon_H1f3 zenon_H51 zenon_H20a zenon_H20c zenon_H20d zenon_H1ea. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha. zenon_intro zenon_H1b9. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H193. zenon_intro zenon_H1ba. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H191. zenon_intro zenon_H192. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H59 | zenon_intro zenon_H1eb ]. % 0.78/0.93 apply (zenon_L209_); trivial. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H10d | zenon_intro zenon_H1ce ]. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H1c | zenon_intro zenon_H57 ]. % 0.78/0.93 apply (zenon_L131_); trivial. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H2e | zenon_intro zenon_H39 ]. % 0.78/0.93 apply (zenon_L211_); trivial. % 0.78/0.93 exact (zenon_H38 zenon_H39). % 0.78/0.93 apply (zenon_L281_); trivial. % 0.78/0.93 apply (zenon_L313_); trivial. % 0.78/0.93 (* end of lemma zenon_L314_ *) % 0.78/0.93 assert (zenon_L315_ : ((ndr1_0)/\((c3_1 (a1979))/\((~(c0_1 (a1979)))/\(~(c2_1 (a1979)))))) -> ((~(hskp9))\/((ndr1_0)/\((c1_1 (a1985))/\((~(c0_1 (a1985)))/\(~(c3_1 (a1985))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp9)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp12)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39)))))))) -> (c1_1 (a1977)) -> (~(c3_1 (a1977))) -> (~(c2_1 (a1977))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a1989))/\((~(c0_1 (a1989)))/\(~(c3_1 (a1989))))))) -> False). % 0.78/0.93 do 0 intro. intros zenon_H22c zenon_H1b6 zenon_H51 zenon_H67 zenon_Hff zenon_Hfa zenon_Hf8 zenon_H186 zenon_H2d zenon_H1ea zenon_H20d zenon_H20c zenon_H20a zenon_H178 zenon_H127 zenon_Hc5 zenon_H12c zenon_H1a8. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_Ha. zenon_intro zenon_H22d. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H1f3. zenon_intro zenon_H22e. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H22e). zenon_intro zenon_H1f1. zenon_intro zenon_H1f2. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H65 | zenon_intro zenon_H1b8 ]. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.93 apply (zenon_L210_); trivial. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H11c. zenon_intro zenon_H190. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H11a. zenon_intro zenon_H11b. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.93 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.93 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H176 | zenon_intro zenon_H183 ]. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H59 | zenon_intro zenon_H179 ]. % 0.78/0.93 apply (zenon_L209_); trivial. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H2e | zenon_intro zenon_H177 ]. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H59 | zenon_intro zenon_H1eb ]. % 0.78/0.93 apply (zenon_L209_); trivial. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H10d | zenon_intro zenon_H1ce ]. % 0.78/0.93 apply (zenon_L211_); trivial. % 0.78/0.93 apply (zenon_L281_); trivial. % 0.78/0.93 exact (zenon_H176 zenon_H177). % 0.78/0.93 apply (zenon_L147_); trivial. % 0.78/0.93 apply (zenon_L77_); trivial. % 0.78/0.93 apply (zenon_L68_); trivial. % 0.78/0.93 apply (zenon_L313_); trivial. % 0.78/0.93 apply (zenon_L314_); trivial. % 0.78/0.93 (* end of lemma zenon_L315_ *) % 0.78/0.93 assert (zenon_L316_ : ((~(hskp6))\/((ndr1_0)/\((c3_1 (a1979))/\((~(c0_1 (a1979)))/\(~(c2_1 (a1979))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> ((~(hskp9))\/((ndr1_0)/\((c1_1 (a1985))/\((~(c0_1 (a1985)))/\(~(c3_1 (a1985))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((hskp28)\/(hskp8))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1972))/\((c1_1 (a1972))/\(c3_1 (a1972)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a2009))/\((~(c1_1 (a2009)))/\(~(c3_1 (a2009))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((hskp23)\/(hskp6))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp21))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp9)\/(hskp11))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp13)\/(hskp17))) -> ((hskp30)\/((hskp27)\/(hskp6))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/((hskp6)\/(hskp18))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(hskp27))) -> (~(c2_1 (a1977))) -> (~(c3_1 (a1977))) -> (c1_1 (a1977)) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2000)))/\((~(c1_1 (a2000)))/\(~(c3_1 (a2000))))))) -> (~(hskp0)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp12)\/(hskp0))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a1989))/\((~(c0_1 (a1989)))/\(~(c3_1 (a1989))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((hskp29)\/(hskp6))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp9))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp8))\/((ndr1_0)/\((c3_1 (a1983))/\((~(c0_1 (a1983)))/\(~(c1_1 (a1983))))))) -> False). % 0.78/0.93 do 0 intro. intros zenon_H22f zenon_H178 zenon_H1b6 zenon_Hd2 zenon_H1d6 zenon_H22b zenon_Hee zenon_H12c zenon_H1e9 zenon_Hbc zenon_H1e2 zenon_H1d4 zenon_H1ea zenon_Hc5 zenon_H67 zenon_H12d zenon_H51 zenon_H50 zenon_H97 zenon_H76 zenon_H2d zenon_H8a zenon_H89 zenon_H219 zenon_H20a zenon_H20c zenon_H20d zenon_Hb5 zenon_Hb8 zenon_Hc0 zenon_Hf8 zenon_Hfa zenon_Hff zenon_H127 zenon_H1a8 zenon_H1a4 zenon_H186 zenon_H16d zenon_H156 zenon_H131 zenon_H207. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H74 | zenon_intro zenon_H22c ]. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H9d | zenon_intro zenon_H1ee ]. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H65 | zenon_intro zenon_H1b8 ]. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.93 apply (zenon_L286_); trivial. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H11c. zenon_intro zenon_H190. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H11a. zenon_intro zenon_H11b. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.93 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.93 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.93 apply (zenon_L275_); trivial. % 0.78/0.93 apply (zenon_L77_); trivial. % 0.78/0.93 apply (zenon_L68_); trivial. % 0.78/0.93 apply (zenon_L285_); trivial. % 0.78/0.93 apply (zenon_L300_); trivial. % 0.78/0.93 apply (zenon_L312_); trivial. % 0.78/0.93 apply (zenon_L315_); trivial. % 0.78/0.93 (* end of lemma zenon_L316_ *) % 0.78/0.93 assert (zenon_L317_ : (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V)))))) -> (ndr1_0) -> (~(c1_1 (a1975))) -> (~(c2_1 (a1975))) -> (c0_1 (a1975)) -> False). % 0.78/0.93 do 0 intro. intros zenon_H13e zenon_Ha zenon_H230 zenon_H231 zenon_H232. % 0.78/0.93 generalize (zenon_H13e (a1975)). zenon_intro zenon_H233. % 0.78/0.93 apply (zenon_imply_s _ _ zenon_H233); [ zenon_intro zenon_H9 | zenon_intro zenon_H234 ]. % 0.78/0.93 exact (zenon_H9 zenon_Ha). % 0.78/0.93 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H236 | zenon_intro zenon_H235 ]. % 0.78/0.93 exact (zenon_H230 zenon_H236). % 0.78/0.93 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H238 | zenon_intro zenon_H237 ]. % 0.78/0.93 exact (zenon_H231 zenon_H238). % 0.78/0.93 exact (zenon_H237 zenon_H232). % 0.78/0.93 (* end of lemma zenon_L317_ *) % 0.78/0.93 assert (zenon_L318_ : ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (c0_1 (a1975)) -> (~(c2_1 (a1975))) -> (~(c1_1 (a1975))) -> (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33)))))) -> (ndr1_0) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> False). % 0.78/0.93 do 0 intro. intros zenon_H157 zenon_H232 zenon_H231 zenon_H230 zenon_Hb zenon_Ha zenon_H145 zenon_H146 zenon_H147. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H13e | zenon_intro zenon_H159 ]. % 0.78/0.93 apply (zenon_L317_); trivial. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H144 | zenon_intro zenon_H153 ]. % 0.78/0.93 apply (zenon_L89_); trivial. % 0.78/0.93 apply (zenon_L90_); trivial. % 0.78/0.93 (* end of lemma zenon_L318_ *) % 0.78/0.93 assert (zenon_L319_ : ((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (c3_1 (a1987)) -> (c2_1 (a1987)) -> (~(c1_1 (a1987))) -> (~(c1_1 (a1975))) -> (~(c2_1 (a1975))) -> (c0_1 (a1975)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (~(hskp17)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp19)) -> False). % 0.78/0.93 do 0 intro. intros zenon_H8b zenon_H156 zenon_H147 zenon_H146 zenon_H145 zenon_H230 zenon_H231 zenon_H232 zenon_H157 zenon_H2b zenon_H2d zenon_H3. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Ha. zenon_intro zenon_H8c. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H78. zenon_intro zenon_H8d. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb | zenon_intro zenon_H158 ]. % 0.78/0.93 apply (zenon_L318_); trivial. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H79 | zenon_intro zenon_H4 ]. % 0.78/0.93 apply (zenon_L34_); trivial. % 0.78/0.93 exact (zenon_H3 zenon_H4). % 0.78/0.93 (* end of lemma zenon_L319_ *) % 0.78/0.93 assert (zenon_L320_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(hskp19)) -> (~(hskp17)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(c1_1 (a1975))) -> (~(c2_1 (a1975))) -> (c0_1 (a1975)) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (~(hskp27)) -> (~(hskp6)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> False). % 0.78/0.93 do 0 intro. intros zenon_H89 zenon_H156 zenon_H3 zenon_H2b zenon_H2d zenon_H230 zenon_H231 zenon_H232 zenon_H145 zenon_H146 zenon_H147 zenon_H157 zenon_H3c zenon_H74 zenon_H76. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H72 | zenon_intro zenon_H8b ]. % 0.78/0.93 apply (zenon_L32_); trivial. % 0.78/0.93 apply (zenon_L319_); trivial. % 0.78/0.93 (* end of lemma zenon_L320_ *) % 0.78/0.93 assert (zenon_L321_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp13)\/(hskp17))) -> (~(hskp13)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> (~(hskp6)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (c3_1 (a1987)) -> (c2_1 (a1987)) -> (~(c1_1 (a1987))) -> (c0_1 (a1975)) -> (~(c2_1 (a1975))) -> (~(c1_1 (a1975))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp17)) -> (~(hskp19)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> False). % 0.78/0.93 do 0 intro. intros zenon_H50 zenon_H97 zenon_H15 zenon_H76 zenon_H74 zenon_H157 zenon_H147 zenon_H146 zenon_H145 zenon_H232 zenon_H231 zenon_H230 zenon_H2d zenon_H2b zenon_H3 zenon_H156 zenon_H89. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H3c | zenon_intro zenon_H4a ]. % 0.78/0.93 apply (zenon_L320_); trivial. % 0.78/0.93 apply (zenon_L39_); trivial. % 0.78/0.93 (* end of lemma zenon_L321_ *) % 0.78/0.93 assert (zenon_L322_ : ((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp9))) -> (~(c0_1 (a1998))) -> (c3_1 (a1998)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (c3_1 (a1987)) -> (c2_1 (a1987)) -> (~(c1_1 (a1987))) -> (~(c1_1 (a1975))) -> (~(c2_1 (a1975))) -> (c0_1 (a1975)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (~(hskp9)) -> False). % 0.78/0.93 do 0 intro. intros zenon_Hb7 zenon_H16d zenon_H58 zenon_H5a zenon_H12d zenon_H147 zenon_H146 zenon_H145 zenon_H230 zenon_H231 zenon_H232 zenon_H157 zenon_H65. % 0.78/0.93 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Ha. zenon_intro zenon_Hb9. % 0.78/0.93 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Had. zenon_intro zenon_Hba. % 0.78/0.93 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Hae. zenon_intro zenon_Hac. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H59 | zenon_intro zenon_H16e ]. % 0.78/0.93 apply (zenon_L85_); trivial. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_Hb | zenon_intro zenon_H66 ]. % 0.78/0.93 apply (zenon_L318_); trivial. % 0.78/0.93 exact (zenon_H65 zenon_H66). % 0.78/0.93 (* end of lemma zenon_L322_ *) % 0.78/0.93 assert (zenon_L323_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (c3_1 (a1987)) -> (c2_1 (a1987)) -> (~(c1_1 (a1987))) -> (~(c1_1 (a1975))) -> (~(c2_1 (a1975))) -> (c0_1 (a1975)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (~(c2_1 (a1990))) -> (c3_1 (a1990)) -> (~(c1_1 (a1990))) -> (ndr1_0) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))) -> (~(hskp19)) -> False). % 0.78/0.93 do 0 intro. intros zenon_H156 zenon_H147 zenon_H146 zenon_H145 zenon_H230 zenon_H231 zenon_H232 zenon_H157 zenon_H10f zenon_H110 zenon_H10e zenon_Ha zenon_H59 zenon_H3. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb | zenon_intro zenon_H158 ]. % 0.78/0.93 apply (zenon_L318_); trivial. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H79 | zenon_intro zenon_H4 ]. % 0.78/0.93 apply (zenon_L103_); trivial. % 0.78/0.93 exact (zenon_H3 zenon_H4). % 0.78/0.93 (* end of lemma zenon_L323_ *) % 0.78/0.93 assert (zenon_L324_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp9))) -> (~(hskp19)) -> (~(c1_1 (a1990))) -> (c3_1 (a1990)) -> (~(c2_1 (a1990))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (c3_1 (a1987)) -> (c2_1 (a1987)) -> (~(c1_1 (a1987))) -> (ndr1_0) -> (~(c1_1 (a1975))) -> (~(c2_1 (a1975))) -> (c0_1 (a1975)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (~(hskp9)) -> False). % 0.78/0.93 do 0 intro. intros zenon_H16d zenon_H3 zenon_H10e zenon_H110 zenon_H10f zenon_H156 zenon_H147 zenon_H146 zenon_H145 zenon_Ha zenon_H230 zenon_H231 zenon_H232 zenon_H157 zenon_H65. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H59 | zenon_intro zenon_H16e ]. % 0.78/0.93 apply (zenon_L323_); trivial. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_Hb | zenon_intro zenon_H66 ]. % 0.78/0.93 apply (zenon_L318_); trivial. % 0.78/0.93 exact (zenon_H65 zenon_H66). % 0.78/0.93 (* end of lemma zenon_L324_ *) % 0.78/0.93 assert (zenon_L325_ : ((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(c1_1 (a1975))) -> (~(c2_1 (a1975))) -> (c0_1 (a1975)) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (~(hskp9)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp9))) -> False). % 0.78/0.93 do 0 intro. intros zenon_H129 zenon_H131 zenon_Hbc zenon_H12d zenon_H9b zenon_H9d zenon_H9f zenon_H156 zenon_H230 zenon_H231 zenon_H232 zenon_H145 zenon_H146 zenon_H147 zenon_H157 zenon_H65 zenon_H16d. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Ha. zenon_intro zenon_H12a. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H110. zenon_intro zenon_H12b. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H3 | zenon_intro zenon_H12e ]. % 0.78/0.93 apply (zenon_L324_); trivial. % 0.78/0.93 apply (zenon_L83_); trivial. % 0.78/0.93 (* end of lemma zenon_L325_ *) % 0.78/0.93 assert (zenon_L326_ : ((ndr1_0)/\((c2_1 (a1987))/\((c3_1 (a1987))/\(~(c1_1 (a1987)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp9))) -> (~(hskp9)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp13)\/(hskp17))) -> ((hskp30)\/((hskp27)\/(hskp6))) -> (~(hskp6)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (c0_1 (a1975)) -> (~(c2_1 (a1975))) -> (~(c1_1 (a1975))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((hskp23)\/((hskp5)\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> (~(hskp0)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp12)\/(hskp0))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> False). % 0.78/0.93 do 0 intro. intros zenon_H1b3 zenon_H12c zenon_Hc5 zenon_H16d zenon_H65 zenon_H50 zenon_H97 zenon_H76 zenon_H74 zenon_H157 zenon_H232 zenon_H231 zenon_H230 zenon_H2d zenon_H156 zenon_H89 zenon_H9f zenon_H9d zenon_H9b zenon_H12d zenon_Hbc zenon_H131 zenon_Hf8 zenon_Hfa zenon_Hff. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_Ha. zenon_intro zenon_H1b4. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H146. zenon_intro zenon_H1b5. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H147. zenon_intro zenon_H145. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.93 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.93 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H3 | zenon_intro zenon_H12e ]. % 0.78/0.93 apply (zenon_L321_); trivial. % 0.78/0.93 apply (zenon_L83_); trivial. % 0.78/0.93 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2. % 0.78/0.93 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc3. % 0.78/0.93 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.78/0.93 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb7 ]. % 0.78/0.93 apply (zenon_L44_); trivial. % 0.78/0.93 apply (zenon_L322_); trivial. % 0.78/0.93 apply (zenon_L68_); trivial. % 0.78/0.93 apply (zenon_L325_); trivial. % 0.78/0.93 (* end of lemma zenon_L326_ *) % 0.78/0.93 assert (zenon_L327_ : ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> (c0_1 (a1975)) -> (~(c2_1 (a1975))) -> (~(c1_1 (a1975))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp5)) -> False). % 0.78/0.93 do 0 intro. intros zenon_H18b zenon_H232 zenon_H231 zenon_H230 zenon_Ha zenon_H72 zenon_H9b. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H13e | zenon_intro zenon_H18c ]. % 0.78/0.93 apply (zenon_L317_); trivial. % 0.78/0.93 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H73 | zenon_intro zenon_H9c ]. % 0.78/0.93 exact (zenon_H72 zenon_H73). % 0.78/0.93 exact (zenon_H9b zenon_H9c). % 0.78/0.93 (* end of lemma zenon_L327_ *) % 0.78/0.93 assert (zenon_L328_ : ((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a1985)) -> (~(c3_1 (a1985))) -> (~(c0_1 (a1985))) -> (c1_1 (a2014)) -> (c0_1 (a2014)) -> (~(c2_1 (a2014))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/((hskp6)\/(hskp18))) -> (~(hskp6)) -> (~(hskp18)) -> False). % 0.78/0.93 do 0 intro. intros zenon_H8b zenon_H1d6 zenon_H193 zenon_H192 zenon_H191 zenon_Hae zenon_Had zenon_Hac zenon_H8a zenon_H74 zenon_H87. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Ha. zenon_intro zenon_H8c. % 0.78/0.93 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H78. zenon_intro zenon_H8d. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1c | zenon_intro zenon_H1d7 ]. % 0.78/0.94 apply (zenon_L131_); trivial. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_Hab | zenon_intro zenon_H1b ]. % 0.78/0.94 apply (zenon_L46_); trivial. % 0.78/0.94 apply (zenon_L289_); trivial. % 0.78/0.94 (* end of lemma zenon_L328_ *) % 0.78/0.94 assert (zenon_L329_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (~(hskp6)) -> (~(hskp18)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/((hskp6)\/(hskp18))) -> (c1_1 (a1985)) -> (~(c3_1 (a1985))) -> (~(c0_1 (a1985))) -> (~(c1_1 (a1975))) -> (~(c2_1 (a1975))) -> (c0_1 (a1975)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> False). % 0.78/0.94 do 0 intro. intros zenon_Hbc zenon_H89 zenon_H1d6 zenon_H74 zenon_H87 zenon_H8a zenon_H193 zenon_H192 zenon_H191 zenon_H230 zenon_H231 zenon_H232 zenon_H18b zenon_H9b zenon_H9d zenon_H9f. % 0.78/0.94 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb7 ]. % 0.78/0.94 apply (zenon_L44_); trivial. % 0.78/0.94 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Ha. zenon_intro zenon_Hb9. % 0.78/0.94 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Had. zenon_intro zenon_Hba. % 0.78/0.94 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Hae. zenon_intro zenon_Hac. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H72 | zenon_intro zenon_H8b ]. % 0.78/0.94 apply (zenon_L327_); trivial. % 0.78/0.94 apply (zenon_L328_); trivial. % 0.78/0.94 (* end of lemma zenon_L329_ *) % 0.78/0.94 assert (zenon_L330_ : ((ndr1_0)/\((c1_1 (a1985))/\((~(c0_1 (a1985)))/\(~(c3_1 (a1985)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2000)))/\((~(c1_1 (a2000)))/\(~(c3_1 (a2000))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> (c0_1 (a1975)) -> (~(c2_1 (a1975))) -> (~(c1_1 (a1975))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/((hskp6)\/(hskp18))) -> (~(hskp6)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> False). % 0.78/0.94 do 0 intro. intros zenon_H1b8 zenon_Hc0 zenon_Hb8 zenon_Hb5 zenon_H9f zenon_H9d zenon_H9b zenon_H18b zenon_H232 zenon_H231 zenon_H230 zenon_H8a zenon_H74 zenon_H1d6 zenon_H89 zenon_Hbc. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha. zenon_intro zenon_H1b9. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H193. zenon_intro zenon_H1ba. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H191. zenon_intro zenon_H192. % 0.78/0.94 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H87 | zenon_intro zenon_Hbd ]. % 0.78/0.94 apply (zenon_L329_); trivial. % 0.78/0.94 apply (zenon_L50_); trivial. % 0.78/0.94 (* end of lemma zenon_L330_ *) % 0.78/0.94 assert (zenon_L331_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((hskp13)\/(hskp20))) -> (c3_1 (a1987)) -> (c2_1 (a1987)) -> (~(c1_1 (a1987))) -> (ndr1_0) -> (~(c1_1 (a1975))) -> (~(c2_1 (a1975))) -> (c0_1 (a1975)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (~(hskp13)) -> (~(hskp20)) -> False). % 0.78/0.94 do 0 intro. intros zenon_H19 zenon_H147 zenon_H146 zenon_H145 zenon_Ha zenon_H230 zenon_H231 zenon_H232 zenon_H157 zenon_H15 zenon_H17. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H19); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a ]. % 0.78/0.94 apply (zenon_L318_); trivial. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H1a); [ zenon_intro zenon_H16 | zenon_intro zenon_H18 ]. % 0.78/0.94 exact (zenon_H15 zenon_H16). % 0.78/0.94 exact (zenon_H17 zenon_H18). % 0.78/0.94 (* end of lemma zenon_L331_ *) % 0.78/0.94 assert (zenon_L332_ : ((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (c3_1 (a1983)) -> (~(c1_1 (a1983))) -> (~(c0_1 (a1983))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (c3_1 (a1987)) -> (c2_1 (a1987)) -> (~(c1_1 (a1987))) -> (c0_1 (a1975)) -> (~(c2_1 (a1975))) -> (~(c1_1 (a1975))) -> (~(hskp13)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((hskp13)\/(hskp20))) -> False). % 0.78/0.94 do 0 intro. intros zenon_Hc1 zenon_H4f zenon_H1a6 zenon_H9b zenon_H127 zenon_H19d zenon_H19c zenon_H19b zenon_H157 zenon_H147 zenon_H146 zenon_H145 zenon_H232 zenon_H231 zenon_H230 zenon_H15 zenon_H19. % 0.78/0.94 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2. % 0.78/0.94 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc3. % 0.78/0.94 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H17 | zenon_intro zenon_H53 ]. % 0.78/0.94 apply (zenon_L331_); trivial. % 0.78/0.94 apply (zenon_L149_); trivial. % 0.78/0.94 (* end of lemma zenon_L332_ *) % 0.78/0.94 assert (zenon_L333_ : ((ndr1_0)/\((c3_1 (a1983))/\((~(c0_1 (a1983)))/\(~(c1_1 (a1983)))))) -> ((~(hskp9))\/((ndr1_0)/\((c1_1 (a1985))/\((~(c0_1 (a1985)))/\(~(c3_1 (a1985))))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a1987))/\((c3_1 (a1987))/\(~(c1_1 (a1987))))))) -> (~(c1_1 (a1975))) -> (~(c2_1 (a1975))) -> (c0_1 (a1975)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12))) -> (~(hskp1)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((hskp1)\/(hskp10))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((hskp29)\/(hskp6))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp9)\/(hskp11))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((hskp13)\/(hskp20))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a1989))/\((~(c0_1 (a1989)))/\(~(c3_1 (a1989))))))) -> False). % 0.78/0.94 do 0 intro. intros zenon_H1ee zenon_H1b6 zenon_H1b7 zenon_H230 zenon_H231 zenon_H232 zenon_H157 zenon_H51 zenon_Hb5 zenon_H117 zenon_H12c zenon_Hff zenon_H186 zenon_H2d zenon_H74 zenon_H1a4 zenon_H67 zenon_H19 zenon_H127 zenon_H9b zenon_H1a6 zenon_H4f zenon_Hc5 zenon_H1a8. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Ha. zenon_intro zenon_H1ef. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H19d. zenon_intro zenon_H1f0. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H19b. zenon_intro zenon_H19c. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H65 | zenon_intro zenon_H1b8 ]. % 0.78/0.94 apply (zenon_L153_); trivial. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha. zenon_intro zenon_H1b9. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H193. zenon_intro zenon_H1ba. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H191. zenon_intro zenon_H192. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H6e | zenon_intro zenon_H1b3 ]. % 0.78/0.94 apply (zenon_L155_); trivial. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_Ha. zenon_intro zenon_H1b4. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H146. zenon_intro zenon_H1b5. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H147. zenon_intro zenon_H145. % 0.78/0.94 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.94 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.94 apply (zenon_L148_); trivial. % 0.78/0.94 apply (zenon_L332_); trivial. % 0.78/0.94 apply (zenon_L150_); trivial. % 0.78/0.94 (* end of lemma zenon_L333_ *) % 0.78/0.94 assert (zenon_L334_ : ((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9)))))))) -> (c3_1 (a1979)) -> (~(c2_1 (a1979))) -> (~(c0_1 (a1979))) -> (c0_1 (a1975)) -> (~(c2_1 (a1975))) -> (~(c1_1 (a1975))) -> False). % 0.78/0.94 do 0 intro. intros zenon_Hb7 zenon_H204 zenon_H1f3 zenon_H1f2 zenon_H1f1 zenon_H232 zenon_H231 zenon_H230. % 0.78/0.94 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Ha. zenon_intro zenon_Hb9. % 0.78/0.94 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Had. zenon_intro zenon_Hba. % 0.78/0.94 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Hae. zenon_intro zenon_Hac. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H59 | zenon_intro zenon_H205 ]. % 0.78/0.94 apply (zenon_L209_); trivial. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H13e | zenon_intro zenon_Hab ]. % 0.78/0.94 apply (zenon_L317_); trivial. % 0.78/0.94 apply (zenon_L46_); trivial. % 0.78/0.94 (* end of lemma zenon_L334_ *) % 0.78/0.94 assert (zenon_L335_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9)))))))) -> (c0_1 (a1975)) -> (~(c2_1 (a1975))) -> (~(c1_1 (a1975))) -> (c3_1 (a1979)) -> (~(c2_1 (a1979))) -> (~(c0_1 (a1979))) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> False). % 0.78/0.94 do 0 intro. intros zenon_Hbc zenon_H204 zenon_H232 zenon_H231 zenon_H230 zenon_H1f3 zenon_H1f2 zenon_H1f1 zenon_H9b zenon_H9d zenon_H9f. % 0.78/0.94 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb7 ]. % 0.78/0.94 apply (zenon_L44_); trivial. % 0.78/0.94 apply (zenon_L334_); trivial. % 0.78/0.94 (* end of lemma zenon_L335_ *) % 0.78/0.94 assert (zenon_L336_ : ((ndr1_0)/\((c2_1 (a1987))/\((c3_1 (a1987))/\(~(c1_1 (a1987)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp9))) -> (c3_1 (a1979)) -> (~(c2_1 (a1979))) -> (~(c0_1 (a1979))) -> (~(c1_1 (a1975))) -> (~(c2_1 (a1975))) -> (c0_1 (a1975)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (~(hskp9)) -> False). % 0.78/0.94 do 0 intro. intros zenon_H1b3 zenon_H16d zenon_H1f3 zenon_H1f2 zenon_H1f1 zenon_H230 zenon_H231 zenon_H232 zenon_H157 zenon_H65. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_Ha. zenon_intro zenon_H1b4. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H146. zenon_intro zenon_H1b5. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H147. zenon_intro zenon_H145. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H59 | zenon_intro zenon_H16e ]. % 0.78/0.94 apply (zenon_L209_); trivial. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_Hb | zenon_intro zenon_H66 ]. % 0.78/0.94 apply (zenon_L318_); trivial. % 0.78/0.94 exact (zenon_H65 zenon_H66). % 0.78/0.94 (* end of lemma zenon_L336_ *) % 0.78/0.94 assert (zenon_L337_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a1987))/\((c3_1 (a1987))/\(~(c1_1 (a1987))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp9))) -> (~(c1_1 (a1975))) -> (~(c2_1 (a1975))) -> (c0_1 (a1975)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp9)\/(hskp11))) -> (~(hskp9)) -> (c3_1 (a1979)) -> (~(c2_1 (a1979))) -> (~(c0_1 (a1979))) -> (ndr1_0) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> (~(hskp1)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((hskp1)\/(hskp10))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> (~(c0_1 (a1983))) -> (~(c1_1 (a1983))) -> (c3_1 (a1983)) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a1989))/\((~(c0_1 (a1989)))/\(~(c3_1 (a1989))))))) -> False). % 0.78/0.94 do 0 intro. intros zenon_H1b7 zenon_H16d zenon_H230 zenon_H231 zenon_H232 zenon_H157 zenon_H67 zenon_H65 zenon_H1f3 zenon_H1f2 zenon_H1f1 zenon_Ha zenon_Hc5 zenon_H127 zenon_H178 zenon_Hb5 zenon_H117 zenon_H2d zenon_H186 zenon_H19b zenon_H19c zenon_H19d zenon_H9b zenon_H1a6 zenon_Hff zenon_H1a8. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H6e | zenon_intro zenon_H1b3 ]. % 0.78/0.94 apply (zenon_L236_); trivial. % 0.78/0.94 apply (zenon_L336_); trivial. % 0.78/0.94 (* end of lemma zenon_L337_ *) % 0.78/0.94 assert (zenon_L338_ : ((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> (c3_1 (a1983)) -> (~(c1_1 (a1983))) -> (~(c0_1 (a1983))) -> (~(hskp14)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp17)) -> (~(c3_1 (a2003))) -> (c2_1 (a2003)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> (~(hskp5)) -> False). % 0.78/0.94 do 0 intro. intros zenon_H8b zenon_H1a6 zenon_H19d zenon_H19c zenon_H19b zenon_H6c zenon_H2d zenon_H2b zenon_H1d zenon_H1f zenon_H174 zenon_H9b. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Ha. zenon_intro zenon_H8c. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H78. zenon_intro zenon_H8d. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H19a | zenon_intro zenon_H1a7 ]. % 0.78/0.94 apply (zenon_L145_); trivial. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H9c ]. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H119 | zenon_intro zenon_H175 ]. % 0.78/0.94 apply (zenon_L107_); trivial. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H79 | zenon_intro zenon_H6d ]. % 0.78/0.94 apply (zenon_L34_); trivial. % 0.78/0.94 exact (zenon_H6c zenon_H6d). % 0.78/0.94 exact (zenon_H9b zenon_H9c). % 0.78/0.94 (* end of lemma zenon_L338_ *) % 0.78/0.94 assert (zenon_L339_ : ((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp17)) -> (~(hskp14)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> (c3_1 (a1983)) -> (~(c1_1 (a1983))) -> (~(c0_1 (a1983))) -> (~(c1_1 (a1975))) -> (~(c2_1 (a1975))) -> (c0_1 (a1975)) -> (~(hskp5)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> False). % 0.78/0.94 do 0 intro. intros zenon_H53 zenon_H89 zenon_H1a6 zenon_H2d zenon_H2b zenon_H6c zenon_H174 zenon_H19d zenon_H19c zenon_H19b zenon_H230 zenon_H231 zenon_H232 zenon_H9b zenon_H18b. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_Ha. zenon_intro zenon_H54. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H1e. zenon_intro zenon_H55. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H1f. zenon_intro zenon_H1d. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H72 | zenon_intro zenon_H8b ]. % 0.78/0.94 apply (zenon_L327_); trivial. % 0.78/0.94 apply (zenon_L338_); trivial. % 0.78/0.94 (* end of lemma zenon_L339_ *) % 0.78/0.94 assert (zenon_L340_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((hskp13)\/(hskp20))) -> (~(hskp13)) -> (ndr1_0) -> (~(c1_1 (a1975))) -> (~(c2_1 (a1975))) -> (c0_1 (a1975)) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a1983))) -> (~(c1_1 (a1983))) -> (c3_1 (a1983)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> False). % 0.78/0.94 do 0 intro. intros zenon_Hc5 zenon_H127 zenon_H19 zenon_H15 zenon_Ha zenon_H230 zenon_H231 zenon_H232 zenon_H145 zenon_H146 zenon_H147 zenon_H157 zenon_H18b zenon_H9b zenon_H19b zenon_H19c zenon_H19d zenon_H174 zenon_H6c zenon_H2d zenon_H1a6 zenon_H89 zenon_H4f. % 0.78/0.94 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H17 | zenon_intro zenon_H53 ]. % 0.78/0.94 apply (zenon_L331_); trivial. % 0.78/0.94 apply (zenon_L339_); trivial. % 0.78/0.94 apply (zenon_L332_); trivial. % 0.78/0.94 (* end of lemma zenon_L340_ *) % 0.78/0.94 assert (zenon_L341_ : ((ndr1_0)/\((c2_1 (a1987))/\((c3_1 (a1987))/\(~(c1_1 (a1987)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> (~(c0_1 (a1979))) -> (~(c2_1 (a1979))) -> (c3_1 (a1979)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39)))))))) -> (c0_1 (a1981)) -> (c1_1 (a1981)) -> (~(c3_1 (a1981))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((hskp13)\/(hskp20))) -> (~(c1_1 (a1975))) -> (~(c2_1 (a1975))) -> (c0_1 (a1975)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (~(c0_1 (a1983))) -> (~(c1_1 (a1983))) -> (c3_1 (a1983)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> False). % 0.78/0.94 do 0 intro. intros zenon_H1b3 zenon_Hff zenon_H186 zenon_H1f1 zenon_H1f2 zenon_H1f3 zenon_H1ea zenon_H1bb zenon_H1bc zenon_H1c8 zenon_H2d zenon_H178 zenon_H19 zenon_H230 zenon_H231 zenon_H232 zenon_H157 zenon_H19b zenon_H19c zenon_H19d zenon_H127 zenon_H9b zenon_H1a6 zenon_H4f zenon_Hc5. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_Ha. zenon_intro zenon_H1b4. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H146. zenon_intro zenon_H1b5. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H147. zenon_intro zenon_H145. % 0.78/0.94 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.94 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.94 apply (zenon_L263_); trivial. % 0.78/0.94 apply (zenon_L332_); trivial. % 0.78/0.94 apply (zenon_L150_); trivial. % 0.78/0.94 (* end of lemma zenon_L341_ *) % 0.78/0.94 assert (zenon_L342_ : (forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))) -> (ndr1_0) -> (~(c1_1 (a1971))) -> (c0_1 (a1971)) -> (c2_1 (a1971)) -> False). % 0.78/0.94 do 0 intro. intros zenon_H144 zenon_Ha zenon_H239 zenon_H23a zenon_H23b. % 0.78/0.94 generalize (zenon_H144 (a1971)). zenon_intro zenon_H23c. % 0.78/0.94 apply (zenon_imply_s _ _ zenon_H23c); [ zenon_intro zenon_H9 | zenon_intro zenon_H23d ]. % 0.78/0.94 exact (zenon_H9 zenon_Ha). % 0.78/0.94 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H23f | zenon_intro zenon_H23e ]. % 0.78/0.94 exact (zenon_H239 zenon_H23f). % 0.78/0.94 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H241 | zenon_intro zenon_H240 ]. % 0.78/0.94 exact (zenon_H241 zenon_H23a). % 0.78/0.94 exact (zenon_H240 zenon_H23b). % 0.78/0.94 (* end of lemma zenon_L342_ *) % 0.78/0.94 assert (zenon_L343_ : ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/((hskp10)\/(hskp11))) -> (c2_1 (a1971)) -> (c0_1 (a1971)) -> (~(c1_1 (a1971))) -> (ndr1_0) -> (~(hskp10)) -> (~(hskp11)) -> False). % 0.78/0.94 do 0 intro. intros zenon_H242 zenon_H23b zenon_H23a zenon_H239 zenon_Ha zenon_H6e zenon_H48. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H144 | zenon_intro zenon_H243 ]. % 0.78/0.94 apply (zenon_L342_); trivial. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H6f | zenon_intro zenon_H49 ]. % 0.78/0.94 exact (zenon_H6e zenon_H6f). % 0.78/0.94 exact (zenon_H48 zenon_H49). % 0.78/0.94 (* end of lemma zenon_L343_ *) % 0.78/0.94 assert (zenon_L344_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> (~(hskp14)) -> (~(hskp17)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (c2_1 (a1989)) -> (~(c3_1 (a1989))) -> (~(c0_1 (a1989))) -> (~(hskp27)) -> (~(hskp6)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> False). % 0.78/0.94 do 0 intro. intros zenon_H89 zenon_H174 zenon_H6c zenon_H2b zenon_H2d zenon_H11c zenon_H11b zenon_H11a zenon_H3c zenon_H74 zenon_H76. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H72 | zenon_intro zenon_H8b ]. % 0.78/0.94 apply (zenon_L32_); trivial. % 0.78/0.94 apply (zenon_L218_); trivial. % 0.78/0.94 (* end of lemma zenon_L344_ *) % 0.78/0.94 assert (zenon_L345_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (c2_1 (a1989)) -> (~(c3_1 (a1989))) -> (~(c0_1 (a1989))) -> (~(hskp6)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> (~(hskp13)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> False). % 0.78/0.94 do 0 intro. intros zenon_Hc5 zenon_H89 zenon_H174 zenon_H6c zenon_H2d zenon_H11c zenon_H11b zenon_H11a zenon_H74 zenon_H76 zenon_H15 zenon_H127 zenon_H50. % 0.78/0.94 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H3c | zenon_intro zenon_H4a ]. % 0.78/0.94 apply (zenon_L344_); trivial. % 0.78/0.94 apply (zenon_L190_); trivial. % 0.78/0.94 apply (zenon_L77_); trivial. % 0.78/0.94 (* end of lemma zenon_L345_ *) % 0.78/0.94 assert (zenon_L346_ : ((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (~(hskp20)) -> (c0_1 (a1996)) -> (~(c2_1 (a1996))) -> (c3_1 (a1996)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (c2_1 (a1971)) -> (c0_1 (a1971)) -> (~(c1_1 (a1971))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp17)) -> False). % 0.78/0.94 do 0 intro. intros zenon_H8b zenon_H157 zenon_H17 zenon_H13f zenon_H135 zenon_H137 zenon_H161 zenon_H23b zenon_H23a zenon_H239 zenon_H2d zenon_H2b. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Ha. zenon_intro zenon_H8c. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H78. zenon_intro zenon_H8d. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H13e | zenon_intro zenon_H159 ]. % 0.78/0.94 apply (zenon_L98_); trivial. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H144 | zenon_intro zenon_H153 ]. % 0.78/0.94 apply (zenon_L342_); trivial. % 0.78/0.94 apply (zenon_L101_); trivial. % 0.78/0.94 (* end of lemma zenon_L346_ *) % 0.78/0.94 assert (zenon_L347_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (~(hskp17)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (c2_1 (a1971)) -> (c0_1 (a1971)) -> (~(c1_1 (a1971))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (~(hskp20)) -> (c0_1 (a1996)) -> (c3_1 (a1996)) -> (~(c2_1 (a1996))) -> (ndr1_0) -> (~(hskp5)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> False). % 0.78/0.94 do 0 intro. intros zenon_H89 zenon_H157 zenon_H2b zenon_H2d zenon_H23b zenon_H23a zenon_H239 zenon_H161 zenon_H17 zenon_H13f zenon_H137 zenon_H135 zenon_Ha zenon_H9b zenon_H18b. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H72 | zenon_intro zenon_H8b ]. % 0.78/0.94 apply (zenon_L118_); trivial. % 0.78/0.94 apply (zenon_L346_); trivial. % 0.78/0.94 (* end of lemma zenon_L347_ *) % 0.78/0.94 assert (zenon_L348_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> (c1_1 (a1992)) -> (~(c2_1 (a1992))) -> (~(c0_1 (a1992))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> (~(hskp5)) -> (ndr1_0) -> (~(c2_1 (a1996))) -> (c3_1 (a1996)) -> (c0_1 (a1996)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (~(c1_1 (a1971))) -> (c0_1 (a1971)) -> (c2_1 (a1971)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp17)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> False). % 0.78/0.94 do 0 intro. intros zenon_H4f zenon_Hea zenon_He7 zenon_H3a zenon_H172 zenon_Hc9 zenon_Hc8 zenon_Hc7 zenon_H18b zenon_H9b zenon_Ha zenon_H135 zenon_H137 zenon_H13f zenon_H161 zenon_H239 zenon_H23a zenon_H23b zenon_H2d zenon_H2b zenon_H157 zenon_H89. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H17 | zenon_intro zenon_H53 ]. % 0.78/0.94 apply (zenon_L347_); trivial. % 0.78/0.94 apply (zenon_L121_); trivial. % 0.78/0.94 (* end of lemma zenon_L348_ *) % 0.78/0.94 assert (zenon_L349_ : ((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp13)) -> (c2_1 (a1989)) -> (~(c3_1 (a1989))) -> (~(c0_1 (a1989))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (c2_1 (a1971)) -> (c0_1 (a1971)) -> (~(c1_1 (a1971))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (~(hskp5)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> (~(c0_1 (a1992))) -> (~(c2_1 (a1992))) -> (c1_1 (a1992)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> (~(hskp7)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/(hskp7))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> False). % 0.78/0.94 do 0 intro. intros zenon_H188 zenon_Hc5 zenon_H127 zenon_H15 zenon_H11c zenon_H11b zenon_H11a zenon_H89 zenon_H157 zenon_H2d zenon_H23b zenon_H23a zenon_H239 zenon_H161 zenon_H9b zenon_H18b zenon_Hc7 zenon_Hc8 zenon_Hc9 zenon_H172 zenon_H3a zenon_He7 zenon_Hea zenon_H4f. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Ha. zenon_intro zenon_H189. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H13f. zenon_intro zenon_H18a. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.78/0.94 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.94 apply (zenon_L348_); trivial. % 0.78/0.94 apply (zenon_L77_); trivial. % 0.78/0.94 (* end of lemma zenon_L349_ *) % 0.78/0.94 assert (zenon_L350_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp13)) -> (c2_1 (a1989)) -> (~(c3_1 (a1989))) -> (~(c0_1 (a1989))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (c2_1 (a1971)) -> (c0_1 (a1971)) -> (~(c1_1 (a1971))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> (~(c0_1 (a1992))) -> (~(c2_1 (a1992))) -> (c1_1 (a1992)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> (~(hskp7)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/(hskp7))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> (~(hskp15)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> False). % 0.78/0.94 do 0 intro. intros zenon_H187 zenon_Hc5 zenon_H127 zenon_H15 zenon_H11c zenon_H11b zenon_H11a zenon_H89 zenon_H157 zenon_H2d zenon_H23b zenon_H23a zenon_H239 zenon_H161 zenon_H18b zenon_Hc7 zenon_Hc8 zenon_Hc9 zenon_H172 zenon_H3a zenon_He7 zenon_Hea zenon_H4f zenon_H7 zenon_H5 zenon_H9f zenon_H9d zenon_H9b zenon_H12d zenon_Hbc zenon_H131. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.78/0.94 apply (zenon_L84_); trivial. % 0.78/0.94 apply (zenon_L349_); trivial. % 0.78/0.94 (* end of lemma zenon_L350_ *) % 0.78/0.94 assert (zenon_L351_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a1992))/\((~(c0_1 (a1992)))/\(~(c2_1 (a1992))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((hskp4)\/(hskp27))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (~(c1_1 (a1971))) -> (c0_1 (a1971)) -> (c2_1 (a1971)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp13)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a1989))) -> (~(c3_1 (a1989))) -> (c2_1 (a1989)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> False). % 0.78/0.94 do 0 intro. intros zenon_H100 zenon_H18d zenon_H52 zenon_H131 zenon_Hbc zenon_H12d zenon_H9b zenon_H9d zenon_H9f zenon_H7 zenon_H4f zenon_Hea zenon_He7 zenon_H3a zenon_H172 zenon_H18b zenon_H161 zenon_H239 zenon_H23a zenon_H23b zenon_H157 zenon_H187 zenon_H50 zenon_H127 zenon_H15 zenon_H76 zenon_H74 zenon_H11a zenon_H11b zenon_H11c zenon_H2d zenon_H174 zenon_H89 zenon_Hc5. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H6c | zenon_intro zenon_H101 ]. % 0.78/0.94 apply (zenon_L345_); trivial. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Ha. zenon_intro zenon_H102. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc9. zenon_intro zenon_H103. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hc7. zenon_intro zenon_Hc8. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.94 apply (zenon_L350_); trivial. % 0.78/0.94 apply (zenon_L192_); trivial. % 0.78/0.94 (* end of lemma zenon_L351_ *) % 0.78/0.94 assert (zenon_L352_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp8))) -> (c3_1 (a1998)) -> (~(c0_1 (a1998))) -> (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33)))))) -> (c2_1 (a1971)) -> (c0_1 (a1971)) -> (~(c1_1 (a1971))) -> (ndr1_0) -> (~(hskp8)) -> False). % 0.78/0.94 do 0 intro. intros zenon_H244 zenon_H5a zenon_H58 zenon_Hb zenon_H23b zenon_H23a zenon_H239 zenon_Ha zenon_H9d. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H59 | zenon_intro zenon_H245 ]. % 0.78/0.94 apply (zenon_L21_); trivial. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H144 | zenon_intro zenon_H9e ]. % 0.78/0.94 apply (zenon_L342_); trivial. % 0.78/0.94 exact (zenon_H9d zenon_H9e). % 0.78/0.94 (* end of lemma zenon_L352_ *) % 0.78/0.94 assert (zenon_L353_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp9))) -> (~(hskp19)) -> (~(c1_1 (a1990))) -> (c3_1 (a1990)) -> (~(c2_1 (a1990))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(hskp8)) -> (ndr1_0) -> (~(c1_1 (a1971))) -> (c0_1 (a1971)) -> (c2_1 (a1971)) -> (~(c0_1 (a1998))) -> (c3_1 (a1998)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp8))) -> (~(hskp9)) -> False). % 0.78/0.94 do 0 intro. intros zenon_H16d zenon_H3 zenon_H10e zenon_H110 zenon_H10f zenon_H156 zenon_H9d zenon_Ha zenon_H239 zenon_H23a zenon_H23b zenon_H58 zenon_H5a zenon_H244 zenon_H65. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H59 | zenon_intro zenon_H16e ]. % 0.78/0.94 apply (zenon_L111_); trivial. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_Hb | zenon_intro zenon_H66 ]. % 0.78/0.94 apply (zenon_L352_); trivial. % 0.78/0.94 exact (zenon_H65 zenon_H66). % 0.78/0.94 (* end of lemma zenon_L353_ *) % 0.78/0.94 assert (zenon_L354_ : ((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(hskp5)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(c2_1 (a1990))) -> (c3_1 (a1990)) -> (~(c1_1 (a1990))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp8))) -> (~(hskp8)) -> (c2_1 (a1971)) -> (c0_1 (a1971)) -> (~(c1_1 (a1971))) -> (~(hskp9)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp9))) -> False). % 0.78/0.94 do 0 intro. intros zenon_Hc1 zenon_H131 zenon_Hbc zenon_H12d zenon_H9b zenon_H9f zenon_H156 zenon_H10f zenon_H110 zenon_H10e zenon_H244 zenon_H9d zenon_H23b zenon_H23a zenon_H239 zenon_H65 zenon_H16d. % 0.78/0.94 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2. % 0.78/0.94 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc3. % 0.78/0.94 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H3 | zenon_intro zenon_H12e ]. % 0.78/0.94 apply (zenon_L353_); trivial. % 0.78/0.94 apply (zenon_L83_); trivial. % 0.78/0.94 (* end of lemma zenon_L354_ *) % 0.78/0.94 assert (zenon_L355_ : ((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(hskp5)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(c2_1 (a1990))) -> (c3_1 (a1990)) -> (~(c1_1 (a1990))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp8))) -> (~(hskp8)) -> (c2_1 (a1971)) -> (c0_1 (a1971)) -> (~(c1_1 (a1971))) -> (~(hskp9)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp9))) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> False). % 0.78/0.94 do 0 intro. intros zenon_Hfc zenon_Hc5 zenon_H131 zenon_Hbc zenon_H12d zenon_H9b zenon_H9f zenon_H156 zenon_H10f zenon_H110 zenon_H10e zenon_H244 zenon_H9d zenon_H23b zenon_H23a zenon_H239 zenon_H65 zenon_H16d zenon_H3a zenon_H172. % 0.78/0.94 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Ha. zenon_intro zenon_Hfd. % 0.78/0.94 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hf0. zenon_intro zenon_Hfe. % 0.78/0.94 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hf1. zenon_intro zenon_Hef. % 0.78/0.94 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.94 apply (zenon_L127_); trivial. % 0.78/0.94 apply (zenon_L354_); trivial. % 0.78/0.94 (* end of lemma zenon_L355_ *) % 0.78/0.94 assert (zenon_L356_ : ((ndr1_0)/\((c2_1 (a1989))/\((~(c0_1 (a1989)))/\(~(c3_1 (a1989)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp8))) -> (~(hskp9)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp9))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a1992))/\((~(c0_1 (a1992)))/\(~(c2_1 (a1992))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((hskp4)\/(hskp27))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (~(c1_1 (a1971))) -> (c0_1 (a1971)) -> (c2_1 (a1971)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((hskp30)\/((hskp27)\/(hskp6))) -> (~(hskp6)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> (~(hskp0)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp12)\/(hskp0))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> False). % 0.78/0.94 do 0 intro. intros zenon_H18e zenon_H12c zenon_H156 zenon_H244 zenon_H65 zenon_H16d zenon_H100 zenon_H18d zenon_H52 zenon_H131 zenon_Hbc zenon_H12d zenon_H9b zenon_H9d zenon_H9f zenon_H7 zenon_H4f zenon_Hea zenon_He7 zenon_H3a zenon_H172 zenon_H18b zenon_H161 zenon_H239 zenon_H23a zenon_H23b zenon_H157 zenon_H187 zenon_H50 zenon_H127 zenon_H76 zenon_H74 zenon_H2d zenon_H174 zenon_H89 zenon_Hc5 zenon_Hf8 zenon_Hfa zenon_Hff. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H11c. zenon_intro zenon_H190. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H11a. zenon_intro zenon_H11b. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.94 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.94 apply (zenon_L351_); trivial. % 0.78/0.94 apply (zenon_L68_); trivial. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Ha. zenon_intro zenon_H12a. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H110. zenon_intro zenon_H12b. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.78/0.94 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.94 apply (zenon_L351_); trivial. % 0.78/0.94 apply (zenon_L355_); trivial. % 0.78/0.94 (* end of lemma zenon_L356_ *) % 0.78/0.94 assert (zenon_L357_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (~(hskp18)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/((hskp6)\/(hskp18))) -> (c1_1 (a2014)) -> (c0_1 (a2014)) -> (~(c2_1 (a2014))) -> (~(c3_1 (a2003))) -> (c1_1 (a2003)) -> (c2_1 (a2003)) -> (~(hskp17)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp27)) -> (~(hskp6)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> False). % 0.78/0.94 do 0 intro. intros zenon_H89 zenon_H1d6 zenon_H87 zenon_H8a zenon_Hae zenon_Had zenon_Hac zenon_H1d zenon_H1e zenon_H1f zenon_H2b zenon_H2d zenon_H3c zenon_H74 zenon_H76. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H72 | zenon_intro zenon_H8b ]. % 0.78/0.94 apply (zenon_L32_); trivial. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Ha. zenon_intro zenon_H8c. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H78. zenon_intro zenon_H8d. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1c | zenon_intro zenon_H1d7 ]. % 0.78/0.94 apply (zenon_L12_); trivial. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_Hab | zenon_intro zenon_H1b ]. % 0.78/0.94 apply (zenon_L46_); trivial. % 0.78/0.94 apply (zenon_L289_); trivial. % 0.78/0.94 (* end of lemma zenon_L357_ *) % 0.78/0.94 assert (zenon_L358_ : ((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> (~(hskp11)) -> (~(hskp4)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> (~(hskp6)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp17)) -> (c2_1 (a2003)) -> (c1_1 (a2003)) -> (~(c3_1 (a2003))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/((hskp6)\/(hskp18))) -> (~(hskp18)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> False). % 0.78/0.94 do 0 intro. intros zenon_Hb7 zenon_H50 zenon_H4b zenon_H48 zenon_H3a zenon_H76 zenon_H74 zenon_H2d zenon_H2b zenon_H1f zenon_H1e zenon_H1d zenon_H8a zenon_H87 zenon_H1d6 zenon_H89. % 0.78/0.94 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Ha. zenon_intro zenon_Hb9. % 0.78/0.94 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Had. zenon_intro zenon_Hba. % 0.78/0.94 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Hae. zenon_intro zenon_Hac. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H3c | zenon_intro zenon_H4a ]. % 0.78/0.94 apply (zenon_L357_); trivial. % 0.78/0.94 apply (zenon_L19_); trivial. % 0.78/0.94 (* end of lemma zenon_L358_ *) % 0.78/0.94 assert (zenon_L359_ : ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (~(hskp20)) -> (c0_1 (a1996)) -> (~(c2_1 (a1996))) -> (c3_1 (a1996)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (c2_1 (a1971)) -> (c0_1 (a1971)) -> (~(c1_1 (a1971))) -> (ndr1_0) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> False). % 0.78/0.94 do 0 intro. intros zenon_H157 zenon_H17 zenon_H13f zenon_H135 zenon_H137 zenon_H161 zenon_H23b zenon_H23a zenon_H239 zenon_Ha zenon_H145 zenon_H146 zenon_H147. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H13e | zenon_intro zenon_H159 ]. % 0.78/0.94 apply (zenon_L98_); trivial. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H144 | zenon_intro zenon_H153 ]. % 0.78/0.94 apply (zenon_L342_); trivial. % 0.78/0.94 apply (zenon_L90_); trivial. % 0.78/0.94 (* end of lemma zenon_L359_ *) % 0.78/0.94 assert (zenon_L360_ : ((ndr1_0)/\((~(c0_1 (a2000)))/\((~(c1_1 (a2000)))/\(~(c3_1 (a2000)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (~(hskp4)) -> (~(hskp17)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (c0_1 (a1996)) -> (c3_1 (a1996)) -> (~(c2_1 (a1996))) -> (~(c1_1 (a1971))) -> (c0_1 (a1971)) -> (c2_1 (a1971)) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> False). % 0.78/0.94 do 0 intro. intros zenon_Hbd zenon_H4f zenon_H246 zenon_H3a zenon_H2b zenon_H172 zenon_H161 zenon_H13f zenon_H137 zenon_H135 zenon_H239 zenon_H23a zenon_H23b zenon_H145 zenon_H146 zenon_H147 zenon_H157. % 0.78/0.94 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha. zenon_intro zenon_Hbe. % 0.78/0.94 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Ha2. zenon_intro zenon_Hbf. % 0.78/0.94 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha4. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H17 | zenon_intro zenon_H53 ]. % 0.78/0.94 apply (zenon_L359_); trivial. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_Ha. zenon_intro zenon_H54. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H1e. zenon_intro zenon_H55. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H1f. zenon_intro zenon_H1d. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H247 ]. % 0.78/0.94 apply (zenon_L45_); trivial. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H119 | zenon_intro zenon_H69 ]. % 0.78/0.94 apply (zenon_L108_); trivial. % 0.78/0.94 apply (zenon_L25_); trivial. % 0.78/0.94 (* end of lemma zenon_L360_ *) % 0.78/0.94 assert (zenon_L361_ : ((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a1971))) -> (c0_1 (a1971)) -> (c2_1 (a1971)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp8))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> False). % 0.78/0.94 do 0 intro. intros zenon_Hc1 zenon_Hbc zenon_H16d zenon_H65 zenon_H239 zenon_H23a zenon_H23b zenon_H244 zenon_H12d zenon_H9b zenon_H9d zenon_H9f. % 0.78/0.94 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2. % 0.78/0.94 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc3. % 0.78/0.94 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.78/0.94 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb7 ]. % 0.78/0.94 apply (zenon_L44_); trivial. % 0.78/0.94 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Ha. zenon_intro zenon_Hb9. % 0.78/0.94 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Had. zenon_intro zenon_Hba. % 0.78/0.94 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Hae. zenon_intro zenon_Hac. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H59 | zenon_intro zenon_H16e ]. % 0.78/0.94 apply (zenon_L85_); trivial. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_Hb | zenon_intro zenon_H66 ]. % 0.78/0.94 apply (zenon_L352_); trivial. % 0.78/0.94 exact (zenon_H65 zenon_H66). % 0.78/0.94 (* end of lemma zenon_L361_ *) % 0.78/0.94 assert (zenon_L362_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((hskp4)\/(hskp27))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2000)))/\((~(c1_1 (a2000)))/\(~(c3_1 (a2000))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (c2_1 (a1971)) -> (c0_1 (a1971)) -> (~(c1_1 (a1971))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/((hskp6)\/(hskp18))) -> (~(hskp6)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> (~(hskp4)) -> (~(hskp11)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp8))) -> (~(hskp9)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> False). % 0.78/0.94 do 0 intro. intros zenon_H18d zenon_H52 zenon_H131 zenon_Hbc zenon_H12d zenon_H9b zenon_H9d zenon_H9f zenon_H7 zenon_Hc0 zenon_H246 zenon_H172 zenon_H145 zenon_H146 zenon_H147 zenon_H89 zenon_H157 zenon_H2d zenon_H23b zenon_H23a zenon_H239 zenon_H161 zenon_H18b zenon_H1d6 zenon_H8a zenon_H74 zenon_H76 zenon_H3a zenon_H48 zenon_H4b zenon_H50 zenon_H4f zenon_H244 zenon_H65 zenon_H16d zenon_Hc5 zenon_H187. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.78/0.94 apply (zenon_L84_); trivial. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Ha. zenon_intro zenon_H189. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H13f. zenon_intro zenon_H18a. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.78/0.94 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.94 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H87 | zenon_intro zenon_Hbd ]. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H17 | zenon_intro zenon_H53 ]. % 0.78/0.94 apply (zenon_L347_); trivial. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_Ha. zenon_intro zenon_H54. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H1e. zenon_intro zenon_H55. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H1f. zenon_intro zenon_H1d. % 0.78/0.94 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb7 ]. % 0.78/0.94 apply (zenon_L44_); trivial. % 0.78/0.94 apply (zenon_L358_); trivial. % 0.78/0.94 apply (zenon_L360_); trivial. % 0.78/0.94 apply (zenon_L361_); trivial. % 0.78/0.94 apply (zenon_L96_); trivial. % 0.78/0.94 (* end of lemma zenon_L362_ *) % 0.78/0.94 assert (zenon_L363_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a1985)) -> (~(c3_1 (a1985))) -> (~(c0_1 (a1985))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (c2_1 (a1971)) -> (c0_1 (a1971)) -> (~(c1_1 (a1971))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> (~(c0_1 (a1992))) -> (~(c2_1 (a1992))) -> (c1_1 (a1992)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> (~(hskp7)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/(hskp7))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> (~(hskp15)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> False). % 0.78/0.94 do 0 intro. intros zenon_H187 zenon_Hc5 zenon_H51 zenon_H38 zenon_H193 zenon_H192 zenon_H191 zenon_H89 zenon_H157 zenon_H2d zenon_H23b zenon_H23a zenon_H239 zenon_H161 zenon_H18b zenon_Hc7 zenon_Hc8 zenon_Hc9 zenon_H172 zenon_H3a zenon_He7 zenon_Hea zenon_H4f zenon_H7 zenon_H5 zenon_H9f zenon_H9d zenon_H9b zenon_H12d zenon_Hbc zenon_H131. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.78/0.94 apply (zenon_L84_); trivial. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Ha. zenon_intro zenon_H189. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H13f. zenon_intro zenon_H18a. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.78/0.94 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.94 apply (zenon_L348_); trivial. % 0.78/0.94 apply (zenon_L132_); trivial. % 0.78/0.94 (* end of lemma zenon_L363_ *) % 0.78/0.94 assert (zenon_L364_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (c2_1 (a1989)) -> (~(c3_1 (a1989))) -> (~(c0_1 (a1989))) -> (~(hskp6)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a1985)) -> (~(c3_1 (a1985))) -> (~(c0_1 (a1985))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (c2_1 (a1971)) -> (c0_1 (a1971)) -> (~(c1_1 (a1971))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> (~(hskp7)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/(hskp7))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> ((hskp23)\/((hskp5)\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((hskp4)\/(hskp27))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a1992))/\((~(c0_1 (a1992)))/\(~(c2_1 (a1992))))))) -> False). % 0.78/0.94 do 0 intro. intros zenon_Hff zenon_Hc5 zenon_H89 zenon_H174 zenon_H2d zenon_H11c zenon_H11b zenon_H11a zenon_H74 zenon_H76 zenon_H127 zenon_H50 zenon_H187 zenon_H51 zenon_H38 zenon_H193 zenon_H192 zenon_H191 zenon_H157 zenon_H23b zenon_H23a zenon_H239 zenon_H161 zenon_H18b zenon_H172 zenon_H3a zenon_He7 zenon_Hea zenon_H4f zenon_H7 zenon_H9f zenon_H9d zenon_H9b zenon_H12d zenon_Hbc zenon_H131 zenon_H52 zenon_H18d zenon_H100. % 0.78/0.94 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H6c | zenon_intro zenon_H101 ]. % 0.78/0.94 apply (zenon_L345_); trivial. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Ha. zenon_intro zenon_H102. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc9. zenon_intro zenon_H103. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hc7. zenon_intro zenon_Hc8. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.94 apply (zenon_L363_); trivial. % 0.78/0.94 apply (zenon_L192_); trivial. % 0.78/0.94 apply (zenon_L133_); trivial. % 0.78/0.94 (* end of lemma zenon_L364_ *) % 0.78/0.94 assert (zenon_L365_ : ((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> ((hskp23)\/((hskp5)\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> (~(c1_1 (a1990))) -> (c3_1 (a1990)) -> (~(c2_1 (a1990))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(c0_1 (a1985))) -> (~(c3_1 (a1985))) -> (c1_1 (a1985)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> False). % 0.78/0.94 do 0 intro. intros zenon_Hc1 zenon_H131 zenon_H12d zenon_H9f zenon_H9d zenon_H9b zenon_H178 zenon_H10e zenon_H110 zenon_H10f zenon_H156 zenon_H191 zenon_H192 zenon_H193 zenon_H1d6 zenon_H186 zenon_Hbc. % 0.78/0.94 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2. % 0.78/0.94 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc3. % 0.78/0.94 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H3 | zenon_intro zenon_H12e ]. % 0.78/0.94 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb7 ]. % 0.78/0.94 apply (zenon_L44_); trivial. % 0.78/0.94 apply (zenon_L202_); trivial. % 0.78/0.94 apply (zenon_L83_); trivial. % 0.78/0.94 (* end of lemma zenon_L365_ *) % 0.78/0.94 assert (zenon_L366_ : ((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> ((hskp23)\/((hskp5)\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> (~(c1_1 (a1990))) -> (c3_1 (a1990)) -> (~(c2_1 (a1990))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(c0_1 (a1985))) -> (~(c3_1 (a1985))) -> (c1_1 (a1985)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> False). % 0.78/0.94 do 0 intro. intros zenon_Hfc zenon_Hc5 zenon_H131 zenon_H12d zenon_H9f zenon_H9d zenon_H9b zenon_H178 zenon_H10e zenon_H110 zenon_H10f zenon_H156 zenon_H191 zenon_H192 zenon_H193 zenon_H1d6 zenon_H186 zenon_Hbc zenon_H3a zenon_H172. % 0.78/0.94 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Ha. zenon_intro zenon_Hfd. % 0.78/0.94 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hf0. zenon_intro zenon_Hfe. % 0.78/0.94 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hf1. zenon_intro zenon_Hef. % 0.78/0.94 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.94 apply (zenon_L127_); trivial. % 0.78/0.94 apply (zenon_L365_); trivial. % 0.78/0.94 (* end of lemma zenon_L366_ *) % 0.78/0.94 assert (zenon_L367_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (~(hskp18)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/((hskp6)\/(hskp18))) -> (c1_1 (a2014)) -> (c0_1 (a2014)) -> (~(c2_1 (a2014))) -> (c1_1 (a1985)) -> (~(c3_1 (a1985))) -> (~(c0_1 (a1985))) -> (~(hskp27)) -> (~(hskp6)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> False). % 0.78/0.94 do 0 intro. intros zenon_H89 zenon_H1d6 zenon_H87 zenon_H8a zenon_Hae zenon_Had zenon_Hac zenon_H193 zenon_H192 zenon_H191 zenon_H3c zenon_H74 zenon_H76. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H72 | zenon_intro zenon_H8b ]. % 0.78/0.94 apply (zenon_L32_); trivial. % 0.78/0.94 apply (zenon_L328_); trivial. % 0.78/0.94 (* end of lemma zenon_L367_ *) % 0.78/0.94 assert (zenon_L368_ : ((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> (~(hskp11)) -> (~(hskp4)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a1985))) -> (~(c3_1 (a1985))) -> (c1_1 (a1985)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/((hskp6)\/(hskp18))) -> (~(hskp18)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> False). % 0.78/0.94 do 0 intro. intros zenon_Hb7 zenon_H50 zenon_H4b zenon_H48 zenon_H3a zenon_H76 zenon_H74 zenon_H191 zenon_H192 zenon_H193 zenon_H8a zenon_H87 zenon_H1d6 zenon_H89. % 0.78/0.94 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Ha. zenon_intro zenon_Hb9. % 0.78/0.94 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Had. zenon_intro zenon_Hba. % 0.78/0.94 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Hae. zenon_intro zenon_Hac. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H3c | zenon_intro zenon_H4a ]. % 0.78/0.94 apply (zenon_L367_); trivial. % 0.78/0.94 apply (zenon_L19_); trivial. % 0.78/0.94 (* end of lemma zenon_L368_ *) % 0.78/0.94 assert (zenon_L369_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((hskp4)\/(hskp27))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2000)))/\((~(c1_1 (a2000)))/\(~(c3_1 (a2000))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (~(c1_1 (a1971))) -> (c0_1 (a1971)) -> (c2_1 (a1971)) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/((hskp6)\/(hskp18))) -> (c1_1 (a1985)) -> (~(c3_1 (a1985))) -> (~(c0_1 (a1985))) -> (~(hskp6)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> (~(hskp4)) -> (~(hskp11)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> (~(hskp12)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> False). % 0.78/0.94 do 0 intro. intros zenon_H18d zenon_H52 zenon_H131 zenon_Hbc zenon_H12d zenon_H9b zenon_H9d zenon_H9f zenon_H7 zenon_Hc0 zenon_H4f zenon_H246 zenon_H172 zenon_H161 zenon_H239 zenon_H23a zenon_H23b zenon_H145 zenon_H146 zenon_H147 zenon_H157 zenon_H89 zenon_H1d6 zenon_H8a zenon_H193 zenon_H192 zenon_H191 zenon_H74 zenon_H76 zenon_H3a zenon_H48 zenon_H4b zenon_H50 zenon_H38 zenon_H51 zenon_Hc5 zenon_H187. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.78/0.94 apply (zenon_L84_); trivial. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Ha. zenon_intro zenon_H189. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H13f. zenon_intro zenon_H18a. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.78/0.94 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.94 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H87 | zenon_intro zenon_Hbd ]. % 0.78/0.94 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb7 ]. % 0.78/0.94 apply (zenon_L44_); trivial. % 0.78/0.94 apply (zenon_L368_); trivial. % 0.78/0.94 apply (zenon_L360_); trivial. % 0.78/0.94 apply (zenon_L132_); trivial. % 0.78/0.94 apply (zenon_L96_); trivial. % 0.78/0.94 (* end of lemma zenon_L369_ *) % 0.78/0.94 assert (zenon_L370_ : ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (c0_1 (a1996)) -> (c3_1 (a1996)) -> (~(c2_1 (a1996))) -> (forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))) -> (c2_1 (a1971)) -> (c0_1 (a1971)) -> (~(c1_1 (a1971))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp17)) -> (c3_1 (a2005)) -> (c2_1 (a2005)) -> (c0_1 (a2005)) -> (ndr1_0) -> False). % 0.78/0.94 do 0 intro. intros zenon_H157 zenon_H13f zenon_H137 zenon_H135 zenon_H134 zenon_H23b zenon_H23a zenon_H239 zenon_H2d zenon_H2b zenon_H7a zenon_H7b zenon_H78 zenon_Ha. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H13e | zenon_intro zenon_H159 ]. % 0.78/0.94 apply (zenon_L88_); trivial. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H144 | zenon_intro zenon_H153 ]. % 0.78/0.94 apply (zenon_L342_); trivial. % 0.78/0.94 apply (zenon_L101_); trivial. % 0.78/0.94 (* end of lemma zenon_L370_ *) % 0.78/0.94 assert (zenon_L371_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> (~(c2_1 (a1996))) -> (c3_1 (a1996)) -> (c0_1 (a1996)) -> (~(c1_1 (a1971))) -> (c0_1 (a1971)) -> (c2_1 (a1971)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (c1_1 (a2003)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> (~(hskp17)) -> (~(hskp4)) -> (c2_1 (a2003)) -> (~(c3_1 (a2003))) -> (~(c1_1 (a1990))) -> (c3_1 (a1990)) -> (~(c2_1 (a1990))) -> (~(hskp14)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> (~(hskp27)) -> (~(hskp6)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> False). % 0.78/0.94 do 0 intro. intros zenon_H89 zenon_H15a zenon_H135 zenon_H137 zenon_H13f zenon_H239 zenon_H23a zenon_H23b zenon_H157 zenon_H1e zenon_H2d zenon_H172 zenon_H2b zenon_H3a zenon_H1f zenon_H1d zenon_H10e zenon_H110 zenon_H10f zenon_H6c zenon_H174 zenon_H3c zenon_H74 zenon_H76. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H72 | zenon_intro zenon_H8b ]. % 0.78/0.94 apply (zenon_L32_); trivial. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Ha. zenon_intro zenon_H8c. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H78. zenon_intro zenon_H8d. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H59 | zenon_intro zenon_H15b ]. % 0.78/0.94 apply (zenon_L109_); trivial. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1c | zenon_intro zenon_H134 ]. % 0.78/0.94 apply (zenon_L12_); trivial. % 0.78/0.94 apply (zenon_L370_); trivial. % 0.78/0.94 (* end of lemma zenon_L371_ *) % 0.78/0.94 assert (zenon_L372_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> (~(hskp11)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> (~(hskp6)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> (~(hskp14)) -> (~(c2_1 (a1990))) -> (c3_1 (a1990)) -> (~(c1_1 (a1990))) -> (~(hskp4)) -> (~(hskp17)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (c0_1 (a1996)) -> (c3_1 (a1996)) -> (~(c2_1 (a1996))) -> (ndr1_0) -> (~(c1_1 (a1971))) -> (c0_1 (a1971)) -> (c2_1 (a1971)) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> False). % 0.78/0.94 do 0 intro. intros zenon_H4f zenon_H50 zenon_H4b zenon_H48 zenon_H76 zenon_H74 zenon_H174 zenon_H6c zenon_H10f zenon_H110 zenon_H10e zenon_H3a zenon_H2b zenon_H172 zenon_H2d zenon_H15a zenon_H89 zenon_H161 zenon_H13f zenon_H137 zenon_H135 zenon_Ha zenon_H239 zenon_H23a zenon_H23b zenon_H145 zenon_H146 zenon_H147 zenon_H157. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H17 | zenon_intro zenon_H53 ]. % 0.78/0.94 apply (zenon_L359_); trivial. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_Ha. zenon_intro zenon_H54. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H1e. zenon_intro zenon_H55. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H1f. zenon_intro zenon_H1d. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H3c | zenon_intro zenon_H4a ]. % 0.78/0.94 apply (zenon_L371_); trivial. % 0.78/0.94 apply (zenon_L19_); trivial. % 0.78/0.94 (* end of lemma zenon_L372_ *) % 0.78/0.94 assert (zenon_L373_ : ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (c0_1 (a1996)) -> (c3_1 (a1996)) -> (~(c2_1 (a1996))) -> (forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))) -> (c2_1 (a1971)) -> (c0_1 (a1971)) -> (~(c1_1 (a1971))) -> (ndr1_0) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> False). % 0.78/0.94 do 0 intro. intros zenon_H157 zenon_H13f zenon_H137 zenon_H135 zenon_H134 zenon_H23b zenon_H23a zenon_H239 zenon_Ha zenon_H145 zenon_H146 zenon_H147. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H13e | zenon_intro zenon_H159 ]. % 0.78/0.94 apply (zenon_L88_); trivial. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H144 | zenon_intro zenon_H153 ]. % 0.78/0.94 apply (zenon_L342_); trivial. % 0.78/0.94 apply (zenon_L90_); trivial. % 0.78/0.94 (* end of lemma zenon_L373_ *) % 0.78/0.94 assert (zenon_L374_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> (~(hskp19)) -> (~(c1_1 (a1990))) -> (c3_1 (a1990)) -> (~(c2_1 (a1990))) -> (~(c0_1 (a1998))) -> (c3_1 (a1998)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (c1_1 (a1985)) -> (~(c3_1 (a1985))) -> (~(c0_1 (a1985))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (c0_1 (a1996)) -> (c3_1 (a1996)) -> (~(c2_1 (a1996))) -> (c2_1 (a1971)) -> (c0_1 (a1971)) -> (~(c1_1 (a1971))) -> (ndr1_0) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> False). % 0.78/0.94 do 0 intro. intros zenon_H15a zenon_H3 zenon_H10e zenon_H110 zenon_H10f zenon_H58 zenon_H5a zenon_H156 zenon_H193 zenon_H192 zenon_H191 zenon_H157 zenon_H13f zenon_H137 zenon_H135 zenon_H23b zenon_H23a zenon_H239 zenon_Ha zenon_H145 zenon_H146 zenon_H147. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H59 | zenon_intro zenon_H15b ]. % 0.78/0.94 apply (zenon_L111_); trivial. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1c | zenon_intro zenon_H134 ]. % 0.78/0.94 apply (zenon_L131_); trivial. % 0.78/0.94 apply (zenon_L373_); trivial. % 0.78/0.94 (* end of lemma zenon_L374_ *) % 0.78/0.94 assert (zenon_L375_ : ((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(c2_1 (a1990))) -> (c3_1 (a1990)) -> (~(c1_1 (a1990))) -> (~(c0_1 (a1985))) -> (~(c3_1 (a1985))) -> (c1_1 (a1985)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (c3_1 (a1987)) -> (c2_1 (a1987)) -> (~(c1_1 (a1987))) -> (c2_1 (a1971)) -> (c0_1 (a1971)) -> (~(c1_1 (a1971))) -> (c0_1 (a1996)) -> (c3_1 (a1996)) -> (~(c2_1 (a1996))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> False). % 0.78/0.94 do 0 intro. intros zenon_Hc1 zenon_H131 zenon_Hbc zenon_H12d zenon_H9b zenon_H9d zenon_H9f zenon_H156 zenon_H10f zenon_H110 zenon_H10e zenon_H191 zenon_H192 zenon_H193 zenon_H157 zenon_H147 zenon_H146 zenon_H145 zenon_H23b zenon_H23a zenon_H239 zenon_H13f zenon_H137 zenon_H135 zenon_H15a. % 0.78/0.94 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2. % 0.78/0.94 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc3. % 0.78/0.94 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H3 | zenon_intro zenon_H12e ]. % 0.78/0.94 apply (zenon_L374_); trivial. % 0.78/0.94 apply (zenon_L83_); trivial. % 0.78/0.94 (* end of lemma zenon_L375_ *) % 0.78/0.94 assert (zenon_L376_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(c0_1 (a1985))) -> (~(c3_1 (a1985))) -> (c1_1 (a1985)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (c3_1 (a1987)) -> (c2_1 (a1987)) -> (~(c1_1 (a1987))) -> (c2_1 (a1971)) -> (c0_1 (a1971)) -> (~(c1_1 (a1971))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> (~(c1_1 (a1990))) -> (c3_1 (a1990)) -> (~(c2_1 (a1990))) -> (~(hskp14)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> (~(hskp6)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> (~(hskp11)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> (~(hskp15)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> False). % 0.78/0.94 do 0 intro. intros zenon_H187 zenon_Hc5 zenon_H156 zenon_H191 zenon_H192 zenon_H193 zenon_H157 zenon_H147 zenon_H146 zenon_H145 zenon_H23b zenon_H23a zenon_H239 zenon_H161 zenon_H89 zenon_H15a zenon_H2d zenon_H172 zenon_H3a zenon_H10e zenon_H110 zenon_H10f zenon_H6c zenon_H174 zenon_H74 zenon_H76 zenon_H48 zenon_H4b zenon_H50 zenon_H4f zenon_H7 zenon_H5 zenon_H9f zenon_H9d zenon_H9b zenon_H12d zenon_Hbc zenon_H131. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.78/0.94 apply (zenon_L84_); trivial. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Ha. zenon_intro zenon_H189. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H13f. zenon_intro zenon_H18a. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.78/0.94 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.94 apply (zenon_L372_); trivial. % 0.78/0.94 apply (zenon_L375_); trivial. % 0.78/0.94 (* end of lemma zenon_L376_ *) % 0.78/0.94 assert (zenon_L377_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((hskp4)\/(hskp27))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> (~(hskp11)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> (~(hskp6)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> (~(hskp14)) -> (~(c2_1 (a1990))) -> (c3_1 (a1990)) -> (~(c1_1 (a1990))) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (~(c1_1 (a1971))) -> (c0_1 (a1971)) -> (c2_1 (a1971)) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (c1_1 (a1985)) -> (~(c3_1 (a1985))) -> (~(c0_1 (a1985))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> False). % 0.78/0.94 do 0 intro. intros zenon_H18d zenon_H52 zenon_H131 zenon_Hbc zenon_H12d zenon_H9b zenon_H9d zenon_H9f zenon_H7 zenon_H4f zenon_H50 zenon_H4b zenon_H48 zenon_H76 zenon_H74 zenon_H174 zenon_H6c zenon_H10f zenon_H110 zenon_H10e zenon_H3a zenon_H172 zenon_H2d zenon_H15a zenon_H89 zenon_H161 zenon_H239 zenon_H23a zenon_H23b zenon_H145 zenon_H146 zenon_H147 zenon_H157 zenon_H193 zenon_H192 zenon_H191 zenon_H156 zenon_Hc5 zenon_H187. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.94 apply (zenon_L376_); trivial. % 0.78/0.94 apply (zenon_L96_); trivial. % 0.78/0.94 (* end of lemma zenon_L377_ *) % 0.78/0.94 assert (zenon_L378_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(c2_1 (a1990))) -> (c3_1 (a1990)) -> (~(c1_1 (a1990))) -> (~(c0_1 (a1985))) -> (~(c3_1 (a1985))) -> (c1_1 (a1985)) -> (c3_1 (a1987)) -> (c2_1 (a1987)) -> (~(c1_1 (a1987))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (c2_1 (a1971)) -> (c0_1 (a1971)) -> (~(c1_1 (a1971))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> (~(c0_1 (a1992))) -> (~(c2_1 (a1992))) -> (c1_1 (a1992)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> (~(hskp7)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/(hskp7))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> (~(hskp15)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> False). % 0.78/0.94 do 0 intro. intros zenon_H187 zenon_Hc5 zenon_H156 zenon_H10f zenon_H110 zenon_H10e zenon_H191 zenon_H192 zenon_H193 zenon_H147 zenon_H146 zenon_H145 zenon_H15a zenon_H89 zenon_H157 zenon_H2d zenon_H23b zenon_H23a zenon_H239 zenon_H161 zenon_H18b zenon_Hc7 zenon_Hc8 zenon_Hc9 zenon_H172 zenon_H3a zenon_He7 zenon_Hea zenon_H4f zenon_H7 zenon_H5 zenon_H9f zenon_H9d zenon_H9b zenon_H12d zenon_Hbc zenon_H131. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.78/0.94 apply (zenon_L84_); trivial. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Ha. zenon_intro zenon_H189. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H13f. zenon_intro zenon_H18a. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.78/0.94 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.94 apply (zenon_L348_); trivial. % 0.78/0.94 apply (zenon_L375_); trivial. % 0.78/0.94 (* end of lemma zenon_L378_ *) % 0.78/0.94 assert (zenon_L379_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a1989))/\((~(c0_1 (a1989)))/\(~(c3_1 (a1989))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(c0_1 (a1983))) -> (~(c1_1 (a1983))) -> (c3_1 (a1983)) -> (~(hskp6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((hskp29)\/(hskp6))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> (ndr1_0) -> (~(c1_1 (a1971))) -> (c0_1 (a1971)) -> (c2_1 (a1971)) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/((hskp10)\/(hskp11))) -> False). % 0.78/0.94 do 0 intro. intros zenon_H1a8 zenon_Hff zenon_H1a6 zenon_H9b zenon_H186 zenon_H2d zenon_H19b zenon_H19c zenon_H19d zenon_H74 zenon_H1a4 zenon_H127 zenon_Hc5 zenon_Ha zenon_H239 zenon_H23a zenon_H23b zenon_H6e zenon_H242. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.94 apply (zenon_L343_); trivial. % 0.78/0.94 apply (zenon_L152_); trivial. % 0.78/0.94 (* end of lemma zenon_L379_ *) % 0.78/0.94 assert (zenon_L380_ : ((ndr1_0)/\((c3_1 (a1983))/\((~(c0_1 (a1983)))/\(~(c1_1 (a1983)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a1987))/\((c3_1 (a1987))/\(~(c1_1 (a1987))))))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp27))) -> (~(hskp4)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/((hskp10)\/(hskp11))) -> (c2_1 (a1971)) -> (c0_1 (a1971)) -> (~(c1_1 (a1971))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((hskp29)\/(hskp6))) -> (~(hskp6)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a1989))/\((~(c0_1 (a1989)))/\(~(c3_1 (a1989))))))) -> False). % 0.78/0.94 do 0 intro. intros zenon_H1ee zenon_H1b7 zenon_H1b1 zenon_H3a zenon_H4b zenon_H50 zenon_H242 zenon_H23b zenon_H23a zenon_H239 zenon_Hc5 zenon_H127 zenon_H1a4 zenon_H74 zenon_H2d zenon_H186 zenon_H9b zenon_H1a6 zenon_Hff zenon_H1a8. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Ha. zenon_intro zenon_H1ef. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H19d. zenon_intro zenon_H1f0. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H19b. zenon_intro zenon_H19c. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H6e | zenon_intro zenon_H1b3 ]. % 0.78/0.94 apply (zenon_L379_); trivial. % 0.78/0.94 apply (zenon_L158_); trivial. % 0.78/0.94 (* end of lemma zenon_L380_ *) % 0.78/0.94 assert (zenon_L381_ : ((ndr1_0)/\((c2_1 (a1989))/\((~(c0_1 (a1989)))/\(~(c3_1 (a1989)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(hskp5)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp8))) -> (~(hskp8)) -> (c2_1 (a1971)) -> (c0_1 (a1971)) -> (~(c1_1 (a1971))) -> (~(hskp9)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp9))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((hskp4)\/(hskp27))) -> (~(hskp4)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp15))) -> (c0_1 (a1981)) -> (c1_1 (a1981)) -> (~(c3_1 (a1981))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> (~(hskp0)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp12)\/(hskp0))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> False). % 0.78/0.94 do 0 intro. intros zenon_H18e zenon_H12c zenon_H131 zenon_Hbc zenon_H12d zenon_H9b zenon_H9f zenon_H156 zenon_H244 zenon_H9d zenon_H23b zenon_H23a zenon_H239 zenon_H65 zenon_H16d zenon_H172 zenon_H18d zenon_H52 zenon_H3a zenon_H50 zenon_H1ec zenon_H1bb zenon_H1bc zenon_H1c8 zenon_H2d zenon_H127 zenon_Hc5 zenon_Hf8 zenon_Hfa zenon_Hff. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H11c. zenon_intro zenon_H190. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H11a. zenon_intro zenon_H11b. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.94 apply (zenon_L194_); trivial. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Ha. zenon_intro zenon_H12a. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H110. zenon_intro zenon_H12b. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.78/0.94 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.94 apply (zenon_L193_); trivial. % 0.78/0.94 apply (zenon_L355_); trivial. % 0.78/0.94 (* end of lemma zenon_L381_ *) % 0.78/0.94 assert (zenon_L382_ : ((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (~(c3_1 (a2003))) -> (c1_1 (a2003)) -> (c2_1 (a2003)) -> (c0_1 (a1981)) -> (c1_1 (a1981)) -> (~(hskp17)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/((hskp6)\/(hskp18))) -> (~(hskp6)) -> (~(hskp18)) -> False). % 0.78/0.94 do 0 intro. intros zenon_H8b zenon_H1d6 zenon_H1d zenon_H1e zenon_H1f zenon_H1bb zenon_H1bc zenon_H2b zenon_H2d zenon_H8a zenon_H74 zenon_H87. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Ha. zenon_intro zenon_H8c. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H78. zenon_intro zenon_H8d. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1c | zenon_intro zenon_H1d7 ]. % 0.78/0.94 apply (zenon_L12_); trivial. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_Hab | zenon_intro zenon_H1b ]. % 0.78/0.94 apply (zenon_L162_); trivial. % 0.78/0.94 apply (zenon_L289_); trivial. % 0.78/0.94 (* end of lemma zenon_L382_ *) % 0.78/0.94 assert (zenon_L383_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (~(hskp18)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/((hskp6)\/(hskp18))) -> (c0_1 (a1981)) -> (c1_1 (a1981)) -> (~(c3_1 (a2003))) -> (c1_1 (a2003)) -> (c2_1 (a2003)) -> (~(hskp17)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp27)) -> (~(hskp6)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> False). % 0.78/0.94 do 0 intro. intros zenon_H89 zenon_H1d6 zenon_H87 zenon_H8a zenon_H1bb zenon_H1bc zenon_H1d zenon_H1e zenon_H1f zenon_H2b zenon_H2d zenon_H3c zenon_H74 zenon_H76. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H72 | zenon_intro zenon_H8b ]. % 0.78/0.94 apply (zenon_L32_); trivial. % 0.78/0.94 apply (zenon_L382_); trivial. % 0.78/0.94 (* end of lemma zenon_L383_ *) % 0.78/0.94 assert (zenon_L384_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> (~(hskp11)) -> (~(hskp4)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> (~(hskp6)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp17)) -> (c1_1 (a1981)) -> (c0_1 (a1981)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/((hskp6)\/(hskp18))) -> (~(hskp18)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (c0_1 (a1996)) -> (c3_1 (a1996)) -> (~(c2_1 (a1996))) -> (ndr1_0) -> (~(c1_1 (a1971))) -> (c0_1 (a1971)) -> (c2_1 (a1971)) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> False). % 0.78/0.94 do 0 intro. intros zenon_H4f zenon_H50 zenon_H4b zenon_H48 zenon_H3a zenon_H76 zenon_H74 zenon_H2d zenon_H2b zenon_H1bc zenon_H1bb zenon_H8a zenon_H87 zenon_H1d6 zenon_H89 zenon_H161 zenon_H13f zenon_H137 zenon_H135 zenon_Ha zenon_H239 zenon_H23a zenon_H23b zenon_H145 zenon_H146 zenon_H147 zenon_H157. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H17 | zenon_intro zenon_H53 ]. % 0.78/0.94 apply (zenon_L359_); trivial. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_Ha. zenon_intro zenon_H54. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H1e. zenon_intro zenon_H55. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H1f. zenon_intro zenon_H1d. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H3c | zenon_intro zenon_H4a ]. % 0.78/0.94 apply (zenon_L383_); trivial. % 0.78/0.94 apply (zenon_L19_); trivial. % 0.78/0.94 (* end of lemma zenon_L384_ *) % 0.78/0.94 assert (zenon_L385_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2000)))/\((~(c1_1 (a2000)))/\(~(c3_1 (a2000))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (c3_1 (a1987)) -> (c2_1 (a1987)) -> (~(c1_1 (a1987))) -> (c2_1 (a1971)) -> (c0_1 (a1971)) -> (~(c1_1 (a1971))) -> (ndr1_0) -> (~(c2_1 (a1996))) -> (c3_1 (a1996)) -> (c0_1 (a1996)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/((hskp6)\/(hskp18))) -> (c0_1 (a1981)) -> (c1_1 (a1981)) -> (~(hskp17)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp6)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> (~(hskp4)) -> (~(hskp11)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> False). % 0.78/0.94 do 0 intro. intros zenon_Hc0 zenon_H246 zenon_H172 zenon_H157 zenon_H147 zenon_H146 zenon_H145 zenon_H23b zenon_H23a zenon_H239 zenon_Ha zenon_H135 zenon_H137 zenon_H13f zenon_H161 zenon_H89 zenon_H1d6 zenon_H8a zenon_H1bb zenon_H1bc zenon_H2b zenon_H2d zenon_H74 zenon_H76 zenon_H3a zenon_H48 zenon_H4b zenon_H50 zenon_H4f. % 0.78/0.94 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H87 | zenon_intro zenon_Hbd ]. % 0.78/0.94 apply (zenon_L384_); trivial. % 0.78/0.94 apply (zenon_L360_); trivial. % 0.78/0.94 (* end of lemma zenon_L385_ *) % 0.78/0.94 assert (zenon_L386_ : ((ndr1_0)/\((c2_1 (a1987))/\((c3_1 (a1987))/\(~(c1_1 (a1987)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a1989))/\((~(c0_1 (a1989)))/\(~(c3_1 (a1989))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp15))) -> (~(c3_1 (a1981))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp0)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp12)\/(hskp0))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp9))) -> (~(hskp9)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> (~(hskp4)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> (~(hskp6)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (c1_1 (a1981)) -> (c0_1 (a1981)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/((hskp6)\/(hskp18))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (~(c1_1 (a1971))) -> (c0_1 (a1971)) -> (c2_1 (a1971)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2000)))/\((~(c1_1 (a2000)))/\(~(c3_1 (a2000))))))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> ((hskp23)\/((hskp5)\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((hskp4)\/(hskp27))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> False). % 0.78/0.94 do 0 intro. intros zenon_H1b3 zenon_H1a8 zenon_H12c zenon_H156 zenon_H1ec zenon_H1c8 zenon_H127 zenon_Hf8 zenon_Hfa zenon_Hff zenon_H187 zenon_Hc5 zenon_H16d zenon_H65 zenon_H244 zenon_H4f zenon_H50 zenon_H4b zenon_H3a zenon_H76 zenon_H74 zenon_H2d zenon_H1bc zenon_H1bb zenon_H8a zenon_H1d6 zenon_H89 zenon_H161 zenon_H239 zenon_H23a zenon_H23b zenon_H157 zenon_H172 zenon_H246 zenon_Hc0 zenon_H7 zenon_H9f zenon_H9d zenon_H9b zenon_H12d zenon_Hbc zenon_H131 zenon_H52 zenon_H18d. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_Ha. zenon_intro zenon_H1b4. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H146. zenon_intro zenon_H1b5. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H147. zenon_intro zenon_H145. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.78/0.94 apply (zenon_L84_); trivial. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Ha. zenon_intro zenon_H189. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H13f. zenon_intro zenon_H18a. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.78/0.94 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.94 apply (zenon_L385_); trivial. % 0.78/0.94 apply (zenon_L361_); trivial. % 0.78/0.94 apply (zenon_L96_); trivial. % 0.78/0.94 apply (zenon_L381_); trivial. % 0.78/0.94 (* end of lemma zenon_L386_ *) % 0.78/0.94 assert (zenon_L387_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp16)\/((hskp19)\/(hskp15))) -> (~(hskp15)) -> (~(hskp16)) -> (~(c0_1 (a1985))) -> (~(c3_1 (a1985))) -> (c1_1 (a1985)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (c1_1 (a1981)) -> (c0_1 (a1981)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> False). % 0.78/0.94 do 0 intro. intros zenon_Hc5 zenon_H51 zenon_H38 zenon_H7 zenon_H5 zenon_H1 zenon_H191 zenon_H192 zenon_H193 zenon_H2d zenon_H1bc zenon_H1bb zenon_H12d zenon_H1d6 zenon_H131. % 0.78/0.94 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H3 | zenon_intro zenon_H12e ]. % 0.78/0.94 apply (zenon_L4_); trivial. % 0.78/0.94 apply (zenon_L198_); trivial. % 0.78/0.94 apply (zenon_L132_); trivial. % 0.78/0.94 (* end of lemma zenon_L387_ *) % 0.78/0.94 assert (zenon_L388_ : ((ndr1_0)/\((c2_1 (a1987))/\((c3_1 (a1987))/\(~(c1_1 (a1987)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a1989))/\((~(c0_1 (a1989)))/\(~(c3_1 (a1989))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp21))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((hskp23)\/(hskp6))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a2009))/\((~(c1_1 (a2009)))/\(~(c3_1 (a2009))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp15))) -> (~(c3_1 (a1981))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((hskp4)\/(hskp27))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> (~(c0_1 (a1985))) -> (~(c3_1 (a1985))) -> (c1_1 (a1985)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (c1_1 (a1981)) -> (c0_1 (a1981)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2000)))/\((~(c1_1 (a2000)))/\(~(c3_1 (a2000))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (c2_1 (a1971)) -> (c0_1 (a1971)) -> (~(c1_1 (a1971))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/((hskp6)\/(hskp18))) -> (~(hskp6)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> (~(hskp4)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((hskp23)\/((hskp5)\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> False). % 0.78/0.94 do 0 intro. intros zenon_H1b3 zenon_H1a8 zenon_H1d4 zenon_H1e2 zenon_H178 zenon_H186 zenon_H1e9 zenon_H1ec zenon_H1c8 zenon_H127 zenon_Hff zenon_H18d zenon_H52 zenon_Hc5 zenon_H51 zenon_H7 zenon_H191 zenon_H192 zenon_H193 zenon_H2d zenon_H1bc zenon_H1bb zenon_H12d zenon_H1d6 zenon_H131 zenon_Hc0 zenon_H246 zenon_H172 zenon_H157 zenon_H23b zenon_H23a zenon_H239 zenon_H161 zenon_H89 zenon_H8a zenon_H74 zenon_H76 zenon_H3a zenon_H4b zenon_H50 zenon_H4f zenon_H187 zenon_H156 zenon_H15a zenon_H9f zenon_H9d zenon_H9b zenon_Hbc zenon_H12c. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_Ha. zenon_intro zenon_H1b4. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H146. zenon_intro zenon_H1b5. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H147. zenon_intro zenon_H145. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.78/0.94 apply (zenon_L387_); trivial. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Ha. zenon_intro zenon_H189. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H13f. zenon_intro zenon_H18a. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.78/0.94 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.94 apply (zenon_L385_); trivial. % 0.78/0.94 apply (zenon_L132_); trivial. % 0.78/0.94 apply (zenon_L96_); trivial. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Ha. zenon_intro zenon_H12a. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H110. zenon_intro zenon_H12b. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.94 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.78/0.94 apply (zenon_L84_); trivial. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Ha. zenon_intro zenon_H189. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H13f. zenon_intro zenon_H18a. % 0.78/0.94 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.78/0.94 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.94 apply (zenon_L385_); trivial. % 0.78/0.94 apply (zenon_L375_); trivial. % 0.78/0.94 apply (zenon_L96_); trivial. % 0.78/0.94 apply (zenon_L206_); trivial. % 0.78/0.94 (* end of lemma zenon_L388_ *) % 0.78/0.94 assert (zenon_L389_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp8))) -> (c3_1 (a1979)) -> (~(c2_1 (a1979))) -> (~(c0_1 (a1979))) -> (c2_1 (a1971)) -> (c0_1 (a1971)) -> (~(c1_1 (a1971))) -> (ndr1_0) -> (~(hskp8)) -> False). % 0.78/0.95 do 0 intro. intros zenon_H244 zenon_H1f3 zenon_H1f2 zenon_H1f1 zenon_H23b zenon_H23a zenon_H239 zenon_Ha zenon_H9d. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H59 | zenon_intro zenon_H245 ]. % 0.78/0.95 apply (zenon_L209_); trivial. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H144 | zenon_intro zenon_H9e ]. % 0.78/0.95 apply (zenon_L342_); trivial. % 0.78/0.95 exact (zenon_H9d zenon_H9e). % 0.78/0.95 (* end of lemma zenon_L389_ *) % 0.78/0.95 assert (zenon_L390_ : ((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((hskp14)\/(hskp10))) -> (~(hskp10)) -> (~(hskp14)) -> (~(hskp13)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((hskp13)\/(hskp20))) -> False). % 0.78/0.95 do 0 intro. intros zenon_H12e zenon_H4f zenon_H70 zenon_H6e zenon_H6c zenon_H15 zenon_H19. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Ha. zenon_intro zenon_H12f. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_Hd. zenon_intro zenon_H130. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H17 | zenon_intro zenon_H53 ]. % 0.78/0.95 apply (zenon_L9_); trivial. % 0.78/0.95 apply (zenon_L28_); trivial. % 0.78/0.95 (* end of lemma zenon_L390_ *) % 0.78/0.95 assert (zenon_L391_ : ((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp13)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (c2_1 (a1989)) -> (~(c3_1 (a1989))) -> (~(c0_1 (a1989))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (~(hskp5)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> (~(hskp10)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((hskp14)\/(hskp10))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> False). % 0.78/0.95 do 0 intro. intros zenon_H188 zenon_Hc5 zenon_H127 zenon_H15 zenon_H89 zenon_H174 zenon_H6c zenon_H2d zenon_H11c zenon_H11b zenon_H11a zenon_H161 zenon_H9b zenon_H18b zenon_H6e zenon_H70 zenon_H4f. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Ha. zenon_intro zenon_H189. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H13f. zenon_intro zenon_H18a. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.78/0.95 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H17 | zenon_intro zenon_H53 ]. % 0.78/0.95 apply (zenon_L219_); trivial. % 0.78/0.95 apply (zenon_L28_); trivial. % 0.78/0.95 apply (zenon_L77_); trivial. % 0.78/0.95 (* end of lemma zenon_L391_ *) % 0.78/0.95 assert (zenon_L392_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((hskp4)\/(hskp27))) -> (~(hskp4)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((hskp14)\/(hskp10))) -> (~(hskp10)) -> (~(hskp14)) -> (~(hskp13)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((hskp13)\/(hskp20))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> (~(hskp5)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (~(c0_1 (a1989))) -> (~(c3_1 (a1989))) -> (c2_1 (a1989)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> False). % 0.78/0.95 do 0 intro. intros zenon_H18d zenon_H52 zenon_H3a zenon_H50 zenon_H131 zenon_H4f zenon_H70 zenon_H6e zenon_H6c zenon_H15 zenon_H19 zenon_H7 zenon_H18b zenon_H9b zenon_H161 zenon_H11a zenon_H11b zenon_H11c zenon_H2d zenon_H174 zenon_H89 zenon_H127 zenon_Hc5 zenon_H187. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H3 | zenon_intro zenon_H12e ]. % 0.78/0.95 apply (zenon_L4_); trivial. % 0.78/0.95 apply (zenon_L390_); trivial. % 0.78/0.95 apply (zenon_L391_); trivial. % 0.78/0.95 apply (zenon_L192_); trivial. % 0.78/0.95 (* end of lemma zenon_L392_ *) % 0.78/0.95 assert (zenon_L393_ : ((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp13)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (c3_1 (a1987)) -> (c2_1 (a1987)) -> (~(c1_1 (a1987))) -> (c2_1 (a1971)) -> (c0_1 (a1971)) -> (~(c1_1 (a1971))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (~(c0_1 (a1979))) -> (~(c2_1 (a1979))) -> (c3_1 (a1979)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a1989)) -> (~(c3_1 (a1989))) -> (~(c0_1 (a1989))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> False). % 0.78/0.95 do 0 intro. intros zenon_H188 zenon_Hc5 zenon_H127 zenon_H15 zenon_H157 zenon_H147 zenon_H146 zenon_H145 zenon_H23b zenon_H23a zenon_H239 zenon_H161 zenon_H1f1 zenon_H1f2 zenon_H1f3 zenon_H2d zenon_H174 zenon_H6c zenon_H11c zenon_H11b zenon_H11a zenon_H15a zenon_H4f. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Ha. zenon_intro zenon_H189. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H13f. zenon_intro zenon_H18a. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.78/0.95 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H17 | zenon_intro zenon_H53 ]. % 0.78/0.95 apply (zenon_L359_); trivial. % 0.78/0.95 apply (zenon_L222_); trivial. % 0.78/0.95 apply (zenon_L77_); trivial. % 0.78/0.95 (* end of lemma zenon_L393_ *) % 0.78/0.95 assert (zenon_L394_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((hskp13)\/(hskp20))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp27))) -> (c3_1 (a1983)) -> (~(c1_1 (a1983))) -> (~(c0_1 (a1983))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> (c3_1 (a1979)) -> (~(c2_1 (a1979))) -> (~(c0_1 (a1979))) -> (~(hskp4)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((hskp4)\/(hskp27))) -> (~(c0_1 (a1989))) -> (~(c3_1 (a1989))) -> (c2_1 (a1989)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp13)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> (~(hskp14)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (~(c1_1 (a1971))) -> (c0_1 (a1971)) -> (c2_1 (a1971)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> False). % 0.78/0.95 do 0 intro. intros zenon_H18d zenon_Hc5 zenon_H4f zenon_H19 zenon_H7 zenon_H186 zenon_H1a6 zenon_H9b zenon_H145 zenon_H146 zenon_H147 zenon_H1b1 zenon_H19d zenon_H19c zenon_H19b zenon_H178 zenon_H1f3 zenon_H1f2 zenon_H1f1 zenon_H3a zenon_H52 zenon_H11a zenon_H11b zenon_H11c zenon_H2d zenon_H15 zenon_H127 zenon_H50 zenon_H131 zenon_H15a zenon_H6c zenon_H174 zenon_H161 zenon_H239 zenon_H23a zenon_H23b zenon_H157 zenon_H187. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.78/0.95 apply (zenon_L241_); trivial. % 0.78/0.95 apply (zenon_L393_); trivial. % 0.78/0.95 apply (zenon_L192_); trivial. % 0.78/0.95 (* end of lemma zenon_L394_ *) % 0.78/0.95 assert (zenon_L395_ : ((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a1992))) -> (~(c2_1 (a1992))) -> (c1_1 (a1992)) -> (~(hskp7)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/(hskp7))) -> (c3_1 (a1983)) -> (~(c1_1 (a1983))) -> (~(c0_1 (a1983))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (~(c1_1 (a1971))) -> (c0_1 (a1971)) -> (c2_1 (a1971)) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> False). % 0.78/0.95 do 0 intro. intros zenon_H188 zenon_H4f zenon_H1a6 zenon_H9b zenon_Hc7 zenon_Hc8 zenon_Hc9 zenon_He7 zenon_Hea zenon_H19d zenon_H19c zenon_H19b zenon_H161 zenon_H239 zenon_H23a zenon_H23b zenon_H145 zenon_H146 zenon_H147 zenon_H157. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Ha. zenon_intro zenon_H189. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H13f. zenon_intro zenon_H18a. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H17 | zenon_intro zenon_H53 ]. % 0.78/0.95 apply (zenon_L359_); trivial. % 0.78/0.95 apply (zenon_L245_); trivial. % 0.78/0.95 (* end of lemma zenon_L395_ *) % 0.78/0.95 assert (zenon_L396_ : ((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> (c3_1 (a1979)) -> (~(c2_1 (a1979))) -> (~(c0_1 (a1979))) -> (c1_1 (a1985)) -> (~(c3_1 (a1985))) -> (~(c0_1 (a1985))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (c0_1 (a1996)) -> (c3_1 (a1996)) -> (~(c2_1 (a1996))) -> (c2_1 (a1971)) -> (c0_1 (a1971)) -> (~(c1_1 (a1971))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp17)) -> False). % 0.78/0.95 do 0 intro. intros zenon_H8b zenon_H15a zenon_H1f3 zenon_H1f2 zenon_H1f1 zenon_H193 zenon_H192 zenon_H191 zenon_H157 zenon_H13f zenon_H137 zenon_H135 zenon_H23b zenon_H23a zenon_H239 zenon_H2d zenon_H2b. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Ha. zenon_intro zenon_H8c. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H78. zenon_intro zenon_H8d. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H59 | zenon_intro zenon_H15b ]. % 0.78/0.95 apply (zenon_L209_); trivial. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1c | zenon_intro zenon_H134 ]. % 0.78/0.95 apply (zenon_L131_); trivial. % 0.78/0.95 apply (zenon_L370_); trivial. % 0.78/0.95 (* end of lemma zenon_L396_ *) % 0.78/0.95 assert (zenon_L397_ : ((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp13)) -> (c2_1 (a1989)) -> (~(c3_1 (a1989))) -> (~(c0_1 (a1989))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> (~(c1_1 (a1971))) -> (c0_1 (a1971)) -> (c2_1 (a1971)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (c1_1 (a1985)) -> (~(c3_1 (a1985))) -> (~(c0_1 (a1985))) -> (c3_1 (a1979)) -> (~(c2_1 (a1979))) -> (~(c0_1 (a1979))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (~(hskp5)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> (~(c0_1 (a1992))) -> (~(c2_1 (a1992))) -> (c1_1 (a1992)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> (~(hskp7)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/(hskp7))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> False). % 0.78/0.95 do 0 intro. intros zenon_H188 zenon_Hc5 zenon_H127 zenon_H15 zenon_H11c zenon_H11b zenon_H11a zenon_H89 zenon_H15a zenon_H239 zenon_H23a zenon_H23b zenon_H2d zenon_H157 zenon_H193 zenon_H192 zenon_H191 zenon_H1f3 zenon_H1f2 zenon_H1f1 zenon_H161 zenon_H9b zenon_H18b zenon_Hc7 zenon_Hc8 zenon_Hc9 zenon_H172 zenon_H3a zenon_He7 zenon_Hea zenon_H4f. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Ha. zenon_intro zenon_H189. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H13f. zenon_intro zenon_H18a. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.78/0.95 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H17 | zenon_intro zenon_H53 ]. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H72 | zenon_intro zenon_H8b ]. % 0.78/0.95 apply (zenon_L118_); trivial. % 0.78/0.95 apply (zenon_L396_); trivial. % 0.78/0.95 apply (zenon_L121_); trivial. % 0.78/0.95 apply (zenon_L77_); trivial. % 0.78/0.95 (* end of lemma zenon_L397_ *) % 0.78/0.95 assert (zenon_L398_ : ((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> (c3_1 (a1979)) -> (~(c2_1 (a1979))) -> (~(c0_1 (a1979))) -> (c1_1 (a1985)) -> (~(c3_1 (a1985))) -> (~(c0_1 (a1985))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (c2_1 (a1971)) -> (c0_1 (a1971)) -> (~(c1_1 (a1971))) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> False). % 0.78/0.95 do 0 intro. intros zenon_H188 zenon_H15a zenon_H1f3 zenon_H1f2 zenon_H1f1 zenon_H193 zenon_H192 zenon_H191 zenon_H157 zenon_H23b zenon_H23a zenon_H239 zenon_H145 zenon_H146 zenon_H147. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Ha. zenon_intro zenon_H189. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H13f. zenon_intro zenon_H18a. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H59 | zenon_intro zenon_H15b ]. % 0.78/0.95 apply (zenon_L209_); trivial. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1c | zenon_intro zenon_H134 ]. % 0.78/0.95 apply (zenon_L131_); trivial. % 0.78/0.95 apply (zenon_L373_); trivial. % 0.78/0.95 (* end of lemma zenon_L398_ *) % 0.78/0.95 assert (zenon_L399_ : ((ndr1_0)/\((c2_1 (a1987))/\((c3_1 (a1987))/\(~(c1_1 (a1987)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a1989))/\((~(c0_1 (a1989)))/\(~(c3_1 (a1989))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((hskp13)\/(hskp20))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> (~(c1_1 (a1971))) -> (c0_1 (a1971)) -> (c2_1 (a1971)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (c1_1 (a1985)) -> (~(c3_1 (a1985))) -> (~(c0_1 (a1985))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp27))) -> (c3_1 (a1983)) -> (~(c1_1 (a1983))) -> (~(c0_1 (a1983))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> (c3_1 (a1979)) -> (~(c2_1 (a1979))) -> (~(c0_1 (a1979))) -> (~(hskp4)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((hskp4)\/(hskp27))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> False). % 0.78/0.95 do 0 intro. intros zenon_H1b3 zenon_H1a8 zenon_Hff zenon_H127 zenon_H2d zenon_H19 zenon_H4f zenon_Hc5 zenon_H187 zenon_H15a zenon_H239 zenon_H23a zenon_H23b zenon_H157 zenon_H193 zenon_H192 zenon_H191 zenon_H7 zenon_H186 zenon_H1a6 zenon_H9b zenon_H1b1 zenon_H19d zenon_H19c zenon_H19b zenon_H178 zenon_H1f3 zenon_H1f2 zenon_H1f1 zenon_H3a zenon_H52 zenon_H4b zenon_H50 zenon_H131 zenon_H18d. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_Ha. zenon_intro zenon_H1b4. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H146. zenon_intro zenon_H1b5. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H147. zenon_intro zenon_H145. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.78/0.95 apply (zenon_L250_); trivial. % 0.78/0.95 apply (zenon_L398_); trivial. % 0.78/0.95 apply (zenon_L96_); trivial. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H11c. zenon_intro zenon_H190. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H11a. zenon_intro zenon_H11b. % 0.78/0.95 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.78/0.95 apply (zenon_L241_); trivial. % 0.78/0.95 apply (zenon_L398_); trivial. % 0.78/0.95 apply (zenon_L192_); trivial. % 0.78/0.95 apply (zenon_L150_); trivial. % 0.78/0.95 (* end of lemma zenon_L399_ *) % 0.78/0.95 assert (zenon_L400_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a1989))/\((~(c0_1 (a1989)))/\(~(c3_1 (a1989))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a1983)) -> (~(c1_1 (a1983))) -> (~(c0_1 (a1983))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> (~(c0_1 (a1979))) -> (~(c2_1 (a1979))) -> (c3_1 (a1979)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39)))))))) -> (c0_1 (a1981)) -> (c1_1 (a1981)) -> (~(c3_1 (a1981))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> (ndr1_0) -> (~(c1_1 (a1971))) -> (c0_1 (a1971)) -> (c2_1 (a1971)) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/((hskp10)\/(hskp11))) -> False). % 0.78/0.95 do 0 intro. intros zenon_H1a8 zenon_Hff zenon_H1a6 zenon_H9b zenon_H19d zenon_H19c zenon_H19b zenon_H186 zenon_H1f1 zenon_H1f2 zenon_H1f3 zenon_H1ea zenon_H1bb zenon_H1bc zenon_H1c8 zenon_H2d zenon_H178 zenon_H127 zenon_Hc5 zenon_Ha zenon_H239 zenon_H23a zenon_H23b zenon_H6e zenon_H242. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.95 apply (zenon_L343_); trivial. % 0.78/0.95 apply (zenon_L268_); trivial. % 0.78/0.95 (* end of lemma zenon_L400_ *) % 0.78/0.95 assert (zenon_L401_ : ((ndr1_0)/\((c0_1 (a1981))/\((c1_1 (a1981))/\(~(c3_1 (a1981)))))) -> ((~(hskp8))\/((ndr1_0)/\((c3_1 (a1983))/\((~(c0_1 (a1983)))/\(~(c1_1 (a1983))))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a1987))/\((c3_1 (a1987))/\(~(c1_1 (a1987))))))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp27))) -> (~(hskp4)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/((hskp10)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a1989))/\((~(c0_1 (a1989)))/\(~(c3_1 (a1989))))))) -> (~(c0_1 (a1979))) -> (~(c2_1 (a1979))) -> (c3_1 (a1979)) -> (~(c1_1 (a1971))) -> (c0_1 (a1971)) -> (c2_1 (a1971)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp8))) -> False). % 0.78/0.95 do 0 intro. intros zenon_H206 zenon_H207 zenon_H1b7 zenon_H1b1 zenon_H3a zenon_H4b zenon_H50 zenon_H242 zenon_Hc5 zenon_H127 zenon_H178 zenon_H2d zenon_H1ea zenon_H186 zenon_H9b zenon_H1a6 zenon_Hff zenon_H1a8 zenon_H1f1 zenon_H1f2 zenon_H1f3 zenon_H239 zenon_H23a zenon_H23b zenon_H244. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_Ha. zenon_intro zenon_H208. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1bb. zenon_intro zenon_H209. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H9d | zenon_intro zenon_H1ee ]. % 0.78/0.95 apply (zenon_L389_); trivial. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Ha. zenon_intro zenon_H1ef. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H19d. zenon_intro zenon_H1f0. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H19b. zenon_intro zenon_H19c. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H6e | zenon_intro zenon_H1b3 ]. % 0.78/0.95 apply (zenon_L400_); trivial. % 0.78/0.95 apply (zenon_L270_); trivial. % 0.78/0.95 (* end of lemma zenon_L401_ *) % 0.78/0.95 assert (zenon_L402_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (c1_1 (a1977)) -> (forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24)))))) -> (~(c2_1 (a1977))) -> (c3_1 (a2001)) -> (c2_1 (a2001)) -> (~(c0_1 (a2001))) -> (ndr1_0) -> False). % 0.78/0.95 do 0 intro. intros zenon_H12d zenon_H20d zenon_Hc6 zenon_H20a zenon_He zenon_Hd zenon_Hc zenon_Ha. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_Hb | zenon_intro zenon_Hab ]. % 0.78/0.95 apply (zenon_L6_); trivial. % 0.78/0.95 apply (zenon_L288_); trivial. % 0.78/0.95 (* end of lemma zenon_L402_ *) % 0.78/0.95 assert (zenon_L403_ : (forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41)))))) -> (ndr1_0) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25)))))) -> (~(c0_1 (a1989))) -> (c2_1 (a1989)) -> (~(c3_1 (a1989))) -> False). % 0.78/0.95 do 0 intro. intros zenon_H1d8 zenon_Ha zenon_Hd5 zenon_H11a zenon_H11c zenon_H11b. % 0.78/0.95 generalize (zenon_H1d8 (a1989)). zenon_intro zenon_H248. % 0.78/0.95 apply (zenon_imply_s _ _ zenon_H248); [ zenon_intro zenon_H9 | zenon_intro zenon_H249 ]. % 0.78/0.95 exact (zenon_H9 zenon_Ha). % 0.78/0.95 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H24a | zenon_intro zenon_H11f ]. % 0.78/0.95 generalize (zenon_Hd5 (a1989)). zenon_intro zenon_H24b. % 0.78/0.95 apply (zenon_imply_s _ _ zenon_H24b); [ zenon_intro zenon_H9 | zenon_intro zenon_H24c ]. % 0.78/0.95 exact (zenon_H9 zenon_Ha). % 0.78/0.95 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H120 | zenon_intro zenon_H24d ]. % 0.78/0.95 exact (zenon_H11a zenon_H120). % 0.78/0.95 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H24e | zenon_intro zenon_H121 ]. % 0.78/0.95 exact (zenon_H24e zenon_H24a). % 0.78/0.95 exact (zenon_H121 zenon_H11c). % 0.78/0.95 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H122 | zenon_intro zenon_H121 ]. % 0.78/0.95 exact (zenon_H11b zenon_H122). % 0.78/0.95 exact (zenon_H121 zenon_H11c). % 0.78/0.95 (* end of lemma zenon_L403_ *) % 0.78/0.95 assert (zenon_L404_ : ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((hskp23)\/(hskp6))) -> (~(c3_1 (a1989))) -> (c2_1 (a1989)) -> (~(c0_1 (a1989))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25)))))) -> (ndr1_0) -> (~(hskp23)) -> (~(hskp6)) -> False). % 0.78/0.95 do 0 intro. intros zenon_H1e2 zenon_H11b zenon_H11c zenon_H11a zenon_Hd5 zenon_Ha zenon_H99 zenon_H74. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e3 ]. % 0.78/0.95 apply (zenon_L403_); trivial. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H9a | zenon_intro zenon_H75 ]. % 0.78/0.95 exact (zenon_H99 zenon_H9a). % 0.78/0.95 exact (zenon_H74 zenon_H75). % 0.78/0.95 (* end of lemma zenon_L404_ *) % 0.78/0.95 assert (zenon_L405_ : ((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (c1_1 (a1977)) -> (~(c2_1 (a1977))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((hskp23)\/(hskp6))) -> (~(hskp6)) -> (~(c3_1 (a1989))) -> (c2_1 (a1989)) -> (~(c0_1 (a1989))) -> (~(hskp7)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/(hskp7))) -> False). % 0.78/0.95 do 0 intro. intros zenon_H12e zenon_Hbc zenon_H12d zenon_H20d zenon_H20a zenon_H1e2 zenon_H74 zenon_H11b zenon_H11c zenon_H11a zenon_He7 zenon_Hea. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Ha. zenon_intro zenon_H12f. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_Hd. zenon_intro zenon_H130. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.78/0.95 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb7 ]. % 0.78/0.95 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hed ]. % 0.78/0.95 apply (zenon_L402_); trivial. % 0.78/0.95 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He8 ]. % 0.78/0.95 apply (zenon_L404_); trivial. % 0.78/0.95 exact (zenon_He7 zenon_He8). % 0.78/0.95 apply (zenon_L82_); trivial. % 0.78/0.95 (* end of lemma zenon_L405_ *) % 0.78/0.95 assert (zenon_L406_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (c1_1 (a1977)) -> (~(c2_1 (a1977))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((hskp23)\/(hskp6))) -> (~(hskp6)) -> (~(c3_1 (a1989))) -> (c2_1 (a1989)) -> (~(c0_1 (a1989))) -> (~(hskp7)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/(hskp7))) -> (~(hskp16)) -> (~(hskp15)) -> ((hskp16)\/((hskp19)\/(hskp15))) -> False). % 0.78/0.95 do 0 intro. intros zenon_H131 zenon_Hbc zenon_H12d zenon_H20d zenon_H20a zenon_H1e2 zenon_H74 zenon_H11b zenon_H11c zenon_H11a zenon_He7 zenon_Hea zenon_H1 zenon_H5 zenon_H7. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H3 | zenon_intro zenon_H12e ]. % 0.78/0.95 apply (zenon_L4_); trivial. % 0.78/0.95 apply (zenon_L405_); trivial. % 0.78/0.95 (* end of lemma zenon_L406_ *) % 0.78/0.95 assert (zenon_L407_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (~(hskp17)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (c2_1 (a1971)) -> (c0_1 (a1971)) -> (~(c1_1 (a1971))) -> (~(c2_1 (a1996))) -> (c3_1 (a1996)) -> (c0_1 (a1996)) -> (~(hskp20)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (~(hskp27)) -> (~(hskp6)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> False). % 0.78/0.95 do 0 intro. intros zenon_H89 zenon_H157 zenon_H2b zenon_H2d zenon_H23b zenon_H23a zenon_H239 zenon_H135 zenon_H137 zenon_H13f zenon_H17 zenon_H161 zenon_H3c zenon_H74 zenon_H76. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H72 | zenon_intro zenon_H8b ]. % 0.78/0.95 apply (zenon_L32_); trivial. % 0.78/0.95 apply (zenon_L346_); trivial. % 0.78/0.95 (* end of lemma zenon_L407_ *) % 0.78/0.95 assert (zenon_L408_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp13)) -> (c2_1 (a1989)) -> (~(c3_1 (a1989))) -> (~(c0_1 (a1989))) -> ((hskp30)\/((hskp27)\/(hskp6))) -> (~(hskp6)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (~(hskp20)) -> (c0_1 (a1996)) -> (c3_1 (a1996)) -> (~(c2_1 (a1996))) -> (~(c1_1 (a1971))) -> (c0_1 (a1971)) -> (c2_1 (a1971)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp17)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> False). % 0.78/0.95 do 0 intro. intros zenon_H50 zenon_H127 zenon_H15 zenon_H11c zenon_H11b zenon_H11a zenon_H76 zenon_H74 zenon_H161 zenon_H17 zenon_H13f zenon_H137 zenon_H135 zenon_H239 zenon_H23a zenon_H23b zenon_H2d zenon_H2b zenon_H157 zenon_H89. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H3c | zenon_intro zenon_H4a ]. % 0.78/0.95 apply (zenon_L407_); trivial. % 0.78/0.95 apply (zenon_L190_); trivial. % 0.78/0.95 (* end of lemma zenon_L408_ *) % 0.78/0.95 assert (zenon_L409_ : ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12))) -> (~(c3_1 (a1977))) -> (c1_1 (a1977)) -> (~(c2_1 (a1977))) -> (forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9)))))) -> (c3_1 (a1998)) -> (c1_1 (a1998)) -> (~(c0_1 (a1998))) -> (ndr1_0) -> (~(hskp12)) -> False). % 0.78/0.95 do 0 intro. intros zenon_H51 zenon_H20c zenon_H20d zenon_H20a zenon_Hab zenon_H5a zenon_Hc4 zenon_H58 zenon_Ha zenon_H38. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H1c | zenon_intro zenon_H57 ]. % 0.78/0.95 apply (zenon_L276_); trivial. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H2e | zenon_intro zenon_H39 ]. % 0.78/0.95 apply (zenon_L76_); trivial. % 0.78/0.95 exact (zenon_H38 zenon_H39). % 0.78/0.95 (* end of lemma zenon_L409_ *) % 0.78/0.95 assert (zenon_L410_ : ((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(c2_1 (a1977))) -> (c1_1 (a1977)) -> (~(c3_1 (a1977))) -> (~(hskp12)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12))) -> (~(c1_1 (a1971))) -> (c0_1 (a1971)) -> (c2_1 (a1971)) -> (~(hskp8)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp8))) -> False). % 0.78/0.95 do 0 intro. intros zenon_Hc1 zenon_H12d zenon_H20a zenon_H20d zenon_H20c zenon_H38 zenon_H51 zenon_H239 zenon_H23a zenon_H23b zenon_H9d zenon_H244. % 0.78/0.95 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2. % 0.78/0.95 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc3. % 0.78/0.95 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_Hb | zenon_intro zenon_Hab ]. % 0.78/0.95 apply (zenon_L352_); trivial. % 0.78/0.95 apply (zenon_L409_); trivial. % 0.78/0.95 (* end of lemma zenon_L410_ *) % 0.78/0.95 assert (zenon_L411_ : ((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(c2_1 (a1977))) -> (c1_1 (a1977)) -> (~(c3_1 (a1977))) -> (~(hskp12)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12))) -> (~(c1_1 (a1971))) -> (c0_1 (a1971)) -> (c2_1 (a1971)) -> (~(hskp8)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp8))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((hskp4)\/(hskp27))) -> (~(hskp4)) -> (~(c0_1 (a1989))) -> (~(c3_1 (a1989))) -> (c2_1 (a1989)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp13)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> False). % 0.78/0.95 do 0 intro. intros zenon_H15c zenon_Hc5 zenon_H12d zenon_H20a zenon_H20d zenon_H20c zenon_H38 zenon_H51 zenon_H239 zenon_H23a zenon_H23b zenon_H9d zenon_H244 zenon_H52 zenon_H3a zenon_H11a zenon_H11b zenon_H11c zenon_H2d zenon_H15 zenon_H127 zenon_H50. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_Ha. zenon_intro zenon_H15d. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H106. zenon_intro zenon_H15e. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.78/0.95 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.95 apply (zenon_L191_); trivial. % 0.78/0.95 apply (zenon_L410_); trivial. % 0.78/0.95 (* end of lemma zenon_L411_ *) % 0.78/0.95 assert (zenon_L412_ : ((ndr1_0)/\((~(c0_1 (a2000)))/\((~(c1_1 (a2000)))/\(~(c3_1 (a2000)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> (c3_1 (a1990)) -> (~(c2_1 (a1990))) -> (~(c1_1 (a1990))) -> (~(c1_1 (a1971))) -> (c0_1 (a1971)) -> (c2_1 (a1971)) -> False). % 0.78/0.95 do 0 intro. intros zenon_Hbd zenon_H24f zenon_H110 zenon_H10f zenon_H10e zenon_H239 zenon_H23a zenon_H23b. % 0.78/0.95 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha. zenon_intro zenon_Hbe. % 0.78/0.95 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Ha2. zenon_intro zenon_Hbf. % 0.78/0.95 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha4. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H250 ]. % 0.78/0.95 apply (zenon_L45_); trivial. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H10d | zenon_intro zenon_H144 ]. % 0.78/0.95 apply (zenon_L73_); trivial. % 0.78/0.95 apply (zenon_L342_); trivial. % 0.78/0.95 (* end of lemma zenon_L412_ *) % 0.78/0.95 assert (zenon_L413_ : ((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2000)))/\((~(c1_1 (a2000)))/\(~(c3_1 (a2000))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> (c2_1 (a1971)) -> (c0_1 (a1971)) -> (~(c1_1 (a1971))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/((hskp6)\/(hskp18))) -> (~(hskp6)) -> (~(c2_1 (a1977))) -> (~(c3_1 (a1977))) -> (c1_1 (a1977)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39)))))))) -> False). % 0.78/0.95 do 0 intro. intros zenon_H129 zenon_Hc0 zenon_H24f zenon_H23b zenon_H23a zenon_H239 zenon_H8a zenon_H74 zenon_H20a zenon_H20c zenon_H20d zenon_H1ea. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Ha. zenon_intro zenon_H12a. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H110. zenon_intro zenon_H12b. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.78/0.95 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H87 | zenon_intro zenon_Hbd ]. % 0.78/0.95 apply (zenon_L282_); trivial. % 0.78/0.95 apply (zenon_L412_); trivial. % 0.78/0.95 (* end of lemma zenon_L413_ *) % 0.78/0.95 assert (zenon_L414_ : ((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> (~(hskp11)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp17)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp4)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((hskp4)\/(hskp27))) -> (~(hskp13)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((hskp13)\/(hskp20))) -> False). % 0.78/0.95 do 0 intro. intros zenon_H12e zenon_H4f zenon_H50 zenon_H4b zenon_H48 zenon_H51 zenon_H38 zenon_H2b zenon_H2d zenon_H3a zenon_H52 zenon_H15 zenon_H19. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Ha. zenon_intro zenon_H12f. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_Hd. zenon_intro zenon_H130. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.78/0.95 apply (zenon_L20_); trivial. % 0.78/0.95 (* end of lemma zenon_L414_ *) % 0.78/0.95 assert (zenon_L415_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(c2_1 (a1977))) -> (c1_1 (a1977)) -> (~(c3_1 (a1977))) -> (~(c1_1 (a1971))) -> (c0_1 (a1971)) -> (c2_1 (a1971)) -> (~(hskp8)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp8))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> (~(hskp15)) -> (~(hskp16)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((hskp13)\/(hskp20))) -> (~(hskp13)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((hskp4)\/(hskp27))) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp12)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12))) -> (~(hskp11)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> False). % 0.78/0.95 do 0 intro. intros zenon_Hc5 zenon_H12d zenon_H20a zenon_H20d zenon_H20c zenon_H239 zenon_H23a zenon_H23b zenon_H9d zenon_H244 zenon_H7 zenon_H5 zenon_H1 zenon_H19 zenon_H15 zenon_H52 zenon_H3a zenon_H2d zenon_H38 zenon_H51 zenon_H48 zenon_H4b zenon_H50 zenon_H4f zenon_H131. % 0.78/0.95 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H3 | zenon_intro zenon_H12e ]. % 0.78/0.95 apply (zenon_L4_); trivial. % 0.78/0.95 apply (zenon_L414_); trivial. % 0.78/0.95 apply (zenon_L410_); trivial. % 0.78/0.95 (* end of lemma zenon_L415_ *) % 0.78/0.95 assert (zenon_L416_ : ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (~(c3_1 (a2003))) -> (c1_1 (a2003)) -> (c2_1 (a2003)) -> (~(hskp17)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (c1_1 (a1977)) -> (forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24)))))) -> (~(c2_1 (a1977))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/((hskp6)\/(hskp18))) -> (c2_1 (a2005)) -> (c3_1 (a2005)) -> (c0_1 (a2005)) -> (ndr1_0) -> (~(hskp6)) -> (~(hskp18)) -> False). % 0.78/0.95 do 0 intro. intros zenon_H1d6 zenon_H1d zenon_H1e zenon_H1f zenon_H2b zenon_H2d zenon_H20d zenon_Hc6 zenon_H20a zenon_H8a zenon_H7b zenon_H7a zenon_H78 zenon_Ha zenon_H74 zenon_H87. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1c | zenon_intro zenon_H1d7 ]. % 0.78/0.95 apply (zenon_L12_); trivial. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_Hab | zenon_intro zenon_H1b ]. % 0.78/0.95 apply (zenon_L288_); trivial. % 0.78/0.95 apply (zenon_L289_); trivial. % 0.78/0.95 (* end of lemma zenon_L416_ *) % 0.78/0.95 assert (zenon_L417_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp17)) -> (c2_1 (a2003)) -> (c1_1 (a2003)) -> (~(c3_1 (a2003))) -> (~(c2_1 (a1977))) -> (c1_1 (a1977)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/((hskp6)\/(hskp18))) -> (~(hskp18)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (~(hskp27)) -> (~(hskp6)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> False). % 0.78/0.95 do 0 intro. intros zenon_H89 zenon_Hea zenon_He7 zenon_H3a zenon_H172 zenon_H2d zenon_H2b zenon_H1f zenon_H1e zenon_H1d zenon_H20a zenon_H20d zenon_H8a zenon_H87 zenon_H1d6 zenon_H3c zenon_H74 zenon_H76. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H72 | zenon_intro zenon_H8b ]. % 0.78/0.95 apply (zenon_L32_); trivial. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Ha. zenon_intro zenon_H8c. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H78. zenon_intro zenon_H8d. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.78/0.95 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hed ]. % 0.78/0.95 apply (zenon_L416_); trivial. % 0.78/0.95 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He8 ]. % 0.78/0.95 apply (zenon_L120_); trivial. % 0.78/0.95 exact (zenon_He7 zenon_He8). % 0.78/0.95 (* end of lemma zenon_L417_ *) % 0.78/0.95 assert (zenon_L418_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> (~(hskp17)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> (c1_1 (a1992)) -> (~(c2_1 (a1992))) -> (~(c0_1 (a1992))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (c0_1 (a1996)) -> (c3_1 (a1996)) -> (~(c2_1 (a1996))) -> (ndr1_0) -> (~(c1_1 (a1971))) -> (c0_1 (a1971)) -> (c2_1 (a1971)) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> False). % 0.78/0.95 do 0 intro. intros zenon_H4f zenon_Hea zenon_He7 zenon_H3a zenon_H2b zenon_H172 zenon_Hc9 zenon_Hc8 zenon_Hc7 zenon_H161 zenon_H13f zenon_H137 zenon_H135 zenon_Ha zenon_H239 zenon_H23a zenon_H23b zenon_H145 zenon_H146 zenon_H147 zenon_H157. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H17 | zenon_intro zenon_H53 ]. % 0.78/0.95 apply (zenon_L359_); trivial. % 0.78/0.95 apply (zenon_L121_); trivial. % 0.78/0.95 (* end of lemma zenon_L418_ *) % 0.78/0.95 assert (zenon_L419_ : ((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(c2_1 (a1977))) -> (c1_1 (a1977)) -> (~(c3_1 (a1977))) -> (~(hskp12)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12))) -> (~(hskp8)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp8))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (c3_1 (a1987)) -> (c2_1 (a1987)) -> (~(c1_1 (a1987))) -> (c2_1 (a1971)) -> (c0_1 (a1971)) -> (~(c1_1 (a1971))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (~(c0_1 (a1992))) -> (~(c2_1 (a1992))) -> (c1_1 (a1992)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> (~(hskp7)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/(hskp7))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> False). % 0.78/0.95 do 0 intro. intros zenon_H188 zenon_Hc5 zenon_H12d zenon_H20a zenon_H20d zenon_H20c zenon_H38 zenon_H51 zenon_H9d zenon_H244 zenon_H157 zenon_H147 zenon_H146 zenon_H145 zenon_H23b zenon_H23a zenon_H239 zenon_H161 zenon_Hc7 zenon_Hc8 zenon_Hc9 zenon_H172 zenon_H3a zenon_He7 zenon_Hea zenon_H4f. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Ha. zenon_intro zenon_H189. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H13f. zenon_intro zenon_H18a. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.78/0.95 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.95 apply (zenon_L418_); trivial. % 0.78/0.95 apply (zenon_L410_); trivial. % 0.78/0.95 (* end of lemma zenon_L419_ *) % 0.78/0.95 assert (zenon_L420_ : ((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a2009))/\((~(c1_1 (a2009)))/\(~(c3_1 (a2009))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(hskp6)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((hskp23)\/(hskp6))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp21))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(c2_1 (a1990))) -> (c3_1 (a1990)) -> (~(c1_1 (a1990))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39)))))))) -> (c1_1 (a1977)) -> (~(c3_1 (a1977))) -> (~(c2_1 (a1977))) -> (~(hskp9)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp9))) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> False). % 0.78/0.95 do 0 intro. intros zenon_Hfc zenon_Hc5 zenon_H131 zenon_H1e9 zenon_Hbc zenon_H12d zenon_H74 zenon_H1e2 zenon_H1d4 zenon_H156 zenon_H10f zenon_H110 zenon_H10e zenon_H1ea zenon_H20d zenon_H20c zenon_H20a zenon_H65 zenon_H16d zenon_H3a zenon_H172. % 0.78/0.95 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Ha. zenon_intro zenon_Hfd. % 0.78/0.95 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hf0. zenon_intro zenon_Hfe. % 0.78/0.95 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hf1. zenon_intro zenon_Hef. % 0.78/0.95 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.95 apply (zenon_L127_); trivial. % 0.78/0.95 apply (zenon_L303_); trivial. % 0.78/0.95 (* end of lemma zenon_L420_ *) % 0.78/0.95 assert (zenon_L421_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a1989))/\((~(c0_1 (a1989)))/\(~(c3_1 (a1989))))))) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp0)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp12)\/(hskp0))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp9)\/(hskp11))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(c3_1 (a1977))) -> (c1_1 (a1977)) -> (~(c2_1 (a1977))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((hskp29)\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a1983)) -> (~(c1_1 (a1983))) -> (~(c0_1 (a1983))) -> (ndr1_0) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp9))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp21))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((hskp23)\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a2009))/\((~(c1_1 (a2009)))/\(~(c3_1 (a2009))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> False). % 0.78/0.95 do 0 intro. intros zenon_H1a8 zenon_H3a zenon_H172 zenon_H127 zenon_Hf8 zenon_Hfa zenon_Hff zenon_Hc5 zenon_H67 zenon_H65 zenon_H12d zenon_H20c zenon_H20d zenon_H20a zenon_H51 zenon_H1a4 zenon_H74 zenon_H19d zenon_H19c zenon_H19b zenon_Ha zenon_H2d zenon_H186 zenon_H16d zenon_H1ea zenon_H156 zenon_H1d4 zenon_H1e2 zenon_Hbc zenon_H1e9 zenon_H131 zenon_H12c. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.95 apply (zenon_L305_); trivial. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H11c. zenon_intro zenon_H190. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H11a. zenon_intro zenon_H11b. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.95 apply (zenon_L306_); trivial. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Ha. zenon_intro zenon_H12a. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H110. zenon_intro zenon_H12b. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.78/0.95 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.95 apply (zenon_L151_); trivial. % 0.78/0.95 apply (zenon_L420_); trivial. % 0.78/0.95 (* end of lemma zenon_L421_ *) % 0.78/0.95 assert (zenon_L422_ : ((ndr1_0)/\((c3_1 (a1983))/\((~(c0_1 (a1983)))/\(~(c1_1 (a1983)))))) -> ((~(hskp9))\/((ndr1_0)/\((c1_1 (a1985))/\((~(c0_1 (a1985)))/\(~(c3_1 (a1985))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a2009))/\((~(c1_1 (a2009)))/\(~(c3_1 (a2009))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((hskp23)\/(hskp6))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp21))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((hskp29)\/(hskp6))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12))) -> (~(c2_1 (a1977))) -> (c1_1 (a1977)) -> (~(c3_1 (a1977))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp9)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp12)\/(hskp0))) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a1989))/\((~(c0_1 (a1989)))/\(~(c3_1 (a1989))))))) -> False). % 0.78/0.95 do 0 intro. intros zenon_H1ee zenon_H1b6 zenon_H1d6 zenon_H12c zenon_H131 zenon_H1e9 zenon_Hbc zenon_H1e2 zenon_H1d4 zenon_H156 zenon_H1ea zenon_H16d zenon_H186 zenon_H2d zenon_H74 zenon_H1a4 zenon_H51 zenon_H20a zenon_H20d zenon_H20c zenon_H12d zenon_H67 zenon_Hc5 zenon_Hff zenon_Hfa zenon_Hf8 zenon_H127 zenon_H172 zenon_H3a zenon_H1a8. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Ha. zenon_intro zenon_H1ef. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H19d. zenon_intro zenon_H1f0. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H19b. zenon_intro zenon_H19c. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H65 | zenon_intro zenon_H1b8 ]. % 0.78/0.95 apply (zenon_L421_); trivial. % 0.78/0.95 apply (zenon_L311_); trivial. % 0.78/0.95 (* end of lemma zenon_L422_ *) % 0.78/0.95 assert (zenon_L423_ : ((ndr1_0)/\((c2_1 (a1989))/\((~(c0_1 (a1989)))/\(~(c3_1 (a1989)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2000)))/\((~(c1_1 (a2000)))/\(~(c3_1 (a2000))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/((hskp6)\/(hskp18))) -> (~(hskp6)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(c2_1 (a1977))) -> (c1_1 (a1977)) -> (~(c3_1 (a1977))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12))) -> (~(c1_1 (a1971))) -> (c0_1 (a1971)) -> (c2_1 (a1971)) -> (~(hskp8)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp8))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((hskp4)\/(hskp27))) -> (~(hskp4)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp15))) -> (c0_1 (a1981)) -> (c1_1 (a1981)) -> (~(c3_1 (a1981))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> (~(hskp0)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp12)\/(hskp0))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> False). % 0.78/0.95 do 0 intro. intros zenon_H18e zenon_H12c zenon_Hc0 zenon_H24f zenon_H8a zenon_H74 zenon_H1ea zenon_H18d zenon_H12d zenon_H20a zenon_H20d zenon_H20c zenon_H51 zenon_H239 zenon_H23a zenon_H23b zenon_H9d zenon_H244 zenon_H52 zenon_H3a zenon_H50 zenon_H1ec zenon_H1bb zenon_H1bc zenon_H1c8 zenon_H2d zenon_H127 zenon_Hc5 zenon_Hf8 zenon_Hfa zenon_Hff. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H11c. zenon_intro zenon_H190. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H11a. zenon_intro zenon_H11b. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.95 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.95 apply (zenon_L189_); trivial. % 0.78/0.95 apply (zenon_L411_); trivial. % 0.78/0.95 apply (zenon_L68_); trivial. % 0.78/0.95 apply (zenon_L413_); trivial. % 0.78/0.95 (* end of lemma zenon_L423_ *) % 0.78/0.95 assert (zenon_L424_ : ((ndr1_0)/\((c2_1 (a1987))/\((c3_1 (a1987))/\(~(c1_1 (a1987)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a1989))/\((~(c0_1 (a1989)))/\(~(c3_1 (a1989))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp15))) -> (~(c3_1 (a1981))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp12)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp9)\/(hskp11))) -> (~(hskp9)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> (~(hskp6)) -> (c1_1 (a1981)) -> (c0_1 (a1981)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/((hskp6)\/(hskp18))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2000)))/\((~(c1_1 (a2000)))/\(~(c3_1 (a2000))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp4)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((hskp4)\/(hskp27))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((hskp13)\/(hskp20))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp8))) -> (~(hskp8)) -> (c2_1 (a1971)) -> (c0_1 (a1971)) -> (~(c1_1 (a1971))) -> (~(c3_1 (a1977))) -> (c1_1 (a1977)) -> (~(c2_1 (a1977))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> False). % 0.78/0.95 do 0 intro. intros zenon_H1b3 zenon_H1a8 zenon_H1ec zenon_H1c8 zenon_H127 zenon_Hff zenon_Hfa zenon_Hf8 zenon_H187 zenon_H67 zenon_H65 zenon_H76 zenon_H74 zenon_H1bc zenon_H1bb zenon_H8a zenon_H1d6 zenon_H89 zenon_H161 zenon_H157 zenon_H172 zenon_H246 zenon_Hc0 zenon_H131 zenon_H4f zenon_H50 zenon_H4b zenon_H51 zenon_H2d zenon_H3a zenon_H52 zenon_H19 zenon_H7 zenon_H244 zenon_H9d zenon_H23b zenon_H23a zenon_H239 zenon_H20c zenon_H20d zenon_H20a zenon_H12d zenon_Hc5 zenon_H18d zenon_H1ea zenon_H24f zenon_H12c. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_Ha. zenon_intro zenon_H1b4. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H146. zenon_intro zenon_H1b5. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H147. zenon_intro zenon_H145. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.95 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.78/0.95 apply (zenon_L415_); trivial. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Ha. zenon_intro zenon_H189. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H13f. zenon_intro zenon_H18a. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.78/0.95 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.95 apply (zenon_L385_); trivial. % 0.78/0.95 apply (zenon_L279_); trivial. % 0.78/0.95 apply (zenon_L96_); trivial. % 0.78/0.95 apply (zenon_L68_); trivial. % 0.78/0.95 apply (zenon_L413_); trivial. % 0.78/0.95 apply (zenon_L423_); trivial. % 0.78/0.95 (* end of lemma zenon_L424_ *) % 0.78/0.95 assert (zenon_L425_ : ((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))) -> (~(c0_1 (a1985))) -> (~(c3_1 (a1985))) -> (c1_1 (a1985)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a1977)) -> (~(c3_1 (a1977))) -> (~(c2_1 (a1977))) -> (~(hskp12)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12))) -> (~(hskp4)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((hskp4)\/(hskp27))) -> False). % 0.78/0.95 do 0 intro. intros zenon_H15c zenon_H50 zenon_H22b zenon_H191 zenon_H192 zenon_H193 zenon_H1d6 zenon_H20d zenon_H20c zenon_H20a zenon_H38 zenon_H51 zenon_H3a zenon_H52. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_Ha. zenon_intro zenon_H15d. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H106. zenon_intro zenon_H15e. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H3c | zenon_intro zenon_H4a ]. % 0.78/0.95 apply (zenon_L71_); trivial. % 0.78/0.95 apply (zenon_L296_); trivial. % 0.78/0.95 (* end of lemma zenon_L425_ *) % 0.78/0.95 assert (zenon_L426_ : ((ndr1_0)/\((c2_1 (a1989))/\((~(c0_1 (a1989)))/\(~(c3_1 (a1989)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2000)))/\((~(c1_1 (a2000)))/\(~(c3_1 (a2000))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> (c2_1 (a1971)) -> (c0_1 (a1971)) -> (~(c1_1 (a1971))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/((hskp6)\/(hskp18))) -> (~(hskp6)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))) -> (~(c0_1 (a1985))) -> (~(c3_1 (a1985))) -> (c1_1 (a1985)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a1977)) -> (~(c3_1 (a1977))) -> (~(c2_1 (a1977))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12))) -> (~(hskp4)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((hskp4)\/(hskp27))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp15))) -> (c0_1 (a1981)) -> (c1_1 (a1981)) -> (~(c3_1 (a1981))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> False). % 0.78/0.95 do 0 intro. intros zenon_H18e zenon_H12c zenon_Hc0 zenon_H24f zenon_H23b zenon_H23a zenon_H239 zenon_H8a zenon_H74 zenon_H1ea zenon_H18d zenon_H50 zenon_H22b zenon_H191 zenon_H192 zenon_H193 zenon_H1d6 zenon_H20d zenon_H20c zenon_H20a zenon_H51 zenon_H3a zenon_H52 zenon_H1ec zenon_H1bb zenon_H1bc zenon_H1c8 zenon_H2d zenon_H127 zenon_Hc5 zenon_H172 zenon_Hff. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H11c. zenon_intro zenon_H190. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H11a. zenon_intro zenon_H11b. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.95 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.95 apply (zenon_L189_); trivial. % 0.78/0.95 apply (zenon_L425_); trivial. % 0.78/0.95 apply (zenon_L133_); trivial. % 0.78/0.95 apply (zenon_L413_); trivial. % 0.78/0.95 (* end of lemma zenon_L426_ *) % 0.78/0.95 assert (zenon_L427_ : ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (c1_1 (a1981)) -> (c0_1 (a1981)) -> (~(c3_1 (a1981))) -> (~(c2_1 (a1996))) -> (c3_1 (a1996)) -> (c0_1 (a1996)) -> (forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/(forall X62 : zenon_U, ((ndr1_0)->((c3_1 X62)\/((~(c0_1 X62))\/(~(c1_1 X62)))))))) -> (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33)))))) -> (ndr1_0) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> False). % 0.78/0.95 do 0 intro. intros zenon_H157 zenon_H1bc zenon_H1bb zenon_H1c8 zenon_H135 zenon_H137 zenon_H13f zenon_H1b zenon_H1e4 zenon_Hb zenon_Ha zenon_H145 zenon_H146 zenon_H147. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H13e | zenon_intro zenon_H159 ]. % 0.78/0.95 apply (zenon_L177_); trivial. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H144 | zenon_intro zenon_H153 ]. % 0.78/0.95 apply (zenon_L89_); trivial. % 0.78/0.95 apply (zenon_L90_); trivial. % 0.78/0.95 (* end of lemma zenon_L427_ *) % 0.78/0.95 assert (zenon_L428_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/(forall X62 : zenon_U, ((ndr1_0)->((c3_1 X62)\/((~(c0_1 X62))\/(~(c1_1 X62)))))))) -> (c0_1 (a1996)) -> (c3_1 (a1996)) -> (~(c2_1 (a1996))) -> (~(c3_1 (a1981))) -> (c1_1 (a1981)) -> (c0_1 (a1981)) -> (forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (ndr1_0) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> False). % 0.78/0.95 do 0 intro. intros zenon_H12d zenon_H1e4 zenon_H13f zenon_H137 zenon_H135 zenon_H1c8 zenon_H1bc zenon_H1bb zenon_H1b zenon_Ha zenon_H145 zenon_H146 zenon_H147 zenon_H157. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_Hb | zenon_intro zenon_Hab ]. % 0.78/0.95 apply (zenon_L427_); trivial. % 0.78/0.95 apply (zenon_L161_); trivial. % 0.78/0.95 (* end of lemma zenon_L428_ *) % 0.78/0.95 assert (zenon_L429_ : ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a1985)) -> (~(c3_1 (a1985))) -> (~(c0_1 (a1985))) -> (c1_1 (a1977)) -> (~(c3_1 (a1977))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X))))) -> (~(c2_1 (a1977))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/(forall X62 : zenon_U, ((ndr1_0)->((c3_1 X62)\/((~(c0_1 X62))\/(~(c1_1 X62)))))))) -> (c0_1 (a1996)) -> (c3_1 (a1996)) -> (~(c2_1 (a1996))) -> (~(c3_1 (a1981))) -> (c1_1 (a1981)) -> (c0_1 (a1981)) -> (ndr1_0) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> False). % 0.78/0.95 do 0 intro. intros zenon_H1d6 zenon_H193 zenon_H192 zenon_H191 zenon_H20d zenon_H20c zenon_H20b zenon_H20a zenon_H12d zenon_H1e4 zenon_H13f zenon_H137 zenon_H135 zenon_H1c8 zenon_H1bc zenon_H1bb zenon_Ha zenon_H145 zenon_H146 zenon_H147 zenon_H157. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1c | zenon_intro zenon_H1d7 ]. % 0.78/0.95 apply (zenon_L131_); trivial. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_Hab | zenon_intro zenon_H1b ]. % 0.78/0.95 apply (zenon_L273_); trivial. % 0.78/0.95 apply (zenon_L428_); trivial. % 0.78/0.95 (* end of lemma zenon_L429_ *) % 0.78/0.95 assert (zenon_L430_ : ((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))) -> (~(c0_1 (a1985))) -> (~(c3_1 (a1985))) -> (c1_1 (a1985)) -> (~(c2_1 (a1977))) -> (~(c3_1 (a1977))) -> (c1_1 (a1977)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/(forall X62 : zenon_U, ((ndr1_0)->((c3_1 X62)\/((~(c0_1 X62))\/(~(c1_1 X62)))))))) -> (c0_1 (a1996)) -> (c3_1 (a1996)) -> (~(c2_1 (a1996))) -> (~(c3_1 (a1981))) -> (c1_1 (a1981)) -> (c0_1 (a1981)) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> False). % 0.78/0.95 do 0 intro. intros zenon_H4a zenon_H22b zenon_H191 zenon_H192 zenon_H193 zenon_H20a zenon_H20c zenon_H20d zenon_H12d zenon_H1e4 zenon_H13f zenon_H137 zenon_H135 zenon_H1c8 zenon_H1bc zenon_H1bb zenon_H145 zenon_H146 zenon_H147 zenon_H157 zenon_H1d6. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H3f. zenon_intro zenon_H4d. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H40. zenon_intro zenon_H41. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20b | zenon_intro zenon_H3e ]. % 0.78/0.95 apply (zenon_L429_); trivial. % 0.78/0.95 apply (zenon_L17_); trivial. % 0.78/0.95 (* end of lemma zenon_L430_ *) % 0.78/0.95 assert (zenon_L431_ : ((ndr1_0)/\((~(c0_1 (a2000)))/\((~(c1_1 (a2000)))/\(~(c3_1 (a2000)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (c3_1 (a1987)) -> (c2_1 (a1987)) -> (~(c1_1 (a1987))) -> (c0_1 (a1981)) -> (c1_1 (a1981)) -> (~(c3_1 (a1981))) -> (~(c2_1 (a1996))) -> (c3_1 (a1996)) -> (c0_1 (a1996)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/(forall X62 : zenon_U, ((ndr1_0)->((c3_1 X62)\/((~(c0_1 X62))\/(~(c1_1 X62)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (c1_1 (a1977)) -> (~(c3_1 (a1977))) -> (~(c2_1 (a1977))) -> (c1_1 (a1985)) -> (~(c3_1 (a1985))) -> (~(c0_1 (a1985))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(hskp27))) -> False). % 0.78/0.95 do 0 intro. intros zenon_Hbd zenon_H50 zenon_H22b zenon_H1d6 zenon_H157 zenon_H147 zenon_H146 zenon_H145 zenon_H1bb zenon_H1bc zenon_H1c8 zenon_H135 zenon_H137 zenon_H13f zenon_H1e4 zenon_H12d zenon_H20d zenon_H20c zenon_H20a zenon_H193 zenon_H192 zenon_H191 zenon_H219. % 0.78/0.95 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Ha. zenon_intro zenon_Hbe. % 0.78/0.95 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Ha2. zenon_intro zenon_Hbf. % 0.78/0.95 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Ha3. zenon_intro zenon_Ha4. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H3c | zenon_intro zenon_H4a ]. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H21a ]. % 0.78/0.95 apply (zenon_L45_); trivial. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H20b | zenon_intro zenon_H3d ]. % 0.78/0.95 apply (zenon_L429_); trivial. % 0.78/0.95 exact (zenon_H3c zenon_H3d). % 0.78/0.95 apply (zenon_L430_); trivial. % 0.78/0.95 (* end of lemma zenon_L431_ *) % 0.78/0.95 assert (zenon_L432_ : ((ndr1_0)/\((c2_1 (a1987))/\((c3_1 (a1987))/\(~(c1_1 (a1987)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a1989))/\((~(c0_1 (a1989)))/\(~(c3_1 (a1989))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp15))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((hskp4)\/(hskp27))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> (~(c0_1 (a1985))) -> (~(c3_1 (a1985))) -> (c1_1 (a1985)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (c1_1 (a1981)) -> (c0_1 (a1981)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a2000)))/\((~(c1_1 (a2000)))/\(~(c3_1 (a2000))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))) -> (~(c3_1 (a1981))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/(forall X62 : zenon_U, ((ndr1_0)->((c3_1 X62)\/((~(c0_1 X62))\/(~(c1_1 X62)))))))) -> (c1_1 (a1977)) -> (~(c3_1 (a1977))) -> (~(c2_1 (a1977))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(hskp27))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (c2_1 (a1971)) -> (c0_1 (a1971)) -> (~(c1_1 (a1971))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/((hskp6)\/(hskp18))) -> (~(hskp6)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> (~(hskp4)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c1_1 W)\/(c3_1 W)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> False). % 0.78/0.95 do 0 intro. intros zenon_H1b3 zenon_H1a8 zenon_H1ec zenon_H127 zenon_H172 zenon_Hff zenon_H18d zenon_H52 zenon_Hc5 zenon_H51 zenon_H7 zenon_H191 zenon_H192 zenon_H193 zenon_H2d zenon_H1bc zenon_H1bb zenon_H12d zenon_H1d6 zenon_H131 zenon_Hc0 zenon_H22b zenon_H1c8 zenon_H1e4 zenon_H20d zenon_H20c zenon_H20a zenon_H219 zenon_H157 zenon_H23b zenon_H23a zenon_H239 zenon_H161 zenon_H89 zenon_H8a zenon_H74 zenon_H76 zenon_H3a zenon_H4b zenon_H50 zenon_H4f zenon_H244 zenon_H9d zenon_H187 zenon_H1ea zenon_H24f zenon_H12c. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_Ha. zenon_intro zenon_H1b4. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H146. zenon_intro zenon_H1b5. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H147. zenon_intro zenon_H145. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.78/0.95 apply (zenon_L387_); trivial. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Ha. zenon_intro zenon_H189. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H13f. zenon_intro zenon_H18a. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.78/0.95 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.95 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H87 | zenon_intro zenon_Hbd ]. % 0.78/0.95 apply (zenon_L384_); trivial. % 0.78/0.95 apply (zenon_L431_); trivial. % 0.78/0.95 apply (zenon_L410_); trivial. % 0.78/0.95 apply (zenon_L425_); trivial. % 0.78/0.95 apply (zenon_L413_); trivial. % 0.78/0.95 apply (zenon_L426_); trivial. % 0.78/0.95 (* end of lemma zenon_L432_ *) % 0.78/0.95 assert (zenon_L433_ : ((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (c0_1 (a1975)) -> (~(c2_1 (a1975))) -> (~(c1_1 (a1975))) -> (c2_1 (a1971)) -> (c0_1 (a1971)) -> (~(c1_1 (a1971))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp17)) -> False). % 0.78/0.95 do 0 intro. intros zenon_H8b zenon_H157 zenon_H232 zenon_H231 zenon_H230 zenon_H23b zenon_H23a zenon_H239 zenon_H2d zenon_H2b. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Ha. zenon_intro zenon_H8c. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H78. zenon_intro zenon_H8d. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H13e | zenon_intro zenon_H159 ]. % 0.78/0.95 apply (zenon_L317_); trivial. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H144 | zenon_intro zenon_H153 ]. % 0.78/0.95 apply (zenon_L342_); trivial. % 0.78/0.95 apply (zenon_L101_); trivial. % 0.78/0.95 (* end of lemma zenon_L433_ *) % 0.78/0.95 assert (zenon_L434_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp13)) -> (c2_1 (a1989)) -> (~(c3_1 (a1989))) -> (~(c0_1 (a1989))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> (~(hskp5)) -> (c0_1 (a1975)) -> (~(c2_1 (a1975))) -> (~(c1_1 (a1975))) -> (ndr1_0) -> (~(c1_1 (a1971))) -> (c0_1 (a1971)) -> (c2_1 (a1971)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> False). % 0.78/0.95 do 0 intro. intros zenon_Hc5 zenon_H127 zenon_H15 zenon_H11c zenon_H11b zenon_H11a zenon_H18b zenon_H9b zenon_H232 zenon_H231 zenon_H230 zenon_Ha zenon_H239 zenon_H23a zenon_H23b zenon_H2d zenon_H157 zenon_H89. % 0.78/0.95 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H72 | zenon_intro zenon_H8b ]. % 0.78/0.95 apply (zenon_L327_); trivial. % 0.78/0.95 apply (zenon_L433_); trivial. % 0.78/0.95 apply (zenon_L77_); trivial. % 0.78/0.95 (* end of lemma zenon_L434_ *) % 0.78/0.95 assert (zenon_L435_ : (forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64)))))) -> (ndr1_0) -> (c0_1 (a2005)) -> (forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))) -> (c2_1 (a2005)) -> (c3_1 (a2005)) -> False). % 0.78/0.95 do 0 intro. intros zenon_Hdb zenon_Ha zenon_H78 zenon_H153 zenon_H7b zenon_H7a. % 0.78/0.95 generalize (zenon_Hdb (a2005)). zenon_intro zenon_H251. % 0.78/0.95 apply (zenon_imply_s _ _ zenon_H251); [ zenon_intro zenon_H9 | zenon_intro zenon_H252 ]. % 0.78/0.95 exact (zenon_H9 zenon_Ha). % 0.78/0.95 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H7f | zenon_intro zenon_H253 ]. % 0.78/0.95 exact (zenon_H7f zenon_H78). % 0.78/0.95 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H81 | zenon_intro zenon_H86 ]. % 0.78/0.95 apply (zenon_L99_); trivial. % 0.78/0.95 exact (zenon_H86 zenon_H7a). % 0.78/0.95 (* end of lemma zenon_L435_ *) % 0.78/0.95 assert (zenon_L436_ : ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp10))) -> (c2_1 (a1991)) -> (c0_1 (a1991)) -> (~(c3_1 (a1991))) -> (c3_1 (a2005)) -> (c2_1 (a2005)) -> (forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))) -> (c0_1 (a2005)) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.78/0.95 do 0 intro. intros zenon_He5 zenon_Hf1 zenon_Hf0 zenon_Hef zenon_H7a zenon_H7b zenon_H153 zenon_H78 zenon_Ha zenon_H6e. % 0.78/0.95 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He6 ]. % 0.78/0.95 apply (zenon_L65_); trivial. % 0.78/0.95 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H6f ]. % 0.78/0.95 apply (zenon_L435_); trivial. % 0.78/0.95 exact (zenon_H6e zenon_H6f). % 0.78/0.95 (* end of lemma zenon_L436_ *) % 0.78/0.95 assert (zenon_L437_ : ((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (c0_1 (a1975)) -> (~(c2_1 (a1975))) -> (~(c1_1 (a1975))) -> (c2_1 (a1971)) -> (c0_1 (a1971)) -> (~(c1_1 (a1971))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp10))) -> (c2_1 (a1991)) -> (c0_1 (a1991)) -> (~(c3_1 (a1991))) -> (~(hskp10)) -> False). % 0.78/0.95 do 0 intro. intros zenon_H8b zenon_H157 zenon_H232 zenon_H231 zenon_H230 zenon_H23b zenon_H23a zenon_H239 zenon_He5 zenon_Hf1 zenon_Hf0 zenon_Hef zenon_H6e. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Ha. zenon_intro zenon_H8c. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H78. zenon_intro zenon_H8d. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H13e | zenon_intro zenon_H159 ]. % 0.78/0.95 apply (zenon_L317_); trivial. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H144 | zenon_intro zenon_H153 ]. % 0.78/0.95 apply (zenon_L342_); trivial. % 0.78/0.95 apply (zenon_L436_); trivial. % 0.78/0.95 (* end of lemma zenon_L437_ *) % 0.78/0.95 assert (zenon_L438_ : ((ndr1_0)/\((c2_1 (a1987))/\((c3_1 (a1987))/\(~(c1_1 (a1987)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (c0_1 (a1975)) -> (~(c2_1 (a1975))) -> (~(c1_1 (a1975))) -> (c2_1 (a1971)) -> (c0_1 (a1971)) -> (~(c1_1 (a1971))) -> False). % 0.78/0.95 do 0 intro. intros zenon_H1b3 zenon_H157 zenon_H232 zenon_H231 zenon_H230 zenon_H23b zenon_H23a zenon_H239. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_Ha. zenon_intro zenon_H1b4. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H146. zenon_intro zenon_H1b5. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H147. zenon_intro zenon_H145. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H13e | zenon_intro zenon_H159 ]. % 0.78/0.95 apply (zenon_L317_); trivial. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H144 | zenon_intro zenon_H153 ]. % 0.78/0.95 apply (zenon_L342_); trivial. % 0.78/0.95 apply (zenon_L90_); trivial. % 0.78/0.95 (* end of lemma zenon_L438_ *) % 0.78/0.95 assert (zenon_L439_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a1987))/\((c3_1 (a1987))/\(~(c1_1 (a1987))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/((hskp10)\/(hskp11))) -> (c2_1 (a1971)) -> (c0_1 (a1971)) -> (~(c1_1 (a1971))) -> (ndr1_0) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> (~(hskp5)) -> (c0_1 (a1975)) -> (~(c2_1 (a1975))) -> (~(c1_1 (a1975))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp10))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a1989))/\((~(c0_1 (a1989)))/\(~(c3_1 (a1989))))))) -> False). % 0.78/0.95 do 0 intro. intros zenon_H1b7 zenon_H242 zenon_H23b zenon_H23a zenon_H239 zenon_Ha zenon_Hc5 zenon_H127 zenon_H18b zenon_H9b zenon_H232 zenon_H231 zenon_H230 zenon_H2d zenon_H157 zenon_H89 zenon_He5 zenon_Hff zenon_H1a8. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H6e | zenon_intro zenon_H1b3 ]. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.95 apply (zenon_L343_); trivial. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H11c. zenon_intro zenon_H190. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H11a. zenon_intro zenon_H11b. % 0.78/0.95 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.95 apply (zenon_L434_); trivial. % 0.78/0.95 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Ha. zenon_intro zenon_Hfd. % 0.78/0.95 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hf0. zenon_intro zenon_Hfe. % 0.78/0.95 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hf1. zenon_intro zenon_Hef. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H72 | zenon_intro zenon_H8b ]. % 0.78/0.95 apply (zenon_L327_); trivial. % 0.78/0.95 apply (zenon_L437_); trivial. % 0.78/0.95 apply (zenon_L438_); trivial. % 0.78/0.95 (* end of lemma zenon_L439_ *) % 0.78/0.95 assert (zenon_L440_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (~(hskp17)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (c2_1 (a1971)) -> (c0_1 (a1971)) -> (~(c1_1 (a1971))) -> (c0_1 (a1975)) -> (~(c2_1 (a1975))) -> (~(c1_1 (a1975))) -> (~(hskp27)) -> (~(hskp6)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> False). % 0.78/0.95 do 0 intro. intros zenon_H89 zenon_H157 zenon_H2b zenon_H2d zenon_H23b zenon_H23a zenon_H239 zenon_H232 zenon_H231 zenon_H230 zenon_H3c zenon_H74 zenon_H76. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H72 | zenon_intro zenon_H8b ]. % 0.78/0.95 apply (zenon_L32_); trivial. % 0.78/0.95 apply (zenon_L433_); trivial. % 0.78/0.95 (* end of lemma zenon_L440_ *) % 0.78/0.95 assert (zenon_L441_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a1987))/\((c3_1 (a1987))/\(~(c1_1 (a1987))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (c0_1 (a1975)) -> (~(c2_1 (a1975))) -> (~(c1_1 (a1975))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/((hskp10)\/(hskp11))) -> (c2_1 (a1971)) -> (c0_1 (a1971)) -> (~(c1_1 (a1971))) -> (ndr1_0) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp12)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(c0_1 (a1983))) -> (~(c1_1 (a1983))) -> (c3_1 (a1983)) -> (~(hskp6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((hskp29)\/(hskp6))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a1977))) -> (~(c3_1 (a1977))) -> (c1_1 (a1977)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp21))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((hskp23)\/(hskp6))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a2009))/\((~(c1_1 (a2009)))/\(~(c3_1 (a2009))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a1989))/\((~(c0_1 (a1989)))/\(~(c3_1 (a1989))))))) -> False). % 0.78/0.95 do 0 intro. intros zenon_H1b7 zenon_H157 zenon_H232 zenon_H231 zenon_H230 zenon_H242 zenon_H23b zenon_H23a zenon_H239 zenon_Ha zenon_Hff zenon_Hfa zenon_Hf8 zenon_H186 zenon_H2d zenon_H19b zenon_H19c zenon_H19d zenon_H74 zenon_H1a4 zenon_H127 zenon_Hc5 zenon_H16d zenon_H65 zenon_H20a zenon_H20c zenon_H20d zenon_H1ea zenon_H156 zenon_H1d4 zenon_H1e2 zenon_H12d zenon_Hbc zenon_H1e9 zenon_H131 zenon_H12c zenon_H1a8. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H6e | zenon_intro zenon_H1b3 ]. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.95 apply (zenon_L343_); trivial. % 0.78/0.95 apply (zenon_L307_); trivial. % 0.78/0.95 apply (zenon_L438_); trivial. % 0.78/0.95 (* end of lemma zenon_L441_ *) % 0.78/0.95 assert (zenon_L442_ : ((ndr1_0)/\((c2_1 (a1989))/\((~(c0_1 (a1989)))/\(~(c3_1 (a1989)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a2009))/\((~(c1_1 (a2009)))/\(~(c3_1 (a2009))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a1985)) -> (~(c3_1 (a1985))) -> (~(c0_1 (a1985))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((hskp23)\/(hskp6))) -> (~(c2_1 (a1977))) -> (~(c3_1 (a1977))) -> (c1_1 (a1977)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp21))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((hskp29)\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a1983)) -> (~(c1_1 (a1983))) -> (~(c0_1 (a1983))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> (~(hskp0)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp12)\/(hskp0))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> False). % 0.78/0.95 do 0 intro. intros zenon_H18e zenon_H12c zenon_H1e9 zenon_Hbc zenon_H1d6 zenon_H193 zenon_H192 zenon_H191 zenon_H1e2 zenon_H20a zenon_H20c zenon_H20d zenon_H1d4 zenon_Hc5 zenon_H127 zenon_H1a4 zenon_H74 zenon_H19d zenon_H19c zenon_H19b zenon_H2d zenon_H186 zenon_Hf8 zenon_Hfa zenon_Hff. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H11c. zenon_intro zenon_H190. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H11a. zenon_intro zenon_H11b. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.95 apply (zenon_L306_); trivial. % 0.78/0.95 apply (zenon_L310_); trivial. % 0.78/0.95 (* end of lemma zenon_L442_ *) % 0.78/0.95 assert (zenon_L443_ : ((ndr1_0)/\((c3_1 (a1983))/\((~(c0_1 (a1983)))/\(~(c1_1 (a1983)))))) -> ((~(hskp9))\/((ndr1_0)/\((c1_1 (a1985))/\((~(c0_1 (a1985)))/\(~(c3_1 (a1985))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a1989))/\((~(c0_1 (a1989)))/\(~(c3_1 (a1989))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a2009))/\((~(c1_1 (a2009)))/\(~(c3_1 (a2009))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((hskp23)\/(hskp6))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp21))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39)))))))) -> (c1_1 (a1977)) -> (~(c3_1 (a1977))) -> (~(c2_1 (a1977))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((hskp29)\/(hskp6))) -> (~(hskp6)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> (~(hskp0)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp12)\/(hskp0))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> (~(c1_1 (a1971))) -> (c0_1 (a1971)) -> (c2_1 (a1971)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/((hskp10)\/(hskp11))) -> (~(c1_1 (a1975))) -> (~(c2_1 (a1975))) -> (c0_1 (a1975)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a1987))/\((c3_1 (a1987))/\(~(c1_1 (a1987))))))) -> False). % 0.78/0.95 do 0 intro. intros zenon_H1ee zenon_H1b6 zenon_H1d6 zenon_H1a8 zenon_H12c zenon_H131 zenon_H1e9 zenon_Hbc zenon_H12d zenon_H1e2 zenon_H1d4 zenon_H156 zenon_H1ea zenon_H20d zenon_H20c zenon_H20a zenon_H16d zenon_Hc5 zenon_H127 zenon_H1a4 zenon_H74 zenon_H2d zenon_H186 zenon_Hf8 zenon_Hfa zenon_Hff zenon_H239 zenon_H23a zenon_H23b zenon_H242 zenon_H230 zenon_H231 zenon_H232 zenon_H157 zenon_H1b7. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Ha. zenon_intro zenon_H1ef. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H19d. zenon_intro zenon_H1f0. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H19b. zenon_intro zenon_H19c. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H65 | zenon_intro zenon_H1b8 ]. % 0.78/0.95 apply (zenon_L441_); trivial. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha. zenon_intro zenon_H1b9. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H193. zenon_intro zenon_H1ba. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H191. zenon_intro zenon_H192. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H6e | zenon_intro zenon_H1b3 ]. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.95 apply (zenon_L343_); trivial. % 0.78/0.95 apply (zenon_L442_); trivial. % 0.78/0.95 apply (zenon_L438_); trivial. % 0.78/0.95 (* end of lemma zenon_L443_ *) % 0.78/0.95 assert (zenon_L444_ : (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13))))) -> (ndr1_0) -> (~(c1_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c3_1 (a1969))) -> False). % 0.78/0.95 do 0 intro. intros zenon_H254 zenon_Ha zenon_H255 zenon_H256 zenon_H257. % 0.78/0.95 generalize (zenon_H254 (a1969)). zenon_intro zenon_H258. % 0.78/0.95 apply (zenon_imply_s _ _ zenon_H258); [ zenon_intro zenon_H9 | zenon_intro zenon_H259 ]. % 0.78/0.95 exact (zenon_H9 zenon_Ha). % 0.78/0.95 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H25b | zenon_intro zenon_H25a ]. % 0.78/0.95 exact (zenon_H255 zenon_H25b). % 0.78/0.95 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H25d | zenon_intro zenon_H25c ]. % 0.78/0.95 exact (zenon_H256 zenon_H25d). % 0.78/0.95 exact (zenon_H257 zenon_H25c). % 0.78/0.95 (* end of lemma zenon_L444_ *) % 0.78/0.95 assert (zenon_L445_ : ((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12))) -> (~(c3_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c1_1 (a1969))) -> (~(hskp12)) -> False). % 0.78/0.95 do 0 intro. intros zenon_Hb7 zenon_H25e zenon_H257 zenon_H256 zenon_H255 zenon_H38. % 0.78/0.95 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Ha. zenon_intro zenon_Hb9. % 0.78/0.95 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Had. zenon_intro zenon_Hba. % 0.78/0.95 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Hae. zenon_intro zenon_Hac. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H254 | zenon_intro zenon_H25f ]. % 0.78/0.95 apply (zenon_L444_); trivial. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_Hab | zenon_intro zenon_H39 ]. % 0.78/0.95 apply (zenon_L46_); trivial. % 0.78/0.95 exact (zenon_H38 zenon_H39). % 0.78/0.95 (* end of lemma zenon_L445_ *) % 0.78/0.95 assert (zenon_L446_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c1_1 (a1969))) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> False). % 0.78/0.95 do 0 intro. intros zenon_Hbc zenon_H25e zenon_H38 zenon_H257 zenon_H256 zenon_H255 zenon_H9b zenon_H9d zenon_H9f. % 0.78/0.95 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb7 ]. % 0.78/0.95 apply (zenon_L44_); trivial. % 0.78/0.95 apply (zenon_L445_); trivial. % 0.78/0.95 (* end of lemma zenon_L446_ *) % 0.78/0.95 assert (zenon_L447_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((hskp1)\/(hskp10))) -> (~(hskp10)) -> (~(hskp1)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> (~(c1_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c3_1 (a1969))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> False). % 0.78/0.95 do 0 intro. intros zenon_H12c zenon_H117 zenon_H6e zenon_Hb5 zenon_H9f zenon_H9d zenon_H9b zenon_H255 zenon_H256 zenon_H257 zenon_H25e zenon_Hbc. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.95 apply (zenon_L446_); trivial. % 0.78/0.95 apply (zenon_L80_); trivial. % 0.78/0.95 (* end of lemma zenon_L447_ *) % 0.78/0.95 assert (zenon_L448_ : (~(hskp2)) -> (hskp2) -> False). % 0.78/0.95 do 0 intro. intros zenon_H260 zenon_H261. % 0.78/0.95 exact (zenon_H260 zenon_H261). % 0.78/0.95 (* end of lemma zenon_L448_ *) % 0.78/0.95 assert (zenon_L449_ : ((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp2))) -> (~(c3_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c1_1 (a1969))) -> (~(hskp2)) -> False). % 0.78/0.95 do 0 intro. intros zenon_H15c zenon_H262 zenon_H257 zenon_H256 zenon_H255 zenon_H260. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_Ha. zenon_intro zenon_H15d. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H106. zenon_intro zenon_H15e. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H2f | zenon_intro zenon_H263 ]. % 0.78/0.95 apply (zenon_L70_); trivial. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H254 | zenon_intro zenon_H261 ]. % 0.78/0.95 apply (zenon_L444_); trivial. % 0.78/0.95 exact (zenon_H260 zenon_H261). % 0.78/0.95 (* end of lemma zenon_L449_ *) % 0.78/0.95 assert (zenon_L450_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c1_1 (a1969))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> (~(hskp11)) -> (~(hskp4)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> (~(hskp6)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(c2_1 (a1990))) -> (c3_1 (a1990)) -> (~(c1_1 (a1990))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (~(hskp9)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> (~(hskp14)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> False). % 0.78/0.95 do 0 intro. intros zenon_H18d zenon_H262 zenon_H260 zenon_H257 zenon_H256 zenon_H255 zenon_H131 zenon_Hbc zenon_H12d zenon_H9b zenon_H9d zenon_H9f zenon_H7 zenon_H50 zenon_H4b zenon_H48 zenon_H3a zenon_H76 zenon_H74 zenon_H156 zenon_H10f zenon_H110 zenon_H10e zenon_H161 zenon_H145 zenon_H146 zenon_H147 zenon_H2d zenon_H157 zenon_H65 zenon_H16d zenon_H89 zenon_H15a zenon_H132 zenon_Hb5 zenon_H172 zenon_H6c zenon_H174 zenon_H4f zenon_H186 zenon_H178 zenon_Hc5 zenon_H187. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.95 apply (zenon_L117_); trivial. % 0.78/0.95 apply (zenon_L449_); trivial. % 0.78/0.95 (* end of lemma zenon_L450_ *) % 0.78/0.95 assert (zenon_L451_ : ((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> (c2_1 (a1989)) -> (~(c3_1 (a1989))) -> (~(c0_1 (a1989))) -> (~(hskp4)) -> (~(hskp1)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> (~(hskp14)) -> False). % 0.78/0.95 do 0 intro. intros zenon_H8b zenon_H174 zenon_H11c zenon_H11b zenon_H11a zenon_H3a zenon_Hb5 zenon_H132 zenon_H6c. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Ha. zenon_intro zenon_H8c. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H78. zenon_intro zenon_H8d. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H119 | zenon_intro zenon_H175 ]. % 0.78/0.95 apply (zenon_L75_); trivial. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H79 | zenon_intro zenon_H6d ]. % 0.78/0.95 apply (zenon_L91_); trivial. % 0.78/0.95 exact (zenon_H6c zenon_H6d). % 0.78/0.95 (* end of lemma zenon_L451_ *) % 0.78/0.95 assert (zenon_L452_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> (~(hskp14)) -> (~(hskp1)) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> (c2_1 (a1989)) -> (~(c3_1 (a1989))) -> (~(c0_1 (a1989))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (~(hskp20)) -> (c0_1 (a1996)) -> (c3_1 (a1996)) -> (~(c2_1 (a1996))) -> (ndr1_0) -> (~(hskp5)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> False). % 0.78/0.95 do 0 intro. intros zenon_H89 zenon_H174 zenon_H6c zenon_Hb5 zenon_H3a zenon_H132 zenon_H11c zenon_H11b zenon_H11a zenon_H161 zenon_H17 zenon_H13f zenon_H137 zenon_H135 zenon_Ha zenon_H9b zenon_H18b. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H72 | zenon_intro zenon_H8b ]. % 0.78/0.95 apply (zenon_L118_); trivial. % 0.78/0.95 apply (zenon_L451_); trivial. % 0.78/0.95 (* end of lemma zenon_L452_ *) % 0.78/0.95 assert (zenon_L453_ : ((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> (~(hskp14)) -> (~(hskp1)) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> (c2_1 (a1989)) -> (~(c3_1 (a1989))) -> (~(c0_1 (a1989))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (c0_1 (a1996)) -> (c3_1 (a1996)) -> (~(c2_1 (a1996))) -> (~(hskp5)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(c2_1 (a1990))) -> (c3_1 (a1990)) -> (~(c1_1 (a1990))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> False). % 0.78/0.95 do 0 intro. intros zenon_Hc1 zenon_H131 zenon_Hbc zenon_H12d zenon_H9d zenon_H9f zenon_H89 zenon_H174 zenon_H6c zenon_Hb5 zenon_H3a zenon_H132 zenon_H11c zenon_H11b zenon_H11a zenon_H161 zenon_H13f zenon_H137 zenon_H135 zenon_H9b zenon_H18b zenon_H156 zenon_H10f zenon_H110 zenon_H10e zenon_H15a zenon_H4f. % 0.78/0.95 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2. % 0.78/0.95 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc3. % 0.78/0.95 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H3 | zenon_intro zenon_H12e ]. % 0.78/0.95 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H17 | zenon_intro zenon_H53 ]. % 0.78/0.95 apply (zenon_L452_); trivial. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_Ha. zenon_intro zenon_H54. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H1e. zenon_intro zenon_H55. % 0.78/0.95 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H1f. zenon_intro zenon_H1d. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H59 | zenon_intro zenon_H15b ]. % 0.78/0.96 apply (zenon_L111_); trivial. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1c | zenon_intro zenon_H134 ]. % 0.78/0.96 apply (zenon_L86_); trivial. % 0.78/0.96 apply (zenon_L221_); trivial. % 0.78/0.96 apply (zenon_L83_); trivial. % 0.78/0.96 (* end of lemma zenon_L453_ *) % 0.78/0.96 assert (zenon_L454_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c1_1 (a1969))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> (~(c1_1 (a1990))) -> (c3_1 (a1990)) -> (~(c2_1 (a1990))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (~(c0_1 (a1989))) -> (~(c3_1 (a1989))) -> (c2_1 (a1989)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp14)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> (~(hskp1)) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> False). % 0.78/0.96 do 0 intro. intros zenon_H18d zenon_H262 zenon_H260 zenon_H257 zenon_H256 zenon_H255 zenon_H131 zenon_Hbc zenon_H12d zenon_H9b zenon_H9d zenon_H9f zenon_H7 zenon_H4f zenon_H15a zenon_H172 zenon_H3a zenon_H10e zenon_H110 zenon_H10f zenon_H18b zenon_H161 zenon_H11a zenon_H11b zenon_H11c zenon_H2d zenon_H6c zenon_H174 zenon_H89 zenon_H156 zenon_H132 zenon_Hb5 zenon_Hc5 zenon_H187. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.78/0.96 apply (zenon_L84_); trivial. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Ha. zenon_intro zenon_H189. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H13f. zenon_intro zenon_H18a. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.78/0.96 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.96 apply (zenon_L225_); trivial. % 0.78/0.96 apply (zenon_L453_); trivial. % 0.78/0.96 apply (zenon_L449_); trivial. % 0.78/0.96 (* end of lemma zenon_L454_ *) % 0.78/0.96 assert (zenon_L455_ : ((ndr1_0)/\((c1_1 (a1992))/\((~(c0_1 (a1992)))/\(~(c2_1 (a1992)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c1_1 (a1969))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> (~(hskp4)) -> (~(hskp1)) -> (c1_1 (a1985)) -> (~(c3_1 (a1985))) -> (~(c0_1 (a1985))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (c3_1 (a1987)) -> (c2_1 (a1987)) -> (~(c1_1 (a1987))) -> (~(c1_1 (a1990))) -> (c3_1 (a1990)) -> (~(c2_1 (a1990))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> (~(hskp7)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/(hskp7))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> False). % 0.78/0.96 do 0 intro. intros zenon_H101 zenon_H18d zenon_H262 zenon_H260 zenon_H257 zenon_H256 zenon_H255 zenon_H131 zenon_Hbc zenon_H12d zenon_H9b zenon_H9d zenon_H9f zenon_H7 zenon_H89 zenon_H15a zenon_H132 zenon_H3a zenon_Hb5 zenon_H193 zenon_H192 zenon_H191 zenon_H157 zenon_H2d zenon_H147 zenon_H146 zenon_H145 zenon_H10e zenon_H110 zenon_H10f zenon_H156 zenon_H161 zenon_H18b zenon_H172 zenon_He7 zenon_Hea zenon_H4f zenon_H186 zenon_H178 zenon_Hc5 zenon_H187. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Ha. zenon_intro zenon_H102. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc9. zenon_intro zenon_H103. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hc7. zenon_intro zenon_Hc8. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.96 apply (zenon_L144_); trivial. % 0.78/0.96 apply (zenon_L449_); trivial. % 0.78/0.96 (* end of lemma zenon_L455_ *) % 0.78/0.96 assert (zenon_L456_ : ((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9)))))))) -> (~(c3_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c1_1 (a1969))) -> (c2_1 (a2009)) -> (~(c3_1 (a2009))) -> (~(c1_1 (a2009))) -> False). % 0.78/0.96 do 0 intro. intros zenon_Hb7 zenon_H264 zenon_H257 zenon_H256 zenon_H255 zenon_H1db zenon_H1da zenon_H1d9. % 0.78/0.96 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Ha. zenon_intro zenon_Hb9. % 0.78/0.96 apply (zenon_and_s _ _ zenon_Hb9). zenon_intro zenon_Had. zenon_intro zenon_Hba. % 0.78/0.96 apply (zenon_and_s _ _ zenon_Hba). zenon_intro zenon_Hae. zenon_intro zenon_Hac. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H254 | zenon_intro zenon_H265 ]. % 0.78/0.96 apply (zenon_L444_); trivial. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H1d8 | zenon_intro zenon_Hab ]. % 0.78/0.96 apply (zenon_L175_); trivial. % 0.78/0.96 apply (zenon_L46_); trivial. % 0.78/0.96 (* end of lemma zenon_L456_ *) % 0.78/0.96 assert (zenon_L457_ : ((ndr1_0)/\((c2_1 (a2009))/\((~(c1_1 (a2009)))/\(~(c3_1 (a2009)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9)))))))) -> (~(c3_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c1_1 (a1969))) -> (~(hskp6)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((hskp23)\/(hskp6))) -> False). % 0.78/0.96 do 0 intro. intros zenon_H1e6 zenon_Hbc zenon_H264 zenon_H257 zenon_H256 zenon_H255 zenon_H74 zenon_H1e2. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_Ha. zenon_intro zenon_H1e7. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_H1db. zenon_intro zenon_H1e8. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H1d9. zenon_intro zenon_H1da. % 0.78/0.96 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb7 ]. % 0.78/0.96 apply (zenon_L176_); trivial. % 0.78/0.96 apply (zenon_L456_); trivial. % 0.78/0.96 (* end of lemma zenon_L457_ *) % 0.78/0.96 assert (zenon_L458_ : ((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a2009))/\((~(c1_1 (a2009)))/\(~(c3_1 (a2009))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9)))))))) -> (~(c3_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c1_1 (a1969))) -> (~(hskp6)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((hskp23)\/(hskp6))) -> ((hskp23)\/((hskp5)\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp17)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp21))) -> (~(c3_1 (a1981))) -> (c1_1 (a1981)) -> (c0_1 (a1981)) -> (c3_1 (a1990)) -> (~(c2_1 (a1990))) -> (~(c1_1 (a1990))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> False). % 0.78/0.96 do 0 intro. intros zenon_H53 zenon_H1e9 zenon_H264 zenon_H257 zenon_H256 zenon_H255 zenon_H74 zenon_H1e2 zenon_H9f zenon_H9d zenon_H9b zenon_H2d zenon_H2b zenon_H1d4 zenon_H1c8 zenon_H1bc zenon_H1bb zenon_H110 zenon_H10f zenon_H10e zenon_H1d6 zenon_Hbc. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_Ha. zenon_intro zenon_H54. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H1e. zenon_intro zenon_H55. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H1f. zenon_intro zenon_H1d. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H1e6 ]. % 0.78/0.96 apply (zenon_L174_); trivial. % 0.78/0.96 apply (zenon_L457_); trivial. % 0.78/0.96 (* end of lemma zenon_L458_ *) % 0.78/0.96 assert (zenon_L459_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c1_1 (a1969))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp15))) -> (c0_1 (a1981)) -> (c1_1 (a1981)) -> (~(c3_1 (a1981))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (c2_1 (a1989)) -> (~(c3_1 (a1989))) -> (~(c0_1 (a1989))) -> (ndr1_0) -> (~(hskp13)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> False). % 0.78/0.96 do 0 intro. intros zenon_H18d zenon_H262 zenon_H260 zenon_H257 zenon_H256 zenon_H255 zenon_H1ec zenon_H1bb zenon_H1bc zenon_H1c8 zenon_H2d zenon_H11c zenon_H11b zenon_H11a zenon_Ha zenon_H15 zenon_H127 zenon_Hc5. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.96 apply (zenon_L189_); trivial. % 0.78/0.96 apply (zenon_L449_); trivial. % 0.78/0.96 (* end of lemma zenon_L459_ *) % 0.78/0.96 assert (zenon_L460_ : ((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39)))))))) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(c0_1 (a1989))) -> (~(c3_1 (a1989))) -> (c2_1 (a1989)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(c3_1 (a1981))) -> (c1_1 (a1981)) -> (c0_1 (a1981)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp15))) -> (~(c1_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c3_1 (a1969))) -> (~(hskp2)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp2))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> False). % 0.78/0.96 do 0 intro. intros zenon_H129 zenon_Hff zenon_H131 zenon_Hbc zenon_H12d zenon_H9b zenon_H9d zenon_H9f zenon_H156 zenon_H132 zenon_Hb5 zenon_H1ea zenon_H3a zenon_H172 zenon_Hc5 zenon_H127 zenon_H11a zenon_H11b zenon_H11c zenon_H2d zenon_H1c8 zenon_H1bc zenon_H1bb zenon_H1ec zenon_H255 zenon_H256 zenon_H257 zenon_H260 zenon_H262 zenon_H18d. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Ha. zenon_intro zenon_H12a. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H110. zenon_intro zenon_H12b. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.78/0.96 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.96 apply (zenon_L459_); trivial. % 0.78/0.96 apply (zenon_L195_); trivial. % 0.78/0.96 (* end of lemma zenon_L460_ *) % 0.78/0.96 assert (zenon_L461_ : ((ndr1_0)/\((c2_1 (a1987))/\((c3_1 (a1987))/\(~(c1_1 (a1987)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a1989))/\((~(c0_1 (a1989)))/\(~(c3_1 (a1989))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp15))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12))) -> (~(c3_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c1_1 (a1969))) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a2009))/\((~(c1_1 (a2009)))/\(~(c3_1 (a2009))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((hskp23)\/(hskp6))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp21))) -> (~(c3_1 (a1981))) -> (c1_1 (a1981)) -> (c0_1 (a1981)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp9))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(hskp6)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> (~(hskp4)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> (~(hskp2)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp2))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> False). % 0.78/0.96 do 0 intro. intros zenon_H1b3 zenon_H1a8 zenon_Hff zenon_H172 zenon_H127 zenon_H1ec zenon_Hbc zenon_H25e zenon_H257 zenon_H256 zenon_H255 zenon_H9b zenon_H9d zenon_H9f zenon_H187 zenon_Hc5 zenon_H132 zenon_Hb5 zenon_H1ea zenon_H4f zenon_H1e9 zenon_H264 zenon_H1e2 zenon_H1d4 zenon_H1c8 zenon_H1bc zenon_H1bb zenon_H1d6 zenon_H89 zenon_H16d zenon_H65 zenon_H157 zenon_H2d zenon_H161 zenon_H156 zenon_H74 zenon_H76 zenon_H3a zenon_H4b zenon_H50 zenon_H7 zenon_H12d zenon_H131 zenon_H260 zenon_H262 zenon_H18d zenon_H12c. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_Ha. zenon_intro zenon_H1b4. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H146. zenon_intro zenon_H1b5. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H147. zenon_intro zenon_H145. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.96 apply (zenon_L446_); trivial. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Ha. zenon_intro zenon_H12a. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H110. zenon_intro zenon_H12b. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.78/0.96 apply (zenon_L84_); trivial. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Ha. zenon_intro zenon_H189. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H13f. zenon_intro zenon_H18a. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.78/0.96 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H3 | zenon_intro zenon_H12e ]. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H17 | zenon_intro zenon_H53 ]. % 0.78/0.96 apply (zenon_L106_); trivial. % 0.78/0.96 apply (zenon_L458_); trivial. % 0.78/0.96 apply (zenon_L83_); trivial. % 0.78/0.96 apply (zenon_L185_); trivial. % 0.78/0.96 apply (zenon_L449_); trivial. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H11c. zenon_intro zenon_H190. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H11a. zenon_intro zenon_H11b. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.96 apply (zenon_L446_); trivial. % 0.78/0.96 apply (zenon_L460_); trivial. % 0.78/0.96 (* end of lemma zenon_L461_ *) % 0.78/0.96 assert (zenon_L462_ : ((ndr1_0)/\((c1_1 (a1985))/\((~(c0_1 (a1985)))/\(~(c3_1 (a1985)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a2009))/\((~(c1_1 (a2009)))/\(~(c3_1 (a2009))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9)))))))) -> (~(hskp6)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((hskp23)\/(hskp6))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp21))) -> (~(c3_1 (a1981))) -> (c1_1 (a1981)) -> (c0_1 (a1981)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((hskp23)\/((hskp5)\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> (~(c1_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c3_1 (a1969))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> False). % 0.78/0.96 do 0 intro. intros zenon_H1b8 zenon_H12c zenon_H1e9 zenon_H264 zenon_H74 zenon_H1e2 zenon_H1d4 zenon_H1c8 zenon_H1bc zenon_H1bb zenon_H1d6 zenon_H9f zenon_H9d zenon_H9b zenon_H255 zenon_H256 zenon_H257 zenon_H25e zenon_Hbc. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha. zenon_intro zenon_H1b9. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H193. zenon_intro zenon_H1ba. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H191. zenon_intro zenon_H192. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.96 apply (zenon_L446_); trivial. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Ha. zenon_intro zenon_H12a. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H110. zenon_intro zenon_H12b. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H1e6 ]. % 0.78/0.96 apply (zenon_L200_); trivial. % 0.78/0.96 apply (zenon_L457_); trivial. % 0.78/0.96 (* end of lemma zenon_L462_ *) % 0.78/0.96 assert (zenon_L463_ : ((ndr1_0)/\((c3_1 (a1983))/\((~(c0_1 (a1983)))/\(~(c1_1 (a1983)))))) -> ((~(hskp9))\/((ndr1_0)/\((c1_1 (a1985))/\((~(c0_1 (a1985)))/\(~(c3_1 (a1985))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39)))))))) -> (c0_1 (a1981)) -> (c1_1 (a1981)) -> (~(c3_1 (a1981))) -> (~(hskp1)) -> (~(hskp4)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((hskp29)\/(hskp6))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp9)\/(hskp11))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((hskp13)\/(hskp20))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a1989))/\((~(c0_1 (a1989)))/\(~(c3_1 (a1989))))))) -> False). % 0.78/0.96 do 0 intro. intros zenon_H1ee zenon_H1b6 zenon_H12c zenon_H1ea zenon_H1bb zenon_H1bc zenon_H1c8 zenon_Hb5 zenon_H3a zenon_H132 zenon_H156 zenon_H131 zenon_H51 zenon_Hff zenon_H186 zenon_H2d zenon_H74 zenon_H1a4 zenon_H67 zenon_H19 zenon_H127 zenon_H9b zenon_H1a6 zenon_H4f zenon_Hc5 zenon_H1a8. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Ha. zenon_intro zenon_H1ef. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H19d. zenon_intro zenon_H1f0. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H19b. zenon_intro zenon_H19c. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H65 | zenon_intro zenon_H1b8 ]. % 0.78/0.96 apply (zenon_L153_); trivial. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha. zenon_intro zenon_H1b9. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H193. zenon_intro zenon_H1ba. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H191. zenon_intro zenon_H192. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.96 apply (zenon_L154_); trivial. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Ha. zenon_intro zenon_H12a. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H110. zenon_intro zenon_H12b. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.78/0.96 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.96 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.96 apply (zenon_L148_); trivial. % 0.78/0.96 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2. % 0.78/0.96 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc3. % 0.78/0.96 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H3 | zenon_intro zenon_H12e ]. % 0.78/0.96 apply (zenon_L184_); trivial. % 0.78/0.96 apply (zenon_L239_); trivial. % 0.78/0.96 apply (zenon_L150_); trivial. % 0.78/0.96 (* end of lemma zenon_L463_ *) % 0.78/0.96 assert (zenon_L464_ : ((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp17)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> (c3_1 (a1979)) -> (~(c2_1 (a1979))) -> (~(c0_1 (a1979))) -> (~(c1_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c3_1 (a1969))) -> (~(hskp2)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp2))) -> False). % 0.78/0.96 do 0 intro. intros zenon_H12e zenon_H186 zenon_H2d zenon_H2b zenon_H178 zenon_H1f3 zenon_H1f2 zenon_H1f1 zenon_H255 zenon_H256 zenon_H257 zenon_H260 zenon_H262. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Ha. zenon_intro zenon_H12f. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_Hd. zenon_intro zenon_H130. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H176 | zenon_intro zenon_H183 ]. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H2f | zenon_intro zenon_H263 ]. % 0.78/0.96 apply (zenon_L237_); trivial. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H254 | zenon_intro zenon_H261 ]. % 0.78/0.96 apply (zenon_L444_); trivial. % 0.78/0.96 exact (zenon_H260 zenon_H261). % 0.78/0.96 apply (zenon_L147_); trivial. % 0.78/0.96 (* end of lemma zenon_L464_ *) % 0.78/0.96 assert (zenon_L465_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp17)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> (c3_1 (a1979)) -> (~(c2_1 (a1979))) -> (~(c0_1 (a1979))) -> (~(c1_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c3_1 (a1969))) -> (~(hskp2)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp2))) -> (~(hskp16)) -> (~(hskp15)) -> ((hskp16)\/((hskp19)\/(hskp15))) -> False). % 0.78/0.96 do 0 intro. intros zenon_H131 zenon_H186 zenon_H2d zenon_H2b zenon_H178 zenon_H1f3 zenon_H1f2 zenon_H1f1 zenon_H255 zenon_H256 zenon_H257 zenon_H260 zenon_H262 zenon_H1 zenon_H5 zenon_H7. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H3 | zenon_intro zenon_H12e ]. % 0.78/0.96 apply (zenon_L4_); trivial. % 0.78/0.96 apply (zenon_L464_); trivial. % 0.78/0.96 (* end of lemma zenon_L465_ *) % 0.78/0.96 assert (zenon_L466_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp13)) -> (c2_1 (a1989)) -> (~(c3_1 (a1989))) -> (~(c0_1 (a1989))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> (~(hskp15)) -> (~(hskp16)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c1_1 (a1969))) -> (~(c0_1 (a1979))) -> (~(c2_1 (a1979))) -> (c3_1 (a1979)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> False). % 0.78/0.96 do 0 intro. intros zenon_Hc5 zenon_H127 zenon_H15 zenon_H11c zenon_H11b zenon_H11a zenon_H7 zenon_H5 zenon_H1 zenon_H262 zenon_H260 zenon_H257 zenon_H256 zenon_H255 zenon_H1f1 zenon_H1f2 zenon_H1f3 zenon_H178 zenon_H2d zenon_H186 zenon_H131. % 0.78/0.96 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.96 apply (zenon_L465_); trivial. % 0.78/0.96 apply (zenon_L77_); trivial. % 0.78/0.96 (* end of lemma zenon_L466_ *) % 0.78/0.96 assert (zenon_L467_ : ((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp9))) -> (c3_1 (a1979)) -> (~(c2_1 (a1979))) -> (~(c0_1 (a1979))) -> (~(hskp9)) -> False). % 0.78/0.96 do 0 intro. intros zenon_H12e zenon_H16d zenon_H1f3 zenon_H1f2 zenon_H1f1 zenon_H65. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Ha. zenon_intro zenon_H12f. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H12f). zenon_intro zenon_Hd. zenon_intro zenon_H130. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H130). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H59 | zenon_intro zenon_H16e ]. % 0.78/0.96 apply (zenon_L209_); trivial. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_Hb | zenon_intro zenon_H66 ]. % 0.78/0.96 apply (zenon_L6_); trivial. % 0.78/0.96 exact (zenon_H65 zenon_H66). % 0.78/0.96 (* end of lemma zenon_L467_ *) % 0.78/0.96 assert (zenon_L468_ : ((ndr1_0)/\((c1_1 (a1992))/\((~(c0_1 (a1992)))/\(~(c2_1 (a1992)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp13)) -> (c2_1 (a1989)) -> (~(c3_1 (a1989))) -> (~(c0_1 (a1989))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c1_1 (a1969))) -> (~(c0_1 (a1979))) -> (~(c2_1 (a1979))) -> (c3_1 (a1979)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp9))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (c3_1 (a1987)) -> (c2_1 (a1987)) -> (~(c1_1 (a1987))) -> (~(c1_1 (a1990))) -> (c3_1 (a1990)) -> (~(c2_1 (a1990))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (~(hskp5)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> (~(hskp7)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/(hskp7))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> False). % 0.78/0.96 do 0 intro. intros zenon_H101 zenon_H18d zenon_Hc5 zenon_H127 zenon_H15 zenon_H11c zenon_H11b zenon_H11a zenon_H7 zenon_H262 zenon_H260 zenon_H257 zenon_H256 zenon_H255 zenon_H1f1 zenon_H1f2 zenon_H1f3 zenon_H178 zenon_H2d zenon_H186 zenon_H131 zenon_H89 zenon_H16d zenon_H65 zenon_H157 zenon_H147 zenon_H146 zenon_H145 zenon_H10e zenon_H110 zenon_H10f zenon_H156 zenon_H161 zenon_H9b zenon_H18b zenon_H172 zenon_H3a zenon_He7 zenon_Hea zenon_H4f zenon_H187. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Ha. zenon_intro zenon_H102. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc9. zenon_intro zenon_H103. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hc7. zenon_intro zenon_Hc8. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.78/0.96 apply (zenon_L466_); trivial. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Ha. zenon_intro zenon_H189. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H13f. zenon_intro zenon_H18a. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.78/0.96 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H3 | zenon_intro zenon_H12e ]. % 0.78/0.96 apply (zenon_L122_); trivial. % 0.78/0.96 apply (zenon_L467_); trivial. % 0.78/0.96 apply (zenon_L77_); trivial. % 0.78/0.96 apply (zenon_L449_); trivial. % 0.78/0.96 (* end of lemma zenon_L468_ *) % 0.78/0.96 assert (zenon_L469_ : ((ndr1_0)/\((c1_1 (a1985))/\((~(c0_1 (a1985)))/\(~(c3_1 (a1985)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c1_1 (a1969))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> (~(c0_1 (a1979))) -> (~(c2_1 (a1979))) -> (c3_1 (a1979)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> False). % 0.78/0.96 do 0 intro. intros zenon_H1b8 zenon_H18d zenon_H262 zenon_H260 zenon_H257 zenon_H256 zenon_H255 zenon_H131 zenon_Hbc zenon_H12d zenon_H9b zenon_H9d zenon_H9f zenon_H7 zenon_H1f1 zenon_H1f2 zenon_H1f3 zenon_H204 zenon_H15a zenon_H187. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha. zenon_intro zenon_H1b9. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H193. zenon_intro zenon_H1ba. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H191. zenon_intro zenon_H192. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.96 apply (zenon_L231_); trivial. % 0.78/0.96 apply (zenon_L449_); trivial. % 0.78/0.96 (* end of lemma zenon_L469_ *) % 0.78/0.96 assert (zenon_L470_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp13)) -> (c2_1 (a1989)) -> (~(c3_1 (a1989))) -> (~(c0_1 (a1989))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c1_1 (a1969))) -> (~(c0_1 (a1979))) -> (~(c2_1 (a1979))) -> (c3_1 (a1979)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> (c3_1 (a1983)) -> (~(c1_1 (a1983))) -> (~(c0_1 (a1983))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> (~(hskp5)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (~(hskp14)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> False). % 0.78/0.96 do 0 intro. intros zenon_H18d zenon_Hc5 zenon_H127 zenon_H15 zenon_H11c zenon_H11b zenon_H11a zenon_H7 zenon_H262 zenon_H260 zenon_H257 zenon_H256 zenon_H255 zenon_H1f1 zenon_H1f2 zenon_H1f3 zenon_H178 zenon_H2d zenon_H186 zenon_H131 zenon_H4f zenon_H1a6 zenon_H15a zenon_H19d zenon_H19c zenon_H19b zenon_H18b zenon_H9b zenon_H161 zenon_H6c zenon_H174 zenon_H89 zenon_H187. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.78/0.96 apply (zenon_L466_); trivial. % 0.78/0.96 apply (zenon_L243_); trivial. % 0.78/0.96 apply (zenon_L449_); trivial. % 0.78/0.96 (* end of lemma zenon_L470_ *) % 0.78/0.96 assert (zenon_L471_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (c3_1 (a1983)) -> (~(c1_1 (a1983))) -> (~(c0_1 (a1983))) -> (~(hskp13)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((hskp13)\/(hskp20))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> (~(hskp15)) -> (~(hskp16)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c1_1 (a1969))) -> (~(c0_1 (a1979))) -> (~(c2_1 (a1979))) -> (c3_1 (a1979)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> False). % 0.78/0.96 do 0 intro. intros zenon_Hc5 zenon_H4f zenon_H1a6 zenon_H9b zenon_H127 zenon_H19d zenon_H19c zenon_H19b zenon_H15 zenon_H19 zenon_H7 zenon_H5 zenon_H1 zenon_H262 zenon_H260 zenon_H257 zenon_H256 zenon_H255 zenon_H1f1 zenon_H1f2 zenon_H1f3 zenon_H178 zenon_H2d zenon_H186 zenon_H131. % 0.78/0.96 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.96 apply (zenon_L465_); trivial. % 0.78/0.96 apply (zenon_L240_); trivial. % 0.78/0.96 (* end of lemma zenon_L471_ *) % 0.78/0.96 assert (zenon_L472_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> (~(hskp11)) -> (~(hskp4)) -> (~(c0_1 (a1983))) -> (~(c1_1 (a1983))) -> (c3_1 (a1983)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp27))) -> (c3_1 (a1987)) -> (c2_1 (a1987)) -> (~(c1_1 (a1987))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> (~(hskp15)) -> (~(hskp16)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c1_1 (a1969))) -> (~(c0_1 (a1979))) -> (~(c2_1 (a1979))) -> (c3_1 (a1979)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> False). % 0.78/0.96 do 0 intro. intros zenon_Hc5 zenon_H50 zenon_H4b zenon_H48 zenon_H3a zenon_H19b zenon_H19c zenon_H19d zenon_H1b1 zenon_H147 zenon_H146 zenon_H145 zenon_H9b zenon_H1a6 zenon_H7 zenon_H5 zenon_H1 zenon_H262 zenon_H260 zenon_H257 zenon_H256 zenon_H255 zenon_H1f1 zenon_H1f2 zenon_H1f3 zenon_H178 zenon_H2d zenon_H186 zenon_H131. % 0.78/0.96 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.96 apply (zenon_L465_); trivial. % 0.78/0.96 apply (zenon_L254_); trivial. % 0.78/0.96 (* end of lemma zenon_L472_ *) % 0.78/0.96 assert (zenon_L473_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> (~(hskp11)) -> (~(hskp4)) -> (~(c0_1 (a1983))) -> (~(c1_1 (a1983))) -> (c3_1 (a1983)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp27))) -> (c3_1 (a1987)) -> (c2_1 (a1987)) -> (~(c1_1 (a1987))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c1_1 (a1969))) -> (~(c0_1 (a1979))) -> (~(c2_1 (a1979))) -> (c3_1 (a1979)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> (~(hskp1)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (c1_1 (a1985)) -> (~(c3_1 (a1985))) -> (~(c0_1 (a1985))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> (~(hskp14)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> False). % 0.78/0.96 do 0 intro. intros zenon_H18d zenon_Hc5 zenon_H50 zenon_H4b zenon_H48 zenon_H3a zenon_H19b zenon_H19c zenon_H19d zenon_H1b1 zenon_H147 zenon_H146 zenon_H145 zenon_H9b zenon_H1a6 zenon_H7 zenon_H262 zenon_H260 zenon_H257 zenon_H256 zenon_H255 zenon_H1f1 zenon_H1f2 zenon_H1f3 zenon_H178 zenon_H2d zenon_H186 zenon_H131 zenon_H89 zenon_H15a zenon_H157 zenon_H132 zenon_Hb5 zenon_H156 zenon_H193 zenon_H192 zenon_H191 zenon_H161 zenon_H18b zenon_H6c zenon_H174 zenon_H4f zenon_H187. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.78/0.96 apply (zenon_L472_); trivial. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Ha. zenon_intro zenon_H189. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H13f. zenon_intro zenon_H18a. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.78/0.96 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H3 | zenon_intro zenon_H12e ]. % 0.78/0.96 apply (zenon_L253_); trivial. % 0.78/0.96 apply (zenon_L464_); trivial. % 0.78/0.96 apply (zenon_L254_); trivial. % 0.78/0.96 apply (zenon_L449_); trivial. % 0.78/0.96 (* end of lemma zenon_L473_ *) % 0.78/0.96 assert (zenon_L474_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp13)) -> (c2_1 (a1989)) -> (~(c3_1 (a1989))) -> (~(c0_1 (a1989))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c1_1 (a1969))) -> (~(c0_1 (a1979))) -> (~(c2_1 (a1979))) -> (c3_1 (a1979)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> (~(c0_1 (a1985))) -> (~(c3_1 (a1985))) -> (c1_1 (a1985)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> (~(hskp14)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> False). % 0.78/0.96 do 0 intro. intros zenon_H18d zenon_Hc5 zenon_H127 zenon_H15 zenon_H11c zenon_H11b zenon_H11a zenon_H7 zenon_H262 zenon_H260 zenon_H257 zenon_H256 zenon_H255 zenon_H1f1 zenon_H1f2 zenon_H1f3 zenon_H178 zenon_H2d zenon_H186 zenon_H131 zenon_H191 zenon_H192 zenon_H193 zenon_H174 zenon_H6c zenon_H15a zenon_H187. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.78/0.96 apply (zenon_L466_); trivial. % 0.78/0.96 apply (zenon_L259_); trivial. % 0.78/0.96 apply (zenon_L449_); trivial. % 0.78/0.96 (* end of lemma zenon_L474_ *) % 0.78/0.96 assert (zenon_L475_ : ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> (~(hskp4)) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(c3_1 (a1981))) -> (c1_1 (a1981)) -> (c0_1 (a1981)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39)))))))) -> (c3_1 (a1979)) -> (~(c2_1 (a1979))) -> (~(c0_1 (a1979))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((hskp23)\/((hskp5)\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> (~(c1_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c3_1 (a1969))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> False). % 0.78/0.96 do 0 intro. intros zenon_H12c zenon_Hc5 zenon_H131 zenon_H12d zenon_H156 zenon_H132 zenon_H3a zenon_Hb5 zenon_H178 zenon_H2d zenon_H1c8 zenon_H1bc zenon_H1bb zenon_H1ea zenon_H1f3 zenon_H1f2 zenon_H1f1 zenon_H186 zenon_H9f zenon_H9d zenon_H9b zenon_H255 zenon_H256 zenon_H257 zenon_H25e zenon_Hbc. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.96 apply (zenon_L446_); trivial. % 0.78/0.96 apply (zenon_L266_); trivial. % 0.78/0.96 (* end of lemma zenon_L475_ *) % 0.78/0.96 assert (zenon_L476_ : ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12))) -> (~(c3_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c1_1 (a1969))) -> (c1_1 (a1977)) -> (forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24)))))) -> (~(c2_1 (a1977))) -> (ndr1_0) -> (~(hskp12)) -> False). % 0.78/0.96 do 0 intro. intros zenon_H25e zenon_H257 zenon_H256 zenon_H255 zenon_H20d zenon_Hc6 zenon_H20a zenon_Ha zenon_H38. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H254 | zenon_intro zenon_H25f ]. % 0.78/0.96 apply (zenon_L444_); trivial. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_Hab | zenon_intro zenon_H39 ]. % 0.78/0.96 apply (zenon_L288_); trivial. % 0.78/0.96 exact (zenon_H38 zenon_H39). % 0.78/0.96 (* end of lemma zenon_L476_ *) % 0.78/0.96 assert (zenon_L477_ : ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12))) -> (~(c3_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c1_1 (a1969))) -> (c1_1 (a1977)) -> (~(c3_1 (a1977))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X))))) -> (~(c2_1 (a1977))) -> (ndr1_0) -> (~(hskp12)) -> False). % 0.78/0.96 do 0 intro. intros zenon_H25e zenon_H257 zenon_H256 zenon_H255 zenon_H20d zenon_H20c zenon_H20b zenon_H20a zenon_Ha zenon_H38. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H254 | zenon_intro zenon_H25f ]. % 0.78/0.96 apply (zenon_L444_); trivial. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_Hab | zenon_intro zenon_H39 ]. % 0.78/0.96 apply (zenon_L273_); trivial. % 0.78/0.96 exact (zenon_H38 zenon_H39). % 0.78/0.96 (* end of lemma zenon_L477_ *) % 0.78/0.96 assert (zenon_L478_ : ((ndr1_0)/\((c0_1 (a1972))/\((c1_1 (a1972))/\(c3_1 (a1972))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))) -> (~(c1_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c3_1 (a1969))) -> (~(c2_1 (a1977))) -> (~(c3_1 (a1977))) -> (c1_1 (a1977)) -> (~(hskp12)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12))) -> False). % 0.78/0.96 do 0 intro. intros zenon_He9 zenon_H22b zenon_H255 zenon_H256 zenon_H257 zenon_H20a zenon_H20c zenon_H20d zenon_H38 zenon_H25e. % 0.78/0.96 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.78/0.96 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_Hdc. zenon_intro zenon_Hec. % 0.78/0.96 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H20b | zenon_intro zenon_H3e ]. % 0.78/0.96 apply (zenon_L477_); trivial. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H254 | zenon_intro zenon_H25f ]. % 0.78/0.96 apply (zenon_L444_); trivial. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_Hab | zenon_intro zenon_H39 ]. % 0.78/0.96 apply (zenon_L293_); trivial. % 0.78/0.96 exact (zenon_H38 zenon_H39). % 0.78/0.96 (* end of lemma zenon_L478_ *) % 0.78/0.96 assert (zenon_L479_ : ((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a2009))/\((~(c1_1 (a2009)))/\(~(c3_1 (a2009))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9)))))))) -> (~(c3_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c1_1 (a1969))) -> (~(hskp6)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((hskp23)\/(hskp6))) -> (~(c2_1 (a1977))) -> (~(c3_1 (a1977))) -> (c1_1 (a1977)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp21))) -> False). % 0.78/0.96 do 0 intro. intros zenon_H129 zenon_H1e9 zenon_Hbc zenon_H264 zenon_H257 zenon_H256 zenon_H255 zenon_H74 zenon_H1e2 zenon_H20a zenon_H20c zenon_H20d zenon_H1d4. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Ha. zenon_intro zenon_H12a. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H110. zenon_intro zenon_H12b. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H1e6 ]. % 0.78/0.96 apply (zenon_L283_); trivial. % 0.78/0.96 apply (zenon_L457_); trivial. % 0.78/0.96 (* end of lemma zenon_L479_ *) % 0.78/0.96 assert (zenon_L480_ : ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12))) -> (~(c3_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c1_1 (a1969))) -> (~(c3_1 (a1977))) -> (c1_1 (a1977)) -> (~(c2_1 (a1977))) -> (ndr1_0) -> (forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28)))))) -> (~(hskp12)) -> False). % 0.78/0.96 do 0 intro. intros zenon_H25e zenon_H257 zenon_H256 zenon_H255 zenon_H20c zenon_H20d zenon_H20a zenon_Ha zenon_H1c zenon_H38. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H254 | zenon_intro zenon_H25f ]. % 0.78/0.96 apply (zenon_L444_); trivial. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_Hab | zenon_intro zenon_H39 ]. % 0.78/0.96 apply (zenon_L276_); trivial. % 0.78/0.96 exact (zenon_H38 zenon_H39). % 0.78/0.96 (* end of lemma zenon_L480_ *) % 0.78/0.96 assert (zenon_L481_ : ((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12))) -> (~(c2_1 (a1977))) -> (c1_1 (a1977)) -> (~(c3_1 (a1977))) -> (~(c1_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c3_1 (a1969))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12))) -> (~(hskp12)) -> False). % 0.78/0.96 do 0 intro. intros zenon_Hc1 zenon_H51 zenon_H20a zenon_H20d zenon_H20c zenon_H255 zenon_H256 zenon_H257 zenon_H25e zenon_H38. % 0.78/0.96 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2. % 0.78/0.96 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc3. % 0.78/0.96 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H1c | zenon_intro zenon_H57 ]. % 0.78/0.96 apply (zenon_L480_); trivial. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H2e | zenon_intro zenon_H39 ]. % 0.78/0.96 apply (zenon_L76_); trivial. % 0.78/0.96 exact (zenon_H38 zenon_H39). % 0.78/0.96 (* end of lemma zenon_L481_ *) % 0.78/0.96 assert (zenon_L482_ : ((ndr1_0)/\((c3_1 (a1983))/\((~(c0_1 (a1983)))/\(~(c1_1 (a1983)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a2009))/\((~(c1_1 (a2009)))/\(~(c3_1 (a2009))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((hskp23)\/(hskp6))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((hskp29)\/(hskp6))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12))) -> (~(c3_1 (a1977))) -> (c1_1 (a1977)) -> (~(c2_1 (a1977))) -> (~(c3_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c1_1 (a1969))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> False). % 0.78/0.96 do 0 intro. intros zenon_H1ee zenon_H12c zenon_H1e9 zenon_Hbc zenon_H264 zenon_H1e2 zenon_H1d4 zenon_H186 zenon_H2d zenon_H74 zenon_H1a4 zenon_H25e zenon_H20c zenon_H20d zenon_H20a zenon_H257 zenon_H256 zenon_H255 zenon_H51 zenon_Hc5. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Ha. zenon_intro zenon_H1ef. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H19d. zenon_intro zenon_H1f0. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H19b. zenon_intro zenon_H19c. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.96 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.96 apply (zenon_L148_); trivial. % 0.78/0.96 apply (zenon_L481_); trivial. % 0.78/0.96 apply (zenon_L479_); trivial. % 0.78/0.96 (* end of lemma zenon_L482_ *) % 0.78/0.96 assert (zenon_L483_ : ((ndr1_0)/\((c3_1 (a1979))/\((~(c0_1 (a1979)))/\(~(c2_1 (a1979)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12))) -> (~(c1_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c3_1 (a1969))) -> (~(c2_1 (a1977))) -> (c1_1 (a1977)) -> (~(c3_1 (a1977))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39)))))))) -> False). % 0.78/0.96 do 0 intro. intros zenon_H22c zenon_H12c zenon_H51 zenon_H255 zenon_H256 zenon_H257 zenon_H20a zenon_H20d zenon_H20c zenon_H25e zenon_H1ea. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_Ha. zenon_intro zenon_H22d. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H1f3. zenon_intro zenon_H22e. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H22e). zenon_intro zenon_H1f1. zenon_intro zenon_H1f2. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H59 | zenon_intro zenon_H1eb ]. % 0.78/0.96 apply (zenon_L209_); trivial. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H10d | zenon_intro zenon_H1ce ]. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H1c | zenon_intro zenon_H57 ]. % 0.78/0.96 apply (zenon_L480_); trivial. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H2e | zenon_intro zenon_H39 ]. % 0.78/0.96 apply (zenon_L211_); trivial. % 0.78/0.96 exact (zenon_H38 zenon_H39). % 0.78/0.96 apply (zenon_L281_); trivial. % 0.78/0.96 apply (zenon_L313_); trivial. % 0.78/0.96 (* end of lemma zenon_L483_ *) % 0.78/0.96 assert (zenon_L484_ : ((ndr1_0)/\((c1_1 (a1977))/\((~(c2_1 (a1977)))/\(~(c3_1 (a1977)))))) -> ((~(hskp6))\/((ndr1_0)/\((c3_1 (a1979))/\((~(c0_1 (a1979)))/\(~(c2_1 (a1979))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a2009))/\((~(c1_1 (a2009)))/\(~(c3_1 (a2009))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((hskp23)\/(hskp6))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp21))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((hskp28)\/(hskp8))) -> (~(c1_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c3_1 (a1969))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c2_1 X)\/(c3_1 X)))))\/(forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1972))/\((c1_1 (a1972))/\(c3_1 (a1972)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((hskp29)\/(hskp6))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((~(hskp8))\/((ndr1_0)/\((c3_1 (a1983))/\((~(c0_1 (a1983)))/\(~(c1_1 (a1983))))))) -> False). % 0.78/0.96 do 0 intro. intros zenon_H266 zenon_H22f zenon_H1ea zenon_H12c zenon_H1e9 zenon_Hbc zenon_H264 zenon_H1e2 zenon_H1d4 zenon_Hd2 zenon_H255 zenon_H256 zenon_H257 zenon_H25e zenon_H22b zenon_Hee zenon_Hc5 zenon_H51 zenon_H1a4 zenon_H2d zenon_H186 zenon_H207. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H266). zenon_intro zenon_Ha. zenon_intro zenon_H267. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H267). zenon_intro zenon_H20d. zenon_intro zenon_H268. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H268). zenon_intro zenon_H20a. zenon_intro zenon_H20c. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H74 | zenon_intro zenon_H22c ]. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H9d | zenon_intro zenon_H1ee ]. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.96 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_Hd0 | zenon_intro zenon_He9 ]. % 0.78/0.96 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hd3 ]. % 0.78/0.96 apply (zenon_L476_); trivial. % 0.78/0.96 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H9e ]. % 0.78/0.96 exact (zenon_Hd0 zenon_Hd1). % 0.78/0.96 exact (zenon_H9d zenon_H9e). % 0.78/0.96 apply (zenon_L478_); trivial. % 0.78/0.96 apply (zenon_L479_); trivial. % 0.78/0.96 apply (zenon_L482_); trivial. % 0.78/0.96 apply (zenon_L483_); trivial. % 0.78/0.96 (* end of lemma zenon_L484_ *) % 0.78/0.96 assert (zenon_L485_ : ((ndr1_0)/\((c2_1 (a1987))/\((c3_1 (a1987))/\(~(c1_1 (a1987)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(c1_1 (a1975))) -> (~(c2_1 (a1975))) -> (c0_1 (a1975)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (~(hskp9)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp9))) -> ((hskp23)\/((hskp5)\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> (~(c1_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c3_1 (a1969))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> False). % 0.78/0.96 do 0 intro. intros zenon_H1b3 zenon_H12c zenon_H131 zenon_H12d zenon_H156 zenon_H230 zenon_H231 zenon_H232 zenon_H157 zenon_H65 zenon_H16d zenon_H9f zenon_H9d zenon_H9b zenon_H255 zenon_H256 zenon_H257 zenon_H25e zenon_Hbc. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_Ha. zenon_intro zenon_H1b4. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H146. zenon_intro zenon_H1b5. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H147. zenon_intro zenon_H145. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.96 apply (zenon_L446_); trivial. % 0.78/0.96 apply (zenon_L325_); trivial. % 0.78/0.96 (* end of lemma zenon_L485_ *) % 0.78/0.96 assert (zenon_L486_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (c3_1 (a1987)) -> (c2_1 (a1987)) -> (~(c1_1 (a1987))) -> (~(c1_1 (a1975))) -> (~(c2_1 (a1975))) -> (c0_1 (a1975)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (c0_1 (a1996)) -> (c3_1 (a1996)) -> (~(c2_1 (a1996))) -> (forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))) -> (ndr1_0) -> (~(hskp19)) -> False). % 0.78/0.96 do 0 intro. intros zenon_H156 zenon_H147 zenon_H146 zenon_H145 zenon_H230 zenon_H231 zenon_H232 zenon_H157 zenon_H13f zenon_H137 zenon_H135 zenon_H134 zenon_Ha zenon_H3. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb | zenon_intro zenon_H158 ]. % 0.78/0.96 apply (zenon_L318_); trivial. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H79 | zenon_intro zenon_H4 ]. % 0.78/0.96 apply (zenon_L220_); trivial. % 0.78/0.96 exact (zenon_H3 zenon_H4). % 0.78/0.96 (* end of lemma zenon_L486_ *) % 0.78/0.96 assert (zenon_L487_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> (~(c1_1 (a1990))) -> (c3_1 (a1990)) -> (~(c2_1 (a1990))) -> (c1_1 (a1985)) -> (~(c3_1 (a1985))) -> (~(c0_1 (a1985))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (c3_1 (a1987)) -> (c2_1 (a1987)) -> (~(c1_1 (a1987))) -> (~(c1_1 (a1975))) -> (~(c2_1 (a1975))) -> (c0_1 (a1975)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (c0_1 (a1996)) -> (c3_1 (a1996)) -> (~(c2_1 (a1996))) -> (ndr1_0) -> (~(hskp19)) -> False). % 0.78/0.96 do 0 intro. intros zenon_H15a zenon_H10e zenon_H110 zenon_H10f zenon_H193 zenon_H192 zenon_H191 zenon_H156 zenon_H147 zenon_H146 zenon_H145 zenon_H230 zenon_H231 zenon_H232 zenon_H157 zenon_H13f zenon_H137 zenon_H135 zenon_Ha zenon_H3. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H59 | zenon_intro zenon_H15b ]. % 0.78/0.96 apply (zenon_L323_); trivial. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1c | zenon_intro zenon_H134 ]. % 0.78/0.96 apply (zenon_L131_); trivial. % 0.78/0.96 apply (zenon_L486_); trivial. % 0.78/0.96 (* end of lemma zenon_L487_ *) % 0.78/0.96 assert (zenon_L488_ : ((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(c2_1 (a1990))) -> (c3_1 (a1990)) -> (~(c1_1 (a1990))) -> (~(c1_1 (a1975))) -> (~(c2_1 (a1975))) -> (c0_1 (a1975)) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (~(c0_1 (a1985))) -> (~(c3_1 (a1985))) -> (c1_1 (a1985)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> False). % 0.78/0.96 do 0 intro. intros zenon_H188 zenon_H131 zenon_Hbc zenon_H12d zenon_H9b zenon_H9d zenon_H9f zenon_H156 zenon_H10f zenon_H110 zenon_H10e zenon_H230 zenon_H231 zenon_H232 zenon_H145 zenon_H146 zenon_H147 zenon_H157 zenon_H191 zenon_H192 zenon_H193 zenon_H15a. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Ha. zenon_intro zenon_H189. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H13f. zenon_intro zenon_H18a. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H3 | zenon_intro zenon_H12e ]. % 0.78/0.96 apply (zenon_L487_); trivial. % 0.78/0.96 apply (zenon_L83_); trivial. % 0.78/0.96 (* end of lemma zenon_L488_ *) % 0.78/0.96 assert (zenon_L489_ : ((~(hskp9))\/((ndr1_0)/\((c1_1 (a1985))/\((~(c0_1 (a1985)))/\(~(c3_1 (a1985))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp2))) -> (~(hskp2)) -> ((hskp16)\/((hskp19)\/(hskp15))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((hskp1)\/(hskp10))) -> (~(hskp1)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> (~(c1_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c3_1 (a1969))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp9))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (c0_1 (a1975)) -> (~(c2_1 (a1975))) -> (~(c1_1 (a1975))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a1987))/\((c3_1 (a1987))/\(~(c1_1 (a1987))))))) -> False). % 0.78/0.96 do 0 intro. intros zenon_H1b6 zenon_H18d zenon_H262 zenon_H260 zenon_H7 zenon_H15a zenon_H187 zenon_H12c zenon_H117 zenon_Hb5 zenon_H9f zenon_H9d zenon_H9b zenon_H255 zenon_H256 zenon_H257 zenon_H25e zenon_Hbc zenon_H16d zenon_H157 zenon_H232 zenon_H231 zenon_H230 zenon_H156 zenon_H12d zenon_H131 zenon_H1b7. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H65 | zenon_intro zenon_H1b8 ]. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H6e | zenon_intro zenon_H1b3 ]. % 0.78/0.96 apply (zenon_L447_); trivial. % 0.78/0.96 apply (zenon_L485_); trivial. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha. zenon_intro zenon_H1b9. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H193. zenon_intro zenon_H1ba. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H191. zenon_intro zenon_H192. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H6e | zenon_intro zenon_H1b3 ]. % 0.78/0.96 apply (zenon_L447_); trivial. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_Ha. zenon_intro zenon_H1b4. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H146. zenon_intro zenon_H1b5. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H147. zenon_intro zenon_H145. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.96 apply (zenon_L446_); trivial. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Ha. zenon_intro zenon_H12a. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H110. zenon_intro zenon_H12b. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.78/0.96 apply (zenon_L84_); trivial. % 0.78/0.96 apply (zenon_L488_); trivial. % 0.78/0.96 apply (zenon_L449_); trivial. % 0.78/0.96 (* end of lemma zenon_L489_ *) % 0.78/0.96 assert (zenon_L490_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((hskp13)\/(hskp20))) -> (~(hskp16)) -> (~(hskp15)) -> ((hskp16)\/((hskp19)\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((hskp29)\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a1983)) -> (~(c1_1 (a1983))) -> (~(c0_1 (a1983))) -> (ndr1_0) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> False). % 0.78/0.96 do 0 intro. intros zenon_Hc5 zenon_H131 zenon_H4f zenon_H1a6 zenon_H9b zenon_H127 zenon_H15 zenon_H19 zenon_H1 zenon_H5 zenon_H7 zenon_H1a4 zenon_H74 zenon_H19d zenon_H19c zenon_H19b zenon_Ha zenon_H2d zenon_H186. % 0.78/0.96 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.96 apply (zenon_L148_); trivial. % 0.78/0.96 apply (zenon_L240_); trivial. % 0.78/0.96 (* end of lemma zenon_L490_ *) % 0.78/0.96 assert (zenon_L491_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> (~(c1_1 (a1990))) -> (c3_1 (a1990)) -> (~(c2_1 (a1990))) -> (~(c0_1 (a1998))) -> (c3_1 (a1998)) -> (c1_1 (a1985)) -> (~(c3_1 (a1985))) -> (~(c0_1 (a1985))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (c3_1 (a1987)) -> (c2_1 (a1987)) -> (~(c1_1 (a1987))) -> (~(c1_1 (a1975))) -> (~(c2_1 (a1975))) -> (c0_1 (a1975)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (c0_1 (a1996)) -> (c3_1 (a1996)) -> (~(c2_1 (a1996))) -> (ndr1_0) -> (~(hskp19)) -> False). % 0.78/0.96 do 0 intro. intros zenon_H15a zenon_H10e zenon_H110 zenon_H10f zenon_H58 zenon_H5a zenon_H193 zenon_H192 zenon_H191 zenon_H156 zenon_H147 zenon_H146 zenon_H145 zenon_H230 zenon_H231 zenon_H232 zenon_H157 zenon_H13f zenon_H137 zenon_H135 zenon_Ha zenon_H3. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H59 | zenon_intro zenon_H15b ]. % 0.78/0.96 apply (zenon_L111_); trivial. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1c | zenon_intro zenon_H134 ]. % 0.78/0.96 apply (zenon_L131_); trivial. % 0.78/0.96 apply (zenon_L486_); trivial. % 0.78/0.96 (* end of lemma zenon_L491_ *) % 0.78/0.96 assert (zenon_L492_ : ((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (c3_1 (a1983)) -> (~(c1_1 (a1983))) -> (~(c0_1 (a1983))) -> (~(hskp13)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((hskp13)\/(hskp20))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(c2_1 (a1990))) -> (c3_1 (a1990)) -> (~(c1_1 (a1990))) -> (~(c0_1 (a1985))) -> (~(c3_1 (a1985))) -> (c1_1 (a1985)) -> (c0_1 (a1996)) -> (c3_1 (a1996)) -> (~(c2_1 (a1996))) -> (~(c1_1 (a1975))) -> (~(c2_1 (a1975))) -> (c0_1 (a1975)) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> False). % 0.78/0.96 do 0 intro. intros zenon_Hc1 zenon_H131 zenon_H4f zenon_H1a6 zenon_H9b zenon_H127 zenon_H19d zenon_H19c zenon_H19b zenon_H15 zenon_H19 zenon_H156 zenon_H10f zenon_H110 zenon_H10e zenon_H191 zenon_H192 zenon_H193 zenon_H13f zenon_H137 zenon_H135 zenon_H230 zenon_H231 zenon_H232 zenon_H145 zenon_H146 zenon_H147 zenon_H157 zenon_H15a. % 0.78/0.96 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2. % 0.78/0.96 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc3. % 0.78/0.96 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H3 | zenon_intro zenon_H12e ]. % 0.78/0.96 apply (zenon_L491_); trivial. % 0.78/0.96 apply (zenon_L239_); trivial. % 0.78/0.96 (* end of lemma zenon_L492_ *) % 0.78/0.96 assert (zenon_L493_ : ((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((hskp13)\/(hskp20))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(c2_1 (a1990))) -> (c3_1 (a1990)) -> (~(c1_1 (a1990))) -> (~(c0_1 (a1985))) -> (~(c3_1 (a1985))) -> (c1_1 (a1985)) -> (~(c1_1 (a1975))) -> (~(c2_1 (a1975))) -> (c0_1 (a1975)) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((hskp29)\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a1983)) -> (~(c1_1 (a1983))) -> (~(c0_1 (a1983))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> False). % 0.78/0.96 do 0 intro. intros zenon_H188 zenon_Hc5 zenon_H131 zenon_H4f zenon_H1a6 zenon_H9b zenon_H127 zenon_H15 zenon_H19 zenon_H156 zenon_H10f zenon_H110 zenon_H10e zenon_H191 zenon_H192 zenon_H193 zenon_H230 zenon_H231 zenon_H232 zenon_H145 zenon_H146 zenon_H147 zenon_H157 zenon_H15a zenon_H1a4 zenon_H74 zenon_H19d zenon_H19c zenon_H19b zenon_H2d zenon_H186. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Ha. zenon_intro zenon_H189. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H13f. zenon_intro zenon_H18a. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.78/0.96 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.96 apply (zenon_L148_); trivial. % 0.78/0.96 apply (zenon_L492_); trivial. % 0.78/0.96 (* end of lemma zenon_L493_ *) % 0.78/0.96 assert (zenon_L494_ : ((ndr1_0)/\((c2_1 (a1987))/\((c3_1 (a1987))/\(~(c1_1 (a1987)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(c1_1 (a1975))) -> (~(c2_1 (a1975))) -> (c0_1 (a1975)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((hskp13)\/(hskp20))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> (~(c1_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c3_1 (a1969))) -> (~(hskp2)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp2))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(c0_1 (a1983))) -> (~(c1_1 (a1983))) -> (c3_1 (a1983)) -> (~(hskp6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((hskp29)\/(hskp6))) -> (~(c0_1 (a1985))) -> (~(c3_1 (a1985))) -> (c1_1 (a1985)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> False). % 0.78/0.96 do 0 intro. intros zenon_H1b3 zenon_H12c zenon_Hff zenon_H187 zenon_H156 zenon_H230 zenon_H231 zenon_H232 zenon_H157 zenon_H15a zenon_H7 zenon_H19 zenon_H127 zenon_H9b zenon_H1a6 zenon_H4f zenon_H131 zenon_H255 zenon_H256 zenon_H257 zenon_H260 zenon_H262 zenon_H18d zenon_H186 zenon_H2d zenon_H19b zenon_H19c zenon_H19d zenon_H74 zenon_H1a4 zenon_H191 zenon_H192 zenon_H193 zenon_H51 zenon_Hc5. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_Ha. zenon_intro zenon_H1b4. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H146. zenon_intro zenon_H1b5. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H147. zenon_intro zenon_H145. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.96 apply (zenon_L154_); trivial. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Ha. zenon_intro zenon_H12a. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H110. zenon_intro zenon_H12b. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.78/0.96 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.78/0.96 apply (zenon_L490_); trivial. % 0.78/0.96 apply (zenon_L493_); trivial. % 0.78/0.96 apply (zenon_L449_); trivial. % 0.78/0.96 apply (zenon_L150_); trivial. % 0.78/0.96 (* end of lemma zenon_L494_ *) % 0.78/0.96 assert (zenon_L495_ : ((~(hskp8))\/((ndr1_0)/\((c3_1 (a1983))/\((~(c0_1 (a1983)))/\(~(c1_1 (a1983))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((hskp29)\/(hskp6))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp9)\/(hskp11))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((hskp13)\/(hskp20))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a1989))/\((~(c0_1 (a1989)))/\(~(c3_1 (a1989))))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a1987))/\((c3_1 (a1987))/\(~(c1_1 (a1987))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(c1_1 (a1975))) -> (~(c2_1 (a1975))) -> (c0_1 (a1975)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12))) -> (~(c3_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c1_1 (a1969))) -> (~(hskp5)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> (~(hskp1)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((hskp1)\/(hskp10))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> (~(hskp2)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp2))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> ((~(hskp9))\/((ndr1_0)/\((c1_1 (a1985))/\((~(c0_1 (a1985)))/\(~(c3_1 (a1985))))))) -> False). % 0.78/0.96 do 0 intro. intros zenon_H207 zenon_H51 zenon_Hff zenon_H186 zenon_H2d zenon_H74 zenon_H1a4 zenon_H67 zenon_H19 zenon_H127 zenon_H1a6 zenon_H4f zenon_Hc5 zenon_H1a8 zenon_H1b7 zenon_H131 zenon_H12d zenon_H156 zenon_H230 zenon_H231 zenon_H232 zenon_H157 zenon_H16d zenon_Hbc zenon_H25e zenon_H257 zenon_H256 zenon_H255 zenon_H9b zenon_H9f zenon_Hb5 zenon_H117 zenon_H12c zenon_H187 zenon_H15a zenon_H7 zenon_H260 zenon_H262 zenon_H18d zenon_H1b6. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H9d | zenon_intro zenon_H1ee ]. % 0.78/0.96 apply (zenon_L489_); trivial. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Ha. zenon_intro zenon_H1ef. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H19d. zenon_intro zenon_H1f0. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H19b. zenon_intro zenon_H19c. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H65 | zenon_intro zenon_H1b8 ]. % 0.78/0.96 apply (zenon_L153_); trivial. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha. zenon_intro zenon_H1b9. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H193. zenon_intro zenon_H1ba. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H191. zenon_intro zenon_H192. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H6e | zenon_intro zenon_H1b3 ]. % 0.78/0.96 apply (zenon_L155_); trivial. % 0.78/0.96 apply (zenon_L494_); trivial. % 0.78/0.96 (* end of lemma zenon_L495_ *) % 0.78/0.96 assert (zenon_L496_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> (c3_1 (a1979)) -> (~(c2_1 (a1979))) -> (~(c0_1 (a1979))) -> (c1_1 (a1985)) -> (~(c3_1 (a1985))) -> (~(c0_1 (a1985))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (c3_1 (a1987)) -> (c2_1 (a1987)) -> (~(c1_1 (a1987))) -> (~(c1_1 (a1975))) -> (~(c2_1 (a1975))) -> (c0_1 (a1975)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (c0_1 (a1996)) -> (c3_1 (a1996)) -> (~(c2_1 (a1996))) -> (ndr1_0) -> (~(hskp19)) -> False). % 0.78/0.96 do 0 intro. intros zenon_H15a zenon_H1f3 zenon_H1f2 zenon_H1f1 zenon_H193 zenon_H192 zenon_H191 zenon_H156 zenon_H147 zenon_H146 zenon_H145 zenon_H230 zenon_H231 zenon_H232 zenon_H157 zenon_H13f zenon_H137 zenon_H135 zenon_Ha zenon_H3. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H59 | zenon_intro zenon_H15b ]. % 0.78/0.96 apply (zenon_L209_); trivial. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1c | zenon_intro zenon_H134 ]. % 0.78/0.96 apply (zenon_L131_); trivial. % 0.78/0.96 apply (zenon_L486_); trivial. % 0.78/0.96 (* end of lemma zenon_L496_ *) % 0.78/0.96 assert (zenon_L497_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp17)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> (~(c1_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c3_1 (a1969))) -> (~(hskp2)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp2))) -> (ndr1_0) -> (~(c0_1 (a1979))) -> (~(c2_1 (a1979))) -> (c3_1 (a1979)) -> (~(c0_1 (a1985))) -> (~(c3_1 (a1985))) -> (c1_1 (a1985)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (c0_1 (a1996)) -> (c3_1 (a1996)) -> (~(c2_1 (a1996))) -> (~(c1_1 (a1975))) -> (~(c2_1 (a1975))) -> (c0_1 (a1975)) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> False). % 0.78/0.96 do 0 intro. intros zenon_H131 zenon_H186 zenon_H2d zenon_H2b zenon_H178 zenon_H255 zenon_H256 zenon_H257 zenon_H260 zenon_H262 zenon_Ha zenon_H1f1 zenon_H1f2 zenon_H1f3 zenon_H191 zenon_H192 zenon_H193 zenon_H156 zenon_H13f zenon_H137 zenon_H135 zenon_H230 zenon_H231 zenon_H232 zenon_H145 zenon_H146 zenon_H147 zenon_H157 zenon_H15a. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H3 | zenon_intro zenon_H12e ]. % 0.78/0.96 apply (zenon_L496_); trivial. % 0.78/0.96 apply (zenon_L464_); trivial. % 0.78/0.96 (* end of lemma zenon_L497_ *) % 0.78/0.96 assert (zenon_L498_ : ((ndr1_0)/\((c1_1 (a1985))/\((~(c0_1 (a1985)))/\(~(c3_1 (a1985)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a1987))/\((c3_1 (a1987))/\(~(c1_1 (a1987))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (c3_1 (a1983)) -> (~(c1_1 (a1983))) -> (~(c0_1 (a1983))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((hskp13)\/(hskp20))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c1_1 (a1969))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(c1_1 (a1975))) -> (~(c2_1 (a1975))) -> (c0_1 (a1975)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> (~(hskp1)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((hskp1)\/(hskp10))) -> (c3_1 (a1979)) -> (~(c2_1 (a1979))) -> (~(c0_1 (a1979))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> False). % 0.78/0.96 do 0 intro. intros zenon_H1b8 zenon_H1b7 zenon_H18d zenon_H4f zenon_H1a6 zenon_H9b zenon_H127 zenon_H19d zenon_H19c zenon_H19b zenon_H19 zenon_H7 zenon_H262 zenon_H260 zenon_H257 zenon_H256 zenon_H255 zenon_H131 zenon_H156 zenon_H230 zenon_H231 zenon_H232 zenon_H157 zenon_H15a zenon_H187 zenon_Hff zenon_Hc5 zenon_H51 zenon_H178 zenon_Hb5 zenon_H117 zenon_H1f3 zenon_H1f2 zenon_H1f1 zenon_H2d zenon_H186 zenon_H12c. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha. zenon_intro zenon_H1b9. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H193. zenon_intro zenon_H1ba. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H191. zenon_intro zenon_H192. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H6e | zenon_intro zenon_H1b3 ]. % 0.78/0.96 apply (zenon_L248_); trivial. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_Ha. zenon_intro zenon_H1b4. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H146. zenon_intro zenon_H1b5. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H147. zenon_intro zenon_H145. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.96 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.78/0.96 apply (zenon_L471_); trivial. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Ha. zenon_intro zenon_H189. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H13f. zenon_intro zenon_H18a. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.78/0.96 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.96 apply (zenon_L497_); trivial. % 0.78/0.96 apply (zenon_L132_); trivial. % 0.78/0.96 apply (zenon_L449_); trivial. % 0.78/0.96 apply (zenon_L150_); trivial. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Ha. zenon_intro zenon_H12a. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H110. zenon_intro zenon_H12b. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.78/0.96 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.78/0.96 apply (zenon_L471_); trivial. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Ha. zenon_intro zenon_H189. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H13f. zenon_intro zenon_H18a. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.78/0.96 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.96 apply (zenon_L497_); trivial. % 0.78/0.96 apply (zenon_L492_); trivial. % 0.78/0.96 apply (zenon_L449_); trivial. % 0.78/0.96 apply (zenon_L150_); trivial. % 0.78/0.96 (* end of lemma zenon_L498_ *) % 0.78/0.96 assert (zenon_L499_ : (forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))) -> (ndr1_0) -> (~(c2_1 (a1973))) -> (c1_1 (a1973)) -> (c3_1 (a1973)) -> False). % 0.78/0.96 do 0 intro. intros zenon_H134 zenon_Ha zenon_H269 zenon_H26a zenon_H26b. % 0.78/0.96 generalize (zenon_H134 (a1973)). zenon_intro zenon_H26c. % 0.78/0.96 apply (zenon_imply_s _ _ zenon_H26c); [ zenon_intro zenon_H9 | zenon_intro zenon_H26d ]. % 0.78/0.96 exact (zenon_H9 zenon_Ha). % 0.78/0.96 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H26f | zenon_intro zenon_H26e ]. % 0.78/0.96 exact (zenon_H269 zenon_H26f). % 0.78/0.96 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H271 | zenon_intro zenon_H270 ]. % 0.78/0.96 exact (zenon_H271 zenon_H26a). % 0.78/0.96 exact (zenon_H270 zenon_H26b). % 0.78/0.96 (* end of lemma zenon_L499_ *) % 0.78/0.96 assert (zenon_L500_ : (forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64)))))) -> (ndr1_0) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))) -> (c1_1 (a1973)) -> (c3_1 (a1973)) -> False). % 0.78/0.96 do 0 intro. intros zenon_Hdb zenon_Ha zenon_H2e zenon_H26a zenon_H26b. % 0.78/0.96 generalize (zenon_Hdb (a1973)). zenon_intro zenon_H272. % 0.78/0.96 apply (zenon_imply_s _ _ zenon_H272); [ zenon_intro zenon_H9 | zenon_intro zenon_H273 ]. % 0.78/0.96 exact (zenon_H9 zenon_Ha). % 0.78/0.96 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H274 | zenon_intro zenon_H26e ]. % 0.78/0.96 generalize (zenon_H2e (a1973)). zenon_intro zenon_H275. % 0.78/0.96 apply (zenon_imply_s _ _ zenon_H275); [ zenon_intro zenon_H9 | zenon_intro zenon_H276 ]. % 0.78/0.96 exact (zenon_H9 zenon_Ha). % 0.78/0.96 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H277 | zenon_intro zenon_H26e ]. % 0.78/0.96 exact (zenon_H274 zenon_H277). % 0.78/0.96 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H271 | zenon_intro zenon_H270 ]. % 0.78/0.96 exact (zenon_H271 zenon_H26a). % 0.78/0.96 exact (zenon_H270 zenon_H26b). % 0.78/0.96 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H271 | zenon_intro zenon_H270 ]. % 0.78/0.96 exact (zenon_H271 zenon_H26a). % 0.78/0.96 exact (zenon_H270 zenon_H26b). % 0.78/0.96 (* end of lemma zenon_L500_ *) % 0.78/0.96 assert (zenon_L501_ : ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (~(c2_1 (a1973))) -> (c3_1 (a1973)) -> (c1_1 (a1973)) -> (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))) -> (ndr1_0) -> (~(hskp20)) -> False). % 0.78/0.96 do 0 intro. intros zenon_H161 zenon_H269 zenon_H26b zenon_H26a zenon_H2e zenon_Ha zenon_H17. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H134 | zenon_intro zenon_H162 ]. % 0.78/0.96 apply (zenon_L499_); trivial. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hdb | zenon_intro zenon_H18 ]. % 0.78/0.96 apply (zenon_L500_); trivial. % 0.78/0.96 exact (zenon_H17 zenon_H18). % 0.78/0.96 (* end of lemma zenon_L501_ *) % 0.78/0.96 assert (zenon_L502_ : ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp13)\/(hskp17))) -> (~(hskp20)) -> (ndr1_0) -> (c1_1 (a1973)) -> (c3_1 (a1973)) -> (~(c2_1 (a1973))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (~(hskp13)) -> (~(hskp17)) -> False). % 0.78/0.96 do 0 intro. intros zenon_H97 zenon_H17 zenon_Ha zenon_H26a zenon_H26b zenon_H269 zenon_H161 zenon_H15 zenon_H2b. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H2e | zenon_intro zenon_H98 ]. % 0.78/0.96 apply (zenon_L501_); trivial. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H16 | zenon_intro zenon_H2c ]. % 0.78/0.96 exact (zenon_H15 zenon_H16). % 0.78/0.96 exact (zenon_H2b zenon_H2c). % 0.78/0.96 (* end of lemma zenon_L502_ *) % 0.78/0.96 assert (zenon_L503_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> (~(c1_1 (a1990))) -> (c3_1 (a1990)) -> (~(c2_1 (a1990))) -> (~(hskp14)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (c3_1 (a1973)) -> (c1_1 (a1973)) -> (~(c2_1 (a1973))) -> (ndr1_0) -> (~(hskp13)) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp13)\/(hskp17))) -> False). % 0.78/0.96 do 0 intro. intros zenon_H4f zenon_H15a zenon_H2d zenon_H172 zenon_H3a zenon_H10e zenon_H110 zenon_H10f zenon_H6c zenon_H174 zenon_H161 zenon_H26b zenon_H26a zenon_H269 zenon_Ha zenon_H15 zenon_H2b zenon_H97. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H17 | zenon_intro zenon_H53 ]. % 0.78/0.96 apply (zenon_L502_); trivial. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_Ha. zenon_intro zenon_H54. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H1e. zenon_intro zenon_H55. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H1f. zenon_intro zenon_H1d. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H59 | zenon_intro zenon_H15b ]. % 0.78/0.96 apply (zenon_L109_); trivial. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1c | zenon_intro zenon_H134 ]. % 0.78/0.96 apply (zenon_L12_); trivial. % 0.78/0.96 apply (zenon_L499_); trivial. % 0.78/0.96 (* end of lemma zenon_L503_ *) % 0.78/0.96 assert (zenon_L504_ : ((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> (~(hskp19)) -> (~(c1_1 (a1990))) -> (c3_1 (a1990)) -> (~(c2_1 (a1990))) -> (~(c0_1 (a1998))) -> (c3_1 (a1998)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(hskp4)) -> (~(hskp1)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> (~(c2_1 (a1973))) -> (c1_1 (a1973)) -> (c3_1 (a1973)) -> False). % 0.78/0.96 do 0 intro. intros zenon_H53 zenon_H15a zenon_H3 zenon_H10e zenon_H110 zenon_H10f zenon_H58 zenon_H5a zenon_H156 zenon_H3a zenon_Hb5 zenon_H132 zenon_H269 zenon_H26a zenon_H26b. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_Ha. zenon_intro zenon_H54. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H1e. zenon_intro zenon_H55. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H1f. zenon_intro zenon_H1d. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H59 | zenon_intro zenon_H15b ]. % 0.78/0.96 apply (zenon_L111_); trivial. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1c | zenon_intro zenon_H134 ]. % 0.78/0.96 apply (zenon_L86_); trivial. % 0.78/0.96 apply (zenon_L499_); trivial. % 0.78/0.96 (* end of lemma zenon_L504_ *) % 0.78/0.96 assert (zenon_L505_ : ((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> (~(hskp4)) -> (~(hskp1)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(c2_1 (a1990))) -> (c3_1 (a1990)) -> (~(c1_1 (a1990))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (c3_1 (a1973)) -> (c1_1 (a1973)) -> (~(c2_1 (a1973))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> False). % 0.78/0.96 do 0 intro. intros zenon_Hc1 zenon_H131 zenon_Hbc zenon_H12d zenon_H9b zenon_H9d zenon_H9f zenon_H186 zenon_H132 zenon_H3a zenon_Hb5 zenon_H156 zenon_H10f zenon_H110 zenon_H10e zenon_H161 zenon_H26b zenon_H26a zenon_H269 zenon_H178 zenon_H15a zenon_H4f. % 0.78/0.96 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2. % 0.78/0.96 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc3. % 0.78/0.96 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H3 | zenon_intro zenon_H12e ]. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H17 | zenon_intro zenon_H53 ]. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H176 | zenon_intro zenon_H183 ]. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H59 | zenon_intro zenon_H179 ]. % 0.78/0.96 apply (zenon_L111_); trivial. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H2e | zenon_intro zenon_H177 ]. % 0.78/0.96 apply (zenon_L501_); trivial. % 0.78/0.96 exact (zenon_H176 zenon_H177). % 0.78/0.96 apply (zenon_L115_); trivial. % 0.78/0.96 apply (zenon_L504_); trivial. % 0.78/0.96 apply (zenon_L83_); trivial. % 0.78/0.96 (* end of lemma zenon_L505_ *) % 0.78/0.96 assert (zenon_L506_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> (~(hskp1)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp13)\/(hskp17))) -> (~(hskp13)) -> (ndr1_0) -> (~(c2_1 (a1973))) -> (c1_1 (a1973)) -> (c3_1 (a1973)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> (~(hskp14)) -> (~(c2_1 (a1990))) -> (c3_1 (a1990)) -> (~(c1_1 (a1990))) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> False). % 0.78/0.96 do 0 intro. intros zenon_Hc5 zenon_H131 zenon_Hbc zenon_H12d zenon_H9b zenon_H9d zenon_H9f zenon_H186 zenon_H132 zenon_Hb5 zenon_H156 zenon_H178 zenon_H97 zenon_H15 zenon_Ha zenon_H269 zenon_H26a zenon_H26b zenon_H161 zenon_H174 zenon_H6c zenon_H10f zenon_H110 zenon_H10e zenon_H3a zenon_H172 zenon_H2d zenon_H15a zenon_H4f. % 0.78/0.96 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.96 apply (zenon_L503_); trivial. % 0.78/0.96 apply (zenon_L505_); trivial. % 0.78/0.96 (* end of lemma zenon_L506_ *) % 0.78/0.96 assert (zenon_L507_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> (c1_1 (a1992)) -> (~(c2_1 (a1992))) -> (~(c0_1 (a1992))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (c3_1 (a1973)) -> (c1_1 (a1973)) -> (~(c2_1 (a1973))) -> (ndr1_0) -> (~(hskp13)) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp13)\/(hskp17))) -> False). % 0.78/0.96 do 0 intro. intros zenon_H4f zenon_Hea zenon_He7 zenon_H3a zenon_H172 zenon_Hc9 zenon_Hc8 zenon_Hc7 zenon_H161 zenon_H26b zenon_H26a zenon_H269 zenon_Ha zenon_H15 zenon_H2b zenon_H97. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H17 | zenon_intro zenon_H53 ]. % 0.78/0.96 apply (zenon_L502_); trivial. % 0.78/0.96 apply (zenon_L121_); trivial. % 0.78/0.96 (* end of lemma zenon_L507_ *) % 0.78/0.96 assert (zenon_L508_ : ((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> (~(hskp1)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(c2_1 (a1990))) -> (c3_1 (a1990)) -> (~(c1_1 (a1990))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (c3_1 (a1973)) -> (c1_1 (a1973)) -> (~(c2_1 (a1973))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> False). % 0.78/0.96 do 0 intro. intros zenon_Hfc zenon_Hc5 zenon_H131 zenon_Hbc zenon_H12d zenon_H9b zenon_H9d zenon_H9f zenon_H186 zenon_H132 zenon_Hb5 zenon_H156 zenon_H10f zenon_H110 zenon_H10e zenon_H161 zenon_H26b zenon_H26a zenon_H269 zenon_H178 zenon_H15a zenon_H4f zenon_H3a zenon_H172. % 0.78/0.96 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Ha. zenon_intro zenon_Hfd. % 0.78/0.96 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hf0. zenon_intro zenon_Hfe. % 0.78/0.96 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hf1. zenon_intro zenon_Hef. % 0.78/0.96 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.96 apply (zenon_L127_); trivial. % 0.78/0.96 apply (zenon_L505_); trivial. % 0.78/0.96 (* end of lemma zenon_L508_ *) % 0.78/0.96 assert (zenon_L509_ : ((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> (~(hskp1)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp13)\/(hskp17))) -> (~(c2_1 (a1973))) -> (c1_1 (a1973)) -> (c3_1 (a1973)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a1992))/\((~(c0_1 (a1992)))/\(~(c2_1 (a1992))))))) -> False). % 0.78/0.96 do 0 intro. intros zenon_H129 zenon_Hff zenon_Hc5 zenon_H131 zenon_Hbc zenon_H12d zenon_H9b zenon_H9d zenon_H9f zenon_H186 zenon_H132 zenon_Hb5 zenon_H156 zenon_H178 zenon_H97 zenon_H269 zenon_H26a zenon_H26b zenon_H161 zenon_H174 zenon_H3a zenon_H172 zenon_H2d zenon_H15a zenon_H4f zenon_Hea zenon_He7 zenon_H100. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Ha. zenon_intro zenon_H12a. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H110. zenon_intro zenon_H12b. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.78/0.96 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H6c | zenon_intro zenon_H101 ]. % 0.78/0.96 apply (zenon_L506_); trivial. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Ha. zenon_intro zenon_H102. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc9. zenon_intro zenon_H103. % 0.78/0.96 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hc7. zenon_intro zenon_Hc8. % 0.78/0.96 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.96 apply (zenon_L507_); trivial. % 0.78/0.96 apply (zenon_L505_); trivial. % 0.78/0.96 apply (zenon_L508_); trivial. % 0.78/0.96 (* end of lemma zenon_L509_ *) % 0.78/0.96 assert (zenon_L510_ : (forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))) -> (ndr1_0) -> (~(c1_1 (a1983))) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))) -> (~(c0_1 (a1983))) -> (c3_1 (a1983)) -> False). % 0.78/0.96 do 0 intro. intros zenon_H153 zenon_Ha zenon_H19c zenon_H59 zenon_H19b zenon_H19d. % 0.78/0.96 generalize (zenon_H153 (a1983)). zenon_intro zenon_H278. % 0.78/0.96 apply (zenon_imply_s _ _ zenon_H278); [ zenon_intro zenon_H9 | zenon_intro zenon_H279 ]. % 0.78/0.96 exact (zenon_H9 zenon_Ha). % 0.78/0.96 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H27a ]. % 0.78/0.96 exact (zenon_H19c zenon_H1a3). % 0.78/0.96 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H27b | zenon_intro zenon_H1a2 ]. % 0.78/0.96 generalize (zenon_H59 (a1983)). zenon_intro zenon_H27c. % 0.78/0.96 apply (zenon_imply_s _ _ zenon_H27c); [ zenon_intro zenon_H9 | zenon_intro zenon_H27d ]. % 0.78/0.96 exact (zenon_H9 zenon_Ha). % 0.78/0.96 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H27e ]. % 0.78/0.96 exact (zenon_H19b zenon_H1a1). % 0.78/0.96 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H27f | zenon_intro zenon_H1a2 ]. % 0.78/0.96 exact (zenon_H27b zenon_H27f). % 0.78/0.96 exact (zenon_H1a2 zenon_H19d). % 0.78/0.96 exact (zenon_H1a2 zenon_H19d). % 0.78/0.96 (* end of lemma zenon_L510_ *) % 0.78/0.96 assert (zenon_L511_ : ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp27))) -> (c3_1 (a1983)) -> (~(c0_1 (a1983))) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))) -> (~(c1_1 (a1983))) -> (c0_1 (a1978)) -> (c2_1 (a1978)) -> (c1_1 (a1978)) -> (ndr1_0) -> (forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))) -> (~(hskp27)) -> False). % 0.78/0.96 do 0 intro. intros zenon_H1b1 zenon_H19d zenon_H19b zenon_H59 zenon_H19c zenon_H17a zenon_H17c zenon_H17b zenon_Ha zenon_Hd4 zenon_H3c. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H153 | zenon_intro zenon_H1b2 ]. % 0.78/0.96 apply (zenon_L510_); trivial. % 0.78/0.96 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H3e | zenon_intro zenon_H3d ]. % 0.78/0.96 apply (zenon_L156_); trivial. % 0.78/0.96 exact (zenon_H3c zenon_H3d). % 0.78/0.96 (* end of lemma zenon_L511_ *) % 0.78/0.96 assert (zenon_L512_ : (forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))) -> (ndr1_0) -> (forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9)))))) -> (~(c2_1 (a1973))) -> (c1_1 (a1973)) -> (c3_1 (a1973)) -> False). % 0.78/0.96 do 0 intro. intros zenon_H2e zenon_Ha zenon_Hab zenon_H269 zenon_H26a zenon_H26b. % 0.78/0.96 generalize (zenon_H2e (a1973)). zenon_intro zenon_H275. % 0.78/0.96 apply (zenon_imply_s _ _ zenon_H275); [ zenon_intro zenon_H9 | zenon_intro zenon_H276 ]. % 0.78/0.96 exact (zenon_H9 zenon_Ha). % 0.78/0.96 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H277 | zenon_intro zenon_H26e ]. % 0.78/0.96 generalize (zenon_Hab (a1973)). zenon_intro zenon_H280. % 0.78/0.96 apply (zenon_imply_s _ _ zenon_H280); [ zenon_intro zenon_H9 | zenon_intro zenon_H281 ]. % 0.78/0.96 exact (zenon_H9 zenon_Ha). % 0.78/0.96 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H26f | zenon_intro zenon_H282 ]. % 0.78/0.96 exact (zenon_H269 zenon_H26f). % 0.78/0.96 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H274 | zenon_intro zenon_H271 ]. % 0.78/0.96 exact (zenon_H274 zenon_H277). % 0.78/0.96 exact (zenon_H271 zenon_H26a). % 0.78/0.96 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H271 | zenon_intro zenon_H270 ]. % 0.78/0.97 exact (zenon_H271 zenon_H26a). % 0.78/0.97 exact (zenon_H270 zenon_H26b). % 0.78/0.97 (* end of lemma zenon_L512_ *) % 0.78/0.97 assert (zenon_L513_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (c2_1 (a1989)) -> (~(c3_1 (a1989))) -> (~(c0_1 (a1989))) -> (c3_1 (a1973)) -> (c1_1 (a1973)) -> (~(c2_1 (a1973))) -> (forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9)))))) -> (ndr1_0) -> (~(hskp13)) -> False). % 0.78/0.97 do 0 intro. intros zenon_H127 zenon_H11c zenon_H11b zenon_H11a zenon_H26b zenon_H26a zenon_H269 zenon_Hab zenon_Ha zenon_H15. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H119 | zenon_intro zenon_H128 ]. % 0.78/0.97 apply (zenon_L75_); trivial. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H2e | zenon_intro zenon_H16 ]. % 0.78/0.97 apply (zenon_L512_); trivial. % 0.78/0.97 exact (zenon_H15 zenon_H16). % 0.78/0.97 (* end of lemma zenon_L513_ *) % 0.78/0.97 assert (zenon_L514_ : ((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (c1_1 (a1985)) -> (~(c3_1 (a1985))) -> (~(c0_1 (a1985))) -> (~(hskp13)) -> (~(c2_1 (a1973))) -> (c1_1 (a1973)) -> (c3_1 (a1973)) -> (~(c0_1 (a1989))) -> (~(c3_1 (a1989))) -> (c2_1 (a1989)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> False). % 0.78/0.97 do 0 intro. intros zenon_H183 zenon_H1d6 zenon_H193 zenon_H192 zenon_H191 zenon_H15 zenon_H269 zenon_H26a zenon_H26b zenon_H11a zenon_H11b zenon_H11c zenon_H127. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_Ha. zenon_intro zenon_H184. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H17a. zenon_intro zenon_H185. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17b. zenon_intro zenon_H17c. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1c | zenon_intro zenon_H1d7 ]. % 0.78/0.97 apply (zenon_L131_); trivial. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_Hab | zenon_intro zenon_H1b ]. % 0.78/0.97 apply (zenon_L513_); trivial. % 0.78/0.97 apply (zenon_L114_); trivial. % 0.78/0.97 (* end of lemma zenon_L514_ *) % 0.78/0.97 assert (zenon_L515_ : ((ndr1_0)/\((c3_1 (a1983))/\((~(c0_1 (a1983)))/\(~(c1_1 (a1983)))))) -> ((~(hskp9))\/((ndr1_0)/\((c1_1 (a1985))/\((~(c0_1 (a1985)))/\(~(c3_1 (a1985))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> (~(c2_1 (a1973))) -> (c1_1 (a1973)) -> (c3_1 (a1973)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> (~(hskp4)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((hskp29)\/(hskp6))) -> (~(hskp6)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp9)\/(hskp11))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp27))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a1989))/\((~(c0_1 (a1989)))/\(~(c3_1 (a1989))))))) -> False). % 0.78/0.97 do 0 intro. intros zenon_H1ee zenon_H1b6 zenon_H1d6 zenon_H269 zenon_H26a zenon_H26b zenon_H15a zenon_H50 zenon_H4b zenon_H3a zenon_H1a4 zenon_H74 zenon_H67 zenon_H1b1 zenon_H9b zenon_H1a6 zenon_H186 zenon_Hc5 zenon_H127 zenon_H2d zenon_Hff zenon_H1a8. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Ha. zenon_intro zenon_H1ef. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H19d. zenon_intro zenon_H1f0. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H19b. zenon_intro zenon_H19c. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H65 | zenon_intro zenon_H1b8 ]. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H3c | zenon_intro zenon_H4a ]. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H176 | zenon_intro zenon_H183 ]. % 0.78/0.97 apply (zenon_L146_); trivial. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_Ha. zenon_intro zenon_H184. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H17a. zenon_intro zenon_H185. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17b. zenon_intro zenon_H17c. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H19a | zenon_intro zenon_H1a7 ]. % 0.78/0.97 apply (zenon_L145_); trivial. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H9c ]. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H59 | zenon_intro zenon_H68 ]. % 0.78/0.97 apply (zenon_L511_); trivial. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H66 | zenon_intro zenon_H49 ]. % 0.78/0.97 exact (zenon_H65 zenon_H66). % 0.78/0.97 exact (zenon_H48 zenon_H49). % 0.78/0.97 exact (zenon_H9b zenon_H9c). % 0.78/0.97 apply (zenon_L19_); trivial. % 0.78/0.97 apply (zenon_L152_); trivial. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha. zenon_intro zenon_H1b9. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H193. zenon_intro zenon_H1ba. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H191. zenon_intro zenon_H192. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H3c | zenon_intro zenon_H4a ]. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H176 | zenon_intro zenon_H183 ]. % 0.78/0.97 apply (zenon_L146_); trivial. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H183). zenon_intro zenon_Ha. zenon_intro zenon_H184. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H17a. zenon_intro zenon_H185. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H17b. zenon_intro zenon_H17c. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H19a | zenon_intro zenon_H1a7 ]. % 0.78/0.97 apply (zenon_L145_); trivial. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H9c ]. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H59 | zenon_intro zenon_H15b ]. % 0.78/0.97 apply (zenon_L511_); trivial. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1c | zenon_intro zenon_H134 ]. % 0.78/0.97 apply (zenon_L131_); trivial. % 0.78/0.97 apply (zenon_L499_); trivial. % 0.78/0.97 exact (zenon_H9b zenon_H9c). % 0.78/0.97 apply (zenon_L19_); trivial. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H11c. zenon_intro zenon_H190. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H11a. zenon_intro zenon_H11b. % 0.78/0.97 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H176 | zenon_intro zenon_H183 ]. % 0.78/0.97 apply (zenon_L146_); trivial. % 0.78/0.97 apply (zenon_L514_); trivial. % 0.78/0.97 apply (zenon_L150_); trivial. % 0.78/0.97 (* end of lemma zenon_L515_ *) % 0.78/0.97 assert (zenon_L516_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a2009))/\((~(c1_1 (a2009)))/\(~(c3_1 (a2009))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9)))))))) -> (~(c3_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c1_1 (a1969))) -> (~(hskp6)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((hskp23)\/(hskp6))) -> ((hskp23)\/((hskp5)\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp21))) -> (~(c3_1 (a1981))) -> (c1_1 (a1981)) -> (c0_1 (a1981)) -> (c3_1 (a1990)) -> (~(c2_1 (a1990))) -> (~(c1_1 (a1990))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (c3_1 (a1973)) -> (c1_1 (a1973)) -> (~(c2_1 (a1973))) -> (ndr1_0) -> (~(hskp13)) -> (~(hskp17)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp13)\/(hskp17))) -> False). % 0.78/0.97 do 0 intro. intros zenon_H4f zenon_H1e9 zenon_H264 zenon_H257 zenon_H256 zenon_H255 zenon_H74 zenon_H1e2 zenon_H9f zenon_H9d zenon_H9b zenon_H2d zenon_H1d4 zenon_H1c8 zenon_H1bc zenon_H1bb zenon_H110 zenon_H10f zenon_H10e zenon_H1d6 zenon_Hbc zenon_H161 zenon_H26b zenon_H26a zenon_H269 zenon_Ha zenon_H15 zenon_H2b zenon_H97. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H17 | zenon_intro zenon_H53 ]. % 0.78/0.97 apply (zenon_L502_); trivial. % 0.78/0.97 apply (zenon_L458_); trivial. % 0.78/0.97 (* end of lemma zenon_L516_ *) % 0.78/0.97 assert (zenon_L517_ : ((ndr1_0)/\((c0_1 (a1981))/\((c1_1 (a1981))/\(~(c3_1 (a1981)))))) -> ((~(hskp8))\/((ndr1_0)/\((c3_1 (a1983))/\((~(c0_1 (a1983)))/\(~(c1_1 (a1983))))))) -> ((~(hskp9))\/((ndr1_0)/\((c1_1 (a1985))/\((~(c0_1 (a1985)))/\(~(c3_1 (a1985))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((hskp29)\/(hskp6))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp9)\/(hskp11))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a1989))/\((~(c0_1 (a1989)))/\(~(c3_1 (a1989))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12))) -> (~(c3_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c1_1 (a1969))) -> (~(hskp5)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> (~(hskp4)) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp13)\/(hskp17))) -> (~(c2_1 (a1973))) -> (c1_1 (a1973)) -> (c3_1 (a1973)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp21))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((hskp23)\/(hskp6))) -> (~(hskp6)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a2009))/\((~(c1_1 (a2009)))/\(~(c3_1 (a2009))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> False). % 0.78/0.97 do 0 intro. intros zenon_H206 zenon_H207 zenon_H1b6 zenon_H15a zenon_H50 zenon_H4b zenon_H1a4 zenon_H67 zenon_H1b1 zenon_H1a6 zenon_H186 zenon_H127 zenon_H1a8 zenon_Hbc zenon_H25e zenon_H257 zenon_H256 zenon_H255 zenon_H9b zenon_H9f zenon_Hc5 zenon_H131 zenon_H12d zenon_H156 zenon_H132 zenon_H3a zenon_Hb5 zenon_H1ea zenon_H97 zenon_H269 zenon_H26a zenon_H26b zenon_H161 zenon_H1d6 zenon_H1d4 zenon_H2d zenon_H1e2 zenon_H74 zenon_H264 zenon_H1e9 zenon_H4f zenon_H172 zenon_Hff zenon_H12c. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_Ha. zenon_intro zenon_H208. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1bb. zenon_intro zenon_H209. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H9d | zenon_intro zenon_H1ee ]. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.97 apply (zenon_L446_); trivial. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Ha. zenon_intro zenon_H12a. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H110. zenon_intro zenon_H12b. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.78/0.97 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.97 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.97 apply (zenon_L516_); trivial. % 0.78/0.97 apply (zenon_L185_); trivial. % 0.78/0.97 apply (zenon_L195_); trivial. % 0.78/0.97 apply (zenon_L515_); trivial. % 0.78/0.97 (* end of lemma zenon_L517_ *) % 0.78/0.97 assert (zenon_L518_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (c2_1 (a1989)) -> (~(c3_1 (a1989))) -> (~(c0_1 (a1989))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp13)\/(hskp17))) -> (~(hskp13)) -> (ndr1_0) -> (~(c2_1 (a1973))) -> (c1_1 (a1973)) -> (c3_1 (a1973)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> (~(hskp14)) -> (~(c2_1 (a1990))) -> (c3_1 (a1990)) -> (~(c1_1 (a1990))) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> False). % 0.78/0.97 do 0 intro. intros zenon_Hc5 zenon_H127 zenon_H11c zenon_H11b zenon_H11a zenon_H97 zenon_H15 zenon_Ha zenon_H269 zenon_H26a zenon_H26b zenon_H161 zenon_H174 zenon_H6c zenon_H10f zenon_H110 zenon_H10e zenon_H3a zenon_H172 zenon_H2d zenon_H15a zenon_H4f. % 0.78/0.97 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.97 apply (zenon_L503_); trivial. % 0.78/0.97 apply (zenon_L77_); trivial. % 0.78/0.97 (* end of lemma zenon_L518_ *) % 0.78/0.97 assert (zenon_L519_ : ((ndr1_0)/\((c1_1 (a1992))/\((~(c0_1 (a1992)))/\(~(c2_1 (a1992)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (c2_1 (a1989)) -> (~(c3_1 (a1989))) -> (~(c0_1 (a1989))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp13)\/(hskp17))) -> (~(hskp13)) -> (~(c2_1 (a1973))) -> (c1_1 (a1973)) -> (c3_1 (a1973)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> (~(hskp7)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/(hskp7))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> False). % 0.78/0.97 do 0 intro. intros zenon_H101 zenon_Hc5 zenon_H127 zenon_H11c zenon_H11b zenon_H11a zenon_H97 zenon_H15 zenon_H269 zenon_H26a zenon_H26b zenon_H161 zenon_H172 zenon_H3a zenon_He7 zenon_Hea zenon_H4f. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Ha. zenon_intro zenon_H102. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc9. zenon_intro zenon_H103. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hc7. zenon_intro zenon_Hc8. % 0.78/0.97 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.97 apply (zenon_L507_); trivial. % 0.78/0.97 apply (zenon_L77_); trivial. % 0.78/0.97 (* end of lemma zenon_L519_ *) % 0.78/0.97 assert (zenon_L520_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a1992))/\((~(c0_1 (a1992)))/\(~(c2_1 (a1992))))))) -> (~(hskp7)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/(hskp7))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> (~(c1_1 (a1990))) -> (c3_1 (a1990)) -> (~(c2_1 (a1990))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (c3_1 (a1973)) -> (c1_1 (a1973)) -> (~(c2_1 (a1973))) -> (ndr1_0) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp13)\/(hskp17))) -> (~(c0_1 (a1989))) -> (~(c3_1 (a1989))) -> (c2_1 (a1989)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> False). % 0.78/0.97 do 0 intro. intros zenon_H100 zenon_He7 zenon_Hea zenon_H4f zenon_H15a zenon_H2d zenon_H172 zenon_H3a zenon_H10e zenon_H110 zenon_H10f zenon_H174 zenon_H161 zenon_H26b zenon_H26a zenon_H269 zenon_Ha zenon_H15 zenon_H97 zenon_H11a zenon_H11b zenon_H11c zenon_H127 zenon_Hc5. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H6c | zenon_intro zenon_H101 ]. % 0.78/0.97 apply (zenon_L518_); trivial. % 0.78/0.97 apply (zenon_L519_); trivial. % 0.78/0.97 (* end of lemma zenon_L520_ *) % 0.78/0.97 assert (zenon_L521_ : ((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> (~(hskp1)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (c2_1 (a1989)) -> (~(c3_1 (a1989))) -> (~(c0_1 (a1989))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp13)\/(hskp17))) -> (~(c2_1 (a1973))) -> (c1_1 (a1973)) -> (c3_1 (a1973)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a1992))/\((~(c0_1 (a1992)))/\(~(c2_1 (a1992))))))) -> False). % 0.78/0.97 do 0 intro. intros zenon_H129 zenon_Hff zenon_H131 zenon_Hbc zenon_H12d zenon_H9b zenon_H9d zenon_H9f zenon_H186 zenon_H132 zenon_Hb5 zenon_H156 zenon_H178 zenon_Hc5 zenon_H127 zenon_H11c zenon_H11b zenon_H11a zenon_H97 zenon_H269 zenon_H26a zenon_H26b zenon_H161 zenon_H174 zenon_H3a zenon_H172 zenon_H2d zenon_H15a zenon_H4f zenon_Hea zenon_He7 zenon_H100. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Ha. zenon_intro zenon_H12a. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H110. zenon_intro zenon_H12b. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.78/0.97 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.97 apply (zenon_L520_); trivial. % 0.78/0.97 apply (zenon_L508_); trivial. % 0.78/0.97 (* end of lemma zenon_L521_ *) % 0.78/0.97 assert (zenon_L522_ : ((ndr1_0)/\((c2_1 (a1989))/\((~(c0_1 (a1989)))/\(~(c3_1 (a1989)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> (~(hskp1)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp13)\/(hskp17))) -> (~(c2_1 (a1973))) -> (c1_1 (a1973)) -> (c3_1 (a1973)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a1992))/\((~(c0_1 (a1992)))/\(~(c2_1 (a1992))))))) -> ((hskp23)\/((hskp5)\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> (~(c1_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c3_1 (a1969))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> False). % 0.78/0.97 do 0 intro. intros zenon_H18e zenon_H12c zenon_Hff zenon_H131 zenon_H12d zenon_H186 zenon_H132 zenon_Hb5 zenon_H156 zenon_H178 zenon_Hc5 zenon_H127 zenon_H97 zenon_H269 zenon_H26a zenon_H26b zenon_H161 zenon_H174 zenon_H3a zenon_H172 zenon_H2d zenon_H15a zenon_H4f zenon_Hea zenon_He7 zenon_H100 zenon_H9f zenon_H9d zenon_H9b zenon_H255 zenon_H256 zenon_H257 zenon_H25e zenon_Hbc. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H11c. zenon_intro zenon_H190. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H11a. zenon_intro zenon_H11b. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.97 apply (zenon_L446_); trivial. % 0.78/0.97 apply (zenon_L521_); trivial. % 0.78/0.97 (* end of lemma zenon_L522_ *) % 0.78/0.97 assert (zenon_L523_ : ((ndr1_0)/\((c1_1 (a1985))/\((~(c0_1 (a1985)))/\(~(c3_1 (a1985)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> (c3_1 (a1979)) -> (~(c2_1 (a1979))) -> (~(c0_1 (a1979))) -> (~(c2_1 (a1973))) -> (c1_1 (a1973)) -> (c3_1 (a1973)) -> False). % 0.78/0.97 do 0 intro. intros zenon_H1b8 zenon_H15a zenon_H1f3 zenon_H1f2 zenon_H1f1 zenon_H269 zenon_H26a zenon_H26b. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha. zenon_intro zenon_H1b9. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H193. zenon_intro zenon_H1ba. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H191. zenon_intro zenon_H192. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H59 | zenon_intro zenon_H15b ]. % 0.78/0.97 apply (zenon_L209_); trivial. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1c | zenon_intro zenon_H134 ]. % 0.78/0.97 apply (zenon_L131_); trivial. % 0.78/0.97 apply (zenon_L499_); trivial. % 0.78/0.97 (* end of lemma zenon_L523_ *) % 0.78/0.97 assert (zenon_L524_ : ((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> (c3_1 (a1979)) -> (~(c2_1 (a1979))) -> (~(c0_1 (a1979))) -> (~(hskp17)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(c2_1 (a1973))) -> (c1_1 (a1973)) -> (c3_1 (a1973)) -> False). % 0.78/0.97 do 0 intro. intros zenon_H53 zenon_H15a zenon_H1f3 zenon_H1f2 zenon_H1f1 zenon_H2b zenon_H2d zenon_H269 zenon_H26a zenon_H26b. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_Ha. zenon_intro zenon_H54. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H1e. zenon_intro zenon_H55. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H1f. zenon_intro zenon_H1d. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H59 | zenon_intro zenon_H15b ]. % 0.78/0.97 apply (zenon_L209_); trivial. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1c | zenon_intro zenon_H134 ]. % 0.78/0.97 apply (zenon_L12_); trivial. % 0.78/0.97 apply (zenon_L499_); trivial. % 0.78/0.97 (* end of lemma zenon_L524_ *) % 0.78/0.97 assert (zenon_L525_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> (~(c2_1 (a1973))) -> (c1_1 (a1973)) -> (c3_1 (a1973)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (c3_1 (a1979)) -> (~(c2_1 (a1979))) -> (~(c0_1 (a1979))) -> (ndr1_0) -> (~(hskp17)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> False). % 0.78/0.97 do 0 intro. intros zenon_H4f zenon_H15a zenon_H178 zenon_H269 zenon_H26a zenon_H26b zenon_H161 zenon_H1f3 zenon_H1f2 zenon_H1f1 zenon_Ha zenon_H2b zenon_H2d zenon_H186. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H17 | zenon_intro zenon_H53 ]. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H176 | zenon_intro zenon_H183 ]. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H59 | zenon_intro zenon_H179 ]. % 0.78/0.97 apply (zenon_L209_); trivial. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H2e | zenon_intro zenon_H177 ]. % 0.78/0.97 apply (zenon_L501_); trivial. % 0.78/0.97 exact (zenon_H176 zenon_H177). % 0.78/0.97 apply (zenon_L147_); trivial. % 0.78/0.97 apply (zenon_L524_); trivial. % 0.78/0.97 (* end of lemma zenon_L525_ *) % 0.78/0.97 assert (zenon_L526_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp13)) -> (c2_1 (a1989)) -> (~(c3_1 (a1989))) -> (~(c0_1 (a1989))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (ndr1_0) -> (~(c0_1 (a1979))) -> (~(c2_1 (a1979))) -> (c3_1 (a1979)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (c3_1 (a1973)) -> (c1_1 (a1973)) -> (~(c2_1 (a1973))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> False). % 0.78/0.97 do 0 intro. intros zenon_Hc5 zenon_H127 zenon_H15 zenon_H11c zenon_H11b zenon_H11a zenon_H186 zenon_H2d zenon_Ha zenon_H1f1 zenon_H1f2 zenon_H1f3 zenon_H161 zenon_H26b zenon_H26a zenon_H269 zenon_H178 zenon_H15a zenon_H4f. % 0.78/0.97 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.97 apply (zenon_L525_); trivial. % 0.78/0.97 apply (zenon_L77_); trivial. % 0.78/0.97 (* end of lemma zenon_L526_ *) % 0.78/0.97 assert (zenon_L527_ : ((ndr1_0)/\((c3_1 (a1983))/\((~(c0_1 (a1983)))/\(~(c1_1 (a1983)))))) -> ((~(hskp9))\/((ndr1_0)/\((c1_1 (a1985))/\((~(c0_1 (a1985)))/\(~(c3_1 (a1985))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp9)\/(hskp11))) -> (c3_1 (a1979)) -> (~(c2_1 (a1979))) -> (~(c0_1 (a1979))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (c3_1 (a1973)) -> (c1_1 (a1973)) -> (~(c2_1 (a1973))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a1989))/\((~(c0_1 (a1989)))/\(~(c3_1 (a1989))))))) -> False). % 0.78/0.97 do 0 intro. intros zenon_H1ee zenon_H1b6 zenon_H67 zenon_H1f3 zenon_H1f2 zenon_H1f1 zenon_Hc5 zenon_H127 zenon_H186 zenon_H2d zenon_H161 zenon_H26b zenon_H26a zenon_H269 zenon_H178 zenon_H15a zenon_H4f zenon_H9b zenon_H1a6 zenon_Hff zenon_H1a8. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Ha. zenon_intro zenon_H1ef. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H19d. zenon_intro zenon_H1f0. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H19b. zenon_intro zenon_H19c. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H65 | zenon_intro zenon_H1b8 ]. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.97 apply (zenon_L210_); trivial. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H11c. zenon_intro zenon_H190. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H11a. zenon_intro zenon_H11b. % 0.78/0.97 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.97 apply (zenon_L526_); trivial. % 0.78/0.97 apply (zenon_L150_); trivial. % 0.78/0.97 apply (zenon_L523_); trivial. % 0.78/0.97 (* end of lemma zenon_L527_ *) % 0.78/0.97 assert (zenon_L528_ : ((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> (~(hskp1)) -> (~(c3_1 (a1981))) -> (c1_1 (a1981)) -> (c0_1 (a1981)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39)))))))) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> (~(c2_1 (a1973))) -> (c1_1 (a1973)) -> (c3_1 (a1973)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (c3_1 (a1979)) -> (~(c2_1 (a1979))) -> (~(c0_1 (a1979))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> (~(c0_1 (a1989))) -> (~(c3_1 (a1989))) -> (c2_1 (a1989)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> False). % 0.78/0.97 do 0 intro. intros zenon_H129 zenon_Hff zenon_H131 zenon_H16d zenon_H65 zenon_H156 zenon_H132 zenon_Hb5 zenon_H1c8 zenon_H1bc zenon_H1bb zenon_H1ea zenon_H3a zenon_H172 zenon_H4f zenon_H15a zenon_H178 zenon_H269 zenon_H26a zenon_H26b zenon_H161 zenon_H1f3 zenon_H1f2 zenon_H1f1 zenon_H2d zenon_H186 zenon_H11a zenon_H11b zenon_H11c zenon_H127 zenon_Hc5. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Ha. zenon_intro zenon_H12a. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H110. zenon_intro zenon_H12b. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.78/0.97 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.97 apply (zenon_L526_); trivial. % 0.78/0.97 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Ha. zenon_intro zenon_Hfd. % 0.78/0.97 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hf0. zenon_intro zenon_Hfe. % 0.78/0.97 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hf1. zenon_intro zenon_Hef. % 0.78/0.97 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.97 apply (zenon_L127_); trivial. % 0.78/0.97 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2. % 0.78/0.97 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc3. % 0.78/0.97 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H3 | zenon_intro zenon_H12e ]. % 0.78/0.97 apply (zenon_L184_); trivial. % 0.78/0.97 apply (zenon_L467_); trivial. % 0.78/0.97 (* end of lemma zenon_L528_ *) % 0.78/0.97 assert (zenon_L529_ : ((ndr1_0)/\((c0_1 (a1981))/\((c1_1 (a1981))/\(~(c3_1 (a1981)))))) -> ((~(hskp8))\/((ndr1_0)/\((c3_1 (a1983))/\((~(c0_1 (a1983)))/\(~(c1_1 (a1983))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a1989))/\((~(c0_1 (a1989)))/\(~(c3_1 (a1989))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp9))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp1)\/(hskp4))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39)))))))) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> (~(c2_1 (a1973))) -> (c1_1 (a1973)) -> (c3_1 (a1973)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((hskp23)\/((hskp5)\/(hskp8))) -> (~(hskp5)) -> (~(c1_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c3_1 (a1969))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> (~(c0_1 (a1979))) -> (~(c2_1 (a1979))) -> (c3_1 (a1979)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp9)\/(hskp11))) -> ((~(hskp9))\/((ndr1_0)/\((c1_1 (a1985))/\((~(c0_1 (a1985)))/\(~(c3_1 (a1985))))))) -> False). % 0.78/0.97 do 0 intro. intros zenon_H206 zenon_H207 zenon_H1a6 zenon_H1a8 zenon_H12c zenon_Hff zenon_H131 zenon_H16d zenon_H156 zenon_H132 zenon_Hb5 zenon_H1ea zenon_H3a zenon_H172 zenon_H4f zenon_H15a zenon_H178 zenon_H269 zenon_H26a zenon_H26b zenon_H161 zenon_H2d zenon_H186 zenon_H127 zenon_Hc5 zenon_H9f zenon_H9b zenon_H255 zenon_H256 zenon_H257 zenon_H25e zenon_Hbc zenon_H1f1 zenon_H1f2 zenon_H1f3 zenon_H67 zenon_H1b6. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_Ha. zenon_intro zenon_H208. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1bb. zenon_intro zenon_H209. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H9d | zenon_intro zenon_H1ee ]. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H65 | zenon_intro zenon_H1b8 ]. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.97 apply (zenon_L210_); trivial. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H11c. zenon_intro zenon_H190. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H11a. zenon_intro zenon_H11b. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.97 apply (zenon_L446_); trivial. % 0.78/0.97 apply (zenon_L528_); trivial. % 0.78/0.97 apply (zenon_L523_); trivial. % 0.78/0.97 apply (zenon_L527_); trivial. % 0.78/0.97 (* end of lemma zenon_L529_ *) % 0.78/0.97 assert (zenon_L530_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> (~(c2_1 (a1973))) -> (c1_1 (a1973)) -> (c3_1 (a1973)) -> (~(hskp20)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (ndr1_0) -> (~(c1_1 (a1975))) -> (~(c2_1 (a1975))) -> (c0_1 (a1975)) -> (~(hskp5)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> False). % 0.78/0.97 do 0 intro. intros zenon_H89 zenon_H283 zenon_H269 zenon_H26a zenon_H26b zenon_H17 zenon_H161 zenon_Ha zenon_H230 zenon_H231 zenon_H232 zenon_H9b zenon_H18b. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H72 | zenon_intro zenon_H8b ]. % 0.78/0.97 apply (zenon_L327_); trivial. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Ha. zenon_intro zenon_H8c. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H78. zenon_intro zenon_H8d. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H13e | zenon_intro zenon_H284 ]. % 0.78/0.97 apply (zenon_L317_); trivial. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H153 | zenon_intro zenon_H134 ]. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H134 | zenon_intro zenon_H162 ]. % 0.78/0.97 apply (zenon_L499_); trivial. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hdb | zenon_intro zenon_H18 ]. % 0.78/0.97 apply (zenon_L435_); trivial. % 0.78/0.97 exact (zenon_H17 zenon_H18). % 0.78/0.97 apply (zenon_L499_); trivial. % 0.78/0.97 (* end of lemma zenon_L530_ *) % 0.78/0.97 assert (zenon_L531_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((hskp14)\/(hskp10))) -> (~(hskp10)) -> (~(hskp14)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> (~(hskp5)) -> (c0_1 (a1975)) -> (~(c2_1 (a1975))) -> (~(c1_1 (a1975))) -> (ndr1_0) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (c3_1 (a1973)) -> (c1_1 (a1973)) -> (~(c2_1 (a1973))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> False). % 0.78/0.97 do 0 intro. intros zenon_H4f zenon_H70 zenon_H6e zenon_H6c zenon_H18b zenon_H9b zenon_H232 zenon_H231 zenon_H230 zenon_Ha zenon_H161 zenon_H26b zenon_H26a zenon_H269 zenon_H283 zenon_H89. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H17 | zenon_intro zenon_H53 ]. % 0.78/0.97 apply (zenon_L530_); trivial. % 0.78/0.97 apply (zenon_L28_); trivial. % 0.78/0.97 (* end of lemma zenon_L531_ *) % 0.78/0.97 assert (zenon_L532_ : ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp10))) -> (c2_1 (a2003)) -> (c1_1 (a2003)) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25)))))) -> (~(c3_1 (a2003))) -> (c3_1 (a2005)) -> (c2_1 (a2005)) -> (forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))) -> (c0_1 (a2005)) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.78/0.97 do 0 intro. intros zenon_He5 zenon_H1f zenon_H1e zenon_Hd5 zenon_H1d zenon_H7a zenon_H7b zenon_H153 zenon_H78 zenon_Ha zenon_H6e. % 0.78/0.97 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He6 ]. % 0.78/0.97 apply (zenon_L57_); trivial. % 0.78/0.97 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H6f ]. % 0.78/0.97 apply (zenon_L435_); trivial. % 0.78/0.97 exact (zenon_H6e zenon_H6f). % 0.78/0.97 (* end of lemma zenon_L532_ *) % 0.78/0.97 assert (zenon_L533_ : ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> (c0_1 (a1975)) -> (~(c2_1 (a1975))) -> (~(c1_1 (a1975))) -> (~(hskp10)) -> (c0_1 (a2005)) -> (c2_1 (a2005)) -> (c3_1 (a2005)) -> (~(c3_1 (a2003))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25)))))) -> (c1_1 (a2003)) -> (c2_1 (a2003)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp10))) -> (ndr1_0) -> (~(c2_1 (a1973))) -> (c1_1 (a1973)) -> (c3_1 (a1973)) -> False). % 0.78/0.97 do 0 intro. intros zenon_H283 zenon_H232 zenon_H231 zenon_H230 zenon_H6e zenon_H78 zenon_H7b zenon_H7a zenon_H1d zenon_Hd5 zenon_H1e zenon_H1f zenon_He5 zenon_Ha zenon_H269 zenon_H26a zenon_H26b. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H13e | zenon_intro zenon_H284 ]. % 0.78/0.97 apply (zenon_L317_); trivial. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H153 | zenon_intro zenon_H134 ]. % 0.78/0.97 apply (zenon_L532_); trivial. % 0.78/0.97 apply (zenon_L499_); trivial. % 0.78/0.97 (* end of lemma zenon_L533_ *) % 0.78/0.97 assert (zenon_L534_ : ((ndr1_0)/\((c1_1 (a1992))/\((~(c0_1 (a1992)))/\(~(c2_1 (a1992)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp10))) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> (~(hskp5)) -> (c0_1 (a1975)) -> (~(c2_1 (a1975))) -> (~(c1_1 (a1975))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (c3_1 (a1973)) -> (c1_1 (a1973)) -> (~(c2_1 (a1973))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> False). % 0.78/0.97 do 0 intro. intros zenon_H101 zenon_H4f zenon_Hea zenon_He7 zenon_He5 zenon_H6e zenon_H18b zenon_H9b zenon_H232 zenon_H231 zenon_H230 zenon_H161 zenon_H26b zenon_H26a zenon_H269 zenon_H283 zenon_H89. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Ha. zenon_intro zenon_H102. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc9. zenon_intro zenon_H103. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hc7. zenon_intro zenon_Hc8. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H17 | zenon_intro zenon_H53 ]. % 0.78/0.97 apply (zenon_L530_); trivial. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_Ha. zenon_intro zenon_H54. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H1e. zenon_intro zenon_H55. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H1f. zenon_intro zenon_H1d. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H72 | zenon_intro zenon_H8b ]. % 0.78/0.97 apply (zenon_L327_); trivial. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Ha. zenon_intro zenon_H8c. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H78. zenon_intro zenon_H8d. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.78/0.97 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hed ]. % 0.78/0.97 apply (zenon_L54_); trivial. % 0.78/0.97 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He8 ]. % 0.78/0.97 apply (zenon_L533_); trivial. % 0.78/0.97 exact (zenon_He7 zenon_He8). % 0.78/0.97 (* end of lemma zenon_L534_ *) % 0.78/0.97 assert (zenon_L535_ : ((ndr1_0)/\((c2_1 (a1987))/\((c3_1 (a1987))/\(~(c1_1 (a1987)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> (c0_1 (a1975)) -> (~(c2_1 (a1975))) -> (~(c1_1 (a1975))) -> (~(c2_1 (a1973))) -> (c1_1 (a1973)) -> (c3_1 (a1973)) -> False). % 0.78/0.97 do 0 intro. intros zenon_H1b3 zenon_H283 zenon_H232 zenon_H231 zenon_H230 zenon_H269 zenon_H26a zenon_H26b. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_Ha. zenon_intro zenon_H1b4. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H146. zenon_intro zenon_H1b5. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H147. zenon_intro zenon_H145. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H13e | zenon_intro zenon_H284 ]. % 0.78/0.97 apply (zenon_L317_); trivial. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H153 | zenon_intro zenon_H134 ]. % 0.78/0.97 apply (zenon_L90_); trivial. % 0.78/0.97 apply (zenon_L499_); trivial. % 0.78/0.97 (* end of lemma zenon_L535_ *) % 0.78/0.97 assert (zenon_L536_ : ((ndr1_0)/\((c0_1 (a1981))/\((c1_1 (a1981))/\(~(c3_1 (a1981)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a1987))/\((c3_1 (a1987))/\(~(c1_1 (a1987))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> (~(c2_1 (a1973))) -> (c1_1 (a1973)) -> (c3_1 (a1973)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (~(c1_1 (a1975))) -> (~(c2_1 (a1975))) -> (c0_1 (a1975)) -> (~(hskp5)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp10))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c3_1 X62)\/((~(c0_1 X62))\/(~(c1_1 X62))))))\/(hskp10))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> False). % 0.78/0.97 do 0 intro. intros zenon_H206 zenon_H1b7 zenon_H89 zenon_H283 zenon_H269 zenon_H26a zenon_H26b zenon_H161 zenon_H230 zenon_H231 zenon_H232 zenon_H9b zenon_H18b zenon_He5 zenon_H1cc zenon_H4f. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_Ha. zenon_intro zenon_H208. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1bb. zenon_intro zenon_H209. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H6e | zenon_intro zenon_H1b3 ]. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H17 | zenon_intro zenon_H53 ]. % 0.78/0.97 apply (zenon_L530_); trivial. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_Ha. zenon_intro zenon_H54. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H1e. zenon_intro zenon_H55. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H1f. zenon_intro zenon_H1d. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H72 | zenon_intro zenon_H8b ]. % 0.78/0.97 apply (zenon_L327_); trivial. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Ha. zenon_intro zenon_H8c. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H78. zenon_intro zenon_H8d. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H1cd ]. % 0.78/0.97 apply (zenon_L533_); trivial. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H6f ]. % 0.78/0.97 apply (zenon_L165_); trivial. % 0.78/0.97 exact (zenon_H6e zenon_H6f). % 0.78/0.97 apply (zenon_L535_); trivial. % 0.78/0.97 (* end of lemma zenon_L536_ *) % 0.78/0.97 assert (zenon_L537_ : ((~(hskp7))\/((ndr1_0)/\((c0_1 (a1981))/\((c1_1 (a1981))/\(~(c3_1 (a1981))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c3_1 X62)\/((~(c0_1 X62))\/(~(c1_1 X62))))))\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a1992))/\((~(c0_1 (a1992)))/\(~(c2_1 (a1992))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/(hskp7))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> (~(c2_1 (a1973))) -> (c1_1 (a1973)) -> (c3_1 (a1973)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (ndr1_0) -> (~(c1_1 (a1975))) -> (~(c2_1 (a1975))) -> (c0_1 (a1975)) -> (~(hskp5)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((hskp14)\/(hskp10))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a1987))/\((c3_1 (a1987))/\(~(c1_1 (a1987))))))) -> False). % 0.78/0.97 do 0 intro. intros zenon_H285 zenon_H1cc zenon_H100 zenon_Hea zenon_He5 zenon_H89 zenon_H283 zenon_H269 zenon_H26a zenon_H26b zenon_H161 zenon_Ha zenon_H230 zenon_H231 zenon_H232 zenon_H9b zenon_H18b zenon_H70 zenon_H4f zenon_H1b7. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_He7 | zenon_intro zenon_H206 ]. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H6e | zenon_intro zenon_H1b3 ]. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H6c | zenon_intro zenon_H101 ]. % 0.78/0.97 apply (zenon_L531_); trivial. % 0.78/0.97 apply (zenon_L534_); trivial. % 0.78/0.97 apply (zenon_L535_); trivial. % 0.78/0.97 apply (zenon_L536_); trivial. % 0.78/0.97 (* end of lemma zenon_L537_ *) % 0.78/0.97 assert (zenon_L538_ : ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12))) -> (~(c2_1 (a1977))) -> (c1_1 (a1977)) -> (~(c3_1 (a1977))) -> (~(c1_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c3_1 (a1969))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12))) -> (c3_1 (a1973)) -> (c1_1 (a1973)) -> (~(c2_1 (a1973))) -> (forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9)))))) -> (ndr1_0) -> (~(hskp12)) -> False). % 0.78/0.97 do 0 intro. intros zenon_H51 zenon_H20a zenon_H20d zenon_H20c zenon_H255 zenon_H256 zenon_H257 zenon_H25e zenon_H26b zenon_H26a zenon_H269 zenon_Hab zenon_Ha zenon_H38. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H1c | zenon_intro zenon_H57 ]. % 0.78/0.97 apply (zenon_L480_); trivial. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H2e | zenon_intro zenon_H39 ]. % 0.78/0.97 apply (zenon_L512_); trivial. % 0.78/0.97 exact (zenon_H38 zenon_H39). % 0.78/0.97 (* end of lemma zenon_L538_ *) % 0.78/0.97 assert (zenon_L539_ : ((ndr1_0)/\((c1_1 (a1977))/\((~(c2_1 (a1977)))/\(~(c3_1 (a1977)))))) -> ((~(hskp6))\/((ndr1_0)/\((c3_1 (a1979))/\((~(c0_1 (a1979)))/\(~(c2_1 (a1979))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12))) -> (~(c2_1 (a1973))) -> (c1_1 (a1973)) -> (c3_1 (a1973)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12))) -> (~(c3_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c1_1 (a1969))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp21))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((hskp23)\/(hskp6))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a2009))/\((~(c1_1 (a2009)))/\(~(c3_1 (a2009))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> False). % 0.78/0.97 do 0 intro. intros zenon_H266 zenon_H22f zenon_H1ea zenon_H25e zenon_H269 zenon_H26a zenon_H26b zenon_H51 zenon_H257 zenon_H256 zenon_H255 zenon_H1d4 zenon_H1e2 zenon_H264 zenon_Hbc zenon_H1e9 zenon_H12c. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H266). zenon_intro zenon_Ha. zenon_intro zenon_H267. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H267). zenon_intro zenon_H20d. zenon_intro zenon_H268. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H268). zenon_intro zenon_H20a. zenon_intro zenon_H20c. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H74 | zenon_intro zenon_H22c ]. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H254 | zenon_intro zenon_H25f ]. % 0.78/0.97 apply (zenon_L444_); trivial. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_Hab | zenon_intro zenon_H39 ]. % 0.78/0.97 apply (zenon_L538_); trivial. % 0.78/0.97 exact (zenon_H38 zenon_H39). % 0.78/0.97 apply (zenon_L479_); trivial. % 0.78/0.97 apply (zenon_L483_); trivial. % 0.78/0.97 (* end of lemma zenon_L539_ *) % 0.78/0.97 assert (zenon_L540_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c1_1 (a1969))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((hskp14)\/(hskp10))) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (~(c0_1 (a1989))) -> (~(c3_1 (a1989))) -> (c2_1 (a1989)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp14)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> (~(hskp13)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> False). % 0.78/0.97 do 0 intro. intros zenon_H18d zenon_H262 zenon_H260 zenon_H257 zenon_H256 zenon_H255 zenon_H131 zenon_Hbc zenon_H12d zenon_H9b zenon_H9d zenon_H9f zenon_H7 zenon_H4f zenon_H70 zenon_H6e zenon_H18b zenon_H161 zenon_H11a zenon_H11b zenon_H11c zenon_H2d zenon_H6c zenon_H174 zenon_H89 zenon_H15 zenon_H127 zenon_Hc5 zenon_H187. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.78/0.97 apply (zenon_L84_); trivial. % 0.78/0.97 apply (zenon_L391_); trivial. % 0.78/0.97 apply (zenon_L449_); trivial. % 0.78/0.97 (* end of lemma zenon_L540_ *) % 0.78/0.97 assert (zenon_L541_ : ((ndr1_0)/\((c1_1 (a1992))/\((~(c0_1 (a1992)))/\(~(c2_1 (a1992)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c1_1 (a1969))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (~(c1_1 (a1971))) -> (c0_1 (a1971)) -> (c2_1 (a1971)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> (~(c0_1 (a1989))) -> (~(c3_1 (a1989))) -> (c2_1 (a1989)) -> (~(hskp13)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> False). % 0.78/0.97 do 0 intro. intros zenon_H101 zenon_H18d zenon_H262 zenon_H260 zenon_H257 zenon_H256 zenon_H255 zenon_H131 zenon_Hbc zenon_H12d zenon_H9b zenon_H9d zenon_H9f zenon_H7 zenon_H4f zenon_Hea zenon_He7 zenon_H3a zenon_H172 zenon_H18b zenon_H161 zenon_H239 zenon_H23a zenon_H23b zenon_H2d zenon_H157 zenon_H89 zenon_H11a zenon_H11b zenon_H11c zenon_H15 zenon_H127 zenon_Hc5 zenon_H187. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Ha. zenon_intro zenon_H102. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc9. zenon_intro zenon_H103. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hc7. zenon_intro zenon_Hc8. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.97 apply (zenon_L350_); trivial. % 0.78/0.97 apply (zenon_L449_); trivial. % 0.78/0.97 (* end of lemma zenon_L541_ *) % 0.78/0.97 assert (zenon_L542_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a1992))/\((~(c0_1 (a1992)))/\(~(c2_1 (a1992))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> (~(c1_1 (a1971))) -> (c0_1 (a1971)) -> (c2_1 (a1971)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp13)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (c2_1 (a1989)) -> (~(c3_1 (a1989))) -> (~(c0_1 (a1989))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> (~(hskp10)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((hskp14)\/(hskp10))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> ((hskp23)\/((hskp5)\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> (~(c1_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c3_1 (a1969))) -> (~(hskp2)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp2))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> False). % 0.78/0.97 do 0 intro. intros zenon_H100 zenon_Hea zenon_He7 zenon_H3a zenon_H172 zenon_H239 zenon_H23a zenon_H23b zenon_H157 zenon_H187 zenon_Hc5 zenon_H127 zenon_H15 zenon_H89 zenon_H174 zenon_H2d zenon_H11c zenon_H11b zenon_H11a zenon_H161 zenon_H18b zenon_H6e zenon_H70 zenon_H4f zenon_H7 zenon_H9f zenon_H9d zenon_H9b zenon_H12d zenon_Hbc zenon_H131 zenon_H255 zenon_H256 zenon_H257 zenon_H260 zenon_H262 zenon_H18d. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H6c | zenon_intro zenon_H101 ]. % 0.78/0.97 apply (zenon_L540_); trivial. % 0.78/0.97 apply (zenon_L541_); trivial. % 0.78/0.97 (* end of lemma zenon_L542_ *) % 0.78/0.97 assert (zenon_L543_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp8))) -> (~(hskp9)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp9))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (c3_1 (a1987)) -> (c2_1 (a1987)) -> (~(c1_1 (a1987))) -> (c2_1 (a1971)) -> (c0_1 (a1971)) -> (~(c1_1 (a1971))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> (~(c1_1 (a1990))) -> (c3_1 (a1990)) -> (~(c2_1 (a1990))) -> (~(hskp14)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> (~(hskp6)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> (~(hskp11)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> (~(hskp15)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> False). % 0.78/0.97 do 0 intro. intros zenon_H187 zenon_Hc5 zenon_H156 zenon_H244 zenon_H65 zenon_H16d zenon_H157 zenon_H147 zenon_H146 zenon_H145 zenon_H23b zenon_H23a zenon_H239 zenon_H161 zenon_H89 zenon_H15a zenon_H2d zenon_H172 zenon_H3a zenon_H10e zenon_H110 zenon_H10f zenon_H6c zenon_H174 zenon_H74 zenon_H76 zenon_H48 zenon_H4b zenon_H50 zenon_H4f zenon_H7 zenon_H5 zenon_H9f zenon_H9d zenon_H9b zenon_H12d zenon_Hbc zenon_H131. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.78/0.97 apply (zenon_L84_); trivial. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Ha. zenon_intro zenon_H189. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H13f. zenon_intro zenon_H18a. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.78/0.97 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.97 apply (zenon_L372_); trivial. % 0.78/0.97 apply (zenon_L354_); trivial. % 0.78/0.97 (* end of lemma zenon_L543_ *) % 0.78/0.97 assert (zenon_L544_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c1_1 (a1969))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> (~(hskp11)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> (~(hskp6)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> (~(hskp14)) -> (~(c2_1 (a1990))) -> (c3_1 (a1990)) -> (~(c1_1 (a1990))) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (~(c1_1 (a1971))) -> (c0_1 (a1971)) -> (c2_1 (a1971)) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp9))) -> (~(hskp9)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp8))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> False). % 0.78/0.97 do 0 intro. intros zenon_H18d zenon_H262 zenon_H260 zenon_H257 zenon_H256 zenon_H255 zenon_H131 zenon_Hbc zenon_H12d zenon_H9b zenon_H9d zenon_H9f zenon_H7 zenon_H4f zenon_H50 zenon_H4b zenon_H48 zenon_H76 zenon_H74 zenon_H174 zenon_H6c zenon_H10f zenon_H110 zenon_H10e zenon_H3a zenon_H172 zenon_H2d zenon_H15a zenon_H89 zenon_H161 zenon_H239 zenon_H23a zenon_H23b zenon_H145 zenon_H146 zenon_H147 zenon_H157 zenon_H16d zenon_H65 zenon_H244 zenon_H156 zenon_Hc5 zenon_H187. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.97 apply (zenon_L543_); trivial. % 0.78/0.97 apply (zenon_L449_); trivial. % 0.78/0.97 (* end of lemma zenon_L544_ *) % 0.78/0.97 assert (zenon_L545_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> (~(hskp17)) -> (~(hskp4)) -> (~(c1_1 (a1990))) -> (c3_1 (a1990)) -> (~(c2_1 (a1990))) -> (~(hskp14)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (c0_1 (a1996)) -> (c3_1 (a1996)) -> (~(c2_1 (a1996))) -> (ndr1_0) -> (~(c1_1 (a1971))) -> (c0_1 (a1971)) -> (c2_1 (a1971)) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> False). % 0.78/0.97 do 0 intro. intros zenon_H4f zenon_H15a zenon_H2d zenon_H172 zenon_H2b zenon_H3a zenon_H10e zenon_H110 zenon_H10f zenon_H6c zenon_H174 zenon_H161 zenon_H13f zenon_H137 zenon_H135 zenon_Ha zenon_H239 zenon_H23a zenon_H23b zenon_H145 zenon_H146 zenon_H147 zenon_H157. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H17 | zenon_intro zenon_H53 ]. % 0.78/0.97 apply (zenon_L359_); trivial. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_Ha. zenon_intro zenon_H54. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H1e. zenon_intro zenon_H55. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H1f. zenon_intro zenon_H1d. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H59 | zenon_intro zenon_H15b ]. % 0.78/0.97 apply (zenon_L109_); trivial. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1c | zenon_intro zenon_H134 ]. % 0.78/0.97 apply (zenon_L12_); trivial. % 0.78/0.97 apply (zenon_L373_); trivial. % 0.78/0.97 (* end of lemma zenon_L545_ *) % 0.78/0.97 assert (zenon_L546_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c1_1 (a1969))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> (~(c1_1 (a1990))) -> (c3_1 (a1990)) -> (~(c2_1 (a1990))) -> (~(hskp14)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (~(c1_1 (a1971))) -> (c0_1 (a1971)) -> (c2_1 (a1971)) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (~(c0_1 (a1989))) -> (~(c3_1 (a1989))) -> (c2_1 (a1989)) -> (~(hskp13)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> False). % 0.78/0.97 do 0 intro. intros zenon_H18d zenon_H262 zenon_H260 zenon_H257 zenon_H256 zenon_H255 zenon_H131 zenon_Hbc zenon_H12d zenon_H9b zenon_H9d zenon_H9f zenon_H7 zenon_H4f zenon_H15a zenon_H2d zenon_H172 zenon_H3a zenon_H10e zenon_H110 zenon_H10f zenon_H6c zenon_H174 zenon_H161 zenon_H239 zenon_H23a zenon_H23b zenon_H145 zenon_H146 zenon_H147 zenon_H157 zenon_H11a zenon_H11b zenon_H11c zenon_H15 zenon_H127 zenon_Hc5 zenon_H187. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.78/0.97 apply (zenon_L84_); trivial. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Ha. zenon_intro zenon_H189. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H13f. zenon_intro zenon_H18a. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.78/0.97 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.97 apply (zenon_L545_); trivial. % 0.78/0.97 apply (zenon_L77_); trivial. % 0.78/0.97 apply (zenon_L449_); trivial. % 0.78/0.97 (* end of lemma zenon_L546_ *) % 0.78/0.97 assert (zenon_L547_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a1992))/\((~(c0_1 (a1992)))/\(~(c2_1 (a1992))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp13)) -> (c2_1 (a1989)) -> (~(c3_1 (a1989))) -> (~(c0_1 (a1989))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (c3_1 (a1987)) -> (c2_1 (a1987)) -> (~(c1_1 (a1987))) -> (c2_1 (a1971)) -> (c0_1 (a1971)) -> (~(c1_1 (a1971))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> (~(c2_1 (a1990))) -> (c3_1 (a1990)) -> (~(c1_1 (a1990))) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> ((hskp23)\/((hskp5)\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> (~(c1_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c3_1 (a1969))) -> (~(hskp2)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp2))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> False). % 0.78/0.97 do 0 intro. intros zenon_H100 zenon_Hea zenon_He7 zenon_H18b zenon_H89 zenon_H187 zenon_Hc5 zenon_H127 zenon_H15 zenon_H11c zenon_H11b zenon_H11a zenon_H157 zenon_H147 zenon_H146 zenon_H145 zenon_H23b zenon_H23a zenon_H239 zenon_H161 zenon_H174 zenon_H10f zenon_H110 zenon_H10e zenon_H3a zenon_H172 zenon_H2d zenon_H15a zenon_H4f zenon_H7 zenon_H9f zenon_H9d zenon_H9b zenon_H12d zenon_Hbc zenon_H131 zenon_H255 zenon_H256 zenon_H257 zenon_H260 zenon_H262 zenon_H18d. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H6c | zenon_intro zenon_H101 ]. % 0.78/0.97 apply (zenon_L546_); trivial. % 0.78/0.97 apply (zenon_L541_); trivial. % 0.78/0.97 (* end of lemma zenon_L547_ *) % 0.78/0.97 assert (zenon_L548_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> (c2_1 (a1989)) -> (~(c3_1 (a1989))) -> (~(c0_1 (a1989))) -> (~(c2_1 (a1990))) -> (c3_1 (a1990)) -> (~(c1_1 (a1990))) -> (ndr1_0) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))) -> (~(hskp14)) -> False). % 0.78/0.97 do 0 intro. intros zenon_H174 zenon_H11c zenon_H11b zenon_H11a zenon_H10f zenon_H110 zenon_H10e zenon_Ha zenon_H59 zenon_H6c. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H119 | zenon_intro zenon_H175 ]. % 0.78/0.97 apply (zenon_L75_); trivial. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H79 | zenon_intro zenon_H6d ]. % 0.78/0.97 apply (zenon_L103_); trivial. % 0.78/0.97 exact (zenon_H6c zenon_H6d). % 0.78/0.97 (* end of lemma zenon_L548_ *) % 0.78/0.97 assert (zenon_L549_ : ((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> (~(c1_1 (a1990))) -> (c3_1 (a1990)) -> (~(c2_1 (a1990))) -> (c1_1 (a1985)) -> (~(c3_1 (a1985))) -> (~(c0_1 (a1985))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> (c2_1 (a1989)) -> (~(c3_1 (a1989))) -> (~(c0_1 (a1989))) -> (~(hskp14)) -> False). % 0.78/0.97 do 0 intro. intros zenon_H188 zenon_H15a zenon_H10e zenon_H110 zenon_H10f zenon_H193 zenon_H192 zenon_H191 zenon_H174 zenon_H11c zenon_H11b zenon_H11a zenon_H6c. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Ha. zenon_intro zenon_H189. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H13f. zenon_intro zenon_H18a. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H59 | zenon_intro zenon_H15b ]. % 0.78/0.97 apply (zenon_L548_); trivial. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1c | zenon_intro zenon_H134 ]. % 0.78/0.97 apply (zenon_L131_); trivial. % 0.78/0.97 apply (zenon_L221_); trivial. % 0.78/0.97 (* end of lemma zenon_L549_ *) % 0.78/0.97 assert (zenon_L550_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c1_1 (a1969))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> (~(hskp14)) -> (~(c2_1 (a1990))) -> (c3_1 (a1990)) -> (~(c1_1 (a1990))) -> (c2_1 (a1989)) -> (~(c3_1 (a1989))) -> (~(c0_1 (a1989))) -> (~(c0_1 (a1985))) -> (~(c3_1 (a1985))) -> (c1_1 (a1985)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> False). % 0.78/0.97 do 0 intro. intros zenon_H18d zenon_H262 zenon_H260 zenon_H257 zenon_H256 zenon_H255 zenon_H131 zenon_Hbc zenon_H12d zenon_H9b zenon_H9d zenon_H9f zenon_H7 zenon_H174 zenon_H6c zenon_H10f zenon_H110 zenon_H10e zenon_H11c zenon_H11b zenon_H11a zenon_H191 zenon_H192 zenon_H193 zenon_H15a zenon_H187. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.78/0.97 apply (zenon_L84_); trivial. % 0.78/0.97 apply (zenon_L549_); trivial. % 0.78/0.97 apply (zenon_L449_); trivial. % 0.78/0.97 (* end of lemma zenon_L550_ *) % 0.78/0.97 assert (zenon_L551_ : ((ndr1_0)/\((c0_1 (a1972))/\((c1_1 (a1972))/\(c3_1 (a1972))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp10))) -> (c2_1 (a1991)) -> (c0_1 (a1991)) -> (~(c3_1 (a1991))) -> (~(hskp10)) -> False). % 0.78/0.97 do 0 intro. intros zenon_He9 zenon_He5 zenon_Hf1 zenon_Hf0 zenon_Hef zenon_H6e. % 0.78/0.97 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.78/0.97 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_Hdc. zenon_intro zenon_Hec. % 0.78/0.97 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hdd. zenon_intro zenon_Hde. % 0.78/0.97 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He6 ]. % 0.78/0.97 apply (zenon_L65_); trivial. % 0.78/0.97 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hdb | zenon_intro zenon_H6f ]. % 0.78/0.97 apply (zenon_L58_); trivial. % 0.78/0.97 exact (zenon_H6e zenon_H6f). % 0.78/0.97 (* end of lemma zenon_L551_ *) % 0.78/0.97 assert (zenon_L552_ : ((ndr1_0)/\((c1_1 (a1992))/\((~(c0_1 (a1992)))/\(~(c2_1 (a1992)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a1972))/\((c1_1 (a1972))/\(c3_1 (a1972)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a1991)) -> (c0_1 (a1991)) -> (~(c3_1 (a1991))) -> (~(hskp8)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((hskp28)\/(hskp8))) -> False). % 0.78/0.97 do 0 intro. intros zenon_H101 zenon_Hee zenon_He5 zenon_H6e zenon_Hf1 zenon_Hf0 zenon_Hef zenon_H9d zenon_Hd2. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Ha. zenon_intro zenon_H102. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc9. zenon_intro zenon_H103. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hc7. zenon_intro zenon_Hc8. % 0.78/0.97 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_Hd0 | zenon_intro zenon_He9 ]. % 0.78/0.97 apply (zenon_L56_); trivial. % 0.78/0.97 apply (zenon_L551_); trivial. % 0.78/0.97 (* end of lemma zenon_L552_ *) % 0.78/0.97 assert (zenon_L553_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c1_1 (a1969))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> (~(hskp11)) -> ((hskp30)\/((hskp27)\/(hskp6))) -> (~(hskp6)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> (~(hskp14)) -> (~(c2_1 (a1990))) -> (c3_1 (a1990)) -> (~(c1_1 (a1990))) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (~(c1_1 (a1971))) -> (c0_1 (a1971)) -> (c2_1 (a1971)) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (c1_1 (a1985)) -> (~(c3_1 (a1985))) -> (~(c0_1 (a1985))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> False). % 0.78/0.97 do 0 intro. intros zenon_H18d zenon_H262 zenon_H260 zenon_H257 zenon_H256 zenon_H255 zenon_H131 zenon_Hbc zenon_H12d zenon_H9b zenon_H9d zenon_H9f zenon_H7 zenon_H4f zenon_H50 zenon_H4b zenon_H48 zenon_H76 zenon_H74 zenon_H174 zenon_H6c zenon_H10f zenon_H110 zenon_H10e zenon_H3a zenon_H172 zenon_H2d zenon_H15a zenon_H89 zenon_H161 zenon_H239 zenon_H23a zenon_H23b zenon_H145 zenon_H146 zenon_H147 zenon_H157 zenon_H193 zenon_H192 zenon_H191 zenon_H156 zenon_Hc5 zenon_H187. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.97 apply (zenon_L376_); trivial. % 0.78/0.97 apply (zenon_L449_); trivial. % 0.78/0.97 (* end of lemma zenon_L553_ *) % 0.78/0.97 assert (zenon_L554_ : ((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(c2_1 (a1990))) -> (c3_1 (a1990)) -> (~(c1_1 (a1990))) -> (~(c0_1 (a1985))) -> (~(c3_1 (a1985))) -> (c1_1 (a1985)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (c3_1 (a1987)) -> (c2_1 (a1987)) -> (~(c1_1 (a1987))) -> (c2_1 (a1971)) -> (c0_1 (a1971)) -> (~(c1_1 (a1971))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> (~(c3_1 (a1991))) -> (c0_1 (a1991)) -> (c2_1 (a1991)) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> False). % 0.78/0.97 do 0 intro. intros zenon_H188 zenon_Hc5 zenon_H131 zenon_Hbc zenon_H12d zenon_H9b zenon_H9d zenon_H9f zenon_H156 zenon_H10f zenon_H110 zenon_H10e zenon_H191 zenon_H192 zenon_H193 zenon_H157 zenon_H147 zenon_H146 zenon_H145 zenon_H23b zenon_H23a zenon_H239 zenon_H15a zenon_Hef zenon_Hf0 zenon_Hf1 zenon_H3a zenon_H172. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Ha. zenon_intro zenon_H189. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H13f. zenon_intro zenon_H18a. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.78/0.97 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.97 apply (zenon_L127_); trivial. % 0.78/0.97 apply (zenon_L375_); trivial. % 0.78/0.97 (* end of lemma zenon_L554_ *) % 0.78/0.97 assert (zenon_L555_ : ((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c1_1 (a1969))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> (~(c1_1 (a1971))) -> (c0_1 (a1971)) -> (c2_1 (a1971)) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (c1_1 (a1985)) -> (~(c3_1 (a1985))) -> (~(c0_1 (a1985))) -> (~(c1_1 (a1990))) -> (c3_1 (a1990)) -> (~(c2_1 (a1990))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> False). % 0.78/0.97 do 0 intro. intros zenon_Hfc zenon_H18d zenon_H262 zenon_H260 zenon_H257 zenon_H256 zenon_H255 zenon_H131 zenon_Hbc zenon_H12d zenon_H9b zenon_H9d zenon_H9f zenon_H7 zenon_H172 zenon_H3a zenon_H15a zenon_H239 zenon_H23a zenon_H23b zenon_H145 zenon_H146 zenon_H147 zenon_H157 zenon_H193 zenon_H192 zenon_H191 zenon_H10e zenon_H110 zenon_H10f zenon_H156 zenon_Hc5 zenon_H187. % 0.78/0.97 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Ha. zenon_intro zenon_Hfd. % 0.78/0.97 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hf0. zenon_intro zenon_Hfe. % 0.78/0.97 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hf1. zenon_intro zenon_Hef. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.78/0.97 apply (zenon_L84_); trivial. % 0.78/0.97 apply (zenon_L554_); trivial. % 0.78/0.97 apply (zenon_L449_); trivial. % 0.78/0.97 (* end of lemma zenon_L555_ *) % 0.78/0.97 assert (zenon_L556_ : ((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp13)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (c3_1 (a1983)) -> (~(c1_1 (a1983))) -> (~(c0_1 (a1983))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (c0_1 (a1996)) -> (c3_1 (a1996)) -> (~(c2_1 (a1996))) -> (~(c1_1 (a1971))) -> (c0_1 (a1971)) -> (c2_1 (a1971)) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> False). % 0.78/0.97 do 0 intro. intros zenon_Hc1 zenon_H4f zenon_H1a6 zenon_H9b zenon_H15 zenon_H127 zenon_H19d zenon_H19c zenon_H19b zenon_H161 zenon_H13f zenon_H137 zenon_H135 zenon_H239 zenon_H23a zenon_H23b zenon_H145 zenon_H146 zenon_H147 zenon_H157. % 0.78/0.97 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2. % 0.78/0.97 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc3. % 0.78/0.97 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H17 | zenon_intro zenon_H53 ]. % 0.78/0.97 apply (zenon_L359_); trivial. % 0.78/0.97 apply (zenon_L149_); trivial. % 0.78/0.97 (* end of lemma zenon_L556_ *) % 0.78/0.97 assert (zenon_L557_ : ((ndr1_0)/\((c3_1 (a1983))/\((~(c0_1 (a1983)))/\(~(c1_1 (a1983)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a1987))/\((c3_1 (a1987))/\(~(c1_1 (a1987))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((hskp13)\/(hskp20))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> (~(c1_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c3_1 (a1969))) -> (~(hskp2)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp2))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/((hskp10)\/(hskp11))) -> (c2_1 (a1971)) -> (c0_1 (a1971)) -> (~(c1_1 (a1971))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((hskp29)\/(hskp6))) -> (~(hskp6)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a1989))/\((~(c0_1 (a1989)))/\(~(c3_1 (a1989))))))) -> False). % 0.78/0.97 do 0 intro. intros zenon_H1ee zenon_H1b7 zenon_H187 zenon_H161 zenon_H157 zenon_H7 zenon_H19 zenon_H4f zenon_H131 zenon_H255 zenon_H256 zenon_H257 zenon_H260 zenon_H262 zenon_H18d zenon_H242 zenon_H23b zenon_H23a zenon_H239 zenon_Hc5 zenon_H127 zenon_H1a4 zenon_H74 zenon_H2d zenon_H186 zenon_H9b zenon_H1a6 zenon_Hff zenon_H1a8. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Ha. zenon_intro zenon_H1ef. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H19d. zenon_intro zenon_H1f0. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H19b. zenon_intro zenon_H19c. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H6e | zenon_intro zenon_H1b3 ]. % 0.78/0.97 apply (zenon_L379_); trivial. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_Ha. zenon_intro zenon_H1b4. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H146. zenon_intro zenon_H1b5. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H147. zenon_intro zenon_H145. % 0.78/0.97 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.78/0.97 apply (zenon_L490_); trivial. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Ha. zenon_intro zenon_H189. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H13f. zenon_intro zenon_H18a. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.78/0.97 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.97 apply (zenon_L148_); trivial. % 0.78/0.97 apply (zenon_L556_); trivial. % 0.78/0.97 apply (zenon_L449_); trivial. % 0.78/0.97 apply (zenon_L150_); trivial. % 0.78/0.97 (* end of lemma zenon_L557_ *) % 0.78/0.97 assert (zenon_L558_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a2009))/\((~(c1_1 (a2009)))/\(~(c3_1 (a2009))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9)))))))) -> (~(c3_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c1_1 (a1969))) -> (~(hskp6)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((hskp23)\/(hskp6))) -> ((hskp23)\/((hskp5)\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (~(hskp17)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp21))) -> (~(c3_1 (a1981))) -> (c1_1 (a1981)) -> (c0_1 (a1981)) -> (c3_1 (a1990)) -> (~(c2_1 (a1990))) -> (~(c1_1 (a1990))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (c0_1 (a1996)) -> (c3_1 (a1996)) -> (~(c2_1 (a1996))) -> (ndr1_0) -> (~(c1_1 (a1971))) -> (c0_1 (a1971)) -> (c2_1 (a1971)) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> False). % 0.78/0.97 do 0 intro. intros zenon_H4f zenon_H1e9 zenon_H264 zenon_H257 zenon_H256 zenon_H255 zenon_H74 zenon_H1e2 zenon_H9f zenon_H9d zenon_H9b zenon_H2d zenon_H2b zenon_H1d4 zenon_H1c8 zenon_H1bc zenon_H1bb zenon_H110 zenon_H10f zenon_H10e zenon_H1d6 zenon_Hbc zenon_H161 zenon_H13f zenon_H137 zenon_H135 zenon_Ha zenon_H239 zenon_H23a zenon_H23b zenon_H145 zenon_H146 zenon_H147 zenon_H157. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H17 | zenon_intro zenon_H53 ]. % 0.78/0.97 apply (zenon_L359_); trivial. % 0.78/0.97 apply (zenon_L458_); trivial. % 0.78/0.97 (* end of lemma zenon_L558_ *) % 0.78/0.97 assert (zenon_L559_ : ((ndr1_0)/\((c0_1 (a1981))/\((c1_1 (a1981))/\(~(c3_1 (a1981)))))) -> ((~(hskp8))\/((ndr1_0)/\((c3_1 (a1983))/\((~(c0_1 (a1983)))/\(~(c1_1 (a1983))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((hskp13)\/(hskp20))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((hskp29)\/(hskp6))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a1987))/\((c3_1 (a1987))/\(~(c1_1 (a1987))))))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a2009))/\((~(c1_1 (a2009)))/\(~(c3_1 (a2009))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9)))))))) -> (~(hskp6)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((hskp23)\/(hskp6))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp21))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/((hskp10)\/(hskp11))) -> (c2_1 (a1971)) -> (c0_1 (a1971)) -> (~(c1_1 (a1971))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12))) -> (~(c3_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c1_1 (a1969))) -> (~(hskp5)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp2))) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp15))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp9))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp8))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a1989))/\((~(c0_1 (a1989)))/\(~(c3_1 (a1989))))))) -> ((~(hskp9))\/((ndr1_0)/\((c1_1 (a1985))/\((~(c0_1 (a1985)))/\(~(c3_1 (a1985))))))) -> False). % 0.78/0.97 do 0 intro. intros zenon_H206 zenon_H207 zenon_H19 zenon_H1a4 zenon_H186 zenon_H1a6 zenon_H1b7 zenon_H7 zenon_H4f zenon_H1e9 zenon_H264 zenon_H74 zenon_H1e2 zenon_H1d4 zenon_H1d6 zenon_H161 zenon_H157 zenon_H187 zenon_H242 zenon_H23b zenon_H23a zenon_H239 zenon_Hbc zenon_H25e zenon_H257 zenon_H256 zenon_H255 zenon_H9b zenon_H9f zenon_H18d zenon_H262 zenon_H260 zenon_H1ec zenon_H2d zenon_H127 zenon_Hc5 zenon_H172 zenon_H3a zenon_H16d zenon_H244 zenon_H156 zenon_H12d zenon_H131 zenon_Hff zenon_H12c zenon_H1a8 zenon_H1b6. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_Ha. zenon_intro zenon_H208. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1bb. zenon_intro zenon_H209. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H9d | zenon_intro zenon_H1ee ]. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H65 | zenon_intro zenon_H1b8 ]. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H6e | zenon_intro zenon_H1b3 ]. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.97 apply (zenon_L343_); trivial. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H11c. zenon_intro zenon_H190. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H11a. zenon_intro zenon_H11b. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.97 apply (zenon_L446_); trivial. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Ha. zenon_intro zenon_H12a. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H110. zenon_intro zenon_H12b. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.78/0.97 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.97 apply (zenon_L459_); trivial. % 0.78/0.97 apply (zenon_L355_); trivial. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_Ha. zenon_intro zenon_H1b4. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H146. zenon_intro zenon_H1b5. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H147. zenon_intro zenon_H145. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.97 apply (zenon_L446_); trivial. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Ha. zenon_intro zenon_H12a. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H110. zenon_intro zenon_H12b. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.78/0.97 apply (zenon_L84_); trivial. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Ha. zenon_intro zenon_H189. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H13f. zenon_intro zenon_H18a. % 0.78/0.97 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.78/0.97 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.97 apply (zenon_L558_); trivial. % 0.78/0.97 apply (zenon_L354_); trivial. % 0.78/0.97 apply (zenon_L449_); trivial. % 0.78/0.97 apply (zenon_L462_); trivial. % 0.78/0.97 apply (zenon_L557_); trivial. % 0.78/0.97 (* end of lemma zenon_L559_ *) % 0.78/0.97 assert (zenon_L560_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp13)) -> (c2_1 (a1989)) -> (~(c3_1 (a1989))) -> (~(c0_1 (a1989))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c1_1 (a1969))) -> (~(c0_1 (a1979))) -> (~(c2_1 (a1979))) -> (c3_1 (a1979)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((hskp14)\/(hskp10))) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> (~(hskp5)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (~(hskp14)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> False). % 0.78/0.97 do 0 intro. intros zenon_H18d zenon_Hc5 zenon_H127 zenon_H15 zenon_H11c zenon_H11b zenon_H11a zenon_H7 zenon_H262 zenon_H260 zenon_H257 zenon_H256 zenon_H255 zenon_H1f1 zenon_H1f2 zenon_H1f3 zenon_H178 zenon_H2d zenon_H186 zenon_H131 zenon_H4f zenon_H70 zenon_H6e zenon_H18b zenon_H9b zenon_H161 zenon_H6c zenon_H174 zenon_H89 zenon_H187. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.97 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.78/0.97 apply (zenon_L466_); trivial. % 0.78/0.97 apply (zenon_L391_); trivial. % 0.78/0.97 apply (zenon_L449_); trivial. % 0.78/0.97 (* end of lemma zenon_L560_ *) % 0.78/0.97 assert (zenon_L561_ : ((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp13)) -> (c2_1 (a1989)) -> (~(c3_1 (a1989))) -> (~(c0_1 (a1989))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (c3_1 (a1987)) -> (c2_1 (a1987)) -> (~(c1_1 (a1987))) -> (c2_1 (a1971)) -> (c0_1 (a1971)) -> (~(c1_1 (a1971))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (~(c0_1 (a1983))) -> (~(c1_1 (a1983))) -> (c3_1 (a1983)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> (~(hskp14)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> (c3_1 (a1979)) -> (~(c2_1 (a1979))) -> (~(c0_1 (a1979))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> False). % 0.78/0.98 do 0 intro. intros zenon_H188 zenon_Hc5 zenon_H127 zenon_H15 zenon_H11c zenon_H11b zenon_H11a zenon_H157 zenon_H147 zenon_H146 zenon_H145 zenon_H23b zenon_H23a zenon_H239 zenon_H161 zenon_H19b zenon_H19c zenon_H19d zenon_H15a zenon_H6c zenon_H174 zenon_H2d zenon_H1f3 zenon_H1f2 zenon_H1f1 zenon_H9b zenon_H1a6 zenon_H4f. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Ha. zenon_intro zenon_H189. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H13f. zenon_intro zenon_H18a. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.78/0.98 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H17 | zenon_intro zenon_H53 ]. % 0.78/0.98 apply (zenon_L359_); trivial. % 0.78/0.98 apply (zenon_L242_); trivial. % 0.78/0.98 apply (zenon_L77_); trivial. % 0.78/0.98 (* end of lemma zenon_L561_ *) % 0.78/0.98 assert (zenon_L562_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp13)) -> (c2_1 (a1989)) -> (~(c3_1 (a1989))) -> (~(c0_1 (a1989))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c1_1 (a1969))) -> (~(c0_1 (a1979))) -> (~(c2_1 (a1979))) -> (c3_1 (a1979)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> (~(hskp14)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> (c3_1 (a1983)) -> (~(c1_1 (a1983))) -> (~(c0_1 (a1983))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (~(c1_1 (a1971))) -> (c0_1 (a1971)) -> (c2_1 (a1971)) -> (~(c1_1 (a1987))) -> (c2_1 (a1987)) -> (c3_1 (a1987)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> False). % 0.78/0.98 do 0 intro. intros zenon_H18d zenon_Hc5 zenon_H127 zenon_H15 zenon_H11c zenon_H11b zenon_H11a zenon_H7 zenon_H262 zenon_H260 zenon_H257 zenon_H256 zenon_H255 zenon_H1f1 zenon_H1f2 zenon_H1f3 zenon_H178 zenon_H2d zenon_H186 zenon_H131 zenon_H4f zenon_H1a6 zenon_H9b zenon_H174 zenon_H6c zenon_H15a zenon_H19d zenon_H19c zenon_H19b zenon_H161 zenon_H239 zenon_H23a zenon_H23b zenon_H145 zenon_H146 zenon_H147 zenon_H157 zenon_H187. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.78/0.98 apply (zenon_L466_); trivial. % 0.78/0.98 apply (zenon_L561_); trivial. % 0.78/0.98 apply (zenon_L449_); trivial. % 0.78/0.98 (* end of lemma zenon_L562_ *) % 0.78/0.98 assert (zenon_L563_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a1993))/\((~(c0_1 (a1993)))/\(~(c1_1 (a1993))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a1970))/\((c2_1 (a1970))/\(c3_1 (a1970)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/((hskp4)\/(hskp11))) -> (~(hskp11)) -> (~(hskp4)) -> (~(c0_1 (a1983))) -> (~(c1_1 (a1983))) -> (c3_1 (a1983)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c1_1 X11))\/((~(c2_1 X11))\/(~(c3_1 X11))))))\/(hskp27))) -> (c3_1 (a1987)) -> (c2_1 (a1987)) -> (~(c1_1 (a1987))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> ((hskp16)\/((hskp19)\/(hskp15))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c1_1 X12)\/(~(c2_1 X12))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c1_1 (a1969))) -> (~(c0_1 (a1979))) -> (~(c2_1 (a1979))) -> (c3_1 (a1979)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> (~(c0_1 (a1985))) -> (~(c3_1 (a1985))) -> (c1_1 (a1985)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> (c2_1 (a1971)) -> (c0_1 (a1971)) -> (~(c1_1 (a1971))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1996))/\((c3_1 (a1996))/\(~(c2_1 (a1996))))))) -> False). % 0.78/0.98 do 0 intro. intros zenon_H18d zenon_Hc5 zenon_H50 zenon_H4b zenon_H48 zenon_H3a zenon_H19b zenon_H19c zenon_H19d zenon_H1b1 zenon_H147 zenon_H146 zenon_H145 zenon_H9b zenon_H1a6 zenon_H7 zenon_H262 zenon_H260 zenon_H257 zenon_H256 zenon_H255 zenon_H1f1 zenon_H1f2 zenon_H1f3 zenon_H178 zenon_H2d zenon_H186 zenon_H131 zenon_H191 zenon_H192 zenon_H193 zenon_H157 zenon_H23b zenon_H23a zenon_H239 zenon_H15a zenon_H187. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.78/0.98 apply (zenon_L472_); trivial. % 0.78/0.98 apply (zenon_L398_); trivial. % 0.78/0.98 apply (zenon_L449_); trivial. % 0.78/0.98 (* end of lemma zenon_L563_ *) % 0.78/0.98 assert (zenon_L564_ : ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((hskp23)\/(hskp6))) -> (~(hskp10)) -> (~(hskp14)) -> (ndr1_0) -> (~(c3_1 (a1989))) -> (c2_1 (a1989)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((hskp14)\/(hskp10))) -> (~(hskp23)) -> (~(hskp6)) -> False). % 0.78/0.98 do 0 intro. intros zenon_H1e2 zenon_H6e zenon_H6c zenon_Ha zenon_H11b zenon_H11c zenon_H70 zenon_H99 zenon_H74. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1e3 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H69 | zenon_intro zenon_H71 ]. % 0.78/0.98 generalize (zenon_H69 (a1989)). zenon_intro zenon_H286. % 0.78/0.98 apply (zenon_imply_s _ _ zenon_H286); [ zenon_intro zenon_H9 | zenon_intro zenon_H287 ]. % 0.78/0.98 exact (zenon_H9 zenon_Ha). % 0.78/0.98 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H122 | zenon_intro zenon_H24d ]. % 0.78/0.98 exact (zenon_H11b zenon_H122). % 0.78/0.98 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H24e | zenon_intro zenon_H121 ]. % 0.78/0.98 generalize (zenon_H1d8 (a1989)). zenon_intro zenon_H248. % 0.78/0.98 apply (zenon_imply_s _ _ zenon_H248); [ zenon_intro zenon_H9 | zenon_intro zenon_H249 ]. % 0.78/0.98 exact (zenon_H9 zenon_Ha). % 0.78/0.98 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H24a | zenon_intro zenon_H11f ]. % 0.78/0.98 exact (zenon_H24e zenon_H24a). % 0.78/0.98 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H122 | zenon_intro zenon_H121 ]. % 0.78/0.98 exact (zenon_H11b zenon_H122). % 0.78/0.98 exact (zenon_H121 zenon_H11c). % 0.78/0.98 exact (zenon_H121 zenon_H11c). % 0.78/0.98 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H6d | zenon_intro zenon_H6f ]. % 0.78/0.98 exact (zenon_H6c zenon_H6d). % 0.78/0.98 exact (zenon_H6e zenon_H6f). % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H9a | zenon_intro zenon_H75 ]. % 0.78/0.98 exact (zenon_H99 zenon_H9a). % 0.78/0.98 exact (zenon_H74 zenon_H75). % 0.78/0.98 (* end of lemma zenon_L564_ *) % 0.78/0.98 assert (zenon_L565_ : ((ndr1_0)/\((c1_1 (a1992))/\((~(c0_1 (a1992)))/\(~(c2_1 (a1992)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c1_1 (a1969))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((hskp23)\/(hskp6))) -> (~(hskp6)) -> (~(c3_1 (a1989))) -> (c2_1 (a1989)) -> (~(c0_1 (a1989))) -> (~(hskp7)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/(hskp7))) -> False). % 0.78/0.98 do 0 intro. intros zenon_H101 zenon_Hbc zenon_H25e zenon_H38 zenon_H257 zenon_H256 zenon_H255 zenon_H1e2 zenon_H74 zenon_H11b zenon_H11c zenon_H11a zenon_He7 zenon_Hea. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Ha. zenon_intro zenon_H102. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc9. zenon_intro zenon_H103. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hc7. zenon_intro zenon_Hc8. % 0.78/0.98 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb7 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hed ]. % 0.78/0.98 apply (zenon_L54_); trivial. % 0.78/0.98 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hd5 | zenon_intro zenon_He8 ]. % 0.78/0.98 apply (zenon_L404_); trivial. % 0.78/0.98 exact (zenon_He7 zenon_He8). % 0.78/0.98 apply (zenon_L445_); trivial. % 0.78/0.98 (* end of lemma zenon_L565_ *) % 0.78/0.98 assert (zenon_L566_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a1992))/\((~(c0_1 (a1992)))/\(~(c2_1 (a1992))))))) -> (~(c0_1 (a1989))) -> (~(hskp7)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/(hskp7))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((hskp23)\/(hskp6))) -> (~(hskp6)) -> (ndr1_0) -> (~(c3_1 (a1989))) -> (c2_1 (a1989)) -> (~(hskp10)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((hskp14)\/(hskp10))) -> (~(c1_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c3_1 (a1969))) -> (~(hskp12)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> False). % 0.78/0.98 do 0 intro. intros zenon_H100 zenon_H11a zenon_He7 zenon_Hea zenon_H1e2 zenon_H74 zenon_Ha zenon_H11b zenon_H11c zenon_H6e zenon_H70 zenon_H255 zenon_H256 zenon_H257 zenon_H38 zenon_H25e zenon_Hbc. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H6c | zenon_intro zenon_H101 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb7 ]. % 0.78/0.98 apply (zenon_L564_); trivial. % 0.78/0.98 apply (zenon_L445_); trivial. % 0.78/0.98 apply (zenon_L565_); trivial. % 0.78/0.98 (* end of lemma zenon_L566_ *) % 0.78/0.98 assert (zenon_L567_ : ((ndr1_0)/\((c0_1 (a1975))/\((~(c1_1 (a1975)))/\(~(c2_1 (a1975)))))) -> ((~(hskp5))\/((ndr1_0)/\((c1_1 (a1977))/\((~(c2_1 (a1977)))/\(~(c3_1 (a1977))))))) -> ((~(hskp6))\/((ndr1_0)/\((c3_1 (a1979))/\((~(c0_1 (a1979)))/\(~(c2_1 (a1979))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp12))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a1992))/\((~(c0_1 (a1992)))/\(~(c2_1 (a1992))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/(hskp7))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/((hskp23)\/(hskp6))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((hskp14)\/(hskp10))) -> (~(c1_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c3_1 (a1969))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((c2_1 X6)\/(~(c3_1 X6))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((c3_1 X39)\/(~(c1_1 X39))))))\/(hskp21))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((c3_1 X41)\/(~(c2_1 X41))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a2009))/\((~(c1_1 (a2009)))/\(~(c3_1 (a2009))))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c3_1 X62)\/((~(c0_1 X62))\/(~(c1_1 X62))))))\/(hskp10))) -> ((~(hskp7))\/((ndr1_0)/\((c0_1 (a1981))/\((c1_1 (a1981))/\(~(c3_1 (a1981))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a1989))/\((~(c0_1 (a1989)))/\(~(c3_1 (a1989))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp10))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> (~(c1_1 (a1971))) -> (c0_1 (a1971)) -> (c2_1 (a1971)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/((hskp10)\/(hskp11))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a1987))/\((c3_1 (a1987))/\(~(c1_1 (a1987))))))) -> False). % 0.78/0.98 do 0 intro. intros zenon_H288 zenon_H289 zenon_H22f zenon_H51 zenon_H1ea zenon_H100 zenon_Hea zenon_H1e2 zenon_H70 zenon_H255 zenon_H256 zenon_H257 zenon_H25e zenon_Hbc zenon_H1d4 zenon_H264 zenon_H1e9 zenon_H12c zenon_H1cc zenon_H285 zenon_H1a8 zenon_Hff zenon_He5 zenon_H89 zenon_H157 zenon_H2d zenon_H18b zenon_H127 zenon_Hc5 zenon_H239 zenon_H23a zenon_H23b zenon_H242 zenon_H1b7. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_Ha. zenon_intro zenon_H28a. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H232. zenon_intro zenon_H28b. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H230. zenon_intro zenon_H231. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H9b | zenon_intro zenon_H266 ]. % 0.78/0.98 apply (zenon_L439_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H266). zenon_intro zenon_Ha. zenon_intro zenon_H267. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H267). zenon_intro zenon_H20d. zenon_intro zenon_H268. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H268). zenon_intro zenon_H20a. zenon_intro zenon_H20c. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H74 | zenon_intro zenon_H22c ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_He7 | zenon_intro zenon_H206 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H6e | zenon_intro zenon_H1b3 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.98 apply (zenon_L343_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H11c. zenon_intro zenon_H190. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H11a. zenon_intro zenon_H11b. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.98 apply (zenon_L566_); trivial. % 0.78/0.98 apply (zenon_L479_); trivial. % 0.78/0.98 apply (zenon_L438_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_Ha. zenon_intro zenon_H208. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1bb. zenon_intro zenon_H209. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H6e | zenon_intro zenon_H1b3 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.98 apply (zenon_L343_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H11c. zenon_intro zenon_H190. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H11a. zenon_intro zenon_H11b. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb7 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H1cd ]. % 0.78/0.98 apply (zenon_L404_); trivial. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H6f ]. % 0.78/0.98 apply (zenon_L165_); trivial. % 0.78/0.98 exact (zenon_H6e zenon_H6f). % 0.78/0.98 apply (zenon_L445_); trivial. % 0.78/0.98 apply (zenon_L479_); trivial. % 0.78/0.98 apply (zenon_L438_); trivial. % 0.78/0.98 apply (zenon_L483_); trivial. % 0.78/0.98 (* end of lemma zenon_L567_ *) % 0.78/0.98 assert (zenon_L568_ : ((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(hskp5)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp8))) -> (~(hskp8)) -> (c2_1 (a1971)) -> (c0_1 (a1971)) -> (~(c1_1 (a1971))) -> (~(hskp9)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp9))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp13)\/(hskp17))) -> (~(c2_1 (a1973))) -> (c1_1 (a1973)) -> (c3_1 (a1973)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a1992))/\((~(c0_1 (a1992)))/\(~(c2_1 (a1992))))))) -> False). % 0.78/0.98 do 0 intro. intros zenon_H129 zenon_Hff zenon_Hc5 zenon_H131 zenon_Hbc zenon_H12d zenon_H9b zenon_H9f zenon_H156 zenon_H244 zenon_H9d zenon_H23b zenon_H23a zenon_H239 zenon_H65 zenon_H16d zenon_H97 zenon_H269 zenon_H26a zenon_H26b zenon_H161 zenon_H174 zenon_H3a zenon_H172 zenon_H2d zenon_H15a zenon_H4f zenon_Hea zenon_He7 zenon_H100. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Ha. zenon_intro zenon_H12a. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H110. zenon_intro zenon_H12b. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.78/0.98 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H6c | zenon_intro zenon_H101 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.98 apply (zenon_L503_); trivial. % 0.78/0.98 apply (zenon_L354_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Ha. zenon_intro zenon_H102. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc9. zenon_intro zenon_H103. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hc7. zenon_intro zenon_Hc8. % 0.78/0.98 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.98 apply (zenon_L507_); trivial. % 0.78/0.98 apply (zenon_L354_); trivial. % 0.78/0.98 apply (zenon_L355_); trivial. % 0.78/0.98 (* end of lemma zenon_L568_ *) % 0.78/0.98 assert (zenon_L569_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> (~(hskp19)) -> (~(c1_1 (a1990))) -> (c3_1 (a1990)) -> (~(c2_1 (a1990))) -> (~(c0_1 (a1998))) -> (c3_1 (a1998)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (c1_1 (a1985)) -> (~(c3_1 (a1985))) -> (~(c0_1 (a1985))) -> (ndr1_0) -> (~(c2_1 (a1973))) -> (c1_1 (a1973)) -> (c3_1 (a1973)) -> False). % 0.78/0.98 do 0 intro. intros zenon_H15a zenon_H3 zenon_H10e zenon_H110 zenon_H10f zenon_H58 zenon_H5a zenon_H156 zenon_H193 zenon_H192 zenon_H191 zenon_Ha zenon_H269 zenon_H26a zenon_H26b. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H59 | zenon_intro zenon_H15b ]. % 0.78/0.98 apply (zenon_L111_); trivial. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1c | zenon_intro zenon_H134 ]. % 0.78/0.98 apply (zenon_L131_); trivial. % 0.78/0.98 apply (zenon_L499_); trivial. % 0.78/0.98 (* end of lemma zenon_L569_ *) % 0.78/0.98 assert (zenon_L570_ : ((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(c2_1 (a1990))) -> (c3_1 (a1990)) -> (~(c1_1 (a1990))) -> (~(c0_1 (a1985))) -> (~(c3_1 (a1985))) -> (c1_1 (a1985)) -> (~(c2_1 (a1973))) -> (c1_1 (a1973)) -> (c3_1 (a1973)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> False). % 0.78/0.98 do 0 intro. intros zenon_Hc1 zenon_H131 zenon_Hbc zenon_H12d zenon_H9b zenon_H9d zenon_H9f zenon_H156 zenon_H10f zenon_H110 zenon_H10e zenon_H191 zenon_H192 zenon_H193 zenon_H269 zenon_H26a zenon_H26b zenon_H15a. % 0.78/0.98 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_Ha. zenon_intro zenon_Hc2. % 0.78/0.98 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc3. % 0.78/0.98 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H3 | zenon_intro zenon_H12e ]. % 0.78/0.98 apply (zenon_L569_); trivial. % 0.78/0.98 apply (zenon_L83_); trivial. % 0.78/0.98 (* end of lemma zenon_L570_ *) % 0.78/0.98 assert (zenon_L571_ : ((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(c2_1 (a1990))) -> (c3_1 (a1990)) -> (~(c1_1 (a1990))) -> (~(c0_1 (a1985))) -> (~(c3_1 (a1985))) -> (c1_1 (a1985)) -> (~(c2_1 (a1973))) -> (c1_1 (a1973)) -> (c3_1 (a1973)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> False). % 0.78/0.98 do 0 intro. intros zenon_Hfc zenon_Hc5 zenon_H131 zenon_Hbc zenon_H12d zenon_H9b zenon_H9d zenon_H9f zenon_H156 zenon_H10f zenon_H110 zenon_H10e zenon_H191 zenon_H192 zenon_H193 zenon_H269 zenon_H26a zenon_H26b zenon_H15a zenon_H3a zenon_H172. % 0.78/0.98 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Ha. zenon_intro zenon_Hfd. % 0.78/0.98 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hf0. zenon_intro zenon_Hfe. % 0.78/0.98 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hf1. zenon_intro zenon_Hef. % 0.78/0.98 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.98 apply (zenon_L127_); trivial. % 0.78/0.98 apply (zenon_L570_); trivial. % 0.78/0.98 (* end of lemma zenon_L571_ *) % 0.78/0.98 assert (zenon_L572_ : ((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> (~(hskp5)) -> (~(hskp8)) -> ((hskp23)\/((hskp5)\/(hskp8))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> (~(c0_1 (a1985))) -> (~(c3_1 (a1985))) -> (c1_1 (a1985)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp13)\/(hskp17))) -> (~(c2_1 (a1973))) -> (c1_1 (a1973)) -> (c3_1 (a1973)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a1992))/\((~(c0_1 (a1992)))/\(~(c2_1 (a1992))))))) -> False). % 0.78/0.98 do 0 intro. intros zenon_H129 zenon_Hff zenon_Hc5 zenon_H131 zenon_Hbc zenon_H12d zenon_H9b zenon_H9d zenon_H9f zenon_H156 zenon_H191 zenon_H192 zenon_H193 zenon_H97 zenon_H269 zenon_H26a zenon_H26b zenon_H161 zenon_H174 zenon_H3a zenon_H172 zenon_H2d zenon_H15a zenon_H4f zenon_Hea zenon_He7 zenon_H100. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Ha. zenon_intro zenon_H12a. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H110. zenon_intro zenon_H12b. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.78/0.98 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H6c | zenon_intro zenon_H101 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.98 apply (zenon_L503_); trivial. % 0.78/0.98 apply (zenon_L570_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Ha. zenon_intro zenon_H102. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc9. zenon_intro zenon_H103. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hc7. zenon_intro zenon_Hc8. % 0.78/0.98 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.98 apply (zenon_L507_); trivial. % 0.78/0.98 apply (zenon_L570_); trivial. % 0.78/0.98 apply (zenon_L571_); trivial. % 0.78/0.98 (* end of lemma zenon_L572_ *) % 0.78/0.98 assert (zenon_L573_ : ((ndr1_0)/\((c1_1 (a1985))/\((~(c0_1 (a1985)))/\(~(c3_1 (a1985)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a2001))/\((c3_1 (a2001))/\(~(c0_1 (a2001))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp19))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp13)\/(hskp17))) -> (~(c2_1 (a1973))) -> (c1_1 (a1973)) -> (c3_1 (a1973)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp4)\/(hskp17))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a1992))/\((~(c0_1 (a1992)))/\(~(c2_1 (a1992))))))) -> ((hskp23)\/((hskp5)\/(hskp8))) -> (~(hskp8)) -> (~(hskp5)) -> (~(c1_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c3_1 (a1969))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a2014))/\((c1_1 (a2014))/\(~(c2_1 (a2014))))))) -> False). % 0.78/0.98 do 0 intro. intros zenon_H1b8 zenon_H12c zenon_Hff zenon_Hc5 zenon_H131 zenon_H12d zenon_H156 zenon_H97 zenon_H269 zenon_H26a zenon_H26b zenon_H161 zenon_H174 zenon_H3a zenon_H172 zenon_H2d zenon_H15a zenon_H4f zenon_Hea zenon_He7 zenon_H100 zenon_H9f zenon_H9d zenon_H9b zenon_H255 zenon_H256 zenon_H257 zenon_H25e zenon_Hbc. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha. zenon_intro zenon_H1b9. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H193. zenon_intro zenon_H1ba. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H191. zenon_intro zenon_H192. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.98 apply (zenon_L446_); trivial. % 0.78/0.98 apply (zenon_L572_); trivial. % 0.78/0.98 (* end of lemma zenon_L573_ *) % 0.78/0.98 assert (zenon_L574_ : ((ndr1_0)/\((c3_1 (a1979))/\((~(c0_1 (a1979)))/\(~(c2_1 (a1979)))))) -> ((~(hskp8))\/((ndr1_0)/\((c3_1 (a1983))/\((~(c0_1 (a1983)))/\(~(c1_1 (a1983))))))) -> ((~(hskp9))\/((ndr1_0)/\((c1_1 (a1985))/\((~(c0_1 (a1985)))/\(~(c3_1 (a1985))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp9)\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a1998))/\((c3_1 (a1998))/\(~(c0_1 (a1998))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1978))/\((c1_1 (a1978))/\(c2_1 (a1978)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c0_1 X1))\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/(hskp17)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (c3_1 (a1973)) -> (c1_1 (a1973)) -> (~(c2_1 (a1973))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp29))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> (~(hskp5)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(hskp5))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a1989))/\((~(c0_1 (a1989)))/\(~(c3_1 (a1989))))))) -> (~(c1_1 (a1971))) -> (c0_1 (a1971)) -> (c2_1 (a1971)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c1_1 X7)\/((~(c0_1 X7))\/(~(c2_1 X7))))))\/(hskp8))) -> False). % 0.78/0.98 do 0 intro. intros zenon_H22c zenon_H207 zenon_H1b6 zenon_H67 zenon_Hc5 zenon_H127 zenon_H186 zenon_H2d zenon_H161 zenon_H26b zenon_H26a zenon_H269 zenon_H178 zenon_H15a zenon_H4f zenon_H9b zenon_H1a6 zenon_Hff zenon_H1a8 zenon_H239 zenon_H23a zenon_H23b zenon_H244. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_Ha. zenon_intro zenon_H22d. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H1f3. zenon_intro zenon_H22e. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H22e). zenon_intro zenon_H1f1. zenon_intro zenon_H1f2. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H9d | zenon_intro zenon_H1ee ]. % 0.78/0.98 apply (zenon_L389_); trivial. % 0.78/0.98 apply (zenon_L527_); trivial. % 0.78/0.98 (* end of lemma zenon_L574_ *) % 0.78/0.98 assert (zenon_L575_ : ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12))) -> (~(c3_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c1_1 (a1969))) -> (~(hskp13)) -> (ndr1_0) -> (~(c2_1 (a1973))) -> (c1_1 (a1973)) -> (c3_1 (a1973)) -> (~(c0_1 (a1989))) -> (~(c3_1 (a1989))) -> (c2_1 (a1989)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(hskp12)) -> False). % 0.78/0.98 do 0 intro. intros zenon_H25e zenon_H257 zenon_H256 zenon_H255 zenon_H15 zenon_Ha zenon_H269 zenon_H26a zenon_H26b zenon_H11a zenon_H11b zenon_H11c zenon_H127 zenon_H38. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H254 | zenon_intro zenon_H25f ]. % 0.78/0.98 apply (zenon_L444_); trivial. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_Hab | zenon_intro zenon_H39 ]. % 0.78/0.98 apply (zenon_L513_); trivial. % 0.78/0.98 exact (zenon_H38 zenon_H39). % 0.78/0.98 (* end of lemma zenon_L575_ *) % 0.78/0.98 assert (zenon_L576_ : ((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> (c0_1 (a1975)) -> (~(c2_1 (a1975))) -> (~(c1_1 (a1975))) -> (~(hskp10)) -> (~(c3_1 (a1991))) -> (c0_1 (a1991)) -> (c2_1 (a1991)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp10))) -> (~(c2_1 (a1973))) -> (c1_1 (a1973)) -> (c3_1 (a1973)) -> False). % 0.78/0.98 do 0 intro. intros zenon_H8b zenon_H283 zenon_H232 zenon_H231 zenon_H230 zenon_H6e zenon_Hef zenon_Hf0 zenon_Hf1 zenon_He5 zenon_H269 zenon_H26a zenon_H26b. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Ha. zenon_intro zenon_H8c. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H78. zenon_intro zenon_H8d. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H13e | zenon_intro zenon_H284 ]. % 0.78/0.98 apply (zenon_L317_); trivial. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H153 | zenon_intro zenon_H134 ]. % 0.78/0.98 apply (zenon_L436_); trivial. % 0.78/0.98 apply (zenon_L499_); trivial. % 0.78/0.98 (* end of lemma zenon_L576_ *) % 0.78/0.98 assert (zenon_L577_ : ((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> (c3_1 (a1973)) -> (c1_1 (a1973)) -> (~(c2_1 (a1973))) -> (~(hskp10)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp10))) -> (~(c1_1 (a1975))) -> (~(c2_1 (a1975))) -> (c0_1 (a1975)) -> (~(hskp5)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> False). % 0.78/0.98 do 0 intro. intros zenon_Hfc zenon_H89 zenon_H283 zenon_H26b zenon_H26a zenon_H269 zenon_H6e zenon_He5 zenon_H230 zenon_H231 zenon_H232 zenon_H9b zenon_H18b. % 0.78/0.98 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Ha. zenon_intro zenon_Hfd. % 0.78/0.98 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hf0. zenon_intro zenon_Hfe. % 0.78/0.98 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hf1. zenon_intro zenon_Hef. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H72 | zenon_intro zenon_H8b ]. % 0.78/0.98 apply (zenon_L327_); trivial. % 0.78/0.98 apply (zenon_L576_); trivial. % 0.78/0.98 (* end of lemma zenon_L577_ *) % 0.78/0.98 assert (zenon_L578_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> (~(hskp10)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp10))) -> (~(c1_1 (a1975))) -> (~(c2_1 (a1975))) -> (c0_1 (a1975)) -> (~(hskp5)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> (ndr1_0) -> (~(c1_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c3_1 (a1969))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (c3_1 (a1973)) -> (c1_1 (a1973)) -> (~(c2_1 (a1973))) -> (c2_1 (a1989)) -> (~(c3_1 (a1989))) -> (~(c0_1 (a1989))) -> (~(hskp12)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12))) -> False). % 0.78/0.98 do 0 intro. intros zenon_Hff zenon_H89 zenon_H283 zenon_H6e zenon_He5 zenon_H230 zenon_H231 zenon_H232 zenon_H9b zenon_H18b zenon_Ha zenon_H255 zenon_H256 zenon_H257 zenon_H127 zenon_H26b zenon_H26a zenon_H269 zenon_H11c zenon_H11b zenon_H11a zenon_H38 zenon_H25e. % 0.78/0.98 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.98 apply (zenon_L575_); trivial. % 0.78/0.98 apply (zenon_L577_); trivial. % 0.78/0.98 (* end of lemma zenon_L578_ *) % 0.78/0.98 assert (zenon_L579_ : ((ndr1_0)/\((c2_1 (a1989))/\((~(c0_1 (a1989)))/\(~(c3_1 (a1989)))))) -> ((~(hskp12))\/((ndr1_0)/\((c3_1 (a1990))/\((~(c1_1 (a1990)))/\(~(c2_1 (a1990))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c1_1 X56)\/((~(c0_1 X56))\/(~(c3_1 X56))))))\/(hskp14))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp20))) -> (~(hskp7)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c2_1 X24)\/(~(c1_1 X24))))))\/((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((~(c1_1 X25))\/(~(c2_1 X25))))))\/(hskp7))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a2003))/\((c2_1 (a2003))/\(~(c3_1 (a2003))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a1992))/\((~(c0_1 (a1992)))/\(~(c2_1 (a1992))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((c2_1 X13)\/(c3_1 X13)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c2_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12))) -> (~(c2_1 (a1973))) -> (c1_1 (a1973)) -> (c3_1 (a1973)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c0_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp13))) -> (~(c3_1 (a1969))) -> (~(c2_1 (a1969))) -> (~(c1_1 (a1969))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((hskp30)\/(hskp5))) -> (~(hskp5)) -> (c0_1 (a1975)) -> (~(c2_1 (a1975))) -> (~(c1_1 (a1975))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp10))) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(~(c0_1 V))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((~(c2_1 X79))\/(~(c3_1 X79))))))\/(forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((~(c1_1 X29))\/(~(c3_1 X29)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a2005))/\((c2_1 (a2005))/\(c3_1 (a2005)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a1991))/\((c2_1 (a1991))/\(~(c3_1 (a1991))))))) -> False). % 0.78/0.98 do 0 intro. intros zenon_H18e zenon_H12c zenon_H204 zenon_H174 zenon_H161 zenon_He7 zenon_Hea zenon_H4f zenon_H100 zenon_H25e zenon_H269 zenon_H26a zenon_H26b zenon_H127 zenon_H257 zenon_H256 zenon_H255 zenon_H18b zenon_H9b zenon_H232 zenon_H231 zenon_H230 zenon_He5 zenon_H6e zenon_H283 zenon_H89 zenon_Hff. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H11c. zenon_intro zenon_H190. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H11a. zenon_intro zenon_H11b. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.98 apply (zenon_L578_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Ha. zenon_intro zenon_H12a. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H110. zenon_intro zenon_H12b. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.78/0.98 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H6c | zenon_intro zenon_H101 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H59 | zenon_intro zenon_H205 ]. % 0.78/0.98 apply (zenon_L548_); trivial. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H13e | zenon_intro zenon_Hab ]. % 0.78/0.98 apply (zenon_L317_); trivial. % 0.78/0.98 apply (zenon_L513_); trivial. % 0.78/0.98 apply (zenon_L534_); trivial. % 0.78/0.98 apply (zenon_L577_); trivial. % 0.78/0.98 (* end of lemma zenon_L579_ *) % 0.78/0.98 apply NNPP. intro zenon_G. % 0.78/0.98 apply zenon_G. zenon_intro zenon_H28c. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H28e. zenon_intro zenon_H28d. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H28d). zenon_intro zenon_H290. zenon_intro zenon_H28f. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_H292. zenon_intro zenon_H291. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H294. zenon_intro zenon_H293. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H293). zenon_intro zenon_H296. zenon_intro zenon_H295. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H295). zenon_intro zenon_H289. zenon_intro zenon_H297. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H22f. zenon_intro zenon_H298. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H285. zenon_intro zenon_H299. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H299). zenon_intro zenon_H207. zenon_intro zenon_H29a. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H29a). zenon_intro zenon_H1b6. zenon_intro zenon_H29b. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H1b7. zenon_intro zenon_H29c. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H1a8. zenon_intro zenon_H29d. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H12c. zenon_intro zenon_H29e. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_Hff. zenon_intro zenon_H29f. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H100. zenon_intro zenon_H2a0. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2a0). zenon_intro zenon_H18d. zenon_intro zenon_H2a1. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H187. zenon_intro zenon_H2a2. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_Hc5. zenon_intro zenon_H2a3. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2a3). zenon_intro zenon_Hc0. zenon_intro zenon_H2a4. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2a4). zenon_intro zenon_H131. zenon_intro zenon_H2a5. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H4f. zenon_intro zenon_H2a6. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H1e9. zenon_intro zenon_H2a7. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H2a9. zenon_intro zenon_H2a8. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_Hbc. zenon_intro zenon_H2aa. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2aa). zenon_intro zenon_H2ac. zenon_intro zenon_H2ab. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2ab). zenon_intro zenon_H2ae. zenon_intro zenon_H2ad. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2ad). zenon_intro zenon_H2b0. zenon_intro zenon_H2af. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H50. zenon_intro zenon_H2b1. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_Hee. zenon_intro zenon_H2b2. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H186. zenon_intro zenon_H2b3. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H89. zenon_intro zenon_H2b4. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H2b6. zenon_intro zenon_H2b5. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H219. zenon_intro zenon_H2b7. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2b9. zenon_intro zenon_H2b8. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H246. zenon_intro zenon_H2ba. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H24f. zenon_intro zenon_H2bb. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_Hb8. zenon_intro zenon_H2bc. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2bc). zenon_intro zenon_H2be. zenon_intro zenon_H2bd. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H262. zenon_intro zenon_H2bf. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H2c1. zenon_intro zenon_H2c0. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2c0). zenon_intro zenon_H52. zenon_intro zenon_H2c2. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2c2). zenon_intro zenon_H1a6. zenon_intro zenon_H2c3. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H1a4. zenon_intro zenon_H2c4. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2c4). zenon_intro zenon_H2c6. zenon_intro zenon_H2c5. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_H22b. zenon_intro zenon_H2c7. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_Hea. zenon_intro zenon_H2c8. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2c8). zenon_intro zenon_Hd2. zenon_intro zenon_H2c9. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2c9). zenon_intro zenon_H15a. zenon_intro zenon_H2ca. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2ca). zenon_intro zenon_H178. zenon_intro zenon_H2cb. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2cb). zenon_intro zenon_H16d. zenon_intro zenon_H2cc. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_H204. zenon_intro zenon_H2cd. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2cd). zenon_intro zenon_H1ea. zenon_intro zenon_H2ce. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H2d0. zenon_intro zenon_H2cf. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H244. zenon_intro zenon_H2d1. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2d1). zenon_intro zenon_H2d3. zenon_intro zenon_H2d2. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2d2). zenon_intro zenon_H67. zenon_intro zenon_H2d4. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2d4). zenon_intro zenon_H51. zenon_intro zenon_H2d5. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2d5). zenon_intro zenon_H1d6. zenon_intro zenon_H2d6. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2d6). zenon_intro zenon_H127. zenon_intro zenon_H2d7. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2d7). zenon_intro zenon_H174. zenon_intro zenon_H2d8. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_H1ec. zenon_intro zenon_H2d9. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H2db. zenon_intro zenon_H2da. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H1cc. zenon_intro zenon_H2dc. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H2de. zenon_intro zenon_H2dd. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H97. zenon_intro zenon_H2df. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H2e1. zenon_intro zenon_H2e0. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H156. zenon_intro zenon_H2e2. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2e2). zenon_intro zenon_H12d. zenon_intro zenon_H2e3. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2e3). zenon_intro zenon_H19. zenon_intro zenon_H2e4. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2e4). zenon_intro zenon_H264. zenon_intro zenon_H2e5. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_H25e. zenon_intro zenon_H2e6. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H157. zenon_intro zenon_H2e7. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H283. zenon_intro zenon_H2e8. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H18b. zenon_intro zenon_H2e9. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2e9). zenon_intro zenon_H2eb. zenon_intro zenon_H2ea. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H1d4. zenon_intro zenon_H2ec. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H117. zenon_intro zenon_H2ed. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H2ef. zenon_intro zenon_H2ee. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2ee). zenon_intro zenon_H1e2. zenon_intro zenon_H2f0. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H2f2. zenon_intro zenon_H2f1. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H242. zenon_intro zenon_H2f3. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H2f5. zenon_intro zenon_H2f4. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H8a. zenon_intro zenon_H2f6. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H1b1. zenon_intro zenon_H2f7. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H2f9. zenon_intro zenon_H2f8. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H2fb. zenon_intro zenon_H2fa. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_H1e4. zenon_intro zenon_H2fc. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2fc). zenon_intro zenon_H2fe. zenon_intro zenon_H2fd. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2fd). zenon_intro zenon_H300. zenon_intro zenon_H2ff. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H2ff). zenon_intro zenon_H161. zenon_intro zenon_H301. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H301). zenon_intro zenon_H303. zenon_intro zenon_H302. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_He5. zenon_intro zenon_H304. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H304). zenon_intro zenon_H172. zenon_intro zenon_H305. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H305). zenon_intro zenon_Hfa. zenon_intro zenon_H306. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H306). zenon_intro zenon_H308. zenon_intro zenon_H307. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H307). zenon_intro zenon_H70. zenon_intro zenon_H309. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H309). zenon_intro zenon_H132. zenon_intro zenon_H30a. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H30a). zenon_intro zenon_H30c. zenon_intro zenon_H30b. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H30b). zenon_intro zenon_H2d. zenon_intro zenon_H30d. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H30d). zenon_intro zenon_H30f. zenon_intro zenon_H30e. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_H4b. zenon_intro zenon_H310. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H310). zenon_intro zenon_H312. zenon_intro zenon_H311. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H9f. zenon_intro zenon_H313. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_H76. zenon_intro zenon_H314. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H7. zenon_intro zenon_H315. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hf8 | zenon_intro zenon_H316 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H317 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H296); [ zenon_intro zenon_H3a | zenon_intro zenon_H288 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H9b | zenon_intro zenon_H266 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H74 | zenon_intro zenon_H22c ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_He7 | zenon_intro zenon_H206 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H9d | zenon_intro zenon_H1ee ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H65 | zenon_intro zenon_H1b8 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H6e | zenon_intro zenon_H1b3 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.98 apply (zenon_L69_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Ha. zenon_intro zenon_H12a. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H110. zenon_intro zenon_H12b. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.78/0.98 apply (zenon_L74_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H11c. zenon_intro zenon_H190. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H11a. zenon_intro zenon_H11b. % 0.78/0.98 apply (zenon_L81_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_Ha. zenon_intro zenon_H1b4. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H146. zenon_intro zenon_H1b5. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H147. zenon_intro zenon_H145. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.98 apply (zenon_L129_); trivial. % 0.78/0.98 apply (zenon_L130_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha. zenon_intro zenon_H1b9. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H193. zenon_intro zenon_H1ba. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H191. zenon_intro zenon_H192. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H6e | zenon_intro zenon_H1b3 ]. % 0.78/0.98 apply (zenon_L135_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_Ha. zenon_intro zenon_H1b4. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H146. zenon_intro zenon_H1b5. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H147. zenon_intro zenon_H145. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.98 apply (zenon_L134_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Ha. zenon_intro zenon_H12a. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H110. zenon_intro zenon_H12b. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H6c | zenon_intro zenon_H101 ]. % 0.78/0.98 apply (zenon_L143_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Ha. zenon_intro zenon_H102. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc9. zenon_intro zenon_H103. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hc7. zenon_intro zenon_Hc8. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.98 apply (zenon_L144_); trivial. % 0.78/0.98 apply (zenon_L96_); trivial. % 0.78/0.98 apply (zenon_L130_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Ha. zenon_intro zenon_H1ef. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H19d. zenon_intro zenon_H1f0. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H19b. zenon_intro zenon_H19c. % 0.78/0.98 apply (zenon_L159_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_Ha. zenon_intro zenon_H208. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1bb. zenon_intro zenon_H209. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H9d | zenon_intro zenon_H1ee ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H65 | zenon_intro zenon_H1b8 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H6e | zenon_intro zenon_H1b3 ]. % 0.78/0.98 apply (zenon_L170_); trivial. % 0.78/0.98 apply (zenon_L196_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha. zenon_intro zenon_H1b9. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H193. zenon_intro zenon_H1ba. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H191. zenon_intro zenon_H192. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H6e | zenon_intro zenon_H1b3 ]. % 0.78/0.98 apply (zenon_L135_); trivial. % 0.78/0.98 apply (zenon_L207_); trivial. % 0.78/0.98 apply (zenon_L208_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_Ha. zenon_intro zenon_H22d. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H1f3. zenon_intro zenon_H22e. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H22e). zenon_intro zenon_H1f1. zenon_intro zenon_H1f2. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_He7 | zenon_intro zenon_H206 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H9d | zenon_intro zenon_H1ee ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H65 | zenon_intro zenon_H1b8 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H6e | zenon_intro zenon_H1b3 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.98 apply (zenon_L210_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H11c. zenon_intro zenon_H190. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H11a. zenon_intro zenon_H11b. % 0.78/0.98 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.98 apply (zenon_L214_); trivial. % 0.78/0.98 apply (zenon_L217_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_Ha. zenon_intro zenon_H1b4. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H146. zenon_intro zenon_H1b5. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H147. zenon_intro zenon_H145. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.98 apply (zenon_L210_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H11c. zenon_intro zenon_H190. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H11a. zenon_intro zenon_H11b. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H6c | zenon_intro zenon_H101 ]. % 0.78/0.98 apply (zenon_L223_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Ha. zenon_intro zenon_H102. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc9. zenon_intro zenon_H103. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hc7. zenon_intro zenon_Hc8. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.78/0.98 apply (zenon_L84_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Ha. zenon_intro zenon_H189. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H13f. zenon_intro zenon_H18a. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.78/0.98 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H17 | zenon_intro zenon_H53 ]. % 0.78/0.98 apply (zenon_L224_); trivial. % 0.78/0.98 apply (zenon_L121_); trivial. % 0.78/0.98 apply (zenon_L77_); trivial. % 0.78/0.98 apply (zenon_L192_); trivial. % 0.78/0.98 apply (zenon_L68_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Ha. zenon_intro zenon_H12a. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H110. zenon_intro zenon_H12b. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.78/0.98 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H6c | zenon_intro zenon_H101 ]. % 0.78/0.98 apply (zenon_L228_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Ha. zenon_intro zenon_H102. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc9. zenon_intro zenon_H103. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hc7. zenon_intro zenon_Hc8. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.98 apply (zenon_L125_); trivial. % 0.78/0.98 apply (zenon_L192_); trivial. % 0.78/0.98 apply (zenon_L128_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha. zenon_intro zenon_H1b9. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H193. zenon_intro zenon_H1ba. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H191. zenon_intro zenon_H192. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.98 apply (zenon_L232_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H11c. zenon_intro zenon_H190. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H11a. zenon_intro zenon_H11b. % 0.78/0.98 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.98 apply (zenon_L233_); trivial. % 0.78/0.98 apply (zenon_L235_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Ha. zenon_intro zenon_H1ef. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H19d. zenon_intro zenon_H1f0. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H19b. zenon_intro zenon_H19c. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H65 | zenon_intro zenon_H1b8 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H6e | zenon_intro zenon_H1b3 ]. % 0.78/0.98 apply (zenon_L236_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_Ha. zenon_intro zenon_H1b4. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H146. zenon_intro zenon_H1b5. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H147. zenon_intro zenon_H145. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.98 apply (zenon_L210_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H11c. zenon_intro zenon_H190. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H11a. zenon_intro zenon_H11b. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H6c | zenon_intro zenon_H101 ]. % 0.78/0.98 apply (zenon_L244_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Ha. zenon_intro zenon_H102. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc9. zenon_intro zenon_H103. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hc7. zenon_intro zenon_Hc8. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.78/0.98 apply (zenon_L241_); trivial. % 0.78/0.98 apply (zenon_L246_); trivial. % 0.78/0.98 apply (zenon_L192_); trivial. % 0.78/0.98 apply (zenon_L68_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Ha. zenon_intro zenon_H12a. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H110. zenon_intro zenon_H12b. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.78/0.98 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H6c | zenon_intro zenon_H101 ]. % 0.78/0.98 apply (zenon_L244_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Ha. zenon_intro zenon_H102. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc9. zenon_intro zenon_H103. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hc7. zenon_intro zenon_Hc8. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.78/0.98 apply (zenon_L241_); trivial. % 0.78/0.98 apply (zenon_L247_); trivial. % 0.78/0.98 apply (zenon_L192_); trivial. % 0.78/0.98 apply (zenon_L150_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha. zenon_intro zenon_H1b9. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H193. zenon_intro zenon_H1ba. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H191. zenon_intro zenon_H192. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H6e | zenon_intro zenon_H1b3 ]. % 0.78/0.98 apply (zenon_L248_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_Ha. zenon_intro zenon_H1b4. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H146. zenon_intro zenon_H1b5. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H147. zenon_intro zenon_H145. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H6c | zenon_intro zenon_H101 ]. % 0.78/0.98 apply (zenon_L255_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Ha. zenon_intro zenon_H102. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc9. zenon_intro zenon_H103. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hc7. zenon_intro zenon_Hc8. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.78/0.98 apply (zenon_L256_); trivial. % 0.78/0.98 apply (zenon_L258_); trivial. % 0.78/0.98 apply (zenon_L96_); trivial. % 0.78/0.98 apply (zenon_L217_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H11c. zenon_intro zenon_H190. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H11a. zenon_intro zenon_H11b. % 0.78/0.98 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H6c | zenon_intro zenon_H101 ]. % 0.78/0.98 apply (zenon_L260_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Ha. zenon_intro zenon_H102. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc9. zenon_intro zenon_H103. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hc7. zenon_intro zenon_Hc8. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.78/0.98 apply (zenon_L256_); trivial. % 0.78/0.98 apply (zenon_L261_); trivial. % 0.78/0.98 apply (zenon_L192_); trivial. % 0.78/0.98 apply (zenon_L150_); trivial. % 0.78/0.98 apply (zenon_L272_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H266). zenon_intro zenon_Ha. zenon_intro zenon_H267. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H267). zenon_intro zenon_H20d. zenon_intro zenon_H268. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H268). zenon_intro zenon_H20a. zenon_intro zenon_H20c. % 0.78/0.98 apply (zenon_L316_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_Ha. zenon_intro zenon_H28a. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H232. zenon_intro zenon_H28b. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H230. zenon_intro zenon_H231. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H9b | zenon_intro zenon_H266 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H74 | zenon_intro zenon_H22c ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_He7 | zenon_intro zenon_H206 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H9d | zenon_intro zenon_H1ee ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H65 | zenon_intro zenon_H1b8 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H6e | zenon_intro zenon_H1b3 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.98 apply (zenon_L69_); trivial. % 0.78/0.98 apply (zenon_L80_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H11c. zenon_intro zenon_H190. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H11a. zenon_intro zenon_H11b. % 0.78/0.98 apply (zenon_L81_); trivial. % 0.78/0.98 apply (zenon_L326_); trivial. % 0.78/0.98 apply (zenon_L330_); trivial. % 0.78/0.98 apply (zenon_L333_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_Ha. zenon_intro zenon_H208. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1bb. zenon_intro zenon_H209. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H9d | zenon_intro zenon_H1ee ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H65 | zenon_intro zenon_H1b8 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H6e | zenon_intro zenon_H1b3 ]. % 0.78/0.98 apply (zenon_L170_); trivial. % 0.78/0.98 apply (zenon_L326_); trivial. % 0.78/0.98 apply (zenon_L330_); trivial. % 0.78/0.98 apply (zenon_L333_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_Ha. zenon_intro zenon_H22d. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H1f3. zenon_intro zenon_H22e. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H22e). zenon_intro zenon_H1f1. zenon_intro zenon_H1f2. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_He7 | zenon_intro zenon_H206 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H9d | zenon_intro zenon_H1ee ]. % 0.78/0.98 apply (zenon_L335_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Ha. zenon_intro zenon_H1ef. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H19d. zenon_intro zenon_H1f0. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H19b. zenon_intro zenon_H19c. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H65 | zenon_intro zenon_H1b8 ]. % 0.78/0.98 apply (zenon_L337_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha. zenon_intro zenon_H1b9. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H193. zenon_intro zenon_H1ba. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H191. zenon_intro zenon_H192. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H6e | zenon_intro zenon_H1b3 ]. % 0.78/0.98 apply (zenon_L248_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_Ha. zenon_intro zenon_H1b4. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H146. zenon_intro zenon_H1b5. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H147. zenon_intro zenon_H145. % 0.78/0.98 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H6c | zenon_intro zenon_H101 ]. % 0.78/0.98 apply (zenon_L340_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Ha. zenon_intro zenon_H102. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc9. zenon_intro zenon_H103. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hc7. zenon_intro zenon_Hc8. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H17 | zenon_intro zenon_H53 ]. % 0.78/0.98 apply (zenon_L331_); trivial. % 0.78/0.98 apply (zenon_L245_); trivial. % 0.78/0.98 apply (zenon_L150_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_Ha. zenon_intro zenon_H208. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1bb. zenon_intro zenon_H209. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H9d | zenon_intro zenon_H1ee ]. % 0.78/0.98 apply (zenon_L335_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Ha. zenon_intro zenon_H1ef. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H19d. zenon_intro zenon_H1f0. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H19b. zenon_intro zenon_H19c. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H65 | zenon_intro zenon_H1b8 ]. % 0.78/0.98 apply (zenon_L337_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha. zenon_intro zenon_H1b9. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H193. zenon_intro zenon_H1ba. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H191. zenon_intro zenon_H192. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H6e | zenon_intro zenon_H1b3 ]. % 0.78/0.98 apply (zenon_L248_); trivial. % 0.78/0.98 apply (zenon_L341_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H266). zenon_intro zenon_Ha. zenon_intro zenon_H267. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H267). zenon_intro zenon_H20d. zenon_intro zenon_H268. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H268). zenon_intro zenon_H20a. zenon_intro zenon_H20c. % 0.78/0.98 apply (zenon_L316_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_Ha. zenon_intro zenon_H318. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H318). zenon_intro zenon_H23a. zenon_intro zenon_H319. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H319). zenon_intro zenon_H23b. zenon_intro zenon_H239. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H296); [ zenon_intro zenon_H3a | zenon_intro zenon_H288 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H9b | zenon_intro zenon_H266 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H74 | zenon_intro zenon_H22c ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_He7 | zenon_intro zenon_H206 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H9d | zenon_intro zenon_H1ee ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H65 | zenon_intro zenon_H1b8 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H6e | zenon_intro zenon_H1b3 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.98 apply (zenon_L343_); trivial. % 0.78/0.98 apply (zenon_L356_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_Ha. zenon_intro zenon_H1b4. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H146. zenon_intro zenon_H1b5. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H147. zenon_intro zenon_H145. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.98 apply (zenon_L362_); trivial. % 0.78/0.98 apply (zenon_L356_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha. zenon_intro zenon_H1b9. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H193. zenon_intro zenon_H1ba. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H191. zenon_intro zenon_H192. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H6e | zenon_intro zenon_H1b3 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.98 apply (zenon_L343_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H11c. zenon_intro zenon_H190. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H11a. zenon_intro zenon_H11b. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.98 apply (zenon_L364_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Ha. zenon_intro zenon_H12a. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H110. zenon_intro zenon_H12b. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.78/0.98 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.98 apply (zenon_L351_); trivial. % 0.78/0.98 apply (zenon_L366_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_Ha. zenon_intro zenon_H1b4. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H146. zenon_intro zenon_H1b5. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H147. zenon_intro zenon_H145. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.98 apply (zenon_L369_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Ha. zenon_intro zenon_H12a. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H110. zenon_intro zenon_H12b. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H6c | zenon_intro zenon_H101 ]. % 0.78/0.98 apply (zenon_L377_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Ha. zenon_intro zenon_H102. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc9. zenon_intro zenon_H103. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hc7. zenon_intro zenon_Hc8. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.98 apply (zenon_L378_); trivial. % 0.78/0.98 apply (zenon_L96_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H11c. zenon_intro zenon_H190. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H11a. zenon_intro zenon_H11b. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.98 apply (zenon_L364_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Ha. zenon_intro zenon_H12a. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H110. zenon_intro zenon_H12b. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.78/0.98 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H6c | zenon_intro zenon_H101 ]. % 0.78/0.98 apply (zenon_L345_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Ha. zenon_intro zenon_H102. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc9. zenon_intro zenon_H103. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hc7. zenon_intro zenon_Hc8. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.98 apply (zenon_L378_); trivial. % 0.78/0.98 apply (zenon_L192_); trivial. % 0.78/0.98 apply (zenon_L366_); trivial. % 0.78/0.98 apply (zenon_L380_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_Ha. zenon_intro zenon_H208. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1bb. zenon_intro zenon_H209. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H9d | zenon_intro zenon_H1ee ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H65 | zenon_intro zenon_H1b8 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H6e | zenon_intro zenon_H1b3 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.98 apply (zenon_L343_); trivial. % 0.78/0.98 apply (zenon_L381_); trivial. % 0.78/0.98 apply (zenon_L386_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha. zenon_intro zenon_H1b9. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H193. zenon_intro zenon_H1ba. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H191. zenon_intro zenon_H192. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H6e | zenon_intro zenon_H1b3 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.98 apply (zenon_L343_); trivial. % 0.78/0.98 apply (zenon_L206_); trivial. % 0.78/0.98 apply (zenon_L388_); trivial. % 0.78/0.98 apply (zenon_L380_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_Ha. zenon_intro zenon_H22d. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H1f3. zenon_intro zenon_H22e. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H22e). zenon_intro zenon_H1f1. zenon_intro zenon_H1f2. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_He7 | zenon_intro zenon_H206 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H9d | zenon_intro zenon_H1ee ]. % 0.78/0.98 apply (zenon_L389_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Ha. zenon_intro zenon_H1ef. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H19d. zenon_intro zenon_H1f0. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H19b. zenon_intro zenon_H19c. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H65 | zenon_intro zenon_H1b8 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H6e | zenon_intro zenon_H1b3 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.98 apply (zenon_L210_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H11c. zenon_intro zenon_H190. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H11a. zenon_intro zenon_H11b. % 0.78/0.98 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H6c | zenon_intro zenon_H101 ]. % 0.78/0.98 apply (zenon_L392_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Ha. zenon_intro zenon_H102. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc9. zenon_intro zenon_H103. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hc7. zenon_intro zenon_Hc8. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.78/0.98 apply (zenon_L256_); trivial. % 0.78/0.98 apply (zenon_L349_); trivial. % 0.78/0.98 apply (zenon_L192_); trivial. % 0.78/0.98 apply (zenon_L150_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_Ha. zenon_intro zenon_H1b4. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H146. zenon_intro zenon_H1b5. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H147. zenon_intro zenon_H145. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.98 apply (zenon_L210_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H11c. zenon_intro zenon_H190. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H11a. zenon_intro zenon_H11b. % 0.78/0.98 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H6c | zenon_intro zenon_H101 ]. % 0.78/0.98 apply (zenon_L394_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Ha. zenon_intro zenon_H102. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc9. zenon_intro zenon_H103. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hc7. zenon_intro zenon_Hc8. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.78/0.98 apply (zenon_L256_); trivial. % 0.78/0.98 apply (zenon_L395_); trivial. % 0.78/0.98 apply (zenon_L192_); trivial. % 0.78/0.98 apply (zenon_L150_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha. zenon_intro zenon_H1b9. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H193. zenon_intro zenon_H1ba. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H191. zenon_intro zenon_H192. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H6e | zenon_intro zenon_H1b3 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.98 apply (zenon_L343_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H11c. zenon_intro zenon_H190. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H11a. zenon_intro zenon_H11b. % 0.78/0.98 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H6c | zenon_intro zenon_H101 ]. % 0.78/0.98 apply (zenon_L392_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Ha. zenon_intro zenon_H102. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc9. zenon_intro zenon_H103. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hc7. zenon_intro zenon_Hc8. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.78/0.98 apply (zenon_L256_); trivial. % 0.78/0.98 apply (zenon_L397_); trivial. % 0.78/0.98 apply (zenon_L192_); trivial. % 0.78/0.98 apply (zenon_L150_); trivial. % 0.78/0.98 apply (zenon_L399_); trivial. % 0.78/0.98 apply (zenon_L401_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H266). zenon_intro zenon_Ha. zenon_intro zenon_H267. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H267). zenon_intro zenon_H20d. zenon_intro zenon_H268. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H268). zenon_intro zenon_H20a. zenon_intro zenon_H20c. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H74 | zenon_intro zenon_H22c ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_He7 | zenon_intro zenon_H206 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H9d | zenon_intro zenon_H1ee ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H6e | zenon_intro zenon_H1b3 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.98 apply (zenon_L343_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H11c. zenon_intro zenon_H190. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H11a. zenon_intro zenon_H11b. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H6c | zenon_intro zenon_H101 ]. % 0.78/0.98 apply (zenon_L345_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Ha. zenon_intro zenon_H102. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc9. zenon_intro zenon_H103. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hc7. zenon_intro zenon_Hc8. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.78/0.98 apply (zenon_L406_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Ha. zenon_intro zenon_H189. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H13f. zenon_intro zenon_H18a. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.78/0.98 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H17 | zenon_intro zenon_H53 ]. % 0.78/0.98 apply (zenon_L408_); trivial. % 0.78/0.98 apply (zenon_L62_); trivial. % 0.78/0.98 apply (zenon_L77_); trivial. % 0.78/0.98 apply (zenon_L411_); trivial. % 0.78/0.98 apply (zenon_L68_); trivial. % 0.78/0.98 apply (zenon_L413_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_Ha. zenon_intro zenon_H1b4. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H146. zenon_intro zenon_H1b5. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H147. zenon_intro zenon_H145. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.78/0.98 apply (zenon_L415_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Ha. zenon_intro zenon_H189. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H13f. zenon_intro zenon_H18a. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.78/0.98 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H87 | zenon_intro zenon_Hbd ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H17 | zenon_intro zenon_H53 ]. % 0.78/0.98 apply (zenon_L359_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_Ha. zenon_intro zenon_H54. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H1e. zenon_intro zenon_H55. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H1f. zenon_intro zenon_H1d. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H3c | zenon_intro zenon_H4a ]. % 0.78/0.98 apply (zenon_L417_); trivial. % 0.78/0.98 apply (zenon_L19_); trivial. % 0.78/0.98 apply (zenon_L360_); trivial. % 0.78/0.98 apply (zenon_L410_); trivial. % 0.78/0.98 apply (zenon_L96_); trivial. % 0.78/0.98 apply (zenon_L68_); trivial. % 0.78/0.98 apply (zenon_L413_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H11c. zenon_intro zenon_H190. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H11a. zenon_intro zenon_H11b. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H6c | zenon_intro zenon_H101 ]. % 0.78/0.98 apply (zenon_L345_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Ha. zenon_intro zenon_H102. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc9. zenon_intro zenon_H103. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hc7. zenon_intro zenon_Hc8. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.78/0.98 apply (zenon_L406_); trivial. % 0.78/0.98 apply (zenon_L419_); trivial. % 0.78/0.98 apply (zenon_L411_); trivial. % 0.78/0.98 apply (zenon_L68_); trivial. % 0.78/0.98 apply (zenon_L413_); trivial. % 0.78/0.98 apply (zenon_L422_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_Ha. zenon_intro zenon_H208. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1bb. zenon_intro zenon_H209. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H9d | zenon_intro zenon_H1ee ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H65 | zenon_intro zenon_H1b8 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H6e | zenon_intro zenon_H1b3 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.98 apply (zenon_L343_); trivial. % 0.78/0.98 apply (zenon_L423_); trivial. % 0.78/0.98 apply (zenon_L424_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha. zenon_intro zenon_H1b9. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H193. zenon_intro zenon_H1ba. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H191. zenon_intro zenon_H192. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H6e | zenon_intro zenon_H1b3 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.98 apply (zenon_L343_); trivial. % 0.78/0.98 apply (zenon_L426_); trivial. % 0.78/0.98 apply (zenon_L432_); trivial. % 0.78/0.98 apply (zenon_L422_); trivial. % 0.78/0.98 apply (zenon_L315_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_Ha. zenon_intro zenon_H28a. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H232. zenon_intro zenon_H28b. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H230. zenon_intro zenon_H231. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H9b | zenon_intro zenon_H266 ]. % 0.78/0.98 apply (zenon_L439_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H266). zenon_intro zenon_Ha. zenon_intro zenon_H267. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H267). zenon_intro zenon_H20d. zenon_intro zenon_H268. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H268). zenon_intro zenon_H20a. zenon_intro zenon_H20c. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H74 | zenon_intro zenon_H22c ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H9d | zenon_intro zenon_H1ee ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H6e | zenon_intro zenon_H1b3 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.98 apply (zenon_L343_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H11c. zenon_intro zenon_H190. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H11a. zenon_intro zenon_H11b. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H3c | zenon_intro zenon_H4a ]. % 0.78/0.98 apply (zenon_L440_); trivial. % 0.78/0.98 apply (zenon_L190_); trivial. % 0.78/0.98 apply (zenon_L410_); trivial. % 0.78/0.98 apply (zenon_L68_); trivial. % 0.78/0.98 apply (zenon_L413_); trivial. % 0.78/0.98 apply (zenon_L438_); trivial. % 0.78/0.98 apply (zenon_L443_); trivial. % 0.78/0.98 apply (zenon_L315_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_Ha. zenon_intro zenon_H31a. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H31a). zenon_intro zenon_H255. zenon_intro zenon_H31b. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H31b). zenon_intro zenon_H256. zenon_intro zenon_H257. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H317 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H260 | zenon_intro zenon_H31c ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H296); [ zenon_intro zenon_H3a | zenon_intro zenon_H288 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H9b | zenon_intro zenon_H266 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H74 | zenon_intro zenon_H22c ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_He7 | zenon_intro zenon_H206 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H9d | zenon_intro zenon_H1ee ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H65 | zenon_intro zenon_H1b8 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H6e | zenon_intro zenon_H1b3 ]. % 0.78/0.98 apply (zenon_L447_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_Ha. zenon_intro zenon_H1b4. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H146. zenon_intro zenon_H1b5. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H147. zenon_intro zenon_H145. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.98 apply (zenon_L446_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Ha. zenon_intro zenon_H12a. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H110. zenon_intro zenon_H12b. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.78/0.98 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H6c | zenon_intro zenon_H101 ]. % 0.78/0.98 apply (zenon_L450_); trivial. % 0.78/0.98 apply (zenon_L126_); trivial. % 0.78/0.98 apply (zenon_L128_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H11c. zenon_intro zenon_H190. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H11a. zenon_intro zenon_H11b. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.98 apply (zenon_L446_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Ha. zenon_intro zenon_H12a. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H110. zenon_intro zenon_H12b. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.78/0.98 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H6c | zenon_intro zenon_H101 ]. % 0.78/0.98 apply (zenon_L454_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Ha. zenon_intro zenon_H102. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc9. zenon_intro zenon_H103. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hc7. zenon_intro zenon_Hc8. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.78/0.98 apply (zenon_L84_); trivial. % 0.78/0.98 apply (zenon_L247_); trivial. % 0.78/0.98 apply (zenon_L449_); trivial. % 0.78/0.98 apply (zenon_L128_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha. zenon_intro zenon_H1b9. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H193. zenon_intro zenon_H1ba. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H191. zenon_intro zenon_H192. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H6e | zenon_intro zenon_H1b3 ]. % 0.78/0.98 apply (zenon_L447_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_Ha. zenon_intro zenon_H1b4. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H146. zenon_intro zenon_H1b5. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H147. zenon_intro zenon_H145. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.98 apply (zenon_L446_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Ha. zenon_intro zenon_H12a. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H110. zenon_intro zenon_H12b. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H6c | zenon_intro zenon_H101 ]. % 0.78/0.98 apply (zenon_L143_); trivial. % 0.78/0.98 apply (zenon_L455_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H11c. zenon_intro zenon_H190. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H11a. zenon_intro zenon_H11b. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.98 apply (zenon_L446_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Ha. zenon_intro zenon_H12a. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H110. zenon_intro zenon_H12b. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H6c | zenon_intro zenon_H101 ]. % 0.78/0.98 apply (zenon_L454_); trivial. % 0.78/0.98 apply (zenon_L455_); trivial. % 0.78/0.98 apply (zenon_L208_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_Ha. zenon_intro zenon_H208. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1bb. zenon_intro zenon_H209. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H9d | zenon_intro zenon_H1ee ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H65 | zenon_intro zenon_H1b8 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H6e | zenon_intro zenon_H1b3 ]. % 0.78/0.98 apply (zenon_L447_); trivial. % 0.78/0.98 apply (zenon_L461_); trivial. % 0.78/0.98 apply (zenon_L462_); trivial. % 0.78/0.98 apply (zenon_L463_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_Ha. zenon_intro zenon_H22d. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H1f3. zenon_intro zenon_H22e. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H22e). zenon_intro zenon_H1f1. zenon_intro zenon_H1f2. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_He7 | zenon_intro zenon_H206 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H9d | zenon_intro zenon_H1ee ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H65 | zenon_intro zenon_H1b8 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H6e | zenon_intro zenon_H1b3 ]. % 0.78/0.98 apply (zenon_L447_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_Ha. zenon_intro zenon_H1b4. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H146. zenon_intro zenon_H1b5. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H147. zenon_intro zenon_H145. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.98 apply (zenon_L210_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H11c. zenon_intro zenon_H190. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H11a. zenon_intro zenon_H11b. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.98 apply (zenon_L446_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Ha. zenon_intro zenon_H12a. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H110. zenon_intro zenon_H12b. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.78/0.98 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H6c | zenon_intro zenon_H101 ]. % 0.78/0.98 apply (zenon_L454_); trivial. % 0.78/0.98 apply (zenon_L468_); trivial. % 0.78/0.98 apply (zenon_L128_); trivial. % 0.78/0.98 apply (zenon_L469_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Ha. zenon_intro zenon_H1ef. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H19d. zenon_intro zenon_H1f0. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H19b. zenon_intro zenon_H19c. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H65 | zenon_intro zenon_H1b8 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H6e | zenon_intro zenon_H1b3 ]. % 0.78/0.98 apply (zenon_L236_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_Ha. zenon_intro zenon_H1b4. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H146. zenon_intro zenon_H1b5. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H147. zenon_intro zenon_H145. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.98 apply (zenon_L210_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H11c. zenon_intro zenon_H190. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H11a. zenon_intro zenon_H11b. % 0.78/0.98 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H6c | zenon_intro zenon_H101 ]. % 0.78/0.98 apply (zenon_L470_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Ha. zenon_intro zenon_H102. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc9. zenon_intro zenon_H103. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hc7. zenon_intro zenon_Hc8. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.78/0.98 apply (zenon_L471_); trivial. % 0.78/0.98 apply (zenon_L246_); trivial. % 0.78/0.98 apply (zenon_L449_); trivial. % 0.78/0.98 apply (zenon_L150_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha. zenon_intro zenon_H1b9. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H193. zenon_intro zenon_H1ba. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H191. zenon_intro zenon_H192. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H6e | zenon_intro zenon_H1b3 ]. % 0.78/0.98 apply (zenon_L248_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_Ha. zenon_intro zenon_H1b4. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H146. zenon_intro zenon_H1b5. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H147. zenon_intro zenon_H145. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H6c | zenon_intro zenon_H101 ]. % 0.78/0.98 apply (zenon_L473_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Ha. zenon_intro zenon_H102. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc9. zenon_intro zenon_H103. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hc7. zenon_intro zenon_Hc8. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.78/0.98 apply (zenon_L472_); trivial. % 0.78/0.98 apply (zenon_L258_); trivial. % 0.78/0.98 apply (zenon_L96_); trivial. % 0.78/0.98 apply (zenon_L150_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H11c. zenon_intro zenon_H190. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H11a. zenon_intro zenon_H11b. % 0.78/0.98 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H6c | zenon_intro zenon_H101 ]. % 0.78/0.98 apply (zenon_L474_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Ha. zenon_intro zenon_H102. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc9. zenon_intro zenon_H103. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hc7. zenon_intro zenon_Hc8. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.78/0.98 apply (zenon_L471_); trivial. % 0.78/0.98 apply (zenon_L261_); trivial. % 0.78/0.98 apply (zenon_L449_); trivial. % 0.78/0.98 apply (zenon_L217_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_Ha. zenon_intro zenon_H208. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1bb. zenon_intro zenon_H209. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H9d | zenon_intro zenon_H1ee ]. % 0.78/0.98 apply (zenon_L475_); trivial. % 0.78/0.98 apply (zenon_L271_); trivial. % 0.78/0.98 apply (zenon_L484_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_Ha. zenon_intro zenon_H28a. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H232. zenon_intro zenon_H28b. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H230. zenon_intro zenon_H231. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H9b | zenon_intro zenon_H266 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H74 | zenon_intro zenon_H22c ]. % 0.78/0.98 apply (zenon_L495_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_Ha. zenon_intro zenon_H22d. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H1f3. zenon_intro zenon_H22e. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H22e). zenon_intro zenon_H1f1. zenon_intro zenon_H1f2. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H9d | zenon_intro zenon_H1ee ]. % 0.78/0.98 apply (zenon_L489_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Ha. zenon_intro zenon_H1ef. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H19d. zenon_intro zenon_H1f0. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H19b. zenon_intro zenon_H19c. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H65 | zenon_intro zenon_H1b8 ]. % 0.78/0.98 apply (zenon_L337_); trivial. % 0.78/0.98 apply (zenon_L498_); trivial. % 0.78/0.98 apply (zenon_L484_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H31c). zenon_intro zenon_Ha. zenon_intro zenon_H31d. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H31d). zenon_intro zenon_H26a. zenon_intro zenon_H31e. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H31e). zenon_intro zenon_H26b. zenon_intro zenon_H269. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H296); [ zenon_intro zenon_H3a | zenon_intro zenon_H288 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H9b | zenon_intro zenon_H266 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H74 | zenon_intro zenon_H22c ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_He7 | zenon_intro zenon_H206 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H9d | zenon_intro zenon_H1ee ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.98 apply (zenon_L446_); trivial. % 0.78/0.98 apply (zenon_L509_); trivial. % 0.78/0.98 apply (zenon_L515_); trivial. % 0.78/0.98 apply (zenon_L517_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_Ha. zenon_intro zenon_H22d. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H1f3. zenon_intro zenon_H22e. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H22e). zenon_intro zenon_H1f1. zenon_intro zenon_H1f2. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_He7 | zenon_intro zenon_H206 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H9d | zenon_intro zenon_H1ee ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H65 | zenon_intro zenon_H1b8 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.98 apply (zenon_L210_); trivial. % 0.78/0.98 apply (zenon_L522_); trivial. % 0.78/0.98 apply (zenon_L523_); trivial. % 0.78/0.98 apply (zenon_L527_); trivial. % 0.78/0.98 apply (zenon_L529_); trivial. % 0.78/0.98 apply (zenon_L484_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_Ha. zenon_intro zenon_H28a. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H232. zenon_intro zenon_H28b. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H230. zenon_intro zenon_H231. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H9b | zenon_intro zenon_H266 ]. % 0.78/0.98 apply (zenon_L537_); trivial. % 0.78/0.98 apply (zenon_L539_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_Ha. zenon_intro zenon_H318. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H318). zenon_intro zenon_H23a. zenon_intro zenon_H319. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H319). zenon_intro zenon_H23b. zenon_intro zenon_H239. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H260 | zenon_intro zenon_H31c ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H296); [ zenon_intro zenon_H3a | zenon_intro zenon_H288 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H9b | zenon_intro zenon_H266 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H74 | zenon_intro zenon_H22c ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_He7 | zenon_intro zenon_H206 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H9d | zenon_intro zenon_H1ee ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H65 | zenon_intro zenon_H1b8 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H6e | zenon_intro zenon_H1b3 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.98 apply (zenon_L343_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H11c. zenon_intro zenon_H190. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H11a. zenon_intro zenon_H11b. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.98 apply (zenon_L446_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Ha. zenon_intro zenon_H12a. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H110. zenon_intro zenon_H12b. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.78/0.98 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.98 apply (zenon_L542_); trivial. % 0.78/0.98 apply (zenon_L355_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_Ha. zenon_intro zenon_H1b4. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H146. zenon_intro zenon_H1b5. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H147. zenon_intro zenon_H145. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.98 apply (zenon_L446_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Ha. zenon_intro zenon_H12a. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H110. zenon_intro zenon_H12b. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H6c | zenon_intro zenon_H101 ]. % 0.78/0.98 apply (zenon_L544_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Ha. zenon_intro zenon_H102. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc9. zenon_intro zenon_H103. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hc7. zenon_intro zenon_Hc8. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.78/0.98 apply (zenon_L84_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H188). zenon_intro zenon_Ha. zenon_intro zenon_H189. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H189). zenon_intro zenon_H13f. zenon_intro zenon_H18a. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18a). zenon_intro zenon_H137. zenon_intro zenon_H135. % 0.78/0.98 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.98 apply (zenon_L348_); trivial. % 0.78/0.98 apply (zenon_L354_); trivial. % 0.78/0.98 apply (zenon_L449_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H11c. zenon_intro zenon_H190. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H11a. zenon_intro zenon_H11b. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.98 apply (zenon_L446_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Ha. zenon_intro zenon_H12a. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H110. zenon_intro zenon_H12b. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.78/0.98 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.98 apply (zenon_L547_); trivial. % 0.78/0.98 apply (zenon_L355_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha. zenon_intro zenon_H1b9. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H193. zenon_intro zenon_H1ba. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H191. zenon_intro zenon_H192. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H6e | zenon_intro zenon_H1b3 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.98 apply (zenon_L343_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H11c. zenon_intro zenon_H190. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H11a. zenon_intro zenon_H11b. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.98 apply (zenon_L446_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Ha. zenon_intro zenon_H12a. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H110. zenon_intro zenon_H12b. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.78/0.98 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.98 apply (zenon_L542_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Ha. zenon_intro zenon_Hfd. % 0.78/0.98 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hf0. zenon_intro zenon_Hfe. % 0.78/0.98 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hf1. zenon_intro zenon_Hef. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H6c | zenon_intro zenon_H101 ]. % 0.78/0.98 apply (zenon_L550_); trivial. % 0.78/0.98 apply (zenon_L552_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_Ha. zenon_intro zenon_H1b4. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H146. zenon_intro zenon_H1b5. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H147. zenon_intro zenon_H145. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.98 apply (zenon_L446_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Ha. zenon_intro zenon_H12a. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H110. zenon_intro zenon_H12b. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H6c | zenon_intro zenon_H101 ]. % 0.78/0.98 apply (zenon_L553_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Ha. zenon_intro zenon_H102. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc9. zenon_intro zenon_H103. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hc7. zenon_intro zenon_Hc8. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.98 apply (zenon_L378_); trivial. % 0.78/0.98 apply (zenon_L449_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H11c. zenon_intro zenon_H190. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H11a. zenon_intro zenon_H11b. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.98 apply (zenon_L446_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Ha. zenon_intro zenon_H12a. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H110. zenon_intro zenon_H12b. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.78/0.98 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.98 apply (zenon_L547_); trivial. % 0.78/0.98 apply (zenon_L555_); trivial. % 0.78/0.98 apply (zenon_L557_); trivial. % 0.78/0.98 apply (zenon_L559_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_Ha. zenon_intro zenon_H22d. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H22d). zenon_intro zenon_H1f3. zenon_intro zenon_H22e. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H22e). zenon_intro zenon_H1f1. zenon_intro zenon_H1f2. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_He7 | zenon_intro zenon_H206 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H9d | zenon_intro zenon_H1ee ]. % 0.78/0.98 apply (zenon_L389_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_Ha. zenon_intro zenon_H1ef. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_H19d. zenon_intro zenon_H1f0. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H19b. zenon_intro zenon_H19c. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H65 | zenon_intro zenon_H1b8 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H6e | zenon_intro zenon_H1b3 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.98 apply (zenon_L210_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H11c. zenon_intro zenon_H190. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H11a. zenon_intro zenon_H11b. % 0.78/0.98 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H6c | zenon_intro zenon_H101 ]. % 0.78/0.98 apply (zenon_L560_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Ha. zenon_intro zenon_H102. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc9. zenon_intro zenon_H103. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hc7. zenon_intro zenon_Hc8. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.78/0.98 apply (zenon_L466_); trivial. % 0.78/0.98 apply (zenon_L349_); trivial. % 0.78/0.98 apply (zenon_L449_); trivial. % 0.78/0.98 apply (zenon_L150_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_Ha. zenon_intro zenon_H1b4. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H146. zenon_intro zenon_H1b5. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H147. zenon_intro zenon_H145. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.98 apply (zenon_L210_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H11c. zenon_intro zenon_H190. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H11a. zenon_intro zenon_H11b. % 0.78/0.98 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H6c | zenon_intro zenon_H101 ]. % 0.78/0.98 apply (zenon_L562_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Ha. zenon_intro zenon_H102. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc9. zenon_intro zenon_H103. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hc7. zenon_intro zenon_Hc8. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.78/0.98 apply (zenon_L466_); trivial. % 0.78/0.98 apply (zenon_L395_); trivial. % 0.78/0.98 apply (zenon_L449_); trivial. % 0.78/0.98 apply (zenon_L150_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_Ha. zenon_intro zenon_H1b9. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H193. zenon_intro zenon_H1ba. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H191. zenon_intro zenon_H192. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H6e | zenon_intro zenon_H1b3 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.98 apply (zenon_L343_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H11c. zenon_intro zenon_H190. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H11a. zenon_intro zenon_H11b. % 0.78/0.98 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H6c | zenon_intro zenon_H101 ]. % 0.78/0.98 apply (zenon_L560_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Ha. zenon_intro zenon_H102. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc9. zenon_intro zenon_H103. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H103). zenon_intro zenon_Hc7. zenon_intro zenon_Hc8. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.78/0.98 apply (zenon_L466_); trivial. % 0.78/0.98 apply (zenon_L397_); trivial. % 0.78/0.98 apply (zenon_L449_); trivial. % 0.78/0.98 apply (zenon_L150_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b3). zenon_intro zenon_Ha. zenon_intro zenon_H1b4. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b4). zenon_intro zenon_H146. zenon_intro zenon_H1b5. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H1b5). zenon_intro zenon_H147. zenon_intro zenon_H145. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.98 apply (zenon_L563_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H18f. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_H11c. zenon_intro zenon_H190. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H11a. zenon_intro zenon_H11b. % 0.78/0.98 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H5 | zenon_intro zenon_H15c ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H1 | zenon_intro zenon_H188 ]. % 0.78/0.98 apply (zenon_L466_); trivial. % 0.78/0.98 apply (zenon_L398_); trivial. % 0.78/0.98 apply (zenon_L449_); trivial. % 0.78/0.98 apply (zenon_L150_); trivial. % 0.78/0.98 apply (zenon_L401_); trivial. % 0.78/0.98 apply (zenon_L484_); trivial. % 0.78/0.98 apply (zenon_L567_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H31c). zenon_intro zenon_Ha. zenon_intro zenon_H31d. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H31d). zenon_intro zenon_H26a. zenon_intro zenon_H31e. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H31e). zenon_intro zenon_H26b. zenon_intro zenon_H269. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H296); [ zenon_intro zenon_H3a | zenon_intro zenon_H288 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H9b | zenon_intro zenon_H266 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H74 | zenon_intro zenon_H22c ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_He7 | zenon_intro zenon_H206 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H9d | zenon_intro zenon_H1ee ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H65 | zenon_intro zenon_H1b8 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.98 apply (zenon_L446_); trivial. % 0.78/0.98 apply (zenon_L568_); trivial. % 0.78/0.98 apply (zenon_L573_); trivial. % 0.78/0.98 apply (zenon_L515_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_Ha. zenon_intro zenon_H208. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H1bb. zenon_intro zenon_H209. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1bc. zenon_intro zenon_H1c8. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H9d | zenon_intro zenon_H1ee ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H65 | zenon_intro zenon_H1b8 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H38 | zenon_intro zenon_H129 ]. % 0.78/0.98 apply (zenon_L446_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_Ha. zenon_intro zenon_H12a. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H110. zenon_intro zenon_H12b. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H12b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.78/0.98 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H15 | zenon_intro zenon_Hfc ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H2b | zenon_intro zenon_Hc1 ]. % 0.78/0.98 apply (zenon_L516_); trivial. % 0.78/0.98 apply (zenon_L354_); trivial. % 0.78/0.98 apply (zenon_L355_); trivial. % 0.78/0.98 apply (zenon_L462_); trivial. % 0.78/0.98 apply (zenon_L515_); trivial. % 0.78/0.98 apply (zenon_L574_); trivial. % 0.78/0.98 apply (zenon_L539_); trivial. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_Ha. zenon_intro zenon_H28a. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H232. zenon_intro zenon_H28b. % 0.78/0.98 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H230. zenon_intro zenon_H231. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H9b | zenon_intro zenon_H266 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_He7 | zenon_intro zenon_H206 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H6e | zenon_intro zenon_H1b3 ]. % 0.78/0.98 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H48 | zenon_intro zenon_H18e ]. % 0.78/0.98 apply (zenon_L343_); trivial. % 0.78/0.98 apply (zenon_L579_); trivial. % 0.78/0.98 apply (zenon_L535_); trivial. % 0.78/0.98 apply (zenon_L536_); trivial. % 0.78/0.98 apply (zenon_L539_); trivial. % 0.78/0.98 Qed. % 0.78/0.98 % SZS output end Proof % 0.78/0.98 (* END-PROOF *) % 0.78/0.98 nodes searched: 31848 % 0.78/0.98 max branch formulas: 515 % 0.78/0.98 proof nodes created: 4626 % 0.78/0.98 formulas created: 35493 % 0.78/0.98 %------------------------------------------------------------------------------