%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN481+1 : TPTP v8.1.0. Released v2.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n007.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 13:53:23 EDT 2022 % Result : Theorem 0.96s 1.15s % Output : Proof 1.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SYN481+1 : TPTP v8.1.0. Released v2.1.0. % 0.07/0.13 % Command : run_zenon %s %d % 0.14/0.34 % Computer : n007.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 600 % 0.14/0.34 % DateTime : Mon Jul 11 16:51:18 EDT 2022 % 0.14/0.34 % CPUTime : % 0.96/1.15 (* PROOF-FOUND *) % 0.96/1.15 % SZS status Theorem % 0.96/1.15 (* BEGIN-PROOF *) % 0.96/1.15 % SZS output start Proof % 0.96/1.15 Theorem co1 : (~(((~(hskp0))\/((ndr1_0)/\((c0_1 (a1634))/\((c3_1 (a1634))/\(~(c1_1 (a1634)))))))/\(((~(hskp1))\/((ndr1_0)/\((~(c0_1 (a1636)))/\((~(c1_1 (a1636)))/\(~(c2_1 (a1636)))))))/\(((~(hskp2))\/((ndr1_0)/\((c1_1 (a1637))/\((c3_1 (a1637))/\(~(c0_1 (a1637)))))))/\(((~(hskp3))\/((ndr1_0)/\((c3_1 (a1638))/\((~(c0_1 (a1638)))/\(~(c2_1 (a1638)))))))/\(((~(hskp4))\/((ndr1_0)/\((c3_1 (a1639))/\((~(c1_1 (a1639)))/\(~(c2_1 (a1639)))))))/\(((~(hskp5))\/((ndr1_0)/\((c0_1 (a1640))/\((c3_1 (a1640))/\(~(c2_1 (a1640)))))))/\(((~(hskp6))\/((ndr1_0)/\((c2_1 (a1641))/\((~(c0_1 (a1641)))/\(~(c3_1 (a1641)))))))/\(((~(hskp7))\/((ndr1_0)/\((c0_1 (a1642))/\((~(c2_1 (a1642)))/\(~(c3_1 (a1642)))))))/\(((~(hskp8))\/((ndr1_0)/\((c1_1 (a1643))/\((~(c2_1 (a1643)))/\(~(c3_1 (a1643)))))))/\(((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a1644)))/\((~(c1_1 (a1644)))/\(~(c3_1 (a1644)))))))/\(((~(hskp10))\/((ndr1_0)/\((c0_1 (a1648))/\((c2_1 (a1648))/\(~(c3_1 (a1648)))))))/\(((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650)))))))/\(((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653)))))))/\(((~(hskp13))\/((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658)))))))/\(((~(hskp14))\/((ndr1_0)/\((c0_1 (a1661))/\((~(c1_1 (a1661)))/\(~(c3_1 (a1661)))))))/\(((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664)))))))/\(((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667)))))))/\(((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675)))))))/\(((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680)))))))/\(((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682)))))))/\(((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689)))))))/\(((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691)))))))/\(((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697)))))))/\(((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a1699)))/\((~(c2_1 (a1699)))/\(~(c3_1 (a1699)))))))/\(((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701)))))))/\(((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709)))))))/\(((~(hskp26))\/((ndr1_0)/\((c2_1 (a1737))/\((c3_1 (a1737))/\(~(c0_1 (a1737)))))))/\(((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635))))))/\(((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646))))))/\(((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647))))))/\(((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp0)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp27)\/(hskp1)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4)))/\(((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))))/\(((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))))/\(((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((hskp5)\/(hskp6)))/\(((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((hskp7)\/(hskp8)))/\(((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16)))))))/\(((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12))))))))/\(((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))))/\(((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9)))/\(((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp29)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp10)\/(hskp1)))/\(((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11)))/\(((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11)))/\(((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29)))/\(((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12)))/\(((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp3)))/\(((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))))/\(((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/(hskp7)))/\(((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5)))/\(((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11)))/\(((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11)))/\(((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/(hskp14)))/\(((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))))/\(((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp5)))/\(((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp5)))/\(((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15)))/\(((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((hskp0)\/(hskp28)))/\(((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0)))/\(((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp14)))/\(((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))))/\(((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10)))/\(((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp2)\/(hskp9)))/\(((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2)))/\(((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17)))/\(((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12)))/\(((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp9)))/\(((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18)))/\(((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19)))/\(((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((hskp27)\/(hskp6)))/\(((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((hskp7)\/(hskp19)))/\(((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((hskp13)\/(hskp9)))/\(((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/((hskp20)\/(hskp28)))/\(((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3)))/\(((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28)))/\(((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/((hskp8)\/(hskp1)))/\(((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp9)))/\(((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22)))/\(((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((hskp4)\/(hskp23)))/\(((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24)))/\(((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21)))/\(((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp14)\/(hskp22)))/\(((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp11)))/\(((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25)))/\(((hskp27)\/((hskp20)\/(hskp30)))/\(((hskp29)\/((hskp10)\/(hskp6)))/\(((hskp20)\/(hskp14))/\(((hskp12)\/((hskp5)\/(hskp24)))/\(((hskp12)\/((hskp25)\/(hskp24)))/\(((hskp30)\/((hskp6)\/(hskp4)))/\(((hskp10)\/((hskp18)\/(hskp11)))/\(((hskp0)\/((hskp5)\/(hskp1)))/\(((hskp0)\/((hskp7)\/(hskp8)))/\(((hskp0)\/((hskp26)\/(hskp1)))/\(((hskp15)\/((hskp19)\/(hskp1)))/\(((hskp7)\/((hskp6)\/(hskp9)))/\(((hskp25)\/((hskp17)\/(hskp1)))/\(((hskp19)\/((hskp21)\/(hskp6)))/\((hskp11)\/((hskp17)\/(hskp1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). % 0.96/1.15 Proof. % 0.96/1.15 assert (zenon_L1_ : (~(hskp0)) -> (hskp0) -> False). % 0.96/1.15 do 0 intro. intros zenon_H1 zenon_H2. % 0.96/1.15 exact (zenon_H1 zenon_H2). % 0.96/1.15 (* end of lemma zenon_L1_ *) % 0.96/1.15 assert (zenon_L2_ : (~(hskp5)) -> (hskp5) -> False). % 0.96/1.15 do 0 intro. intros zenon_H3 zenon_H4. % 0.96/1.15 exact (zenon_H3 zenon_H4). % 0.96/1.15 (* end of lemma zenon_L2_ *) % 0.96/1.15 assert (zenon_L3_ : (~(hskp1)) -> (hskp1) -> False). % 0.96/1.15 do 0 intro. intros zenon_H5 zenon_H6. % 0.96/1.15 exact (zenon_H5 zenon_H6). % 0.96/1.15 (* end of lemma zenon_L3_ *) % 0.96/1.15 assert (zenon_L4_ : ((hskp0)\/((hskp5)\/(hskp1))) -> (~(hskp0)) -> (~(hskp5)) -> (~(hskp1)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H7 zenon_H1 zenon_H3 zenon_H5. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H2 | zenon_intro zenon_H8 ]. % 0.96/1.15 exact (zenon_H1 zenon_H2). % 0.96/1.15 apply (zenon_or_s _ _ zenon_H8); [ zenon_intro zenon_H4 | zenon_intro zenon_H6 ]. % 0.96/1.15 exact (zenon_H3 zenon_H4). % 0.96/1.15 exact (zenon_H5 zenon_H6). % 0.96/1.15 (* end of lemma zenon_L4_ *) % 0.96/1.15 assert (zenon_L5_ : (~(hskp7)) -> (hskp7) -> False). % 0.96/1.15 do 0 intro. intros zenon_H9 zenon_Ha. % 0.96/1.15 exact (zenon_H9 zenon_Ha). % 0.96/1.15 (* end of lemma zenon_L5_ *) % 0.96/1.15 assert (zenon_L6_ : (~(hskp6)) -> (hskp6) -> False). % 0.96/1.15 do 0 intro. intros zenon_Hb zenon_Hc. % 0.96/1.15 exact (zenon_Hb zenon_Hc). % 0.96/1.15 (* end of lemma zenon_L6_ *) % 0.96/1.15 assert (zenon_L7_ : (~(hskp9)) -> (hskp9) -> False). % 0.96/1.15 do 0 intro. intros zenon_Hd zenon_He. % 0.96/1.15 exact (zenon_Hd zenon_He). % 0.96/1.15 (* end of lemma zenon_L7_ *) % 0.96/1.15 assert (zenon_L8_ : ((hskp7)\/((hskp6)\/(hskp9))) -> (~(hskp7)) -> (~(hskp6)) -> (~(hskp9)) -> False). % 0.96/1.15 do 0 intro. intros zenon_Hf zenon_H9 zenon_Hb zenon_Hd. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Hf); [ zenon_intro zenon_Ha | zenon_intro zenon_H10 ]. % 0.96/1.15 exact (zenon_H9 zenon_Ha). % 0.96/1.15 apply (zenon_or_s _ _ zenon_H10); [ zenon_intro zenon_Hc | zenon_intro zenon_He ]. % 0.96/1.15 exact (zenon_Hb zenon_Hc). % 0.96/1.15 exact (zenon_Hd zenon_He). % 0.96/1.15 (* end of lemma zenon_L8_ *) % 0.96/1.15 assert (zenon_L9_ : (~(hskp15)) -> (hskp15) -> False). % 0.96/1.15 do 0 intro. intros zenon_H11 zenon_H12. % 0.96/1.15 exact (zenon_H11 zenon_H12). % 0.96/1.15 (* end of lemma zenon_L9_ *) % 0.96/1.15 assert (zenon_L10_ : (~(hskp19)) -> (hskp19) -> False). % 0.96/1.15 do 0 intro. intros zenon_H13 zenon_H14. % 0.96/1.15 exact (zenon_H13 zenon_H14). % 0.96/1.15 (* end of lemma zenon_L10_ *) % 0.96/1.15 assert (zenon_L11_ : ((hskp15)\/((hskp19)\/(hskp1))) -> (~(hskp15)) -> (~(hskp19)) -> (~(hskp1)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H15 zenon_H11 zenon_H13 zenon_H5. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H15); [ zenon_intro zenon_H12 | zenon_intro zenon_H16 ]. % 0.96/1.15 exact (zenon_H11 zenon_H12). % 0.96/1.15 apply (zenon_or_s _ _ zenon_H16); [ zenon_intro zenon_H14 | zenon_intro zenon_H6 ]. % 0.96/1.15 exact (zenon_H13 zenon_H14). % 0.96/1.15 exact (zenon_H5 zenon_H6). % 0.96/1.15 (* end of lemma zenon_L11_ *) % 0.96/1.15 assert (zenon_L12_ : (~(hskp12)) -> (hskp12) -> False). % 0.96/1.15 do 0 intro. intros zenon_H17 zenon_H18. % 0.96/1.15 exact (zenon_H17 zenon_H18). % 0.96/1.15 (* end of lemma zenon_L12_ *) % 0.96/1.15 assert (zenon_L13_ : (~(hskp25)) -> (hskp25) -> False). % 0.96/1.15 do 0 intro. intros zenon_H19 zenon_H1a. % 0.96/1.15 exact (zenon_H19 zenon_H1a). % 0.96/1.15 (* end of lemma zenon_L13_ *) % 0.96/1.15 assert (zenon_L14_ : (~(hskp24)) -> (hskp24) -> False). % 0.96/1.15 do 0 intro. intros zenon_H1b zenon_H1c. % 0.96/1.15 exact (zenon_H1b zenon_H1c). % 0.96/1.15 (* end of lemma zenon_L14_ *) % 0.96/1.15 assert (zenon_L15_ : ((hskp12)\/((hskp25)\/(hskp24))) -> (~(hskp12)) -> (~(hskp25)) -> (~(hskp24)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H1d zenon_H17 zenon_H19 zenon_H1b. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H18 | zenon_intro zenon_H1e ]. % 0.96/1.15 exact (zenon_H17 zenon_H18). % 0.96/1.15 apply (zenon_or_s _ _ zenon_H1e); [ zenon_intro zenon_H1a | zenon_intro zenon_H1c ]. % 0.96/1.15 exact (zenon_H19 zenon_H1a). % 0.96/1.15 exact (zenon_H1b zenon_H1c). % 0.96/1.15 (* end of lemma zenon_L15_ *) % 0.96/1.15 assert (zenon_L16_ : (~(ndr1_0)) -> (ndr1_0) -> False). % 0.96/1.15 do 0 intro. intros zenon_H1f zenon_H20. % 0.96/1.15 exact (zenon_H1f zenon_H20). % 0.96/1.15 (* end of lemma zenon_L16_ *) % 0.96/1.15 assert (zenon_L17_ : (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16)))))) -> (ndr1_0) -> (~(c0_1 (a1709))) -> (c1_1 (a1709)) -> (c2_1 (a1709)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H21 zenon_H20 zenon_H22 zenon_H23 zenon_H24. % 0.96/1.15 generalize (zenon_H21 (a1709)). zenon_intro zenon_H25. % 0.96/1.15 apply (zenon_imply_s _ _ zenon_H25); [ zenon_intro zenon_H1f | zenon_intro zenon_H26 ]. % 0.96/1.15 exact (zenon_H1f zenon_H20). % 0.96/1.15 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_H28 | zenon_intro zenon_H27 ]. % 0.96/1.15 exact (zenon_H22 zenon_H28). % 0.96/1.15 apply (zenon_or_s _ _ zenon_H27); [ zenon_intro zenon_H2a | zenon_intro zenon_H29 ]. % 0.96/1.15 exact (zenon_H2a zenon_H23). % 0.96/1.15 exact (zenon_H29 zenon_H24). % 0.96/1.15 (* end of lemma zenon_L17_ *) % 0.96/1.15 assert (zenon_L18_ : (~(hskp13)) -> (hskp13) -> False). % 0.96/1.15 do 0 intro. intros zenon_H2b zenon_H2c. % 0.96/1.15 exact (zenon_H2b zenon_H2c). % 0.96/1.15 (* end of lemma zenon_L18_ *) % 0.96/1.15 assert (zenon_L19_ : (~(hskp11)) -> (hskp11) -> False). % 0.96/1.15 do 0 intro. intros zenon_H2d zenon_H2e. % 0.96/1.15 exact (zenon_H2d zenon_H2e). % 0.96/1.15 (* end of lemma zenon_L19_ *) % 0.96/1.15 assert (zenon_L20_ : ((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> (~(hskp13)) -> (~(hskp11)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H2f zenon_H30 zenon_H2b zenon_H2d. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H20. zenon_intro zenon_H31. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H23. zenon_intro zenon_H32. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H24. zenon_intro zenon_H22. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H21 | zenon_intro zenon_H33 ]. % 0.96/1.15 apply (zenon_L17_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H2c | zenon_intro zenon_H2e ]. % 0.96/1.15 exact (zenon_H2b zenon_H2c). % 0.96/1.15 exact (zenon_H2d zenon_H2e). % 0.96/1.15 (* end of lemma zenon_L20_ *) % 0.96/1.15 assert (zenon_L21_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> (~(hskp11)) -> (~(hskp13)) -> (~(hskp12)) -> (~(hskp24)) -> ((hskp12)\/((hskp25)\/(hskp24))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H34 zenon_H30 zenon_H2d zenon_H2b zenon_H17 zenon_H1b zenon_H1d. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 0.96/1.15 apply (zenon_L15_); trivial. % 0.96/1.15 apply (zenon_L20_); trivial. % 0.96/1.15 (* end of lemma zenon_L21_ *) % 0.96/1.15 assert (zenon_L22_ : (forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15)))))) -> (ndr1_0) -> (~(c0_1 (a1701))) -> (~(c1_1 (a1701))) -> (c3_1 (a1701)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H35 zenon_H20 zenon_H36 zenon_H37 zenon_H38. % 0.96/1.15 generalize (zenon_H35 (a1701)). zenon_intro zenon_H39. % 0.96/1.15 apply (zenon_imply_s _ _ zenon_H39); [ zenon_intro zenon_H1f | zenon_intro zenon_H3a ]. % 0.96/1.15 exact (zenon_H1f zenon_H20). % 0.96/1.15 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H3c | zenon_intro zenon_H3b ]. % 0.96/1.15 exact (zenon_H36 zenon_H3c). % 0.96/1.15 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H3e | zenon_intro zenon_H3d ]. % 0.96/1.15 exact (zenon_H37 zenon_H3e). % 0.96/1.15 exact (zenon_H3d zenon_H38). % 0.96/1.15 (* end of lemma zenon_L22_ *) % 0.96/1.15 assert (zenon_L23_ : (~(hskp28)) -> (hskp28) -> False). % 0.96/1.15 do 0 intro. intros zenon_H3f zenon_H40. % 0.96/1.15 exact (zenon_H3f zenon_H40). % 0.96/1.15 (* end of lemma zenon_L23_ *) % 0.96/1.15 assert (zenon_L24_ : ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> (c3_1 (a1701)) -> (~(c1_1 (a1701))) -> (~(c0_1 (a1701))) -> (ndr1_0) -> (~(hskp0)) -> (~(hskp28)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H41 zenon_H38 zenon_H37 zenon_H36 zenon_H20 zenon_H1 zenon_H3f. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H35 | zenon_intro zenon_H42 ]. % 0.96/1.15 apply (zenon_L22_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2 | zenon_intro zenon_H40 ]. % 0.96/1.15 exact (zenon_H1 zenon_H2). % 0.96/1.15 exact (zenon_H3f zenon_H40). % 0.96/1.15 (* end of lemma zenon_L24_ *) % 0.96/1.15 assert (zenon_L25_ : (forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))) -> (ndr1_0) -> (~(c3_1 (a1682))) -> (c1_1 (a1682)) -> (c2_1 (a1682)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H43 zenon_H20 zenon_H44 zenon_H45 zenon_H46. % 0.96/1.15 generalize (zenon_H43 (a1682)). zenon_intro zenon_H47. % 0.96/1.15 apply (zenon_imply_s _ _ zenon_H47); [ zenon_intro zenon_H1f | zenon_intro zenon_H48 ]. % 0.96/1.15 exact (zenon_H1f zenon_H20). % 0.96/1.15 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H4a | zenon_intro zenon_H49 ]. % 0.96/1.15 exact (zenon_H44 zenon_H4a). % 0.96/1.15 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H4c | zenon_intro zenon_H4b ]. % 0.96/1.15 exact (zenon_H4c zenon_H45). % 0.96/1.15 exact (zenon_H4b zenon_H46). % 0.96/1.15 (* end of lemma zenon_L25_ *) % 0.96/1.15 assert (zenon_L26_ : (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16)))))) -> (ndr1_0) -> (~(c0_1 (a1646))) -> (c1_1 (a1646)) -> (c2_1 (a1646)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H21 zenon_H20 zenon_H4d zenon_H4e zenon_H4f. % 0.96/1.15 generalize (zenon_H21 (a1646)). zenon_intro zenon_H50. % 0.96/1.15 apply (zenon_imply_s _ _ zenon_H50); [ zenon_intro zenon_H1f | zenon_intro zenon_H51 ]. % 0.96/1.15 exact (zenon_H1f zenon_H20). % 0.96/1.15 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H53 | zenon_intro zenon_H52 ]. % 0.96/1.15 exact (zenon_H4d zenon_H53). % 0.96/1.15 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H55 | zenon_intro zenon_H54 ]. % 0.96/1.15 exact (zenon_H55 zenon_H4e). % 0.96/1.15 exact (zenon_H54 zenon_H4f). % 0.96/1.15 (* end of lemma zenon_L26_ *) % 0.96/1.15 assert (zenon_L27_ : (forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))) -> (ndr1_0) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16)))))) -> (c1_1 (a1646)) -> (c2_1 (a1646)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H56 zenon_H20 zenon_H21 zenon_H4e zenon_H4f. % 0.96/1.15 generalize (zenon_H56 (a1646)). zenon_intro zenon_H57. % 0.96/1.15 apply (zenon_imply_s _ _ zenon_H57); [ zenon_intro zenon_H1f | zenon_intro zenon_H58 ]. % 0.96/1.15 exact (zenon_H1f zenon_H20). % 0.96/1.15 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H4d | zenon_intro zenon_H52 ]. % 0.96/1.15 apply (zenon_L26_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H55 | zenon_intro zenon_H54 ]. % 0.96/1.15 exact (zenon_H55 zenon_H4e). % 0.96/1.15 exact (zenon_H54 zenon_H4f). % 0.96/1.15 (* end of lemma zenon_L27_ *) % 0.96/1.15 assert (zenon_L28_ : ((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c3_1 (a1682))) -> (c1_1 (a1682)) -> (c2_1 (a1682)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (c3_1 (a1701)) -> (~(c1_1 (a1701))) -> (~(c0_1 (a1701))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H59 zenon_H5a zenon_H44 zenon_H45 zenon_H46 zenon_H5b zenon_H38 zenon_H37 zenon_H36. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H21 ]. % 0.96/1.15 apply (zenon_L22_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H35 | zenon_intro zenon_H5f ]. % 0.96/1.15 apply (zenon_L22_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H43 | zenon_intro zenon_H56 ]. % 0.96/1.15 apply (zenon_L25_); trivial. % 0.96/1.15 apply (zenon_L27_); trivial. % 0.96/1.15 (* end of lemma zenon_L28_ *) % 0.96/1.15 assert (zenon_L29_ : ((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c3_1 (a1682))) -> (c1_1 (a1682)) -> (c2_1 (a1682)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H60 zenon_H61 zenon_H5a zenon_H44 zenon_H45 zenon_H46 zenon_H5b zenon_H1 zenon_H41. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H20. zenon_intro zenon_H62. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H38. zenon_intro zenon_H63. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H36. zenon_intro zenon_H37. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 0.96/1.15 apply (zenon_L24_); trivial. % 0.96/1.15 apply (zenon_L28_); trivial. % 0.96/1.15 (* end of lemma zenon_L29_ *) % 0.96/1.15 assert (zenon_L30_ : ((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(hskp12)) -> (~(hskp13)) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H64 zenon_H65 zenon_H61 zenon_H5a zenon_H5b zenon_H1 zenon_H41 zenon_H1d zenon_H17 zenon_H2b zenon_H2d zenon_H30 zenon_H34. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H20. zenon_intro zenon_H66. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H45. zenon_intro zenon_H67. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 0.96/1.15 apply (zenon_L21_); trivial. % 0.96/1.15 apply (zenon_L29_); trivial. % 0.96/1.15 (* end of lemma zenon_L30_ *) % 0.96/1.15 assert (zenon_L31_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(hskp12)) -> (~(hskp13)) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> (~(hskp15)) -> (~(hskp1)) -> ((hskp15)\/((hskp19)\/(hskp1))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H68 zenon_H65 zenon_H61 zenon_H5a zenon_H5b zenon_H1 zenon_H41 zenon_H1d zenon_H17 zenon_H2b zenon_H2d zenon_H30 zenon_H34 zenon_H11 zenon_H5 zenon_H15. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 0.96/1.15 apply (zenon_L11_); trivial. % 0.96/1.15 apply (zenon_L30_); trivial. % 0.96/1.15 (* end of lemma zenon_L31_ *) % 0.96/1.15 assert (zenon_L32_ : (forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))) -> (ndr1_0) -> (~(c1_1 (a1664))) -> (~(c2_1 (a1664))) -> (c0_1 (a1664)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H69 zenon_H20 zenon_H6a zenon_H6b zenon_H6c. % 0.96/1.15 generalize (zenon_H69 (a1664)). zenon_intro zenon_H6d. % 0.96/1.15 apply (zenon_imply_s _ _ zenon_H6d); [ zenon_intro zenon_H1f | zenon_intro zenon_H6e ]. % 0.96/1.15 exact (zenon_H1f zenon_H20). % 0.96/1.15 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H70 | zenon_intro zenon_H6f ]. % 0.96/1.15 exact (zenon_H6a zenon_H70). % 0.96/1.15 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H72 | zenon_intro zenon_H71 ]. % 0.96/1.15 exact (zenon_H6b zenon_H72). % 0.96/1.15 exact (zenon_H71 zenon_H6c). % 0.96/1.15 (* end of lemma zenon_L32_ *) % 0.96/1.15 assert (zenon_L33_ : (~(hskp16)) -> (hskp16) -> False). % 0.96/1.15 do 0 intro. intros zenon_H73 zenon_H74. % 0.96/1.15 exact (zenon_H73 zenon_H74). % 0.96/1.15 (* end of lemma zenon_L33_ *) % 0.96/1.15 assert (zenon_L34_ : ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> (c0_1 (a1664)) -> (~(c2_1 (a1664))) -> (~(c1_1 (a1664))) -> (ndr1_0) -> (~(hskp16)) -> (~(hskp0)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H75 zenon_H6c zenon_H6b zenon_H6a zenon_H20 zenon_H73 zenon_H1. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H69 | zenon_intro zenon_H76 ]. % 0.96/1.15 apply (zenon_L32_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H74 | zenon_intro zenon_H2 ]. % 0.96/1.15 exact (zenon_H73 zenon_H74). % 0.96/1.15 exact (zenon_H1 zenon_H2). % 0.96/1.15 (* end of lemma zenon_L34_ *) % 0.96/1.15 assert (zenon_L35_ : (forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40)))))) -> (ndr1_0) -> (~(c1_1 (a1667))) -> (c0_1 (a1667)) -> (c2_1 (a1667)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H77 zenon_H20 zenon_H78 zenon_H79 zenon_H7a. % 0.96/1.15 generalize (zenon_H77 (a1667)). zenon_intro zenon_H7b. % 0.96/1.15 apply (zenon_imply_s _ _ zenon_H7b); [ zenon_intro zenon_H1f | zenon_intro zenon_H7c ]. % 0.96/1.15 exact (zenon_H1f zenon_H20). % 0.96/1.15 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H7e | zenon_intro zenon_H7d ]. % 0.96/1.15 exact (zenon_H78 zenon_H7e). % 0.96/1.15 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H80 | zenon_intro zenon_H7f ]. % 0.96/1.15 exact (zenon_H80 zenon_H79). % 0.96/1.15 exact (zenon_H7f zenon_H7a). % 0.96/1.15 (* end of lemma zenon_L35_ *) % 0.96/1.15 assert (zenon_L36_ : (forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75)))))) -> (ndr1_0) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H81 zenon_H20 zenon_H82 zenon_H83 zenon_H84. % 0.96/1.15 generalize (zenon_H81 (a1640)). zenon_intro zenon_H85. % 0.96/1.15 apply (zenon_imply_s _ _ zenon_H85); [ zenon_intro zenon_H1f | zenon_intro zenon_H86 ]. % 0.96/1.15 exact (zenon_H1f zenon_H20). % 0.96/1.15 apply (zenon_or_s _ _ zenon_H86); [ zenon_intro zenon_H88 | zenon_intro zenon_H87 ]. % 0.96/1.15 exact (zenon_H82 zenon_H88). % 0.96/1.15 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H8a | zenon_intro zenon_H89 ]. % 0.96/1.15 exact (zenon_H8a zenon_H83). % 0.96/1.15 exact (zenon_H89 zenon_H84). % 0.96/1.15 (* end of lemma zenon_L36_ *) % 0.96/1.15 assert (zenon_L37_ : (~(hskp17)) -> (hskp17) -> False). % 0.96/1.15 do 0 intro. intros zenon_H8b zenon_H8c. % 0.96/1.15 exact (zenon_H8b zenon_H8c). % 0.96/1.15 (* end of lemma zenon_L37_ *) % 0.96/1.15 assert (zenon_L38_ : ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (c2_1 (a1667)) -> (c0_1 (a1667)) -> (~(c1_1 (a1667))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (ndr1_0) -> (~(hskp17)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H8d zenon_H7a zenon_H79 zenon_H78 zenon_H84 zenon_H83 zenon_H82 zenon_H20 zenon_H8b. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H77 | zenon_intro zenon_H8e ]. % 0.96/1.15 apply (zenon_L35_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H81 | zenon_intro zenon_H8c ]. % 0.96/1.15 apply (zenon_L36_); trivial. % 0.96/1.15 exact (zenon_H8b zenon_H8c). % 0.96/1.15 (* end of lemma zenon_L38_ *) % 0.96/1.15 assert (zenon_L39_ : (~(hskp27)) -> (hskp27) -> False). % 0.96/1.15 do 0 intro. intros zenon_H8f zenon_H90. % 0.96/1.15 exact (zenon_H8f zenon_H90). % 0.96/1.15 (* end of lemma zenon_L39_ *) % 0.96/1.15 assert (zenon_L40_ : (~(hskp20)) -> (hskp20) -> False). % 0.96/1.15 do 0 intro. intros zenon_H91 zenon_H92. % 0.96/1.15 exact (zenon_H91 zenon_H92). % 0.96/1.15 (* end of lemma zenon_L40_ *) % 0.96/1.15 assert (zenon_L41_ : (~(hskp30)) -> (hskp30) -> False). % 0.96/1.15 do 0 intro. intros zenon_H93 zenon_H94. % 0.96/1.15 exact (zenon_H93 zenon_H94). % 0.96/1.15 (* end of lemma zenon_L41_ *) % 0.96/1.15 assert (zenon_L42_ : ((hskp27)\/((hskp20)\/(hskp30))) -> (~(hskp27)) -> (~(hskp20)) -> (~(hskp30)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H95 zenon_H8f zenon_H91 zenon_H93. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H90 | zenon_intro zenon_H96 ]. % 0.96/1.15 exact (zenon_H8f zenon_H90). % 0.96/1.15 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H92 | zenon_intro zenon_H94 ]. % 0.96/1.15 exact (zenon_H91 zenon_H92). % 0.96/1.15 exact (zenon_H93 zenon_H94). % 0.96/1.15 (* end of lemma zenon_L42_ *) % 0.96/1.15 assert (zenon_L43_ : (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7)))))) -> (ndr1_0) -> (~(c0_1 (a1675))) -> (~(c1_1 (a1675))) -> (c2_1 (a1675)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H97 zenon_H20 zenon_H98 zenon_H99 zenon_H9a. % 0.96/1.15 generalize (zenon_H97 (a1675)). zenon_intro zenon_H9b. % 0.96/1.15 apply (zenon_imply_s _ _ zenon_H9b); [ zenon_intro zenon_H1f | zenon_intro zenon_H9c ]. % 0.96/1.15 exact (zenon_H1f zenon_H20). % 0.96/1.15 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9e | zenon_intro zenon_H9d ]. % 0.96/1.15 exact (zenon_H98 zenon_H9e). % 0.96/1.15 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H9f ]. % 0.96/1.15 exact (zenon_H99 zenon_Ha0). % 0.96/1.15 exact (zenon_H9f zenon_H9a). % 0.96/1.15 (* end of lemma zenon_L43_ *) % 0.96/1.15 assert (zenon_L44_ : (forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))) -> (ndr1_0) -> (c0_1 (a1712)) -> (forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))) -> (c2_1 (a1712)) -> (c3_1 (a1712)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H56 zenon_H20 zenon_Ha1 zenon_Ha2 zenon_Ha3 zenon_Ha4. % 0.96/1.15 generalize (zenon_H56 (a1712)). zenon_intro zenon_Ha5. % 0.96/1.15 apply (zenon_imply_s _ _ zenon_Ha5); [ zenon_intro zenon_H1f | zenon_intro zenon_Ha6 ]. % 0.96/1.15 exact (zenon_H1f zenon_H20). % 0.96/1.15 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ]. % 0.96/1.15 exact (zenon_Ha8 zenon_Ha1). % 0.96/1.15 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_Haa | zenon_intro zenon_Ha9 ]. % 0.96/1.15 generalize (zenon_Ha2 (a1712)). zenon_intro zenon_Hab. % 0.96/1.15 apply (zenon_imply_s _ _ zenon_Hab); [ zenon_intro zenon_H1f | zenon_intro zenon_Hac ]. % 0.96/1.15 exact (zenon_H1f zenon_H20). % 0.96/1.15 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_Hae | zenon_intro zenon_Had ]. % 0.96/1.15 exact (zenon_Haa zenon_Hae). % 0.96/1.15 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Haf ]. % 0.96/1.15 exact (zenon_Ha9 zenon_Ha3). % 0.96/1.15 exact (zenon_Haf zenon_Ha4). % 0.96/1.15 exact (zenon_Ha9 zenon_Ha3). % 0.96/1.15 (* end of lemma zenon_L44_ *) % 0.96/1.15 assert (zenon_L45_ : (~(hskp21)) -> (hskp21) -> False). % 0.96/1.15 do 0 intro. intros zenon_Hb0 zenon_Hb1. % 0.96/1.15 exact (zenon_Hb0 zenon_Hb1). % 0.96/1.15 (* end of lemma zenon_L45_ *) % 0.96/1.15 assert (zenon_L46_ : ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (c3_1 (a1712)) -> (c2_1 (a1712)) -> (forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))) -> (c0_1 (a1712)) -> (ndr1_0) -> (~(hskp20)) -> (~(hskp21)) -> False). % 0.96/1.15 do 0 intro. intros zenon_Hb2 zenon_Ha4 zenon_Ha3 zenon_Ha2 zenon_Ha1 zenon_H20 zenon_H91 zenon_Hb0. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H56 | zenon_intro zenon_Hb3 ]. % 0.96/1.15 apply (zenon_L44_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H92 | zenon_intro zenon_Hb1 ]. % 0.96/1.15 exact (zenon_H91 zenon_H92). % 0.96/1.15 exact (zenon_Hb0 zenon_Hb1). % 0.96/1.15 (* end of lemma zenon_L46_ *) % 0.96/1.15 assert (zenon_L47_ : (forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))) -> (ndr1_0) -> (c0_1 (a1635)) -> (c1_1 (a1635)) -> (c2_1 (a1635)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H56 zenon_H20 zenon_Hb4 zenon_Hb5 zenon_Hb6. % 0.96/1.15 generalize (zenon_H56 (a1635)). zenon_intro zenon_Hb7. % 0.96/1.15 apply (zenon_imply_s _ _ zenon_Hb7); [ zenon_intro zenon_H1f | zenon_intro zenon_Hb8 ]. % 0.96/1.15 exact (zenon_H1f zenon_H20). % 0.96/1.15 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hba | zenon_intro zenon_Hb9 ]. % 0.96/1.15 exact (zenon_Hba zenon_Hb4). % 0.96/1.15 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hbb ]. % 0.96/1.15 exact (zenon_Hbc zenon_Hb5). % 0.96/1.15 exact (zenon_Hbb zenon_Hb6). % 0.96/1.15 (* end of lemma zenon_L47_ *) % 0.96/1.15 assert (zenon_L48_ : ((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(hskp20)) -> (~(hskp21)) -> False). % 0.96/1.15 do 0 intro. intros zenon_Hbd zenon_Hb2 zenon_H91 zenon_Hb0. % 0.96/1.15 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_H20. zenon_intro zenon_Hbe. % 0.96/1.15 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hbf. % 0.96/1.15 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Hb5. zenon_intro zenon_Hb6. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H56 | zenon_intro zenon_Hb3 ]. % 0.96/1.15 apply (zenon_L47_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H92 | zenon_intro zenon_Hb1 ]. % 0.96/1.15 exact (zenon_H91 zenon_H92). % 0.96/1.15 exact (zenon_Hb0 zenon_Hb1). % 0.96/1.15 (* end of lemma zenon_L48_ *) % 0.96/1.15 assert (zenon_L49_ : (forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))) -> (ndr1_0) -> (~(c1_1 (a1691))) -> (c2_1 (a1691)) -> (c3_1 (a1691)) -> False). % 0.96/1.15 do 0 intro. intros zenon_Ha2 zenon_H20 zenon_Hc0 zenon_Hc1 zenon_Hc2. % 0.96/1.15 generalize (zenon_Ha2 (a1691)). zenon_intro zenon_Hc3. % 0.96/1.15 apply (zenon_imply_s _ _ zenon_Hc3); [ zenon_intro zenon_H1f | zenon_intro zenon_Hc4 ]. % 0.96/1.15 exact (zenon_H1f zenon_H20). % 0.96/1.15 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc5 ]. % 0.96/1.15 exact (zenon_Hc0 zenon_Hc6). % 0.96/1.15 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hc7 ]. % 0.96/1.15 exact (zenon_Hc8 zenon_Hc1). % 0.96/1.15 exact (zenon_Hc7 zenon_Hc2). % 0.96/1.15 (* end of lemma zenon_L49_ *) % 0.96/1.15 assert (zenon_L50_ : ((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (c2_1 (a1675)) -> (~(c1_1 (a1675))) -> (~(c0_1 (a1675))) -> (c0_1 (a1664)) -> (~(c2_1 (a1664))) -> (~(c1_1 (a1664))) -> False). % 0.96/1.15 do 0 intro. intros zenon_Hc9 zenon_Hca zenon_H9a zenon_H99 zenon_H98 zenon_H6c zenon_H6b zenon_H6a. % 0.96/1.15 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H20. zenon_intro zenon_Hcb. % 0.96/1.15 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc1. zenon_intro zenon_Hcc. % 0.96/1.15 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc2. zenon_intro zenon_Hc0. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H97 | zenon_intro zenon_Hcd ]. % 0.96/1.15 apply (zenon_L43_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H69 | zenon_intro zenon_Ha2 ]. % 0.96/1.15 apply (zenon_L32_); trivial. % 0.96/1.15 apply (zenon_L49_); trivial. % 0.96/1.15 (* end of lemma zenon_L50_ *) % 0.96/1.15 assert (zenon_L51_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (c0_1 (a1664)) -> (~(c2_1 (a1664))) -> (~(c1_1 (a1664))) -> (c2_1 (a1675)) -> (~(c1_1 (a1675))) -> (~(c0_1 (a1675))) -> (~(hskp20)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> False). % 0.96/1.15 do 0 intro. intros zenon_Hce zenon_Hcf zenon_Hca zenon_Hb2 zenon_H6c zenon_H6b zenon_H6a zenon_H9a zenon_H99 zenon_H98 zenon_H91 zenon_H95 zenon_Hd0. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H8f | zenon_intro zenon_Hbd ]. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H93 | zenon_intro zenon_Hd1 ]. % 0.96/1.15 apply (zenon_L42_); trivial. % 0.96/1.15 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H20. zenon_intro zenon_Hd2. % 0.96/1.15 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Ha1. zenon_intro zenon_Hd3. % 0.96/1.15 apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_Ha3. zenon_intro zenon_Ha4. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H97 | zenon_intro zenon_Hcd ]. % 0.96/1.15 apply (zenon_L43_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H69 | zenon_intro zenon_Ha2 ]. % 0.96/1.15 apply (zenon_L32_); trivial. % 0.96/1.15 apply (zenon_L46_); trivial. % 0.96/1.15 apply (zenon_L48_); trivial. % 0.96/1.15 apply (zenon_L50_); trivial. % 0.96/1.15 (* end of lemma zenon_L51_ *) % 0.96/1.15 assert (zenon_L52_ : (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2))))) -> (ndr1_0) -> (~(c0_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c3_1 (a1644))) -> False). % 0.96/1.15 do 0 intro. intros zenon_Hd4 zenon_H20 zenon_Hd5 zenon_Hd6 zenon_Hd7. % 0.96/1.15 generalize (zenon_Hd4 (a1644)). zenon_intro zenon_Hd8. % 0.96/1.15 apply (zenon_imply_s _ _ zenon_Hd8); [ zenon_intro zenon_H1f | zenon_intro zenon_Hd9 ]. % 0.96/1.15 exact (zenon_H1f zenon_H20). % 0.96/1.15 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hda ]. % 0.96/1.15 exact (zenon_Hd5 zenon_Hdb). % 0.96/1.15 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hdd | zenon_intro zenon_Hdc ]. % 0.96/1.15 exact (zenon_Hd6 zenon_Hdd). % 0.96/1.15 exact (zenon_Hd7 zenon_Hdc). % 0.96/1.15 (* end of lemma zenon_L52_ *) % 0.96/1.15 assert (zenon_L53_ : (forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (ndr1_0) -> (~(c2_1 (a1689))) -> (c0_1 (a1689)) -> (c1_1 (a1689)) -> False). % 0.96/1.15 do 0 intro. intros zenon_Hde zenon_H20 zenon_Hdf zenon_He0 zenon_He1. % 0.96/1.15 generalize (zenon_Hde (a1689)). zenon_intro zenon_He2. % 0.96/1.15 apply (zenon_imply_s _ _ zenon_He2); [ zenon_intro zenon_H1f | zenon_intro zenon_He3 ]. % 0.96/1.15 exact (zenon_H1f zenon_H20). % 0.96/1.15 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_He5 | zenon_intro zenon_He4 ]. % 0.96/1.15 exact (zenon_Hdf zenon_He5). % 0.96/1.15 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ]. % 0.96/1.15 exact (zenon_He7 zenon_He0). % 0.96/1.15 exact (zenon_He6 zenon_He1). % 0.96/1.15 (* end of lemma zenon_L53_ *) % 0.96/1.15 assert (zenon_L54_ : (~(hskp4)) -> (hskp4) -> False). % 0.96/1.15 do 0 intro. intros zenon_He8 zenon_He9. % 0.96/1.15 exact (zenon_He8 zenon_He9). % 0.96/1.15 (* end of lemma zenon_L54_ *) % 0.96/1.15 assert (zenon_L55_ : ((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> (~(hskp4)) -> False). % 0.96/1.15 do 0 intro. intros zenon_Hea zenon_Heb zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_He8. % 0.96/1.15 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H20. zenon_intro zenon_Hec. % 0.96/1.15 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He0. zenon_intro zenon_Hed. % 0.96/1.15 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_He1. zenon_intro zenon_Hdf. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hee ]. % 0.96/1.15 apply (zenon_L52_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_Hde | zenon_intro zenon_He9 ]. % 0.96/1.15 apply (zenon_L53_); trivial. % 0.96/1.15 exact (zenon_He8 zenon_He9). % 0.96/1.15 (* end of lemma zenon_L55_ *) % 0.96/1.15 assert (zenon_L56_ : ((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> False). % 0.96/1.15 do 0 intro. intros zenon_Hef zenon_Hf0 zenon_Hf1 zenon_Hf2 zenon_Heb zenon_He8 zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_Hd0 zenon_H95 zenon_Hb2 zenon_Hca zenon_Hcf zenon_Hce zenon_H82 zenon_H83 zenon_H84 zenon_H8d zenon_H1 zenon_H75. % 0.96/1.15 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H20. zenon_intro zenon_Hf3. % 0.96/1.15 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H6c. zenon_intro zenon_Hf4. % 0.96/1.15 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H6a. zenon_intro zenon_H6b. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 0.96/1.15 apply (zenon_L34_); trivial. % 0.96/1.15 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_H20. zenon_intro zenon_Hf6. % 0.96/1.15 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H79. zenon_intro zenon_Hf7. % 0.96/1.15 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H7a. zenon_intro zenon_H78. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 0.96/1.15 apply (zenon_L38_); trivial. % 0.96/1.15 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_H20. zenon_intro zenon_Hf9. % 0.96/1.15 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H9a. zenon_intro zenon_Hfa. % 0.96/1.15 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_H98. zenon_intro zenon_H99. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 0.96/1.15 apply (zenon_L51_); trivial. % 0.96/1.15 apply (zenon_L55_); trivial. % 0.96/1.15 (* end of lemma zenon_L56_ *) % 0.96/1.15 assert (zenon_L57_ : (forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49)))))) -> (ndr1_0) -> (~(c2_1 (a1658))) -> (c1_1 (a1658)) -> (c3_1 (a1658)) -> False). % 0.96/1.15 do 0 intro. intros zenon_Hfb zenon_H20 zenon_Hfc zenon_Hfd zenon_Hfe. % 0.96/1.15 generalize (zenon_Hfb (a1658)). zenon_intro zenon_Hff. % 0.96/1.15 apply (zenon_imply_s _ _ zenon_Hff); [ zenon_intro zenon_H1f | zenon_intro zenon_H100 ]. % 0.96/1.15 exact (zenon_H1f zenon_H20). % 0.96/1.15 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H102 | zenon_intro zenon_H101 ]. % 0.96/1.15 exact (zenon_Hfc zenon_H102). % 0.96/1.15 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_H104 | zenon_intro zenon_H103 ]. % 0.96/1.15 exact (zenon_H104 zenon_Hfd). % 0.96/1.15 exact (zenon_H103 zenon_Hfe). % 0.96/1.15 (* end of lemma zenon_L57_ *) % 0.96/1.15 assert (zenon_L58_ : (~(hskp3)) -> (hskp3) -> False). % 0.96/1.15 do 0 intro. intros zenon_H105 zenon_H106. % 0.96/1.15 exact (zenon_H105 zenon_H106). % 0.96/1.15 (* end of lemma zenon_L58_ *) % 0.96/1.15 assert (zenon_L59_ : ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> (c3_1 (a1658)) -> (c1_1 (a1658)) -> (~(c2_1 (a1658))) -> (ndr1_0) -> (~(hskp21)) -> (~(hskp3)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H107 zenon_Hfe zenon_Hfd zenon_Hfc zenon_H20 zenon_Hb0 zenon_H105. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hfb | zenon_intro zenon_H108 ]. % 0.96/1.15 apply (zenon_L57_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H106 ]. % 0.96/1.15 exact (zenon_Hb0 zenon_Hb1). % 0.96/1.15 exact (zenon_H105 zenon_H106). % 0.96/1.15 (* end of lemma zenon_L59_ *) % 0.96/1.15 assert (zenon_L60_ : (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27)))))) -> (ndr1_0) -> (forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (~(c2_1 (a1658))) -> (c1_1 (a1658)) -> (c3_1 (a1658)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H109 zenon_H20 zenon_Hde zenon_Hfc zenon_Hfd zenon_Hfe. % 0.96/1.15 generalize (zenon_H109 (a1658)). zenon_intro zenon_H10a. % 0.96/1.15 apply (zenon_imply_s _ _ zenon_H10a); [ zenon_intro zenon_H1f | zenon_intro zenon_H10b ]. % 0.96/1.15 exact (zenon_H1f zenon_H20). % 0.96/1.15 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_H10d | zenon_intro zenon_H10c ]. % 0.96/1.15 generalize (zenon_Hde (a1658)). zenon_intro zenon_H10e. % 0.96/1.15 apply (zenon_imply_s _ _ zenon_H10e); [ zenon_intro zenon_H1f | zenon_intro zenon_H10f ]. % 0.96/1.15 exact (zenon_H1f zenon_H20). % 0.96/1.15 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H102 | zenon_intro zenon_H110 ]. % 0.96/1.15 exact (zenon_Hfc zenon_H102). % 0.96/1.15 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H111 | zenon_intro zenon_H104 ]. % 0.96/1.15 exact (zenon_H111 zenon_H10d). % 0.96/1.15 exact (zenon_H104 zenon_Hfd). % 0.96/1.15 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H102 | zenon_intro zenon_H103 ]. % 0.96/1.15 exact (zenon_Hfc zenon_H102). % 0.96/1.15 exact (zenon_H103 zenon_Hfe). % 0.96/1.15 (* end of lemma zenon_L60_ *) % 0.96/1.15 assert (zenon_L61_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> (c3_1 (a1658)) -> (c1_1 (a1658)) -> (~(c2_1 (a1658))) -> (forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (c3_1 (a1691)) -> (c2_1 (a1691)) -> (~(c1_1 (a1691))) -> (ndr1_0) -> (~(hskp12)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H112 zenon_Hfe zenon_Hfd zenon_Hfc zenon_Hde zenon_Hc2 zenon_Hc1 zenon_Hc0 zenon_H20 zenon_H17. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H109 | zenon_intro zenon_H113 ]. % 0.96/1.15 apply (zenon_L60_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H18 ]. % 0.96/1.15 apply (zenon_L49_); trivial. % 0.96/1.15 exact (zenon_H17 zenon_H18). % 0.96/1.15 (* end of lemma zenon_L61_ *) % 0.96/1.15 assert (zenon_L62_ : ((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp12)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H114 zenon_Hce zenon_Heb zenon_He8 zenon_H17 zenon_H112 zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_H105 zenon_H107. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H20. zenon_intro zenon_H115. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_Hfd. zenon_intro zenon_H116. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hfe. zenon_intro zenon_Hfc. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 0.96/1.15 apply (zenon_L59_); trivial. % 0.96/1.15 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H20. zenon_intro zenon_Hcb. % 0.96/1.15 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc1. zenon_intro zenon_Hcc. % 0.96/1.15 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc2. zenon_intro zenon_Hc0. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hee ]. % 0.96/1.15 apply (zenon_L52_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_Hde | zenon_intro zenon_He9 ]. % 0.96/1.15 apply (zenon_L61_); trivial. % 0.96/1.15 exact (zenon_He8 zenon_He9). % 0.96/1.15 (* end of lemma zenon_L62_ *) % 0.96/1.15 assert (zenon_L63_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(hskp12)) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> (~(hskp1)) -> ((hskp15)\/((hskp19)\/(hskp1))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> (~(c0_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c3_1 (a1644))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H117 zenon_H112 zenon_H105 zenon_H107 zenon_H68 zenon_H65 zenon_H61 zenon_H5a zenon_H5b zenon_H1 zenon_H41 zenon_H1d zenon_H17 zenon_H2d zenon_H30 zenon_H34 zenon_H5 zenon_H15 zenon_H75 zenon_H8d zenon_H84 zenon_H83 zenon_H82 zenon_Hce zenon_Hcf zenon_Hca zenon_Hb2 zenon_H95 zenon_Hd0 zenon_Hd5 zenon_Hd6 zenon_Hd7 zenon_He8 zenon_Heb zenon_Hf2 zenon_Hf1 zenon_Hf0 zenon_H118. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H2b | zenon_intro zenon_H114 ]. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 0.96/1.15 apply (zenon_L31_); trivial. % 0.96/1.15 apply (zenon_L56_); trivial. % 0.96/1.15 apply (zenon_L62_); trivial. % 0.96/1.15 (* end of lemma zenon_L63_ *) % 0.96/1.15 assert (zenon_L64_ : (~(hskp18)) -> (hskp18) -> False). % 0.96/1.15 do 0 intro. intros zenon_H119 zenon_H11a. % 0.96/1.15 exact (zenon_H119 zenon_H11a). % 0.96/1.15 (* end of lemma zenon_L64_ *) % 0.96/1.15 assert (zenon_L65_ : ((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> (c2_1 (a1682)) -> (c1_1 (a1682)) -> (~(c3_1 (a1682))) -> (~(hskp18)) -> False). % 0.96/1.15 do 0 intro. intros zenon_Hc9 zenon_H11b zenon_H46 zenon_H45 zenon_H44 zenon_H119. % 0.96/1.15 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H20. zenon_intro zenon_Hcb. % 0.96/1.15 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc1. zenon_intro zenon_Hcc. % 0.96/1.15 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc2. zenon_intro zenon_Hc0. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H11c ]. % 0.96/1.15 apply (zenon_L49_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H43 | zenon_intro zenon_H11a ]. % 0.96/1.15 apply (zenon_L25_); trivial. % 0.96/1.15 exact (zenon_H119 zenon_H11a). % 0.96/1.15 (* end of lemma zenon_L65_ *) % 0.96/1.15 assert (zenon_L66_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> (~(hskp18)) -> (c2_1 (a1682)) -> (c1_1 (a1682)) -> (~(c3_1 (a1682))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(hskp20)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> False). % 0.96/1.15 do 0 intro. intros zenon_Hce zenon_Hcf zenon_H11b zenon_H119 zenon_H46 zenon_H45 zenon_H44 zenon_Hb2 zenon_H91 zenon_H95 zenon_Hd0. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H8f | zenon_intro zenon_Hbd ]. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H93 | zenon_intro zenon_Hd1 ]. % 0.96/1.15 apply (zenon_L42_); trivial. % 0.96/1.15 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H20. zenon_intro zenon_Hd2. % 0.96/1.15 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Ha1. zenon_intro zenon_Hd3. % 0.96/1.15 apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_Ha3. zenon_intro zenon_Ha4. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H11c ]. % 0.96/1.15 apply (zenon_L46_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H43 | zenon_intro zenon_H11a ]. % 0.96/1.15 apply (zenon_L25_); trivial. % 0.96/1.15 exact (zenon_H119 zenon_H11a). % 0.96/1.15 apply (zenon_L48_); trivial. % 0.96/1.15 apply (zenon_L65_); trivial. % 0.96/1.15 (* end of lemma zenon_L66_ *) % 0.96/1.15 assert (zenon_L67_ : ((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(hskp18)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H64 zenon_Hf2 zenon_Heb zenon_He8 zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_Hd0 zenon_H95 zenon_Hb2 zenon_H119 zenon_H11b zenon_Hcf zenon_Hce. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H20. zenon_intro zenon_H66. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H45. zenon_intro zenon_H67. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 0.96/1.15 apply (zenon_L66_); trivial. % 0.96/1.15 apply (zenon_L55_); trivial. % 0.96/1.15 (* end of lemma zenon_L67_ *) % 0.96/1.15 assert (zenon_L68_ : (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))) -> (ndr1_0) -> (~(c0_1 (a1680))) -> (~(c2_1 (a1680))) -> (c1_1 (a1680)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H11d zenon_H20 zenon_H11e zenon_H11f zenon_H120. % 0.96/1.15 generalize (zenon_H11d (a1680)). zenon_intro zenon_H121. % 0.96/1.15 apply (zenon_imply_s _ _ zenon_H121); [ zenon_intro zenon_H1f | zenon_intro zenon_H122 ]. % 0.96/1.15 exact (zenon_H1f zenon_H20). % 0.96/1.15 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H124 | zenon_intro zenon_H123 ]. % 0.96/1.15 exact (zenon_H11e zenon_H124). % 0.96/1.15 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H126 | zenon_intro zenon_H125 ]. % 0.96/1.15 exact (zenon_H11f zenon_H126). % 0.96/1.15 exact (zenon_H125 zenon_H120). % 0.96/1.15 (* end of lemma zenon_L68_ *) % 0.96/1.15 assert (zenon_L69_ : (forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))) -> (ndr1_0) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H127 zenon_H20 zenon_H128 zenon_H129 zenon_H12a. % 0.96/1.15 generalize (zenon_H127 (a1653)). zenon_intro zenon_H12b. % 0.96/1.15 apply (zenon_imply_s _ _ zenon_H12b); [ zenon_intro zenon_H1f | zenon_intro zenon_H12c ]. % 0.96/1.15 exact (zenon_H1f zenon_H20). % 0.96/1.15 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H12e | zenon_intro zenon_H12d ]. % 0.96/1.15 exact (zenon_H128 zenon_H12e). % 0.96/1.15 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H130 | zenon_intro zenon_H12f ]. % 0.96/1.15 exact (zenon_H130 zenon_H129). % 0.96/1.15 exact (zenon_H12f zenon_H12a). % 0.96/1.15 (* end of lemma zenon_L69_ *) % 0.96/1.15 assert (zenon_L70_ : ((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> (~(hskp11)) -> False). % 0.96/1.16 do 0 intro. intros zenon_H131 zenon_H132 zenon_H12a zenon_H129 zenon_H128 zenon_H2d. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H20. zenon_intro zenon_H133. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H120. zenon_intro zenon_H134. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H11d | zenon_intro zenon_H135 ]. % 0.96/1.16 apply (zenon_L68_); trivial. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H127 | zenon_intro zenon_H2e ]. % 0.96/1.16 apply (zenon_L69_); trivial. % 0.96/1.16 exact (zenon_H2d zenon_H2e). % 0.96/1.16 (* end of lemma zenon_L70_ *) % 0.96/1.16 assert (zenon_L71_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> (~(hskp11)) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> ((hskp15)\/((hskp19)\/(hskp1))) -> (~(hskp1)) -> (~(hskp15)) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> (~(c0_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c3_1 (a1644))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> False). % 0.96/1.16 do 0 intro. intros zenon_H136 zenon_H132 zenon_H2d zenon_H12a zenon_H129 zenon_H128 zenon_H15 zenon_H5 zenon_H11 zenon_Hce zenon_Hcf zenon_H11b zenon_Hb2 zenon_H95 zenon_Hd0 zenon_Hd5 zenon_Hd6 zenon_Hd7 zenon_He8 zenon_Heb zenon_Hf2 zenon_H68. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H119 | zenon_intro zenon_H131 ]. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 0.96/1.16 apply (zenon_L11_); trivial. % 0.96/1.16 apply (zenon_L67_); trivial. % 0.96/1.16 apply (zenon_L70_); trivial. % 0.96/1.16 (* end of lemma zenon_L71_ *) % 0.96/1.16 assert (zenon_L72_ : (~(hskp23)) -> (hskp23) -> False). % 0.96/1.16 do 0 intro. intros zenon_H137 zenon_H138. % 0.96/1.16 exact (zenon_H137 zenon_H138). % 0.96/1.16 (* end of lemma zenon_L72_ *) % 0.96/1.16 assert (zenon_L73_ : ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((hskp4)\/(hskp23))) -> (c2_1 (a1682)) -> (c1_1 (a1682)) -> (~(c3_1 (a1682))) -> (ndr1_0) -> (~(hskp4)) -> (~(hskp23)) -> False). % 0.96/1.16 do 0 intro. intros zenon_H139 zenon_H46 zenon_H45 zenon_H44 zenon_H20 zenon_He8 zenon_H137. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H43 | zenon_intro zenon_H13a ]. % 0.96/1.16 apply (zenon_L25_); trivial. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_He9 | zenon_intro zenon_H138 ]. % 0.96/1.16 exact (zenon_He8 zenon_He9). % 0.96/1.16 exact (zenon_H137 zenon_H138). % 0.96/1.16 (* end of lemma zenon_L73_ *) % 0.96/1.16 assert (zenon_L74_ : (forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43)))))) -> (ndr1_0) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> False). % 0.96/1.16 do 0 intro. intros zenon_H13b zenon_H20 zenon_H13c zenon_H13d zenon_H13e. % 0.96/1.16 generalize (zenon_H13b (a1650)). zenon_intro zenon_H13f. % 0.96/1.16 apply (zenon_imply_s _ _ zenon_H13f); [ zenon_intro zenon_H1f | zenon_intro zenon_H140 ]. % 0.96/1.16 exact (zenon_H1f zenon_H20). % 0.96/1.16 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H142 | zenon_intro zenon_H141 ]. % 0.96/1.16 exact (zenon_H13c zenon_H142). % 0.96/1.16 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H144 | zenon_intro zenon_H143 ]. % 0.96/1.16 exact (zenon_H13d zenon_H144). % 0.96/1.16 exact (zenon_H143 zenon_H13e). % 0.96/1.16 (* end of lemma zenon_L74_ *) % 0.96/1.16 assert (zenon_L75_ : (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44))))) -> (ndr1_0) -> (~(c1_1 (a1699))) -> (~(c2_1 (a1699))) -> (~(c3_1 (a1699))) -> False). % 0.96/1.16 do 0 intro. intros zenon_H145 zenon_H20 zenon_H146 zenon_H147 zenon_H148. % 0.96/1.16 generalize (zenon_H145 (a1699)). zenon_intro zenon_H149. % 0.96/1.16 apply (zenon_imply_s _ _ zenon_H149); [ zenon_intro zenon_H1f | zenon_intro zenon_H14a ]. % 0.96/1.16 exact (zenon_H1f zenon_H20). % 0.96/1.16 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H14c | zenon_intro zenon_H14b ]. % 0.96/1.16 exact (zenon_H146 zenon_H14c). % 0.96/1.16 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14e | zenon_intro zenon_H14d ]. % 0.96/1.16 exact (zenon_H147 zenon_H14e). % 0.96/1.16 exact (zenon_H148 zenon_H14d). % 0.96/1.16 (* end of lemma zenon_L75_ *) % 0.96/1.16 assert (zenon_L76_ : ((ndr1_0)/\((~(c1_1 (a1699)))/\((~(c2_1 (a1699)))/\(~(c3_1 (a1699)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp3))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(hskp3)) -> False). % 0.96/1.16 do 0 intro. intros zenon_H14f zenon_H150 zenon_H13e zenon_H13d zenon_H13c zenon_H105. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H20. zenon_intro zenon_H151. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H151). zenon_intro zenon_H146. zenon_intro zenon_H152. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_H147. zenon_intro zenon_H148. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H13b | zenon_intro zenon_H153 ]. % 0.96/1.16 apply (zenon_L74_); trivial. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_H145 | zenon_intro zenon_H106 ]. % 0.96/1.16 apply (zenon_L75_); trivial. % 0.96/1.16 exact (zenon_H105 zenon_H106). % 0.96/1.16 (* end of lemma zenon_L76_ *) % 0.96/1.16 assert (zenon_L77_ : ((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a1699)))/\((~(c2_1 (a1699)))/\(~(c3_1 (a1699))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((hskp4)\/(hskp23))) -> False). % 0.96/1.16 do 0 intro. intros zenon_H64 zenon_H154 zenon_H150 zenon_H105 zenon_H13e zenon_H13d zenon_H13c zenon_He8 zenon_H139. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H20. zenon_intro zenon_H66. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H45. zenon_intro zenon_H67. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H137 | zenon_intro zenon_H14f ]. % 0.96/1.16 apply (zenon_L73_); trivial. % 0.96/1.16 apply (zenon_L76_); trivial. % 0.96/1.16 (* end of lemma zenon_L77_ *) % 0.96/1.16 assert (zenon_L78_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a1699)))/\((~(c2_1 (a1699)))/\(~(c3_1 (a1699))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((hskp4)\/(hskp23))) -> (~(hskp15)) -> (~(hskp1)) -> ((hskp15)\/((hskp19)\/(hskp1))) -> False). % 0.96/1.16 do 0 intro. intros zenon_H68 zenon_H154 zenon_H150 zenon_H105 zenon_H13e zenon_H13d zenon_H13c zenon_He8 zenon_H139 zenon_H11 zenon_H5 zenon_H15. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 0.96/1.16 apply (zenon_L11_); trivial. % 0.96/1.16 apply (zenon_L77_); trivial. % 0.96/1.16 (* end of lemma zenon_L78_ *) % 0.96/1.16 assert (zenon_L79_ : ((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> ((hskp15)\/((hskp19)\/(hskp1))) -> (~(hskp1)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((hskp4)\/(hskp23))) -> (~(hskp4)) -> (~(hskp3)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a1699)))/\((~(c2_1 (a1699)))/\(~(c3_1 (a1699))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> False). % 0.96/1.16 do 0 intro. intros zenon_H155 zenon_H118 zenon_Hf0 zenon_Hf1 zenon_Hf2 zenon_Heb zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_Hd0 zenon_H95 zenon_Hb2 zenon_Hca zenon_Hcf zenon_Hce zenon_H82 zenon_H83 zenon_H84 zenon_H8d zenon_H1 zenon_H75 zenon_H15 zenon_H5 zenon_H139 zenon_He8 zenon_H105 zenon_H150 zenon_H154 zenon_H68. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 0.96/1.16 apply (zenon_L78_); trivial. % 0.96/1.16 apply (zenon_L56_); trivial. % 0.96/1.16 (* end of lemma zenon_L79_ *) % 0.96/1.16 assert (zenon_L80_ : ((ndr1_0)/\((~(c0_1 (a1644)))/\((~(c1_1 (a1644)))/\(~(c3_1 (a1644)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((hskp4)\/(hskp23))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a1699)))/\((~(c2_1 (a1699)))/\(~(c3_1 (a1699))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> (~(hskp1)) -> ((hskp15)\/((hskp19)\/(hskp1))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> False). % 0.96/1.16 do 0 intro. intros zenon_H158 zenon_H159 zenon_H139 zenon_H150 zenon_H154 zenon_H117 zenon_H112 zenon_H105 zenon_H107 zenon_H68 zenon_H65 zenon_H61 zenon_H5a zenon_H5b zenon_H1 zenon_H41 zenon_H1d zenon_H30 zenon_H34 zenon_H5 zenon_H15 zenon_H75 zenon_H8d zenon_H84 zenon_H83 zenon_H82 zenon_Hce zenon_Hcf zenon_Hca zenon_Hb2 zenon_H95 zenon_Hd0 zenon_He8 zenon_Heb zenon_Hf2 zenon_Hf1 zenon_Hf0 zenon_H118 zenon_H136 zenon_H132 zenon_H11b zenon_H15a. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H20. zenon_intro zenon_H15b. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_Hd5. zenon_intro zenon_H15c. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_Hd6. zenon_intro zenon_Hd7. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 0.96/1.16 apply (zenon_L63_); trivial. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 0.96/1.16 apply (zenon_L71_); trivial. % 0.96/1.16 apply (zenon_L56_); trivial. % 0.96/1.16 apply (zenon_L79_); trivial. % 0.96/1.16 (* end of lemma zenon_L80_ *) % 0.96/1.16 assert (zenon_L81_ : (forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y)))))) -> (ndr1_0) -> (~(c2_1 (a1642))) -> (~(c3_1 (a1642))) -> (c0_1 (a1642)) -> False). % 0.96/1.16 do 0 intro. intros zenon_H160 zenon_H20 zenon_H161 zenon_H162 zenon_H163. % 0.96/1.16 generalize (zenon_H160 (a1642)). zenon_intro zenon_H164. % 0.96/1.16 apply (zenon_imply_s _ _ zenon_H164); [ zenon_intro zenon_H1f | zenon_intro zenon_H165 ]. % 0.96/1.16 exact (zenon_H1f zenon_H20). % 0.96/1.16 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H167 | zenon_intro zenon_H166 ]. % 0.96/1.16 exact (zenon_H161 zenon_H167). % 0.96/1.16 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H169 | zenon_intro zenon_H168 ]. % 0.96/1.16 exact (zenon_H162 zenon_H169). % 0.96/1.16 exact (zenon_H168 zenon_H163). % 0.96/1.16 (* end of lemma zenon_L81_ *) % 0.96/1.16 assert (zenon_L82_ : ((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp9))) -> (c2_1 (a1682)) -> (c1_1 (a1682)) -> (~(c3_1 (a1682))) -> (~(hskp9)) -> False). % 0.96/1.16 do 0 intro. intros zenon_Hbd zenon_H16a zenon_H46 zenon_H45 zenon_H44 zenon_Hd. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_H20. zenon_intro zenon_Hbe. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hbf. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Hb5. zenon_intro zenon_Hb6. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H43 | zenon_intro zenon_H16b ]. % 0.96/1.16 apply (zenon_L25_); trivial. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H56 | zenon_intro zenon_He ]. % 0.96/1.16 apply (zenon_L47_); trivial. % 0.96/1.16 exact (zenon_Hd zenon_He). % 0.96/1.16 (* end of lemma zenon_L82_ *) % 0.96/1.16 assert (zenon_L83_ : ((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a1642))) -> (~(c3_1 (a1642))) -> (c0_1 (a1642)) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((hskp27)\/(hskp6))) -> False). % 0.96/1.16 do 0 intro. intros zenon_H64 zenon_Hd0 zenon_H16a zenon_Hd zenon_H161 zenon_H162 zenon_H163 zenon_Hb zenon_H16c. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H20. zenon_intro zenon_H66. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H45. zenon_intro zenon_H67. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.96/1.16 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H8f | zenon_intro zenon_Hbd ]. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H160 | zenon_intro zenon_H16d ]. % 0.96/1.16 apply (zenon_L81_); trivial. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H90 | zenon_intro zenon_Hc ]. % 0.96/1.16 exact (zenon_H8f zenon_H90). % 0.96/1.16 exact (zenon_Hb zenon_Hc). % 0.96/1.16 apply (zenon_L82_); trivial. % 0.96/1.16 (* end of lemma zenon_L83_ *) % 0.96/1.16 assert (zenon_L84_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a1642))) -> (~(c3_1 (a1642))) -> (c0_1 (a1642)) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((hskp27)\/(hskp6))) -> (~(hskp15)) -> (~(hskp1)) -> ((hskp15)\/((hskp19)\/(hskp1))) -> False). % 0.96/1.16 do 0 intro. intros zenon_H68 zenon_Hd0 zenon_H16a zenon_Hd zenon_H161 zenon_H162 zenon_H163 zenon_Hb zenon_H16c zenon_H11 zenon_H5 zenon_H15. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 0.96/1.16 apply (zenon_L11_); trivial. % 0.96/1.16 apply (zenon_L83_); trivial. % 0.96/1.16 (* end of lemma zenon_L84_ *) % 0.96/1.16 assert (zenon_L85_ : ((hskp19)\/((hskp21)\/(hskp6))) -> (~(hskp19)) -> (~(hskp21)) -> (~(hskp6)) -> False). % 0.96/1.16 do 0 intro. intros zenon_H16e zenon_H13 zenon_Hb0 zenon_Hb. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H14 | zenon_intro zenon_H16f ]. % 0.96/1.16 exact (zenon_H13 zenon_H14). % 0.96/1.16 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hc ]. % 0.96/1.16 exact (zenon_Hb0 zenon_Hb1). % 0.96/1.16 exact (zenon_Hb zenon_Hc). % 0.96/1.16 (* end of lemma zenon_L85_ *) % 0.96/1.16 assert (zenon_L86_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (c0_1 (a1664)) -> (~(c2_1 (a1664))) -> (~(c1_1 (a1664))) -> (c2_1 (a1675)) -> (~(c1_1 (a1675))) -> (~(c0_1 (a1675))) -> (~(hskp19)) -> (~(hskp6)) -> ((hskp19)\/((hskp21)\/(hskp6))) -> False). % 0.96/1.16 do 0 intro. intros zenon_Hce zenon_Hca zenon_H6c zenon_H6b zenon_H6a zenon_H9a zenon_H99 zenon_H98 zenon_H13 zenon_Hb zenon_H16e. % 0.96/1.16 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 0.96/1.16 apply (zenon_L85_); trivial. % 0.96/1.16 apply (zenon_L50_); trivial. % 0.96/1.16 (* end of lemma zenon_L86_ *) % 0.96/1.16 assert (zenon_L87_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((hskp19)\/((hskp21)\/(hskp6))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> ((hskp15)\/((hskp19)\/(hskp1))) -> (~(hskp1)) -> ((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/((hskp27)\/(hskp6))) -> (~(hskp6)) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> (~(c2_1 (a1642))) -> (~(hskp9)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> False). % 0.96/1.16 do 0 intro. intros zenon_H118 zenon_Hf0 zenon_Hf1 zenon_H16e zenon_Hca zenon_Hce zenon_H82 zenon_H83 zenon_H84 zenon_H8d zenon_H1 zenon_H75 zenon_H15 zenon_H5 zenon_H16c zenon_Hb zenon_H163 zenon_H162 zenon_H161 zenon_Hd zenon_H16a zenon_Hd0 zenon_H68. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 0.96/1.16 apply (zenon_L84_); trivial. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H20. zenon_intro zenon_Hf3. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H6c. zenon_intro zenon_Hf4. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H6a. zenon_intro zenon_H6b. % 0.96/1.16 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 0.96/1.16 apply (zenon_L34_); trivial. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_H20. zenon_intro zenon_Hf6. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H79. zenon_intro zenon_Hf7. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H7a. zenon_intro zenon_H78. % 0.96/1.16 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 0.96/1.16 apply (zenon_L38_); trivial. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_H20. zenon_intro zenon_Hf9. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H9a. zenon_intro zenon_Hfa. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_H98. zenon_intro zenon_H99. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 0.96/1.16 apply (zenon_L86_); trivial. % 0.96/1.16 apply (zenon_L83_); trivial. % 0.96/1.16 (* end of lemma zenon_L87_ *) % 0.96/1.16 assert (zenon_L88_ : ((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> (~(hskp21)) -> (~(hskp20)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(hskp28)) -> (~(hskp19)) -> False). % 0.96/1.16 do 0 intro. intros zenon_Hd1 zenon_H170 zenon_Hb0 zenon_H91 zenon_Hb2 zenon_H3f zenon_H13. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H20. zenon_intro zenon_Hd2. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Ha1. zenon_intro zenon_Hd3. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_Ha3. zenon_intro zenon_Ha4. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H171 ]. % 0.96/1.16 apply (zenon_L46_); trivial. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H40 | zenon_intro zenon_H14 ]. % 0.96/1.16 exact (zenon_H3f zenon_H40). % 0.96/1.16 exact (zenon_H13 zenon_H14). % 0.96/1.16 (* end of lemma zenon_L88_ *) % 0.96/1.16 assert (zenon_L89_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(hskp28)) -> (~(hskp21)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(hskp27)) -> (~(hskp20)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> False). % 0.96/1.16 do 0 intro. intros zenon_Hcf zenon_H170 zenon_H13 zenon_H3f zenon_Hb0 zenon_Hb2 zenon_H8f zenon_H91 zenon_H95. % 0.96/1.16 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H93 | zenon_intro zenon_Hd1 ]. % 0.96/1.16 apply (zenon_L42_); trivial. % 0.96/1.16 apply (zenon_L88_); trivial. % 0.96/1.16 (* end of lemma zenon_L89_ *) % 0.96/1.16 assert (zenon_L90_ : ((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp11))) -> (~(hskp7)) -> (~(hskp11)) -> False). % 0.96/1.16 do 0 intro. intros zenon_H59 zenon_H172 zenon_H9 zenon_H2d. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H174 | zenon_intro zenon_H173 ]. % 0.96/1.16 generalize (zenon_H174 (a1646)). zenon_intro zenon_H175. % 0.96/1.16 apply (zenon_imply_s _ _ zenon_H175); [ zenon_intro zenon_H1f | zenon_intro zenon_H176 ]. % 0.96/1.16 exact (zenon_H1f zenon_H20). % 0.96/1.16 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H55 | zenon_intro zenon_H177 ]. % 0.96/1.16 exact (zenon_H55 zenon_H4e). % 0.96/1.16 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H54 | zenon_intro zenon_H178 ]. % 0.96/1.16 exact (zenon_H54 zenon_H4f). % 0.96/1.16 exact (zenon_H178 zenon_H5e). % 0.96/1.16 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_Ha | zenon_intro zenon_H2e ]. % 0.96/1.16 exact (zenon_H9 zenon_Ha). % 0.96/1.16 exact (zenon_H2d zenon_H2e). % 0.96/1.16 (* end of lemma zenon_L90_ *) % 0.96/1.16 assert (zenon_L91_ : ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> (c3_1 (a1691)) -> (c2_1 (a1691)) -> (~(c1_1 (a1691))) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp19)) -> False). % 0.96/1.16 do 0 intro. intros zenon_H170 zenon_Hc2 zenon_Hc1 zenon_Hc0 zenon_H20 zenon_H3f zenon_H13. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H171 ]. % 0.96/1.16 apply (zenon_L49_); trivial. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H40 | zenon_intro zenon_H14 ]. % 0.96/1.16 exact (zenon_H3f zenon_H40). % 0.96/1.16 exact (zenon_H13 zenon_H14). % 0.96/1.16 (* end of lemma zenon_L91_ *) % 0.96/1.16 assert (zenon_L92_ : ((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp11))) -> (~(hskp11)) -> (~(hskp7)) -> (~(hskp19)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> False). % 0.96/1.16 do 0 intro. intros zenon_Hc9 zenon_H61 zenon_H172 zenon_H2d zenon_H9 zenon_H13 zenon_H170. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H20. zenon_intro zenon_Hcb. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc1. zenon_intro zenon_Hcc. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc2. zenon_intro zenon_Hc0. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 0.96/1.16 apply (zenon_L91_); trivial. % 0.96/1.16 apply (zenon_L90_); trivial. % 0.96/1.16 (* end of lemma zenon_L92_ *) % 0.96/1.16 assert (zenon_L93_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp11))) -> (~(hskp11)) -> (~(hskp7)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(hskp20)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(hskp19)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> False). % 0.96/1.16 do 0 intro. intros zenon_Hce zenon_H61 zenon_H172 zenon_H2d zenon_H9 zenon_H95 zenon_H91 zenon_Hb2 zenon_H13 zenon_H170 zenon_Hcf zenon_Hd0. % 0.96/1.16 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 0.96/1.16 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H8f | zenon_intro zenon_Hbd ]. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 0.96/1.16 apply (zenon_L89_); trivial. % 0.96/1.16 apply (zenon_L90_); trivial. % 0.96/1.16 apply (zenon_L48_); trivial. % 0.96/1.16 apply (zenon_L92_); trivial. % 0.96/1.16 (* end of lemma zenon_L93_ *) % 0.96/1.16 assert (zenon_L94_ : (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16)))))) -> (ndr1_0) -> (~(c0_1 (a1641))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2))))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> False). % 0.96/1.16 do 0 intro. intros zenon_H21 zenon_H20 zenon_H179 zenon_Hd4 zenon_H17a zenon_H17b. % 0.96/1.16 generalize (zenon_H21 (a1641)). zenon_intro zenon_H17c. % 0.96/1.16 apply (zenon_imply_s _ _ zenon_H17c); [ zenon_intro zenon_H1f | zenon_intro zenon_H17d ]. % 0.96/1.16 exact (zenon_H1f zenon_H20). % 0.96/1.16 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H17f | zenon_intro zenon_H17e ]. % 0.96/1.16 exact (zenon_H179 zenon_H17f). % 0.96/1.16 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H181 | zenon_intro zenon_H180 ]. % 0.96/1.16 generalize (zenon_Hd4 (a1641)). zenon_intro zenon_H182. % 0.96/1.16 apply (zenon_imply_s _ _ zenon_H182); [ zenon_intro zenon_H1f | zenon_intro zenon_H183 ]. % 0.96/1.16 exact (zenon_H1f zenon_H20). % 0.96/1.16 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H17f | zenon_intro zenon_H184 ]. % 0.96/1.16 exact (zenon_H179 zenon_H17f). % 0.96/1.16 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H186 | zenon_intro zenon_H185 ]. % 0.96/1.16 exact (zenon_H181 zenon_H186). % 0.96/1.16 exact (zenon_H17a zenon_H185). % 0.96/1.16 exact (zenon_H180 zenon_H17b). % 0.96/1.16 (* end of lemma zenon_L94_ *) % 0.96/1.16 assert (zenon_L95_ : ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2))))) -> (~(c0_1 (a1641))) -> (c3_1 (a1701)) -> (~(c1_1 (a1701))) -> (~(c0_1 (a1701))) -> (ndr1_0) -> False). % 0.96/1.16 do 0 intro. intros zenon_H5a zenon_H17b zenon_H17a zenon_Hd4 zenon_H179 zenon_H38 zenon_H37 zenon_H36 zenon_H20. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H21 ]. % 0.96/1.16 apply (zenon_L22_); trivial. % 0.96/1.16 apply (zenon_L94_); trivial. % 0.96/1.16 (* end of lemma zenon_L95_ *) % 0.96/1.16 assert (zenon_L96_ : ((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c1_1 (a1689)) -> (c0_1 (a1689)) -> (~(c2_1 (a1689))) -> (~(hskp4)) -> False). % 0.96/1.16 do 0 intro. intros zenon_H60 zenon_Heb zenon_H179 zenon_H17a zenon_H17b zenon_H5a zenon_He1 zenon_He0 zenon_Hdf zenon_He8. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H20. zenon_intro zenon_H62. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H38. zenon_intro zenon_H63. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H36. zenon_intro zenon_H37. % 0.96/1.16 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hee ]. % 0.96/1.16 apply (zenon_L95_); trivial. % 0.96/1.16 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_Hde | zenon_intro zenon_He9 ]. % 0.96/1.16 apply (zenon_L53_); trivial. % 0.96/1.16 exact (zenon_He8 zenon_He9). % 0.96/1.16 (* end of lemma zenon_L96_ *) % 0.96/1.16 assert (zenon_L97_ : ((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(hskp12)) -> (~(hskp13)) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> False). % 0.96/1.16 do 0 intro. intros zenon_Hea zenon_H65 zenon_Heb zenon_He8 zenon_H179 zenon_H17a zenon_H17b zenon_H5a zenon_H1d zenon_H17 zenon_H2b zenon_H2d zenon_H30 zenon_H34. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H20. zenon_intro zenon_Hec. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He0. zenon_intro zenon_Hed. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_He1. zenon_intro zenon_Hdf. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 0.96/1.16 apply (zenon_L21_); trivial. % 0.96/1.16 apply (zenon_L96_); trivial. % 0.96/1.16 (* end of lemma zenon_L97_ *) % 0.96/1.16 assert (zenon_L98_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(hskp12)) -> (~(hskp13)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(hskp7)) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> False). % 0.96/1.16 do 0 intro. intros zenon_Hf2 zenon_H65 zenon_Heb zenon_He8 zenon_H179 zenon_H17a zenon_H17b zenon_H5a zenon_H1d zenon_H17 zenon_H2b zenon_H30 zenon_H34 zenon_Hd0 zenon_Hcf zenon_H170 zenon_H13 zenon_Hb2 zenon_H95 zenon_H9 zenon_H2d zenon_H172 zenon_H61 zenon_Hce. % 0.96/1.16 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 0.96/1.16 apply (zenon_L93_); trivial. % 0.96/1.16 apply (zenon_L97_); trivial. % 0.96/1.16 (* end of lemma zenon_L98_ *) % 0.96/1.16 assert (zenon_L99_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp11))) -> (~(hskp11)) -> (~(hskp7)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> (~(hskp13)) -> (~(hskp12)) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> False). % 0.96/1.16 do 0 intro. intros zenon_H68 zenon_H5b zenon_H1 zenon_H41 zenon_Hce zenon_H61 zenon_H172 zenon_H2d zenon_H9 zenon_H95 zenon_Hb2 zenon_H170 zenon_Hcf zenon_Hd0 zenon_H34 zenon_H30 zenon_H2b zenon_H17 zenon_H1d zenon_H5a zenon_H17b zenon_H17a zenon_H179 zenon_He8 zenon_Heb zenon_H65 zenon_Hf2. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 0.96/1.16 apply (zenon_L98_); trivial. % 0.96/1.16 apply (zenon_L30_); trivial. % 0.96/1.16 (* end of lemma zenon_L99_ *) % 0.96/1.16 assert (zenon_L100_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/(hskp7))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2))))) -> (~(c0_1 (a1641))) -> (c3_1 (a1658)) -> (c1_1 (a1658)) -> (~(c2_1 (a1658))) -> (ndr1_0) -> (~(hskp7)) -> False). % 0.96/1.16 do 0 intro. intros zenon_H187 zenon_H17b zenon_H17a zenon_Hd4 zenon_H179 zenon_Hfe zenon_Hfd zenon_Hfc zenon_H20 zenon_H9. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H21 | zenon_intro zenon_H188 ]. % 0.96/1.16 apply (zenon_L94_); trivial. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_Hfb | zenon_intro zenon_Ha ]. % 0.96/1.16 apply (zenon_L57_); trivial. % 0.96/1.16 exact (zenon_H9 zenon_Ha). % 0.96/1.16 (* end of lemma zenon_L100_ *) % 0.96/1.16 assert (zenon_L101_ : ((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp12)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/(hskp7))) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> False). % 0.96/1.16 do 0 intro. intros zenon_H114 zenon_Hce zenon_Heb zenon_He8 zenon_H17 zenon_H112 zenon_H179 zenon_H17a zenon_H17b zenon_H9 zenon_H187 zenon_H105 zenon_H107. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H20. zenon_intro zenon_H115. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_Hfd. zenon_intro zenon_H116. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hfe. zenon_intro zenon_Hfc. % 0.96/1.16 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 0.96/1.16 apply (zenon_L59_); trivial. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H20. zenon_intro zenon_Hcb. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc1. zenon_intro zenon_Hcc. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc2. zenon_intro zenon_Hc0. % 0.96/1.16 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hee ]. % 0.96/1.16 apply (zenon_L100_); trivial. % 0.96/1.16 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_Hde | zenon_intro zenon_He9 ]. % 0.96/1.16 apply (zenon_L61_); trivial. % 0.96/1.16 exact (zenon_He8 zenon_He9). % 0.96/1.16 (* end of lemma zenon_L101_ *) % 0.96/1.16 assert (zenon_L102_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/(hskp7))) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(hskp12)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(hskp7)) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> False). % 0.96/1.16 do 0 intro. intros zenon_H117 zenon_H112 zenon_H187 zenon_H105 zenon_H107 zenon_Hf2 zenon_H65 zenon_Heb zenon_He8 zenon_H179 zenon_H17a zenon_H17b zenon_H5a zenon_H1d zenon_H17 zenon_H30 zenon_H34 zenon_Hd0 zenon_Hcf zenon_H170 zenon_Hb2 zenon_H95 zenon_H9 zenon_H2d zenon_H172 zenon_H61 zenon_Hce zenon_H41 zenon_H1 zenon_H5b zenon_H68. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H2b | zenon_intro zenon_H114 ]. % 0.96/1.16 apply (zenon_L99_); trivial. % 0.96/1.16 apply (zenon_L101_); trivial. % 0.96/1.16 (* end of lemma zenon_L102_ *) % 0.96/1.16 assert (zenon_L103_ : (~(hskp10)) -> (hskp10) -> False). % 0.96/1.16 do 0 intro. intros zenon_H189 zenon_H18a. % 0.96/1.16 exact (zenon_H189 zenon_H18a). % 0.96/1.16 (* end of lemma zenon_L103_ *) % 0.96/1.16 assert (zenon_L104_ : ((hskp10)\/((hskp18)\/(hskp11))) -> (~(hskp10)) -> (~(hskp18)) -> (~(hskp11)) -> False). % 0.96/1.16 do 0 intro. intros zenon_H18b zenon_H189 zenon_H119 zenon_H2d. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H18a | zenon_intro zenon_H18c ]. % 0.96/1.16 exact (zenon_H189 zenon_H18a). % 0.96/1.16 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H11a | zenon_intro zenon_H2e ]. % 0.96/1.16 exact (zenon_H119 zenon_H11a). % 0.96/1.16 exact (zenon_H2d zenon_H2e). % 0.96/1.16 (* end of lemma zenon_L104_ *) % 0.96/1.16 assert (zenon_L105_ : ((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> (~(hskp10)) -> (~(hskp11)) -> ((hskp10)\/((hskp18)\/(hskp11))) -> False). % 0.96/1.16 do 0 intro. intros zenon_H15d zenon_H136 zenon_H132 zenon_H189 zenon_H2d zenon_H18b. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H119 | zenon_intro zenon_H131 ]. % 0.96/1.16 apply (zenon_L104_); trivial. % 0.96/1.16 apply (zenon_L70_); trivial. % 0.96/1.16 (* end of lemma zenon_L105_ *) % 0.96/1.16 assert (zenon_L106_ : (~(hskp8)) -> (hskp8) -> False). % 0.96/1.16 do 0 intro. intros zenon_H18d zenon_H18e. % 0.96/1.16 exact (zenon_H18d zenon_H18e). % 0.96/1.16 (* end of lemma zenon_L106_ *) % 0.96/1.16 assert (zenon_L107_ : ((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((hskp7)\/(hskp8))) -> (~(hskp7)) -> (~(hskp8)) -> False). % 0.96/1.16 do 0 intro. intros zenon_Hf8 zenon_H18f zenon_H9 zenon_H18d. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_H20. zenon_intro zenon_Hf9. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H9a. zenon_intro zenon_Hfa. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_H98. zenon_intro zenon_H99. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H190 ]. % 0.96/1.16 apply (zenon_L43_); trivial. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_Ha | zenon_intro zenon_H18e ]. % 0.96/1.16 exact (zenon_H9 zenon_Ha). % 0.96/1.16 exact (zenon_H18d zenon_H18e). % 0.96/1.16 (* end of lemma zenon_L107_ *) % 0.96/1.16 assert (zenon_L108_ : ((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((hskp7)\/(hskp8))) -> (~(hskp8)) -> (~(hskp7)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> False). % 0.96/1.16 do 0 intro. intros zenon_Hf5 zenon_Hf1 zenon_H18f zenon_H18d zenon_H9 zenon_H82 zenon_H83 zenon_H84 zenon_H8d. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_H20. zenon_intro zenon_Hf6. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H79. zenon_intro zenon_Hf7. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H7a. zenon_intro zenon_H78. % 0.96/1.16 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 0.96/1.16 apply (zenon_L38_); trivial. % 0.96/1.16 apply (zenon_L107_); trivial. % 0.96/1.16 (* end of lemma zenon_L108_ *) % 0.96/1.16 assert (zenon_L109_ : ((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((hskp7)\/(hskp8))) -> (~(hskp8)) -> (~(hskp7)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> False). % 0.96/1.16 do 0 intro. intros zenon_Hef zenon_Hf0 zenon_Hf1 zenon_H18f zenon_H18d zenon_H9 zenon_H82 zenon_H83 zenon_H84 zenon_H8d zenon_H1 zenon_H75. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H20. zenon_intro zenon_Hf3. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H6c. zenon_intro zenon_Hf4. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H6a. zenon_intro zenon_H6b. % 0.96/1.16 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 0.96/1.16 apply (zenon_L34_); trivial. % 0.96/1.16 apply (zenon_L108_); trivial. % 0.96/1.16 (* end of lemma zenon_L109_ *) % 0.96/1.16 assert (zenon_L110_ : ((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((hskp7)\/(hskp8))) -> (~(hskp8)) -> (~(hskp7)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> ((hskp15)\/((hskp19)\/(hskp1))) -> (~(hskp1)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((hskp4)\/(hskp23))) -> (~(hskp4)) -> (~(hskp3)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a1699)))/\((~(c2_1 (a1699)))/\(~(c3_1 (a1699))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> False). % 0.96/1.16 do 0 intro. intros zenon_H155 zenon_H118 zenon_Hf0 zenon_Hf1 zenon_H18f zenon_H18d zenon_H9 zenon_H82 zenon_H83 zenon_H84 zenon_H8d zenon_H1 zenon_H75 zenon_H15 zenon_H5 zenon_H139 zenon_He8 zenon_H105 zenon_H150 zenon_H154 zenon_H68. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 0.96/1.16 apply (zenon_L78_); trivial. % 0.96/1.16 apply (zenon_L109_); trivial. % 0.96/1.16 (* end of lemma zenon_L110_ *) % 0.96/1.16 assert (zenon_L111_ : (forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))) -> (ndr1_0) -> (c0_1 (a1648)) -> (forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40)))))) -> (c2_1 (a1648)) -> False). % 0.96/1.16 do 0 intro. intros zenon_H56 zenon_H20 zenon_H191 zenon_H77 zenon_H192. % 0.96/1.16 generalize (zenon_H56 (a1648)). zenon_intro zenon_H193. % 0.96/1.16 apply (zenon_imply_s _ _ zenon_H193); [ zenon_intro zenon_H1f | zenon_intro zenon_H194 ]. % 0.96/1.16 exact (zenon_H1f zenon_H20). % 0.96/1.16 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H196 | zenon_intro zenon_H195 ]. % 0.96/1.16 exact (zenon_H196 zenon_H191). % 0.96/1.16 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H198 | zenon_intro zenon_H197 ]. % 0.96/1.16 generalize (zenon_H77 (a1648)). zenon_intro zenon_H199. % 0.96/1.16 apply (zenon_imply_s _ _ zenon_H199); [ zenon_intro zenon_H1f | zenon_intro zenon_H19a ]. % 0.96/1.16 exact (zenon_H1f zenon_H20). % 0.96/1.16 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H19c | zenon_intro zenon_H19b ]. % 0.96/1.16 exact (zenon_H198 zenon_H19c). % 0.96/1.16 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H196 | zenon_intro zenon_H197 ]. % 0.96/1.16 exact (zenon_H196 zenon_H191). % 0.96/1.16 exact (zenon_H197 zenon_H192). % 0.96/1.16 exact (zenon_H197 zenon_H192). % 0.96/1.16 (* end of lemma zenon_L111_ *) % 0.96/1.16 assert (zenon_L112_ : (~(hskp2)) -> (hskp2) -> False). % 0.96/1.16 do 0 intro. intros zenon_H19d zenon_H19e. % 0.96/1.16 exact (zenon_H19d zenon_H19e). % 0.96/1.16 (* end of lemma zenon_L112_ *) % 0.96/1.16 assert (zenon_L113_ : ((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp9)) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp9))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (~(hskp2)) -> False). % 0.96/1.16 do 0 intro. intros zenon_H64 zenon_H19f zenon_Hd zenon_H191 zenon_H192 zenon_H16a zenon_H84 zenon_H83 zenon_H82 zenon_H19d. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H20. zenon_intro zenon_H66. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H45. zenon_intro zenon_H67. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H77 | zenon_intro zenon_H1a0 ]. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H43 | zenon_intro zenon_H16b ]. % 0.96/1.16 apply (zenon_L25_); trivial. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H56 | zenon_intro zenon_He ]. % 0.96/1.16 apply (zenon_L111_); trivial. % 0.96/1.16 exact (zenon_Hd zenon_He). % 0.96/1.16 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H81 | zenon_intro zenon_H19e ]. % 0.96/1.16 apply (zenon_L36_); trivial. % 0.96/1.16 exact (zenon_H19d zenon_H19e). % 0.96/1.16 (* end of lemma zenon_L113_ *) % 0.96/1.16 assert (zenon_L114_ : ((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (~(hskp2)) -> False). % 0.96/1.16 do 0 intro. intros zenon_Hf5 zenon_H19f zenon_H84 zenon_H83 zenon_H82 zenon_H19d. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_H20. zenon_intro zenon_Hf6. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H79. zenon_intro zenon_Hf7. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H7a. zenon_intro zenon_H78. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H77 | zenon_intro zenon_H1a0 ]. % 0.96/1.16 apply (zenon_L35_); trivial. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H81 | zenon_intro zenon_H19e ]. % 0.96/1.16 apply (zenon_L36_); trivial. % 0.96/1.16 exact (zenon_H19d zenon_H19e). % 0.96/1.16 (* end of lemma zenon_L114_ *) % 0.96/1.16 assert (zenon_L115_ : ((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> False). % 0.96/1.16 do 0 intro. intros zenon_Hef zenon_Hf0 zenon_H19f zenon_H19d zenon_H84 zenon_H83 zenon_H82 zenon_H1 zenon_H75. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H20. zenon_intro zenon_Hf3. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H6c. zenon_intro zenon_Hf4. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H6a. zenon_intro zenon_H6b. % 0.96/1.16 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 0.96/1.16 apply (zenon_L34_); trivial. % 0.96/1.16 apply (zenon_L114_); trivial. % 0.96/1.16 (* end of lemma zenon_L115_ *) % 0.96/1.16 assert (zenon_L116_ : ((ndr1_0)/\((c0_1 (a1648))/\((c2_1 (a1648))/\(~(c3_1 (a1648)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> ((hskp15)\/((hskp19)\/(hskp1))) -> (~(hskp1)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> False). % 0.96/1.16 do 0 intro. intros zenon_H1a1 zenon_H118 zenon_Hf0 zenon_H1 zenon_H75 zenon_H15 zenon_H5 zenon_H16a zenon_Hd zenon_H82 zenon_H83 zenon_H84 zenon_H19d zenon_H19f zenon_H68. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 0.96/1.16 apply (zenon_L11_); trivial. % 0.96/1.16 apply (zenon_L113_); trivial. % 0.96/1.16 apply (zenon_L115_); trivial. % 0.96/1.16 (* end of lemma zenon_L116_ *) % 0.96/1.16 assert (zenon_L117_ : (forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43)))))) -> (ndr1_0) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c1_1 (a1641)) -> False). % 0.96/1.16 do 0 intro. intros zenon_H13b zenon_H20 zenon_H179 zenon_H17a zenon_H186. % 0.96/1.16 generalize (zenon_H13b (a1641)). zenon_intro zenon_H1a5. % 0.96/1.16 apply (zenon_imply_s _ _ zenon_H1a5); [ zenon_intro zenon_H1f | zenon_intro zenon_H1a6 ]. % 0.96/1.16 exact (zenon_H1f zenon_H20). % 0.96/1.16 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H17f | zenon_intro zenon_H1a7 ]. % 0.96/1.16 exact (zenon_H179 zenon_H17f). % 0.96/1.16 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H185 | zenon_intro zenon_H181 ]. % 0.96/1.16 exact (zenon_H17a zenon_H185). % 0.96/1.16 exact (zenon_H181 zenon_H186). % 0.96/1.16 (* end of lemma zenon_L117_ *) % 0.96/1.16 assert (zenon_L118_ : (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7)))))) -> (ndr1_0) -> (~(c0_1 (a1641))) -> (forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43)))))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> False). % 0.96/1.16 do 0 intro. intros zenon_H97 zenon_H20 zenon_H179 zenon_H13b zenon_H17a zenon_H17b. % 0.96/1.16 generalize (zenon_H97 (a1641)). zenon_intro zenon_H1a8. % 0.96/1.16 apply (zenon_imply_s _ _ zenon_H1a8); [ zenon_intro zenon_H1f | zenon_intro zenon_H1a9 ]. % 0.96/1.16 exact (zenon_H1f zenon_H20). % 0.96/1.16 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H17f | zenon_intro zenon_H1aa ]. % 0.96/1.16 exact (zenon_H179 zenon_H17f). % 0.96/1.16 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H186 | zenon_intro zenon_H180 ]. % 0.96/1.16 apply (zenon_L117_); trivial. % 0.96/1.16 exact (zenon_H180 zenon_H17b). % 0.96/1.16 (* end of lemma zenon_L118_ *) % 0.96/1.16 assert (zenon_L119_ : ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7)))))) -> (c0_1 (a1664)) -> (~(c2_1 (a1664))) -> (~(c1_1 (a1664))) -> (ndr1_0) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> False). % 0.96/1.16 do 0 intro. intros zenon_H1ab zenon_H17b zenon_H17a zenon_H179 zenon_H97 zenon_H6c zenon_H6b zenon_H6a zenon_H20 zenon_H128 zenon_H129 zenon_H12a. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H13b | zenon_intro zenon_H1ac ]. % 0.96/1.16 apply (zenon_L118_); trivial. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H69 | zenon_intro zenon_H127 ]. % 0.96/1.16 apply (zenon_L32_); trivial. % 0.96/1.16 apply (zenon_L69_); trivial. % 0.96/1.16 (* end of lemma zenon_L119_ *) % 0.96/1.16 assert (zenon_L120_ : ((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c0_1 (a1664)) -> (~(c2_1 (a1664))) -> (~(c1_1 (a1664))) -> False). % 0.96/1.16 do 0 intro. intros zenon_Hc9 zenon_Hca zenon_H12a zenon_H129 zenon_H128 zenon_H179 zenon_H17a zenon_H17b zenon_H1ab zenon_H6c zenon_H6b zenon_H6a. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H20. zenon_intro zenon_Hcb. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc1. zenon_intro zenon_Hcc. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc2. zenon_intro zenon_Hc0. % 0.96/1.16 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H97 | zenon_intro zenon_Hcd ]. % 0.96/1.16 apply (zenon_L119_); trivial. % 0.96/1.16 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H69 | zenon_intro zenon_Ha2 ]. % 0.96/1.16 apply (zenon_L32_); trivial. % 0.96/1.16 apply (zenon_L49_); trivial. % 0.96/1.16 (* end of lemma zenon_L120_ *) % 0.96/1.16 assert (zenon_L121_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> (~(c1_1 (a1664))) -> (~(c2_1 (a1664))) -> (c0_1 (a1664)) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (~(hskp20)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> False). % 0.96/1.16 do 0 intro. intros zenon_Hce zenon_Hcf zenon_Hca zenon_Hb2 zenon_H179 zenon_H17a zenon_H17b zenon_H6a zenon_H6b zenon_H6c zenon_H128 zenon_H129 zenon_H12a zenon_H1ab zenon_H91 zenon_H95 zenon_Hd0. % 0.96/1.16 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 0.96/1.16 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H8f | zenon_intro zenon_Hbd ]. % 0.96/1.16 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H93 | zenon_intro zenon_Hd1 ]. % 0.96/1.16 apply (zenon_L42_); trivial. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H20. zenon_intro zenon_Hd2. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Ha1. zenon_intro zenon_Hd3. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_Ha3. zenon_intro zenon_Ha4. % 0.96/1.16 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H97 | zenon_intro zenon_Hcd ]. % 0.96/1.16 apply (zenon_L119_); trivial. % 0.96/1.16 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H69 | zenon_intro zenon_Ha2 ]. % 0.96/1.16 apply (zenon_L32_); trivial. % 0.96/1.16 apply (zenon_L46_); trivial. % 0.96/1.16 apply (zenon_L48_); trivial. % 0.96/1.16 apply (zenon_L120_); trivial. % 0.96/1.16 (* end of lemma zenon_L121_ *) % 0.96/1.16 assert (zenon_L122_ : ((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> False). % 0.96/1.16 do 0 intro. intros zenon_Hef zenon_Hf2 zenon_Heb zenon_He8 zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_Hd0 zenon_H95 zenon_H1ab zenon_H12a zenon_H129 zenon_H128 zenon_H17b zenon_H17a zenon_H179 zenon_Hb2 zenon_Hca zenon_Hcf zenon_Hce. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H20. zenon_intro zenon_Hf3. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H6c. zenon_intro zenon_Hf4. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H6a. zenon_intro zenon_H6b. % 0.96/1.16 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 0.96/1.16 apply (zenon_L121_); trivial. % 0.96/1.16 apply (zenon_L55_); trivial. % 0.96/1.16 (* end of lemma zenon_L122_ *) % 0.96/1.16 assert (zenon_L123_ : ((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> (~(hskp1)) -> ((hskp15)\/((hskp19)\/(hskp1))) -> (~(hskp11)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> False). % 0.96/1.16 do 0 intro. intros zenon_H15d zenon_H118 zenon_H1ab zenon_H17b zenon_H17a zenon_H179 zenon_Hca zenon_H68 zenon_Hf2 zenon_Heb zenon_He8 zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_Hd0 zenon_H95 zenon_Hb2 zenon_H11b zenon_Hcf zenon_Hce zenon_H5 zenon_H15 zenon_H2d zenon_H132 zenon_H136. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 0.96/1.16 apply (zenon_L71_); trivial. % 0.96/1.16 apply (zenon_L122_); trivial. % 0.96/1.16 (* end of lemma zenon_L123_ *) % 0.96/1.16 assert (zenon_L124_ : ((ndr1_0)/\((~(c0_1 (a1644)))/\((~(c1_1 (a1644)))/\(~(c3_1 (a1644)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((hskp4)\/(hskp23))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a1699)))/\((~(c2_1 (a1699)))/\(~(c3_1 (a1699))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> (~(hskp1)) -> ((hskp15)\/((hskp19)\/(hskp1))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> False). % 0.96/1.16 do 0 intro. intros zenon_H158 zenon_H159 zenon_H139 zenon_H150 zenon_H154 zenon_H117 zenon_H112 zenon_H105 zenon_H107 zenon_H68 zenon_H65 zenon_H61 zenon_H5a zenon_H5b zenon_H1 zenon_H41 zenon_H1d zenon_H30 zenon_H34 zenon_H5 zenon_H15 zenon_H75 zenon_H8d zenon_H84 zenon_H83 zenon_H82 zenon_Hce zenon_Hcf zenon_Hca zenon_Hb2 zenon_H95 zenon_Hd0 zenon_He8 zenon_Heb zenon_Hf2 zenon_Hf1 zenon_Hf0 zenon_H118 zenon_H136 zenon_H132 zenon_H11b zenon_H179 zenon_H17a zenon_H17b zenon_H1ab zenon_H15a. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H20. zenon_intro zenon_H15b. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_Hd5. zenon_intro zenon_H15c. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_Hd6. zenon_intro zenon_Hd7. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 0.96/1.16 apply (zenon_L63_); trivial. % 0.96/1.16 apply (zenon_L123_); trivial. % 0.96/1.16 apply (zenon_L79_); trivial. % 0.96/1.16 (* end of lemma zenon_L124_ *) % 0.96/1.16 assert (zenon_L125_ : (forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))) -> (ndr1_0) -> (~(c3_1 (a1643))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> False). % 0.96/1.16 do 0 intro. intros zenon_H127 zenon_H20 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1b0. % 0.96/1.16 generalize (zenon_H127 (a1643)). zenon_intro zenon_H1b1. % 0.96/1.16 apply (zenon_imply_s _ _ zenon_H1b1); [ zenon_intro zenon_H1f | zenon_intro zenon_H1b2 ]. % 0.96/1.16 exact (zenon_H1f zenon_H20). % 0.96/1.16 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H1b3 ]. % 0.96/1.16 exact (zenon_H1ad zenon_H1b4). % 0.96/1.16 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H1b6 | zenon_intro zenon_H1b5 ]. % 0.96/1.16 generalize (zenon_H1ae (a1643)). zenon_intro zenon_H1b7. % 0.96/1.16 apply (zenon_imply_s _ _ zenon_H1b7); [ zenon_intro zenon_H1f | zenon_intro zenon_H1b8 ]. % 0.96/1.16 exact (zenon_H1f zenon_H20). % 0.96/1.16 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1b9 ]. % 0.96/1.16 exact (zenon_H1b6 zenon_H1ba). % 0.96/1.16 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1b4 ]. % 0.96/1.16 exact (zenon_H1af zenon_H1bb). % 0.96/1.16 exact (zenon_H1ad zenon_H1b4). % 0.96/1.16 exact (zenon_H1b5 zenon_H1b0). % 0.96/1.16 (* end of lemma zenon_L125_ *) % 0.96/1.16 assert (zenon_L126_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> (c1_1 (a1680)) -> (~(c2_1 (a1680))) -> (~(c0_1 (a1680))) -> (c1_1 (a1643)) -> (~(c2_1 (a1643))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (~(c3_1 (a1643))) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.96/1.16 do 0 intro. intros zenon_H132 zenon_H120 zenon_H11f zenon_H11e zenon_H1b0 zenon_H1af zenon_H1ae zenon_H1ad zenon_H20 zenon_H2d. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H11d | zenon_intro zenon_H135 ]. % 0.96/1.16 apply (zenon_L68_); trivial. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H127 | zenon_intro zenon_H2e ]. % 0.96/1.16 apply (zenon_L125_); trivial. % 0.96/1.16 exact (zenon_H2d zenon_H2e). % 0.96/1.16 (* end of lemma zenon_L126_ *) % 0.96/1.16 assert (zenon_L127_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> (~(hskp10)) -> (~(hskp11)) -> ((hskp10)\/((hskp18)\/(hskp11))) -> False). % 0.96/1.16 do 0 intro. intros zenon_H136 zenon_H1bc zenon_H5 zenon_H1ad zenon_H1af zenon_H1b0 zenon_H132 zenon_H189 zenon_H2d zenon_H18b. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H119 | zenon_intro zenon_H131 ]. % 0.96/1.16 apply (zenon_L104_); trivial. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H20. zenon_intro zenon_H133. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H120. zenon_intro zenon_H134. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1bd ]. % 0.96/1.16 apply (zenon_L126_); trivial. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H18a | zenon_intro zenon_H6 ]. % 0.96/1.16 exact (zenon_H189 zenon_H18a). % 0.96/1.16 exact (zenon_H5 zenon_H6). % 0.96/1.16 (* end of lemma zenon_L127_ *) % 0.96/1.16 assert (zenon_L128_ : (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2))))) -> (ndr1_0) -> (~(c0_1 (a1641))) -> (forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43)))))) -> (~(c3_1 (a1641))) -> False). % 0.96/1.16 do 0 intro. intros zenon_Hd4 zenon_H20 zenon_H179 zenon_H13b zenon_H17a. % 0.96/1.16 generalize (zenon_Hd4 (a1641)). zenon_intro zenon_H182. % 0.96/1.16 apply (zenon_imply_s _ _ zenon_H182); [ zenon_intro zenon_H1f | zenon_intro zenon_H183 ]. % 0.96/1.16 exact (zenon_H1f zenon_H20). % 0.96/1.16 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H17f | zenon_intro zenon_H184 ]. % 0.96/1.16 exact (zenon_H179 zenon_H17f). % 0.96/1.16 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H186 | zenon_intro zenon_H185 ]. % 0.96/1.16 apply (zenon_L117_); trivial. % 0.96/1.16 exact (zenon_H17a zenon_H185). % 0.96/1.16 (* end of lemma zenon_L128_ *) % 0.96/1.16 assert (zenon_L129_ : ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2))))) -> (c0_1 (a1664)) -> (~(c2_1 (a1664))) -> (~(c1_1 (a1664))) -> (ndr1_0) -> (~(c3_1 (a1643))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> False). % 0.96/1.16 do 0 intro. intros zenon_H1ab zenon_H17a zenon_H179 zenon_Hd4 zenon_H6c zenon_H6b zenon_H6a zenon_H20 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1b0. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H13b | zenon_intro zenon_H1ac ]. % 0.96/1.16 apply (zenon_L128_); trivial. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H69 | zenon_intro zenon_H127 ]. % 0.96/1.16 apply (zenon_L32_); trivial. % 0.96/1.16 apply (zenon_L125_); trivial. % 0.96/1.16 (* end of lemma zenon_L129_ *) % 0.96/1.16 assert (zenon_L130_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (c1_1 (a1643)) -> (~(c2_1 (a1643))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (~(c3_1 (a1643))) -> (~(c1_1 (a1664))) -> (~(c2_1 (a1664))) -> (c0_1 (a1664)) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c1_1 (a1689)) -> (c0_1 (a1689)) -> (~(c2_1 (a1689))) -> (ndr1_0) -> (~(hskp4)) -> False). % 0.96/1.16 do 0 intro. intros zenon_Heb zenon_H1b0 zenon_H1af zenon_H1ae zenon_H1ad zenon_H6a zenon_H6b zenon_H6c zenon_H179 zenon_H17a zenon_H1ab zenon_He1 zenon_He0 zenon_Hdf zenon_H20 zenon_He8. % 0.96/1.16 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hee ]. % 0.96/1.16 apply (zenon_L129_); trivial. % 0.96/1.16 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_Hde | zenon_intro zenon_He9 ]. % 0.96/1.16 apply (zenon_L53_); trivial. % 0.96/1.16 exact (zenon_He8 zenon_He9). % 0.96/1.16 (* end of lemma zenon_L130_ *) % 0.96/1.16 assert (zenon_L131_ : (forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))) -> (ndr1_0) -> (~(c1_1 (a1667))) -> (c2_1 (a1667)) -> (c3_1 (a1667)) -> False). % 0.96/1.16 do 0 intro. intros zenon_Ha2 zenon_H20 zenon_H78 zenon_H7a zenon_H1be. % 0.96/1.16 generalize (zenon_Ha2 (a1667)). zenon_intro zenon_H1bf. % 0.96/1.16 apply (zenon_imply_s _ _ zenon_H1bf); [ zenon_intro zenon_H1f | zenon_intro zenon_H1c0 ]. % 0.96/1.16 exact (zenon_H1f zenon_H20). % 0.96/1.16 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H7e | zenon_intro zenon_H1c1 ]. % 0.96/1.16 exact (zenon_H78 zenon_H7e). % 0.96/1.16 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H7f | zenon_intro zenon_H1c2 ]. % 0.96/1.16 exact (zenon_H7f zenon_H7a). % 0.96/1.16 exact (zenon_H1c2 zenon_H1be). % 0.96/1.16 (* end of lemma zenon_L131_ *) % 0.96/1.16 assert (zenon_L132_ : (forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))) -> (ndr1_0) -> (forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))) -> (~(c1_1 (a1667))) -> (c2_1 (a1667)) -> (c0_1 (a1667)) -> False). % 0.96/1.16 do 0 intro. intros zenon_H1c3 zenon_H20 zenon_Ha2 zenon_H78 zenon_H7a zenon_H79. % 0.96/1.16 generalize (zenon_H1c3 (a1667)). zenon_intro zenon_H1c4. % 0.96/1.16 apply (zenon_imply_s _ _ zenon_H1c4); [ zenon_intro zenon_H1f | zenon_intro zenon_H1c5 ]. % 0.96/1.16 exact (zenon_H1f zenon_H20). % 0.96/1.16 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H1be | zenon_intro zenon_H7d ]. % 0.96/1.16 apply (zenon_L131_); trivial. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H80 | zenon_intro zenon_H7f ]. % 0.96/1.16 exact (zenon_H80 zenon_H79). % 0.96/1.16 exact (zenon_H7f zenon_H7a). % 0.96/1.16 (* end of lemma zenon_L132_ *) % 0.96/1.16 assert (zenon_L133_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(hskp4)) -> (~(c2_1 (a1689))) -> (c0_1 (a1689)) -> (c1_1 (a1689)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (c0_1 (a1664)) -> (~(c2_1 (a1664))) -> (~(c1_1 (a1664))) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (c2_1 (a1709)) -> (c1_1 (a1709)) -> (~(c0_1 (a1709))) -> (ndr1_0) -> (forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))) -> (~(c1_1 (a1667))) -> (c2_1 (a1667)) -> (c0_1 (a1667)) -> False). % 0.96/1.16 do 0 intro. intros zenon_H1c6 zenon_He8 zenon_Hdf zenon_He0 zenon_He1 zenon_H1ab zenon_H17a zenon_H179 zenon_H6c zenon_H6b zenon_H6a zenon_H1ad zenon_H1af zenon_H1b0 zenon_Heb zenon_H24 zenon_H23 zenon_H22 zenon_H20 zenon_Ha2 zenon_H78 zenon_H7a zenon_H79. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1c7 ]. % 0.96/1.16 apply (zenon_L130_); trivial. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H21 | zenon_intro zenon_H1c3 ]. % 0.96/1.16 apply (zenon_L17_); trivial. % 0.96/1.16 apply (zenon_L132_); trivial. % 0.96/1.16 (* end of lemma zenon_L133_ *) % 0.96/1.16 assert (zenon_L134_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (c1_1 (a1689)) -> (c0_1 (a1689)) -> (~(c2_1 (a1689))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (~(c1_1 (a1667))) -> (c2_1 (a1667)) -> (c0_1 (a1667)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c0_1 (a1664)) -> (~(c2_1 (a1664))) -> (~(c1_1 (a1664))) -> (c2_1 (a1675)) -> (~(c1_1 (a1675))) -> (~(c0_1 (a1675))) -> (~(hskp12)) -> (~(hskp24)) -> ((hskp12)\/((hskp25)\/(hskp24))) -> False). % 0.96/1.16 do 0 intro. intros zenon_H34 zenon_Hca zenon_Heb zenon_He8 zenon_He1 zenon_He0 zenon_Hdf zenon_H179 zenon_H17a zenon_H1ad zenon_H1af zenon_H1b0 zenon_H1ab zenon_H78 zenon_H7a zenon_H79 zenon_H1c6 zenon_H6c zenon_H6b zenon_H6a zenon_H9a zenon_H99 zenon_H98 zenon_H17 zenon_H1b zenon_H1d. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 0.96/1.16 apply (zenon_L15_); trivial. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H20. zenon_intro zenon_H31. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H23. zenon_intro zenon_H32. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H24. zenon_intro zenon_H22. % 0.96/1.16 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H97 | zenon_intro zenon_Hcd ]. % 0.96/1.16 apply (zenon_L43_); trivial. % 0.96/1.16 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H69 | zenon_intro zenon_Ha2 ]. % 0.96/1.16 apply (zenon_L32_); trivial. % 0.96/1.16 apply (zenon_L133_); trivial. % 0.96/1.16 (* end of lemma zenon_L134_ *) % 0.96/1.16 assert (zenon_L135_ : ((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> (c2_1 (a1641)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(hskp12)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c1_1 (a1643)) -> (~(c2_1 (a1643))) -> (~(c3_1 (a1643))) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> False). % 0.96/1.16 do 0 intro. intros zenon_Hef zenon_Hf0 zenon_Hf1 zenon_Hf2 zenon_H65 zenon_H17b zenon_H5a zenon_H1d zenon_H17 zenon_H1c6 zenon_H1ab zenon_H1b0 zenon_H1af zenon_H1ad zenon_H17a zenon_H179 zenon_He8 zenon_Heb zenon_H34 zenon_Hd0 zenon_H95 zenon_Hb2 zenon_Hca zenon_Hcf zenon_Hce zenon_H82 zenon_H83 zenon_H84 zenon_H8d zenon_H1 zenon_H75. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H20. zenon_intro zenon_Hf3. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H6c. zenon_intro zenon_Hf4. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H6a. zenon_intro zenon_H6b. % 0.96/1.16 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 0.96/1.16 apply (zenon_L34_); trivial. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_H20. zenon_intro zenon_Hf6. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H79. zenon_intro zenon_Hf7. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H7a. zenon_intro zenon_H78. % 0.96/1.16 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 0.96/1.16 apply (zenon_L38_); trivial. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_H20. zenon_intro zenon_Hf9. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H9a. zenon_intro zenon_Hfa. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_H98. zenon_intro zenon_H99. % 0.96/1.16 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 0.96/1.16 apply (zenon_L51_); trivial. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H20. zenon_intro zenon_Hec. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He0. zenon_intro zenon_Hed. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_He1. zenon_intro zenon_Hdf. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 0.96/1.16 apply (zenon_L134_); trivial. % 0.96/1.16 apply (zenon_L96_); trivial. % 0.96/1.16 (* end of lemma zenon_L135_ *) % 0.96/1.16 assert (zenon_L136_ : ((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> False). % 0.96/1.16 do 0 intro. intros zenon_Hef zenon_H1ab zenon_H13e zenon_H13d zenon_H13c zenon_H128 zenon_H129 zenon_H12a. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H20. zenon_intro zenon_Hf3. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H6c. zenon_intro zenon_Hf4. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H6a. zenon_intro zenon_H6b. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H13b | zenon_intro zenon_H1ac ]. % 0.96/1.16 apply (zenon_L74_); trivial. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H69 | zenon_intro zenon_H127 ]. % 0.96/1.16 apply (zenon_L32_); trivial. % 0.96/1.16 apply (zenon_L69_); trivial. % 0.96/1.16 (* end of lemma zenon_L136_ *) % 0.96/1.16 assert (zenon_L137_ : ((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((hskp15)\/((hskp19)\/(hskp1))) -> (~(hskp1)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((hskp4)\/(hskp23))) -> (~(hskp4)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (~(hskp3)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a1699)))/\((~(c2_1 (a1699)))/\(~(c3_1 (a1699))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> False). % 0.96/1.16 do 0 intro. intros zenon_H15d zenon_H118 zenon_H1ab zenon_H15 zenon_H5 zenon_H139 zenon_He8 zenon_H13c zenon_H13d zenon_H13e zenon_H105 zenon_H150 zenon_H154 zenon_H68. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 0.96/1.16 apply (zenon_L78_); trivial. % 0.96/1.16 apply (zenon_L136_); trivial. % 0.96/1.16 (* end of lemma zenon_L137_ *) % 0.96/1.16 assert (zenon_L138_ : ((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a1699)))/\((~(c2_1 (a1699)))/\(~(c3_1 (a1699))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((hskp4)\/(hskp23))) -> (~(hskp1)) -> ((hskp15)\/((hskp19)\/(hskp1))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c2_1 (a1641)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> False). % 0.96/1.16 do 0 intro. intros zenon_H155 zenon_H15a zenon_H68 zenon_H154 zenon_H150 zenon_H105 zenon_He8 zenon_H139 zenon_H5 zenon_H15 zenon_H75 zenon_H1 zenon_H8d zenon_H84 zenon_H83 zenon_H82 zenon_Hce zenon_Hcf zenon_Hca zenon_Hb2 zenon_H95 zenon_Hd0 zenon_H34 zenon_Heb zenon_H179 zenon_H17a zenon_H1ad zenon_H1af zenon_H1b0 zenon_H1ab zenon_H1c6 zenon_H1d zenon_H5a zenon_H17b zenon_H65 zenon_Hf2 zenon_Hf1 zenon_Hf0 zenon_H118. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 0.96/1.16 apply (zenon_L78_); trivial. % 0.96/1.16 apply (zenon_L135_); trivial. % 0.96/1.16 apply (zenon_L137_); trivial. % 0.96/1.16 (* end of lemma zenon_L138_ *) % 0.96/1.16 assert (zenon_L139_ : ((ndr1_0)/\((~(c0_1 (a1644)))/\((~(c1_1 (a1644)))/\(~(c3_1 (a1644)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((hskp4)\/(hskp23))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a1699)))/\((~(c2_1 (a1699)))/\(~(c3_1 (a1699))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> (~(hskp1)) -> ((hskp15)\/((hskp19)\/(hskp1))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c2_1 (a1641)) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> False). % 0.96/1.16 do 0 intro. intros zenon_H158 zenon_H159 zenon_H139 zenon_H150 zenon_H154 zenon_H117 zenon_H112 zenon_H105 zenon_H107 zenon_H68 zenon_H65 zenon_H61 zenon_H5a zenon_H5b zenon_H1 zenon_H41 zenon_H1d zenon_H30 zenon_H34 zenon_H5 zenon_H15 zenon_H75 zenon_H8d zenon_H84 zenon_H83 zenon_H82 zenon_Hce zenon_Hcf zenon_Hca zenon_Hb2 zenon_H95 zenon_Hd0 zenon_Heb zenon_He8 zenon_H179 zenon_H17a zenon_H1ad zenon_H1af zenon_H1b0 zenon_H1ab zenon_H1c6 zenon_H17b zenon_Hf2 zenon_Hf1 zenon_Hf0 zenon_H118 zenon_H136 zenon_H132 zenon_H11b zenon_H15a. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H20. zenon_intro zenon_H15b. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_Hd5. zenon_intro zenon_H15c. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_Hd6. zenon_intro zenon_Hd7. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H2b | zenon_intro zenon_H114 ]. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 0.96/1.16 apply (zenon_L31_); trivial. % 0.96/1.16 apply (zenon_L135_); trivial. % 0.96/1.16 apply (zenon_L62_); trivial. % 0.96/1.16 apply (zenon_L123_); trivial. % 0.96/1.16 apply (zenon_L79_); trivial. % 0.96/1.16 (* end of lemma zenon_L139_ *) % 0.96/1.16 assert (zenon_L140_ : (forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67)))))) -> (ndr1_0) -> (forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> False). % 0.96/1.16 do 0 intro. intros zenon_H1c8 zenon_H20 zenon_Hde zenon_H82 zenon_H83 zenon_H84. % 0.96/1.16 generalize (zenon_H1c8 (a1640)). zenon_intro zenon_H1c9. % 0.96/1.16 apply (zenon_imply_s _ _ zenon_H1c9); [ zenon_intro zenon_H1f | zenon_intro zenon_H1ca ]. % 0.96/1.16 exact (zenon_H1f zenon_H20). % 0.96/1.16 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1cc | zenon_intro zenon_H1cb ]. % 0.96/1.16 generalize (zenon_Hde (a1640)). zenon_intro zenon_H1cd. % 0.96/1.16 apply (zenon_imply_s _ _ zenon_H1cd); [ zenon_intro zenon_H1f | zenon_intro zenon_H1ce ]. % 0.96/1.16 exact (zenon_H1f zenon_H20). % 0.96/1.16 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H88 | zenon_intro zenon_H1cf ]. % 0.96/1.16 exact (zenon_H82 zenon_H88). % 0.96/1.16 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H8a | zenon_intro zenon_H1d0 ]. % 0.96/1.16 exact (zenon_H8a zenon_H83). % 0.96/1.16 exact (zenon_H1d0 zenon_H1cc). % 0.96/1.16 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H88 | zenon_intro zenon_H89 ]. % 0.96/1.16 exact (zenon_H82 zenon_H88). % 0.96/1.16 exact (zenon_H89 zenon_H84). % 0.96/1.16 (* end of lemma zenon_L140_ *) % 0.96/1.16 assert (zenon_L141_ : ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (ndr1_0) -> (~(hskp16)) -> (~(hskp10)) -> False). % 0.96/1.16 do 0 intro. intros zenon_H1d1 zenon_H84 zenon_H83 zenon_H82 zenon_Hde zenon_H20 zenon_H73 zenon_H189. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1d2 ]. % 0.96/1.16 apply (zenon_L140_); trivial. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H74 | zenon_intro zenon_H18a ]. % 0.96/1.16 exact (zenon_H73 zenon_H74). % 0.96/1.16 exact (zenon_H189 zenon_H18a). % 0.96/1.16 (* end of lemma zenon_L141_ *) % 0.96/1.16 assert (zenon_L142_ : ((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(hskp10)) -> (~(hskp16)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (~(hskp4)) -> False). % 0.96/1.16 do 0 intro. intros zenon_H60 zenon_Heb zenon_H179 zenon_H17a zenon_H17b zenon_H5a zenon_H189 zenon_H73 zenon_H82 zenon_H83 zenon_H84 zenon_H1d1 zenon_He8. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H20. zenon_intro zenon_H62. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H38. zenon_intro zenon_H63. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H36. zenon_intro zenon_H37. % 0.96/1.16 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hee ]. % 0.96/1.16 apply (zenon_L95_); trivial. % 0.96/1.16 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_Hde | zenon_intro zenon_He9 ]. % 0.96/1.16 apply (zenon_L141_); trivial. % 0.96/1.16 exact (zenon_He8 zenon_He9). % 0.96/1.16 (* end of lemma zenon_L142_ *) % 0.96/1.16 assert (zenon_L143_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> (~(hskp16)) -> (~(hskp10)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(hskp12)) -> (~(hskp13)) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> False). % 0.96/1.16 do 0 intro. intros zenon_H65 zenon_Heb zenon_He8 zenon_H82 zenon_H83 zenon_H84 zenon_H73 zenon_H189 zenon_H1d1 zenon_H179 zenon_H17a zenon_H17b zenon_H5a zenon_H1d zenon_H17 zenon_H2b zenon_H2d zenon_H30 zenon_H34. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 0.96/1.16 apply (zenon_L21_); trivial. % 0.96/1.16 apply (zenon_L142_); trivial. % 0.96/1.16 (* end of lemma zenon_L143_ *) % 0.96/1.16 assert (zenon_L144_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> (~(hskp11)) -> (~(hskp13)) -> (~(hskp12)) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> False). % 0.96/1.16 do 0 intro. intros zenon_Hf0 zenon_H19f zenon_H19d zenon_H34 zenon_H30 zenon_H2d zenon_H2b zenon_H17 zenon_H1d zenon_H5a zenon_H17b zenon_H17a zenon_H179 zenon_H1d1 zenon_H189 zenon_H84 zenon_H83 zenon_H82 zenon_He8 zenon_Heb zenon_H65. % 0.96/1.16 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 0.96/1.16 apply (zenon_L143_); trivial. % 0.96/1.16 apply (zenon_L114_); trivial. % 0.96/1.16 (* end of lemma zenon_L144_ *) % 0.96/1.16 assert (zenon_L145_ : ((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> (~(hskp18)) -> (~(c2_1 (a1658))) -> (c1_1 (a1658)) -> (c3_1 (a1658)) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> False). % 0.96/1.16 do 0 intro. intros zenon_H64 zenon_Hce zenon_H11b zenon_H119 zenon_Hfc zenon_Hfd zenon_Hfe zenon_H105 zenon_H107. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H20. zenon_intro zenon_H66. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H45. zenon_intro zenon_H67. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.96/1.16 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 0.96/1.16 apply (zenon_L59_); trivial. % 0.96/1.16 apply (zenon_L65_); trivial. % 0.96/1.16 (* end of lemma zenon_L145_ *) % 0.96/1.16 assert (zenon_L146_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> (~(hskp18)) -> (~(c2_1 (a1658))) -> (c1_1 (a1658)) -> (c3_1 (a1658)) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> (~(hskp15)) -> (~(hskp1)) -> ((hskp15)\/((hskp19)\/(hskp1))) -> False). % 0.96/1.16 do 0 intro. intros zenon_H68 zenon_Hce zenon_H11b zenon_H119 zenon_Hfc zenon_Hfd zenon_Hfe zenon_H105 zenon_H107 zenon_H11 zenon_H5 zenon_H15. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 0.96/1.16 apply (zenon_L11_); trivial. % 0.96/1.16 apply (zenon_L145_); trivial. % 0.96/1.16 (* end of lemma zenon_L146_ *) % 0.96/1.16 assert (zenon_L147_ : (forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))) -> (ndr1_0) -> (~(c3_1 (a1642))) -> (c0_1 (a1642)) -> (c1_1 (a1642)) -> False). % 0.96/1.16 do 0 intro. intros zenon_H127 zenon_H20 zenon_H162 zenon_H163 zenon_H1d3. % 0.96/1.16 generalize (zenon_H127 (a1642)). zenon_intro zenon_H1d4. % 0.96/1.16 apply (zenon_imply_s _ _ zenon_H1d4); [ zenon_intro zenon_H1f | zenon_intro zenon_H1d5 ]. % 0.96/1.16 exact (zenon_H1f zenon_H20). % 0.96/1.16 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H169 | zenon_intro zenon_H1d6 ]. % 0.96/1.16 exact (zenon_H162 zenon_H169). % 0.96/1.16 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H168 | zenon_intro zenon_H1d7 ]. % 0.96/1.16 exact (zenon_H168 zenon_H163). % 0.96/1.16 exact (zenon_H1d7 zenon_H1d3). % 0.96/1.16 (* end of lemma zenon_L147_ *) % 0.96/1.16 assert (zenon_L148_ : (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44))))) -> (ndr1_0) -> (forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))) -> (~(c3_1 (a1642))) -> (c0_1 (a1642)) -> (~(c2_1 (a1642))) -> False). % 0.96/1.16 do 0 intro. intros zenon_H145 zenon_H20 zenon_H127 zenon_H162 zenon_H163 zenon_H161. % 0.96/1.16 generalize (zenon_H145 (a1642)). zenon_intro zenon_H1d8. % 0.96/1.16 apply (zenon_imply_s _ _ zenon_H1d8); [ zenon_intro zenon_H1f | zenon_intro zenon_H1d9 ]. % 0.96/1.16 exact (zenon_H1f zenon_H20). % 0.96/1.16 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1d3 | zenon_intro zenon_H1da ]. % 0.99/1.16 apply (zenon_L147_); trivial. % 0.99/1.16 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H167 | zenon_intro zenon_H169 ]. % 0.99/1.16 exact (zenon_H161 zenon_H167). % 0.99/1.16 exact (zenon_H162 zenon_H169). % 0.99/1.16 (* end of lemma zenon_L148_ *) % 0.99/1.16 assert (zenon_L149_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> (c1_1 (a1680)) -> (~(c2_1 (a1680))) -> (~(c0_1 (a1680))) -> (~(hskp3)) -> (ndr1_0) -> (~(c3_1 (a1642))) -> (c0_1 (a1642)) -> (~(c2_1 (a1642))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp3))) -> (~(hskp11)) -> False). % 0.99/1.16 do 0 intro. intros zenon_H132 zenon_H120 zenon_H11f zenon_H11e zenon_H105 zenon_H20 zenon_H162 zenon_H163 zenon_H161 zenon_H97 zenon_H179 zenon_H17a zenon_H17b zenon_H150 zenon_H2d. % 0.99/1.16 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H11d | zenon_intro zenon_H135 ]. % 0.99/1.16 apply (zenon_L68_); trivial. % 0.99/1.16 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H127 | zenon_intro zenon_H2e ]. % 0.99/1.16 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H13b | zenon_intro zenon_H153 ]. % 0.99/1.16 apply (zenon_L118_); trivial. % 0.99/1.16 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_H145 | zenon_intro zenon_H106 ]. % 0.99/1.16 apply (zenon_L148_); trivial. % 0.99/1.16 exact (zenon_H105 zenon_H106). % 0.99/1.16 exact (zenon_H2d zenon_H2e). % 0.99/1.16 (* end of lemma zenon_L149_ *) % 0.99/1.16 assert (zenon_L150_ : (forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))) -> (ndr1_0) -> (forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))) -> (~(c3_1 (a1642))) -> (c0_1 (a1642)) -> (~(c2_1 (a1642))) -> False). % 0.99/1.16 do 0 intro. intros zenon_H69 zenon_H20 zenon_H127 zenon_H162 zenon_H163 zenon_H161. % 0.99/1.16 generalize (zenon_H69 (a1642)). zenon_intro zenon_H1db. % 0.99/1.16 apply (zenon_imply_s _ _ zenon_H1db); [ zenon_intro zenon_H1f | zenon_intro zenon_H1dc ]. % 0.99/1.16 exact (zenon_H1f zenon_H20). % 0.99/1.16 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1d3 | zenon_intro zenon_H1dd ]. % 0.99/1.16 apply (zenon_L147_); trivial. % 0.99/1.16 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H167 | zenon_intro zenon_H168 ]. % 0.99/1.16 exact (zenon_H161 zenon_H167). % 0.99/1.16 exact (zenon_H168 zenon_H163). % 0.99/1.16 (* end of lemma zenon_L150_ *) % 0.99/1.16 assert (zenon_L151_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> (c1_1 (a1680)) -> (~(c2_1 (a1680))) -> (~(c0_1 (a1680))) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> (ndr1_0) -> (forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))) -> (~(hskp11)) -> False). % 0.99/1.16 do 0 intro. intros zenon_H132 zenon_H120 zenon_H11f zenon_H11e zenon_H161 zenon_H163 zenon_H162 zenon_H20 zenon_H69 zenon_H2d. % 0.99/1.16 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H11d | zenon_intro zenon_H135 ]. % 0.99/1.16 apply (zenon_L68_); trivial. % 0.99/1.16 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H127 | zenon_intro zenon_H2e ]. % 0.99/1.16 apply (zenon_L150_); trivial. % 0.99/1.16 exact (zenon_H2d zenon_H2e). % 0.99/1.16 (* end of lemma zenon_L151_ *) % 0.99/1.16 assert (zenon_L152_ : ((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp3))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (~(hskp3)) -> (~(hskp11)) -> (~(c3_1 (a1642))) -> (c0_1 (a1642)) -> (~(c2_1 (a1642))) -> (~(c0_1 (a1680))) -> (~(c2_1 (a1680))) -> (c1_1 (a1680)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> False). % 0.99/1.16 do 0 intro. intros zenon_Hc9 zenon_Hca zenon_H150 zenon_H17b zenon_H17a zenon_H179 zenon_H105 zenon_H2d zenon_H162 zenon_H163 zenon_H161 zenon_H11e zenon_H11f zenon_H120 zenon_H132. % 0.99/1.16 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H20. zenon_intro zenon_Hcb. % 0.99/1.16 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc1. zenon_intro zenon_Hcc. % 0.99/1.16 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc2. zenon_intro zenon_Hc0. % 0.99/1.16 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H97 | zenon_intro zenon_Hcd ]. % 0.99/1.16 apply (zenon_L149_); trivial. % 0.99/1.16 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H69 | zenon_intro zenon_Ha2 ]. % 0.99/1.16 apply (zenon_L151_); trivial. % 0.99/1.16 apply (zenon_L49_); trivial. % 0.99/1.16 (* end of lemma zenon_L152_ *) % 0.99/1.16 assert (zenon_L153_ : ((hskp11)\/((hskp17)\/(hskp1))) -> (~(hskp11)) -> (~(hskp17)) -> (~(hskp1)) -> False). % 0.99/1.16 do 0 intro. intros zenon_H1de zenon_H2d zenon_H8b zenon_H5. % 0.99/1.16 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H2e | zenon_intro zenon_H1df ]. % 0.99/1.16 exact (zenon_H2d zenon_H2e). % 0.99/1.16 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H8c | zenon_intro zenon_H6 ]. % 0.99/1.16 exact (zenon_H8b zenon_H8c). % 0.99/1.16 exact (zenon_H5 zenon_H6). % 0.99/1.16 (* end of lemma zenon_L153_ *) % 0.99/1.16 assert (zenon_L154_ : ((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (c0_1 (a1664)) -> (~(c2_1 (a1664))) -> (~(c1_1 (a1664))) -> (~(c2_1 (a1658))) -> (c1_1 (a1658)) -> (c3_1 (a1658)) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> False). % 0.99/1.16 do 0 intro. intros zenon_Hf8 zenon_Hce zenon_Hca zenon_H6c zenon_H6b zenon_H6a zenon_Hfc zenon_Hfd zenon_Hfe zenon_H105 zenon_H107. % 0.99/1.16 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_H20. zenon_intro zenon_Hf9. % 0.99/1.16 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H9a. zenon_intro zenon_Hfa. % 0.99/1.16 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_H98. zenon_intro zenon_H99. % 0.99/1.16 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 0.99/1.16 apply (zenon_L59_); trivial. % 0.99/1.16 apply (zenon_L50_); trivial. % 0.99/1.16 (* end of lemma zenon_L154_ *) % 0.99/1.16 assert (zenon_L155_ : ((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(c2_1 (a1658))) -> (c1_1 (a1658)) -> (c3_1 (a1658)) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> (~(hskp11)) -> (~(hskp1)) -> ((hskp11)\/((hskp17)\/(hskp1))) -> False). % 0.99/1.16 do 0 intro. intros zenon_Hef zenon_Hf1 zenon_Hce zenon_Hca zenon_Hfc zenon_Hfd zenon_Hfe zenon_H105 zenon_H107 zenon_H2d zenon_H5 zenon_H1de. % 0.99/1.16 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H20. zenon_intro zenon_Hf3. % 0.99/1.16 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H6c. zenon_intro zenon_Hf4. % 0.99/1.16 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H6a. zenon_intro zenon_H6b. % 0.99/1.16 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 0.99/1.16 apply (zenon_L153_); trivial. % 0.99/1.16 apply (zenon_L154_); trivial. % 0.99/1.16 (* end of lemma zenon_L155_ *) % 0.99/1.16 assert (zenon_L156_ : ((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp3))) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (~(hskp3)) -> False). % 0.99/1.16 do 0 intro. intros zenon_Hef zenon_H150 zenon_H161 zenon_H163 zenon_H162 zenon_H13c zenon_H13d zenon_H13e zenon_H1ab zenon_H105. % 0.99/1.16 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H20. zenon_intro zenon_Hf3. % 0.99/1.16 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H6c. zenon_intro zenon_Hf4. % 0.99/1.16 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H6a. zenon_intro zenon_H6b. % 0.99/1.16 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H13b | zenon_intro zenon_H153 ]. % 0.99/1.16 apply (zenon_L74_); trivial. % 0.99/1.16 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_H145 | zenon_intro zenon_H106 ]. % 0.99/1.16 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H13b | zenon_intro zenon_H1ac ]. % 0.99/1.16 apply (zenon_L74_); trivial. % 0.99/1.16 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H69 | zenon_intro zenon_H127 ]. % 0.99/1.16 apply (zenon_L32_); trivial. % 0.99/1.16 apply (zenon_L148_); trivial. % 0.99/1.16 exact (zenon_H105 zenon_H106). % 0.99/1.16 (* end of lemma zenon_L156_ *) % 0.99/1.16 assert (zenon_L157_ : ((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> (~(c3_1 (a1642))) -> (c0_1 (a1642)) -> (~(c2_1 (a1642))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((hskp15)\/((hskp19)\/(hskp1))) -> (~(hskp1)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((hskp4)\/(hskp23))) -> (~(hskp4)) -> (~(hskp3)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a1699)))/\((~(c2_1 (a1699)))/\(~(c3_1 (a1699))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> False). % 0.99/1.16 do 0 intro. intros zenon_H155 zenon_H118 zenon_H162 zenon_H163 zenon_H161 zenon_H1ab zenon_H15 zenon_H5 zenon_H139 zenon_He8 zenon_H105 zenon_H150 zenon_H154 zenon_H68. % 0.99/1.16 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 0.99/1.16 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 0.99/1.16 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 0.99/1.16 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 0.99/1.16 apply (zenon_L78_); trivial. % 0.99/1.16 apply (zenon_L156_); trivial. % 0.99/1.16 (* end of lemma zenon_L157_ *) % 0.99/1.16 assert (zenon_L158_ : (forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67)))))) -> (ndr1_0) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> False). % 0.99/1.16 do 0 intro. intros zenon_H1c8 zenon_H20 zenon_H1e0 zenon_H1e1 zenon_H1e2. % 0.99/1.16 generalize (zenon_H1c8 (a1639)). zenon_intro zenon_H1e3. % 0.99/1.16 apply (zenon_imply_s _ _ zenon_H1e3); [ zenon_intro zenon_H1f | zenon_intro zenon_H1e4 ]. % 0.99/1.16 exact (zenon_H1f zenon_H20). % 0.99/1.16 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H1e5 ]. % 0.99/1.16 exact (zenon_H1e0 zenon_H1e6). % 0.99/1.16 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H1e7 ]. % 0.99/1.16 exact (zenon_H1e1 zenon_H1e8). % 0.99/1.16 exact (zenon_H1e7 zenon_H1e2). % 0.99/1.16 (* end of lemma zenon_L158_ *) % 0.99/1.16 assert (zenon_L159_ : ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (ndr1_0) -> (~(hskp16)) -> (~(hskp10)) -> False). % 0.99/1.16 do 0 intro. intros zenon_H1d1 zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H20 zenon_H73 zenon_H189. % 0.99/1.16 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1d2 ]. % 0.99/1.16 apply (zenon_L158_); trivial. % 0.99/1.16 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H74 | zenon_intro zenon_H18a ]. % 0.99/1.16 exact (zenon_H73 zenon_H74). % 0.99/1.16 exact (zenon_H189 zenon_H18a). % 0.99/1.16 (* end of lemma zenon_L159_ *) % 0.99/1.16 assert (zenon_L160_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (ndr1_0) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> (~(hskp10)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> False). % 0.99/1.16 do 0 intro. intros zenon_Hf0 zenon_H19f zenon_H19d zenon_H84 zenon_H83 zenon_H82 zenon_H20 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H189 zenon_H1d1. % 0.99/1.16 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 0.99/1.16 apply (zenon_L159_); trivial. % 0.99/1.16 apply (zenon_L114_); trivial. % 0.99/1.16 (* end of lemma zenon_L160_ *) % 0.99/1.16 assert (zenon_L161_ : (forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))) -> (ndr1_0) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16)))))) -> (c1_1 (a1646)) -> (c2_1 (a1646)) -> (c3_1 (a1646)) -> False). % 0.99/1.16 do 0 intro. intros zenon_H1e9 zenon_H20 zenon_H21 zenon_H4e zenon_H4f zenon_H5e. % 0.99/1.16 generalize (zenon_H1e9 (a1646)). zenon_intro zenon_H1ea. % 0.99/1.16 apply (zenon_imply_s _ _ zenon_H1ea); [ zenon_intro zenon_H1f | zenon_intro zenon_H1eb ]. % 0.99/1.16 exact (zenon_H1f zenon_H20). % 0.99/1.16 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H4d | zenon_intro zenon_H1ec ]. % 0.99/1.16 apply (zenon_L26_); trivial. % 0.99/1.16 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H55 | zenon_intro zenon_H178 ]. % 0.99/1.16 exact (zenon_H55 zenon_H4e). % 0.99/1.16 exact (zenon_H178 zenon_H5e). % 0.99/1.16 (* end of lemma zenon_L161_ *) % 0.99/1.16 assert (zenon_L162_ : ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (ndr1_0) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16)))))) -> (c1_1 (a1646)) -> (c2_1 (a1646)) -> (c3_1 (a1646)) -> False). % 0.99/1.16 do 0 intro. intros zenon_H1ed zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H20 zenon_H21 zenon_H4e zenon_H4f zenon_H5e. % 0.99/1.16 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1ee ]. % 0.99/1.16 apply (zenon_L158_); trivial. % 0.99/1.16 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H56 | zenon_intro zenon_H1e9 ]. % 0.99/1.16 apply (zenon_L27_); trivial. % 0.99/1.16 apply (zenon_L161_); trivial. % 0.99/1.16 (* end of lemma zenon_L162_ *) % 0.99/1.16 assert (zenon_L163_ : ((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1701)) -> (~(c1_1 (a1701))) -> (~(c0_1 (a1701))) -> False). % 0.99/1.16 do 0 intro. intros zenon_H59 zenon_H5a zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1ed zenon_H38 zenon_H37 zenon_H36. % 0.99/1.16 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 0.99/1.16 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 0.99/1.16 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 0.99/1.16 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H21 ]. % 0.99/1.16 apply (zenon_L22_); trivial. % 0.99/1.16 apply (zenon_L162_); trivial. % 0.99/1.16 (* end of lemma zenon_L163_ *) % 0.99/1.16 assert (zenon_L164_ : ((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> False). % 0.99/1.16 do 0 intro. intros zenon_H60 zenon_H61 zenon_H5a zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1ed zenon_H1 zenon_H41. % 0.99/1.16 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H20. zenon_intro zenon_H62. % 0.99/1.16 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H38. zenon_intro zenon_H63. % 0.99/1.16 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H36. zenon_intro zenon_H37. % 0.99/1.16 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 0.99/1.16 apply (zenon_L24_); trivial. % 0.99/1.16 apply (zenon_L163_); trivial. % 0.99/1.16 (* end of lemma zenon_L164_ *) % 0.99/1.16 assert (zenon_L165_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(hskp12)) -> (~(hskp13)) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> False). % 0.99/1.16 do 0 intro. intros zenon_H65 zenon_H61 zenon_H5a zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1ed zenon_H1 zenon_H41 zenon_H1d zenon_H17 zenon_H2b zenon_H2d zenon_H30 zenon_H34. % 0.99/1.16 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 0.99/1.16 apply (zenon_L21_); trivial. % 0.99/1.16 apply (zenon_L164_); trivial. % 0.99/1.16 (* end of lemma zenon_L165_ *) % 0.99/1.16 assert (zenon_L166_ : (forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40)))))) -> (ndr1_0) -> (~(c1_1 (a1691))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7)))))) -> (c2_1 (a1691)) -> False). % 0.99/1.16 do 0 intro. intros zenon_H77 zenon_H20 zenon_Hc0 zenon_H97 zenon_Hc1. % 0.99/1.16 generalize (zenon_H77 (a1691)). zenon_intro zenon_H1ef. % 0.99/1.16 apply (zenon_imply_s _ _ zenon_H1ef); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f0 ]. % 0.99/1.16 exact (zenon_H1f zenon_H20). % 0.99/1.16 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_Hc6 | zenon_intro zenon_H1f1 ]. % 0.99/1.16 exact (zenon_Hc0 zenon_Hc6). % 0.99/1.16 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H1f2 | zenon_intro zenon_Hc8 ]. % 0.99/1.16 generalize (zenon_H97 (a1691)). zenon_intro zenon_H1f3. % 0.99/1.16 apply (zenon_imply_s _ _ zenon_H1f3); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f4 ]. % 0.99/1.16 exact (zenon_H1f zenon_H20). % 0.99/1.16 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H1f5 ]. % 0.99/1.16 exact (zenon_H1f2 zenon_H1f6). % 0.99/1.16 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc8 ]. % 0.99/1.16 exact (zenon_Hc0 zenon_Hc6). % 0.99/1.16 exact (zenon_Hc8 zenon_Hc1). % 0.99/1.16 exact (zenon_Hc8 zenon_Hc1). % 0.99/1.16 (* end of lemma zenon_L166_ *) % 0.99/1.16 assert (zenon_L167_ : ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (c2_1 (a1691)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7)))))) -> (~(c1_1 (a1691))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (ndr1_0) -> (~(hskp17)) -> False). % 0.99/1.16 do 0 intro. intros zenon_H8d zenon_Hc1 zenon_H97 zenon_Hc0 zenon_H84 zenon_H83 zenon_H82 zenon_H20 zenon_H8b. % 0.99/1.16 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H77 | zenon_intro zenon_H8e ]. % 0.99/1.16 apply (zenon_L166_); trivial. % 0.99/1.16 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H81 | zenon_intro zenon_H8c ]. % 0.99/1.16 apply (zenon_L36_); trivial. % 0.99/1.16 exact (zenon_H8b zenon_H8c). % 0.99/1.16 (* end of lemma zenon_L167_ *) % 0.99/1.16 assert (zenon_L168_ : (forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15)))))) -> (ndr1_0) -> (forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> False). % 0.99/1.16 do 0 intro. intros zenon_H35 zenon_H20 zenon_H69 zenon_H1e0 zenon_H1e1 zenon_H1e2. % 0.99/1.16 generalize (zenon_H35 (a1639)). zenon_intro zenon_H1f7. % 0.99/1.16 apply (zenon_imply_s _ _ zenon_H1f7); [ zenon_intro zenon_H1f | zenon_intro zenon_H1f8 ]. % 0.99/1.16 exact (zenon_H1f zenon_H20). % 0.99/1.16 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1fa | zenon_intro zenon_H1f9 ]. % 0.99/1.16 generalize (zenon_H69 (a1639)). zenon_intro zenon_H1fb. % 0.99/1.17 apply (zenon_imply_s _ _ zenon_H1fb); [ zenon_intro zenon_H1f | zenon_intro zenon_H1fc ]. % 0.99/1.17 exact (zenon_H1f zenon_H20). % 0.99/1.17 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H1fd ]. % 0.99/1.17 exact (zenon_H1e0 zenon_H1e6). % 0.99/1.17 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H1fe ]. % 0.99/1.17 exact (zenon_H1e1 zenon_H1e8). % 0.99/1.17 exact (zenon_H1fe zenon_H1fa). % 0.99/1.17 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H1e7 ]. % 0.99/1.17 exact (zenon_H1e0 zenon_H1e6). % 0.99/1.17 exact (zenon_H1e7 zenon_H1e2). % 0.99/1.17 (* end of lemma zenon_L168_ *) % 0.99/1.17 assert (zenon_L169_ : ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c2_1 (a1709)) -> (c1_1 (a1709)) -> (~(c0_1 (a1709))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))) -> (ndr1_0) -> False). % 0.99/1.17 do 0 intro. intros zenon_H5a zenon_H24 zenon_H23 zenon_H22 zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H69 zenon_H20. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H21 ]. % 0.99/1.17 apply (zenon_L168_); trivial. % 0.99/1.17 apply (zenon_L17_); trivial. % 0.99/1.17 (* end of lemma zenon_L169_ *) % 0.99/1.17 assert (zenon_L170_ : ((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> False). % 0.99/1.17 do 0 intro. intros zenon_Hc9 zenon_H65 zenon_H61 zenon_H1ed zenon_H1 zenon_H41 zenon_H1d zenon_H17 zenon_H8d zenon_H8b zenon_H84 zenon_H83 zenon_H82 zenon_H5a zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_Hca zenon_H34. % 0.99/1.17 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H20. zenon_intro zenon_Hcb. % 0.99/1.17 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc1. zenon_intro zenon_Hcc. % 0.99/1.17 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc2. zenon_intro zenon_Hc0. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 0.99/1.17 apply (zenon_L15_); trivial. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H20. zenon_intro zenon_H31. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H23. zenon_intro zenon_H32. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H24. zenon_intro zenon_H22. % 0.99/1.17 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H97 | zenon_intro zenon_Hcd ]. % 0.99/1.17 apply (zenon_L167_); trivial. % 0.99/1.17 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H69 | zenon_intro zenon_Ha2 ]. % 0.99/1.17 apply (zenon_L169_); trivial. % 0.99/1.17 apply (zenon_L49_); trivial. % 0.99/1.17 apply (zenon_L164_); trivial. % 0.99/1.17 (* end of lemma zenon_L170_ *) % 0.99/1.17 assert (zenon_L171_ : ((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (c2_1 (a1675)) -> (~(c1_1 (a1675))) -> (~(c0_1 (a1675))) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c1_1 (a1691))) -> (c2_1 (a1691)) -> (c3_1 (a1691)) -> False). % 0.99/1.17 do 0 intro. intros zenon_H2f zenon_Hca zenon_H9a zenon_H99 zenon_H98 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H5a zenon_Hc0 zenon_Hc1 zenon_Hc2. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H20. zenon_intro zenon_H31. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H23. zenon_intro zenon_H32. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H24. zenon_intro zenon_H22. % 0.99/1.17 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H97 | zenon_intro zenon_Hcd ]. % 0.99/1.17 apply (zenon_L43_); trivial. % 0.99/1.17 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H69 | zenon_intro zenon_Ha2 ]. % 0.99/1.17 apply (zenon_L169_); trivial. % 0.99/1.17 apply (zenon_L49_); trivial. % 0.99/1.17 (* end of lemma zenon_L171_ *) % 0.99/1.17 assert (zenon_L172_ : ((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(hskp12)) -> (~(c0_1 (a1675))) -> (~(c1_1 (a1675))) -> (c2_1 (a1675)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> False). % 0.99/1.17 do 0 intro. intros zenon_Hc9 zenon_H65 zenon_H61 zenon_H1ed zenon_H1 zenon_H41 zenon_H1d zenon_H17 zenon_H98 zenon_H99 zenon_H9a zenon_H5a zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_Hca zenon_H34. % 0.99/1.17 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H20. zenon_intro zenon_Hcb. % 0.99/1.17 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc1. zenon_intro zenon_Hcc. % 0.99/1.17 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc2. zenon_intro zenon_Hc0. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 0.99/1.17 apply (zenon_L15_); trivial. % 0.99/1.17 apply (zenon_L171_); trivial. % 0.99/1.17 apply (zenon_L164_); trivial. % 0.99/1.17 (* end of lemma zenon_L172_ *) % 0.99/1.17 assert (zenon_L173_ : ((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(hskp12)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> (~(c2_1 (a1658))) -> (c1_1 (a1658)) -> (c3_1 (a1658)) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> False). % 0.99/1.17 do 0 intro. intros zenon_Hf8 zenon_Hce zenon_H65 zenon_H61 zenon_H1ed zenon_H1 zenon_H41 zenon_H1d zenon_H17 zenon_H5a zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_Hca zenon_H34 zenon_Hfc zenon_Hfd zenon_Hfe zenon_H105 zenon_H107. % 0.99/1.17 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_H20. zenon_intro zenon_Hf9. % 0.99/1.17 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H9a. zenon_intro zenon_Hfa. % 0.99/1.17 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_H98. zenon_intro zenon_H99. % 0.99/1.17 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 0.99/1.17 apply (zenon_L59_); trivial. % 0.99/1.17 apply (zenon_L172_); trivial. % 0.99/1.17 (* end of lemma zenon_L173_ *) % 0.99/1.17 assert (zenon_L174_ : ((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (~(hskp12)) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> (~(hskp0)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> False). % 0.99/1.17 do 0 intro. intros zenon_H114 zenon_Hf1 zenon_H107 zenon_H105 zenon_H34 zenon_Hca zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H5a zenon_H82 zenon_H83 zenon_H84 zenon_H8d zenon_H17 zenon_H1d zenon_H41 zenon_H1 zenon_H1ed zenon_H61 zenon_H65 zenon_Hce. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H20. zenon_intro zenon_H115. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_Hfd. zenon_intro zenon_H116. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hfe. zenon_intro zenon_Hfc. % 0.99/1.17 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 0.99/1.17 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 0.99/1.17 apply (zenon_L59_); trivial. % 0.99/1.17 apply (zenon_L170_); trivial. % 0.99/1.17 apply (zenon_L173_); trivial. % 0.99/1.17 (* end of lemma zenon_L174_ *) % 0.99/1.17 assert (zenon_L175_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> (~(hskp11)) -> (~(hskp12)) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> (~(hskp0)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> False). % 0.99/1.17 do 0 intro. intros zenon_H117 zenon_Hf1 zenon_H107 zenon_H105 zenon_Hca zenon_H82 zenon_H83 zenon_H84 zenon_H8d zenon_Hce zenon_H34 zenon_H30 zenon_H2d zenon_H17 zenon_H1d zenon_H41 zenon_H1 zenon_H1ed zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H5a zenon_H61 zenon_H65. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H2b | zenon_intro zenon_H114 ]. % 0.99/1.17 apply (zenon_L165_); trivial. % 0.99/1.17 apply (zenon_L174_); trivial. % 0.99/1.17 (* end of lemma zenon_L175_ *) % 0.99/1.17 assert (zenon_L176_ : ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> (c2_1 (a1648)) -> (forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40)))))) -> (c0_1 (a1648)) -> (ndr1_0) -> (~(hskp28)) -> False). % 0.99/1.17 do 0 intro. intros zenon_H1ff zenon_H12a zenon_H129 zenon_H128 zenon_H192 zenon_H77 zenon_H191 zenon_H20 zenon_H3f. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H127 | zenon_intro zenon_H200 ]. % 0.99/1.17 apply (zenon_L69_); trivial. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H56 | zenon_intro zenon_H40 ]. % 0.99/1.17 apply (zenon_L111_); trivial. % 0.99/1.17 exact (zenon_H3f zenon_H40). % 0.99/1.17 (* end of lemma zenon_L176_ *) % 0.99/1.17 assert (zenon_L177_ : ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp28)) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (ndr1_0) -> (~(hskp2)) -> False). % 0.99/1.17 do 0 intro. intros zenon_H19f zenon_H3f zenon_H191 zenon_H192 zenon_H128 zenon_H129 zenon_H12a zenon_H1ff zenon_H84 zenon_H83 zenon_H82 zenon_H20 zenon_H19d. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H77 | zenon_intro zenon_H1a0 ]. % 0.99/1.17 apply (zenon_L176_); trivial. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H81 | zenon_intro zenon_H19e ]. % 0.99/1.17 apply (zenon_L36_); trivial. % 0.99/1.17 exact (zenon_H19d zenon_H19e). % 0.99/1.17 (* end of lemma zenon_L177_ *) % 0.99/1.17 assert (zenon_L178_ : ((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp13)) -> (~(hskp11)) -> False). % 0.99/1.17 do 0 intro. intros zenon_H59 zenon_H30 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1ed zenon_H2b zenon_H2d. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H21 | zenon_intro zenon_H33 ]. % 0.99/1.17 apply (zenon_L162_); trivial. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H2c | zenon_intro zenon_H2e ]. % 0.99/1.17 exact (zenon_H2b zenon_H2c). % 0.99/1.17 exact (zenon_H2d zenon_H2e). % 0.99/1.17 (* end of lemma zenon_L178_ *) % 0.99/1.17 assert (zenon_L179_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> (~(hskp11)) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> ((hskp15)\/((hskp19)\/(hskp1))) -> (~(hskp1)) -> (~(hskp15)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a1658)) -> (c1_1 (a1658)) -> (~(c2_1 (a1658))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> False). % 0.99/1.17 do 0 intro. intros zenon_H136 zenon_H132 zenon_H2d zenon_H12a zenon_H129 zenon_H128 zenon_H15 zenon_H5 zenon_H11 zenon_H107 zenon_H105 zenon_Hfe zenon_Hfd zenon_Hfc zenon_H11b zenon_Hce zenon_H68. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H119 | zenon_intro zenon_H131 ]. % 0.99/1.17 apply (zenon_L146_); trivial. % 0.99/1.17 apply (zenon_L70_); trivial. % 0.99/1.17 (* end of lemma zenon_L179_ *) % 0.99/1.17 assert (zenon_L180_ : ((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(hskp17)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (c0_1 (a1664)) -> (~(c2_1 (a1664))) -> (~(c1_1 (a1664))) -> False). % 0.99/1.17 do 0 intro. intros zenon_Hc9 zenon_Hca zenon_H8b zenon_H82 zenon_H83 zenon_H84 zenon_H8d zenon_H6c zenon_H6b zenon_H6a. % 0.99/1.17 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H20. zenon_intro zenon_Hcb. % 0.99/1.17 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc1. zenon_intro zenon_Hcc. % 0.99/1.17 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc2. zenon_intro zenon_Hc0. % 0.99/1.17 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H97 | zenon_intro zenon_Hcd ]. % 0.99/1.17 apply (zenon_L167_); trivial. % 0.99/1.17 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H69 | zenon_intro zenon_Ha2 ]. % 0.99/1.17 apply (zenon_L32_); trivial. % 0.99/1.17 apply (zenon_L49_); trivial. % 0.99/1.17 (* end of lemma zenon_L180_ *) % 0.99/1.17 assert (zenon_L181_ : ((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a1658)) -> (c1_1 (a1658)) -> (~(c2_1 (a1658))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> False). % 0.99/1.17 do 0 intro. intros zenon_Hef zenon_Hf1 zenon_H107 zenon_H105 zenon_Hfe zenon_Hfd zenon_Hfc zenon_H8d zenon_H84 zenon_H83 zenon_H82 zenon_Hca zenon_Hce. % 0.99/1.17 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H20. zenon_intro zenon_Hf3. % 0.99/1.17 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H6c. zenon_intro zenon_Hf4. % 0.99/1.17 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H6a. zenon_intro zenon_H6b. % 0.99/1.17 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 0.99/1.17 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 0.99/1.17 apply (zenon_L59_); trivial. % 0.99/1.17 apply (zenon_L180_); trivial. % 0.99/1.17 apply (zenon_L154_); trivial. % 0.99/1.17 (* end of lemma zenon_L181_ *) % 0.99/1.17 assert (zenon_L182_ : ((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> (~(hskp1)) -> ((hskp15)\/((hskp19)\/(hskp1))) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> (~(hskp11)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> False). % 0.99/1.17 do 0 intro. intros zenon_H114 zenon_H118 zenon_Hf1 zenon_H8d zenon_H84 zenon_H83 zenon_H82 zenon_Hca zenon_H68 zenon_Hce zenon_H11b zenon_H105 zenon_H107 zenon_H5 zenon_H15 zenon_H128 zenon_H129 zenon_H12a zenon_H2d zenon_H132 zenon_H136. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H20. zenon_intro zenon_H115. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_Hfd. zenon_intro zenon_H116. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hfe. zenon_intro zenon_Hfc. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 0.99/1.17 apply (zenon_L179_); trivial. % 0.99/1.17 apply (zenon_L181_); trivial. % 0.99/1.17 (* end of lemma zenon_L182_ *) % 0.99/1.17 assert (zenon_L183_ : ((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> (~(hskp1)) -> ((hskp15)\/((hskp19)\/(hskp1))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> False). % 0.99/1.17 do 0 intro. intros zenon_H15d zenon_H117 zenon_H118 zenon_Hf1 zenon_H8d zenon_Hca zenon_H68 zenon_Hce zenon_H11b zenon_H105 zenon_H107 zenon_H5 zenon_H15 zenon_H132 zenon_H136 zenon_H19f zenon_H19d zenon_H84 zenon_H83 zenon_H82 zenon_H191 zenon_H192 zenon_H1ff zenon_H1ed zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H2d zenon_H30 zenon_H61. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H2b | zenon_intro zenon_H114 ]. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 0.99/1.17 apply (zenon_L177_); trivial. % 0.99/1.17 apply (zenon_L178_); trivial. % 0.99/1.17 apply (zenon_L182_); trivial. % 0.99/1.17 (* end of lemma zenon_L183_ *) % 0.99/1.17 assert (zenon_L184_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> (~(hskp1)) -> ((hskp15)\/((hskp19)\/(hskp1))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658))))))) -> False). % 0.99/1.17 do 0 intro. intros zenon_H15a zenon_H118 zenon_H68 zenon_H11b zenon_H5 zenon_H15 zenon_H132 zenon_H136 zenon_H19f zenon_H19d zenon_H191 zenon_H192 zenon_H1ff zenon_H65 zenon_H61 zenon_H5a zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1ed zenon_H1 zenon_H41 zenon_H1d zenon_H2d zenon_H30 zenon_H34 zenon_Hce zenon_H8d zenon_H84 zenon_H83 zenon_H82 zenon_Hca zenon_H105 zenon_H107 zenon_Hf1 zenon_H117. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 0.99/1.17 apply (zenon_L175_); trivial. % 0.99/1.17 apply (zenon_L183_); trivial. % 0.99/1.17 (* end of lemma zenon_L184_ *) % 0.99/1.17 assert (zenon_L185_ : (forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))) -> (ndr1_0) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (c2_1 (a1650)) -> False). % 0.99/1.17 do 0 intro. intros zenon_H43 zenon_H20 zenon_H13d zenon_H13e zenon_H201. % 0.99/1.17 generalize (zenon_H43 (a1650)). zenon_intro zenon_H202. % 0.99/1.17 apply (zenon_imply_s _ _ zenon_H202); [ zenon_intro zenon_H1f | zenon_intro zenon_H203 ]. % 0.99/1.17 exact (zenon_H1f zenon_H20). % 0.99/1.17 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H144 | zenon_intro zenon_H204 ]. % 0.99/1.17 exact (zenon_H13d zenon_H144). % 0.99/1.17 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H143 | zenon_intro zenon_H205 ]. % 0.99/1.17 exact (zenon_H143 zenon_H13e). % 0.99/1.17 exact (zenon_H205 zenon_H201). % 0.99/1.17 (* end of lemma zenon_L185_ *) % 0.99/1.17 assert (zenon_L186_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (ndr1_0) -> (~(c0_1 (a1650))) -> (forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> False). % 0.99/1.17 do 0 intro. intros zenon_H1ae zenon_H20 zenon_H13c zenon_H43 zenon_H13d zenon_H13e. % 0.99/1.17 generalize (zenon_H1ae (a1650)). zenon_intro zenon_H206. % 0.99/1.17 apply (zenon_imply_s _ _ zenon_H206); [ zenon_intro zenon_H1f | zenon_intro zenon_H207 ]. % 0.99/1.17 exact (zenon_H1f zenon_H20). % 0.99/1.17 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H142 | zenon_intro zenon_H208 ]. % 0.99/1.17 exact (zenon_H13c zenon_H142). % 0.99/1.17 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H201 | zenon_intro zenon_H144 ]. % 0.99/1.17 apply (zenon_L185_); trivial. % 0.99/1.17 exact (zenon_H13d zenon_H144). % 0.99/1.17 (* end of lemma zenon_L186_ *) % 0.99/1.17 assert (zenon_L187_ : (forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))) -> (ndr1_0) -> (c0_1 (a1640)) -> (forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))) -> (~(c2_1 (a1640))) -> (c3_1 (a1640)) -> False). % 0.99/1.17 do 0 intro. intros zenon_H1e9 zenon_H20 zenon_H83 zenon_H69 zenon_H82 zenon_H84. % 0.99/1.17 generalize (zenon_H1e9 (a1640)). zenon_intro zenon_H209. % 0.99/1.17 apply (zenon_imply_s _ _ zenon_H209); [ zenon_intro zenon_H1f | zenon_intro zenon_H20a ]. % 0.99/1.17 exact (zenon_H1f zenon_H20). % 0.99/1.17 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H8a | zenon_intro zenon_H20b ]. % 0.99/1.17 exact (zenon_H8a zenon_H83). % 0.99/1.17 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H89 ]. % 0.99/1.17 generalize (zenon_H69 (a1640)). zenon_intro zenon_H20c. % 0.99/1.17 apply (zenon_imply_s _ _ zenon_H20c); [ zenon_intro zenon_H1f | zenon_intro zenon_H20d ]. % 0.99/1.17 exact (zenon_H1f zenon_H20). % 0.99/1.17 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1cc | zenon_intro zenon_H20e ]. % 0.99/1.17 exact (zenon_H1d0 zenon_H1cc). % 0.99/1.17 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H88 | zenon_intro zenon_H8a ]. % 0.99/1.17 exact (zenon_H82 zenon_H88). % 0.99/1.17 exact (zenon_H8a zenon_H83). % 0.99/1.17 exact (zenon_H89 zenon_H84). % 0.99/1.17 (* end of lemma zenon_L187_ *) % 0.99/1.17 assert (zenon_L188_ : (~(hskp22)) -> (hskp22) -> False). % 0.99/1.17 do 0 intro. intros zenon_H20f zenon_H210. % 0.99/1.17 exact (zenon_H20f zenon_H210). % 0.99/1.17 (* end of lemma zenon_L188_ *) % 0.99/1.17 assert (zenon_L189_ : ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (c3_1 (a1640)) -> (~(c2_1 (a1640))) -> (forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))) -> (c0_1 (a1640)) -> (ndr1_0) -> (~(hskp22)) -> False). % 0.99/1.17 do 0 intro. intros zenon_H211 zenon_H13e zenon_H13d zenon_H13c zenon_H1ae zenon_H84 zenon_H82 zenon_H69 zenon_H83 zenon_H20 zenon_H20f. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H43 | zenon_intro zenon_H212 ]. % 0.99/1.17 apply (zenon_L186_); trivial. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H210 ]. % 0.99/1.17 apply (zenon_L187_); trivial. % 0.99/1.17 exact (zenon_H20f zenon_H210). % 0.99/1.17 (* end of lemma zenon_L189_ *) % 0.99/1.17 assert (zenon_L190_ : ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> (~(hskp22)) -> (ndr1_0) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (c3_1 (a1640)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(hskp16)) -> (~(hskp0)) -> False). % 0.99/1.17 do 0 intro. intros zenon_H75 zenon_H20f zenon_H20 zenon_H83 zenon_H82 zenon_H84 zenon_H1ae zenon_H13c zenon_H13d zenon_H13e zenon_H211 zenon_H73 zenon_H1. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H69 | zenon_intro zenon_H76 ]. % 0.99/1.17 apply (zenon_L189_); trivial. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H74 | zenon_intro zenon_H2 ]. % 0.99/1.17 exact (zenon_H73 zenon_H74). % 0.99/1.17 exact (zenon_H1 zenon_H2). % 0.99/1.17 (* end of lemma zenon_L190_ *) % 0.99/1.17 assert (zenon_L191_ : (forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))) -> (ndr1_0) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> False). % 0.99/1.17 do 0 intro. intros zenon_H1c3 zenon_H20 zenon_H1a4 zenon_H191 zenon_H192. % 0.99/1.17 generalize (zenon_H1c3 (a1648)). zenon_intro zenon_H213. % 0.99/1.17 apply (zenon_imply_s _ _ zenon_H213); [ zenon_intro zenon_H1f | zenon_intro zenon_H214 ]. % 0.99/1.17 exact (zenon_H1f zenon_H20). % 0.99/1.17 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H215 | zenon_intro zenon_H19b ]. % 0.99/1.17 exact (zenon_H1a4 zenon_H215). % 0.99/1.17 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H196 | zenon_intro zenon_H197 ]. % 0.99/1.17 exact (zenon_H196 zenon_H191). % 0.99/1.17 exact (zenon_H197 zenon_H192). % 0.99/1.17 (* end of lemma zenon_L191_ *) % 0.99/1.17 assert (zenon_L192_ : ((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(hskp0)) -> (~(hskp16)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (c3_1 (a1640)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (~(hskp22)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> False). % 0.99/1.17 do 0 intro. intros zenon_H2f zenon_H1c6 zenon_H1 zenon_H73 zenon_H211 zenon_H13e zenon_H13d zenon_H13c zenon_H84 zenon_H82 zenon_H83 zenon_H20f zenon_H75 zenon_H1a4 zenon_H191 zenon_H192. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H20. zenon_intro zenon_H31. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H23. zenon_intro zenon_H32. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H24. zenon_intro zenon_H22. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1c7 ]. % 0.99/1.17 apply (zenon_L190_); trivial. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H21 | zenon_intro zenon_H1c3 ]. % 0.99/1.17 apply (zenon_L17_); trivial. % 0.99/1.17 apply (zenon_L191_); trivial. % 0.99/1.17 (* end of lemma zenon_L192_ *) % 0.99/1.17 assert (zenon_L193_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(hskp22)) -> (c3_1 (a1640)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(hskp16)) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> (~(hskp12)) -> (~(hskp24)) -> ((hskp12)\/((hskp25)\/(hskp24))) -> False). % 0.99/1.17 do 0 intro. intros zenon_H34 zenon_H1c6 zenon_H192 zenon_H191 zenon_H1a4 zenon_H211 zenon_H20f zenon_H84 zenon_H82 zenon_H83 zenon_H13e zenon_H13d zenon_H13c zenon_H73 zenon_H1 zenon_H75 zenon_H17 zenon_H1b zenon_H1d. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 0.99/1.17 apply (zenon_L15_); trivial. % 0.99/1.17 apply (zenon_L192_); trivial. % 0.99/1.17 (* end of lemma zenon_L193_ *) % 0.99/1.17 assert (zenon_L194_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (ndr1_0) -> (~(c0_1 (a1697))) -> (~(c2_1 (a1697))) -> (~(c3_1 (a1697))) -> False). % 0.99/1.17 do 0 intro. intros zenon_H1ae zenon_H20 zenon_H216 zenon_H217 zenon_H218. % 0.99/1.17 generalize (zenon_H1ae (a1697)). zenon_intro zenon_H219. % 0.99/1.17 apply (zenon_imply_s _ _ zenon_H219); [ zenon_intro zenon_H1f | zenon_intro zenon_H21a ]. % 0.99/1.17 exact (zenon_H1f zenon_H20). % 0.99/1.17 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H21c | zenon_intro zenon_H21b ]. % 0.99/1.17 exact (zenon_H216 zenon_H21c). % 0.99/1.17 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H21e | zenon_intro zenon_H21d ]. % 0.99/1.17 exact (zenon_H217 zenon_H21e). % 0.99/1.17 exact (zenon_H218 zenon_H21d). % 0.99/1.17 (* end of lemma zenon_L194_ *) % 0.99/1.17 assert (zenon_L195_ : ((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c3_1 (a1697))) -> (~(c2_1 (a1697))) -> (~(c0_1 (a1697))) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> False). % 0.99/1.17 do 0 intro. intros zenon_H2f zenon_H1c6 zenon_H218 zenon_H217 zenon_H216 zenon_H1a4 zenon_H191 zenon_H192. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H20. zenon_intro zenon_H31. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H23. zenon_intro zenon_H32. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H24. zenon_intro zenon_H22. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1c7 ]. % 0.99/1.17 apply (zenon_L194_); trivial. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H21 | zenon_intro zenon_H1c3 ]. % 0.99/1.17 apply (zenon_L17_); trivial. % 0.99/1.17 apply (zenon_L191_); trivial. % 0.99/1.17 (* end of lemma zenon_L195_ *) % 0.99/1.17 assert (zenon_L196_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> (~(c3_1 (a1697))) -> (~(c2_1 (a1697))) -> (~(c0_1 (a1697))) -> (~(hskp12)) -> (~(hskp24)) -> ((hskp12)\/((hskp25)\/(hskp24))) -> False). % 0.99/1.17 do 0 intro. intros zenon_H34 zenon_H1c6 zenon_H192 zenon_H191 zenon_H1a4 zenon_H218 zenon_H217 zenon_H216 zenon_H17 zenon_H1b zenon_H1d. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 0.99/1.17 apply (zenon_L15_); trivial. % 0.99/1.17 apply (zenon_L195_); trivial. % 0.99/1.17 (* end of lemma zenon_L196_ *) % 0.99/1.17 assert (zenon_L197_ : ((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(hskp12)) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> False). % 0.99/1.17 do 0 intro. intros zenon_H21f zenon_H65 zenon_H61 zenon_H5a zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1ed zenon_H1 zenon_H41 zenon_H1d zenon_H17 zenon_H1a4 zenon_H191 zenon_H192 zenon_H1c6 zenon_H34. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H20. zenon_intro zenon_H220. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H216. zenon_intro zenon_H221. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H217. zenon_intro zenon_H218. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 0.99/1.17 apply (zenon_L196_); trivial. % 0.99/1.17 apply (zenon_L164_); trivial. % 0.99/1.17 (* end of lemma zenon_L197_ *) % 0.99/1.17 assert (zenon_L198_ : ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c3_1 (a1640)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(hskp16)) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> (~(hskp12)) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> False). % 0.99/1.17 do 0 intro. intros zenon_H222 zenon_H34 zenon_H1c6 zenon_H192 zenon_H191 zenon_H1a4 zenon_H211 zenon_H84 zenon_H82 zenon_H83 zenon_H13e zenon_H13d zenon_H13c zenon_H73 zenon_H1 zenon_H75 zenon_H17 zenon_H1d zenon_H41 zenon_H1ed zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H5a zenon_H61 zenon_H65. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 0.99/1.17 apply (zenon_L193_); trivial. % 0.99/1.17 apply (zenon_L164_); trivial. % 0.99/1.17 apply (zenon_L197_); trivial. % 0.99/1.17 (* end of lemma zenon_L198_ *) % 0.99/1.17 assert (zenon_L199_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((hskp7)\/(hskp8))) -> (~(hskp8)) -> (~(hskp7)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(hskp12)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (c3_1 (a1640)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> False). % 0.99/1.17 do 0 intro. intros zenon_Hf0 zenon_Hf1 zenon_H18f zenon_H18d zenon_H9 zenon_H8d zenon_H65 zenon_H61 zenon_H5a zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1ed zenon_H41 zenon_H1d zenon_H17 zenon_H75 zenon_H1 zenon_H13c zenon_H13d zenon_H13e zenon_H83 zenon_H82 zenon_H84 zenon_H211 zenon_H1a4 zenon_H191 zenon_H192 zenon_H1c6 zenon_H34 zenon_H222. % 0.99/1.17 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 0.99/1.17 apply (zenon_L198_); trivial. % 0.99/1.17 apply (zenon_L108_); trivial. % 0.99/1.17 (* end of lemma zenon_L199_ *) % 0.99/1.17 assert (zenon_L200_ : ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15)))))) -> (ndr1_0) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> False). % 0.99/1.17 do 0 intro. intros zenon_H1ab zenon_H13e zenon_H13d zenon_H13c zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H35 zenon_H20 zenon_H128 zenon_H129 zenon_H12a. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H13b | zenon_intro zenon_H1ac ]. % 0.99/1.17 apply (zenon_L74_); trivial. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H69 | zenon_intro zenon_H127 ]. % 0.99/1.17 apply (zenon_L168_); trivial. % 0.99/1.17 apply (zenon_L69_); trivial. % 0.99/1.17 (* end of lemma zenon_L200_ *) % 0.99/1.17 assert (zenon_L201_ : ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> (ndr1_0) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (~(hskp0)) -> (~(hskp28)) -> False). % 0.99/1.17 do 0 intro. intros zenon_H41 zenon_H12a zenon_H129 zenon_H128 zenon_H20 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H13c zenon_H13d zenon_H13e zenon_H1ab zenon_H1 zenon_H3f. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H35 | zenon_intro zenon_H42 ]. % 0.99/1.17 apply (zenon_L200_); trivial. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2 | zenon_intro zenon_H40 ]. % 0.99/1.17 exact (zenon_H1 zenon_H2). % 0.99/1.17 exact (zenon_H3f zenon_H40). % 0.99/1.17 (* end of lemma zenon_L201_ *) % 0.99/1.17 assert (zenon_L202_ : ((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c3_1 (a1682))) -> (c1_1 (a1682)) -> (c2_1 (a1682)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> False). % 0.99/1.17 do 0 intro. intros zenon_H59 zenon_H5a zenon_H44 zenon_H45 zenon_H46 zenon_H5b zenon_H13c zenon_H13d zenon_H13e zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H128 zenon_H129 zenon_H12a zenon_H1ab. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H21 ]. % 0.99/1.17 apply (zenon_L200_); trivial. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H35 | zenon_intro zenon_H5f ]. % 0.99/1.17 apply (zenon_L200_); trivial. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H43 | zenon_intro zenon_H56 ]. % 0.99/1.17 apply (zenon_L25_); trivial. % 0.99/1.17 apply (zenon_L27_); trivial. % 0.99/1.17 (* end of lemma zenon_L202_ *) % 0.99/1.17 assert (zenon_L203_ : ((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> False). % 0.99/1.17 do 0 intro. intros zenon_H64 zenon_H61 zenon_H5a zenon_H5b zenon_H1ab zenon_H12a zenon_H129 zenon_H128 zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H13e zenon_H13d zenon_H13c zenon_H1 zenon_H41. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H20. zenon_intro zenon_H66. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H45. zenon_intro zenon_H67. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 0.99/1.17 apply (zenon_L201_); trivial. % 0.99/1.17 apply (zenon_L202_); trivial. % 0.99/1.17 (* end of lemma zenon_L203_ *) % 0.99/1.17 assert (zenon_L204_ : ((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((hskp15)\/((hskp19)\/(hskp1))) -> (~(hskp1)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> (~(hskp0)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> False). % 0.99/1.17 do 0 intro. intros zenon_H15d zenon_H118 zenon_H15 zenon_H5 zenon_H41 zenon_H1 zenon_H13c zenon_H13d zenon_H13e zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1ab zenon_H5b zenon_H5a zenon_H61 zenon_H68. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 0.99/1.17 apply (zenon_L11_); trivial. % 0.99/1.17 apply (zenon_L203_); trivial. % 0.99/1.17 apply (zenon_L136_); trivial. % 0.99/1.17 (* end of lemma zenon_L204_ *) % 0.99/1.17 assert (zenon_L205_ : ((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((hskp15)\/((hskp19)\/(hskp1))) -> (~(hskp1)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c3_1 (a1640)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (~(hskp7)) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((hskp7)\/(hskp8))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> False). % 0.99/1.17 do 0 intro. intros zenon_H155 zenon_H15a zenon_H118 zenon_H15 zenon_H5 zenon_H1ab zenon_H5b zenon_H68 zenon_H222 zenon_H34 zenon_H1c6 zenon_H192 zenon_H191 zenon_H1a4 zenon_H211 zenon_H84 zenon_H82 zenon_H83 zenon_H1 zenon_H75 zenon_H1d zenon_H41 zenon_H1ed zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H5a zenon_H61 zenon_H65 zenon_H8d zenon_H9 zenon_H18d zenon_H18f zenon_Hf1 zenon_Hf0. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 0.99/1.17 apply (zenon_L199_); trivial. % 0.99/1.17 apply (zenon_L204_); trivial. % 0.99/1.17 (* end of lemma zenon_L205_ *) % 0.99/1.17 assert (zenon_L206_ : ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15)))))) -> (ndr1_0) -> (~(c3_1 (a1643))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> False). % 0.99/1.17 do 0 intro. intros zenon_H1ab zenon_H13e zenon_H13d zenon_H13c zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H35 zenon_H20 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1b0. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H13b | zenon_intro zenon_H1ac ]. % 0.99/1.17 apply (zenon_L74_); trivial. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H69 | zenon_intro zenon_H127 ]. % 0.99/1.17 apply (zenon_L168_); trivial. % 0.99/1.17 apply (zenon_L125_); trivial. % 0.99/1.17 (* end of lemma zenon_L206_ *) % 0.99/1.17 assert (zenon_L207_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c1_1 (a1643)) -> (~(c2_1 (a1643))) -> (~(c3_1 (a1643))) -> (forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15)))))) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c2_1 (a1709)) -> (c1_1 (a1709)) -> (~(c0_1 (a1709))) -> (ndr1_0) -> (forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))) -> (~(c1_1 (a1667))) -> (c2_1 (a1667)) -> (c0_1 (a1667)) -> False). % 0.99/1.17 do 0 intro. intros zenon_H1c6 zenon_H1b0 zenon_H1af zenon_H1ad zenon_H35 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H13c zenon_H13d zenon_H13e zenon_H1ab zenon_H24 zenon_H23 zenon_H22 zenon_H20 zenon_Ha2 zenon_H78 zenon_H7a zenon_H79. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1c7 ]. % 0.99/1.17 apply (zenon_L206_); trivial. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H21 | zenon_intro zenon_H1c3 ]. % 0.99/1.17 apply (zenon_L17_); trivial. % 0.99/1.17 apply (zenon_L132_); trivial. % 0.99/1.17 (* end of lemma zenon_L207_ *) % 0.99/1.17 assert (zenon_L208_ : ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c1_1 (a1643)) -> (~(c2_1 (a1643))) -> (~(c3_1 (a1643))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (ndr1_0) -> (~(c0_1 (a1709))) -> (c1_1 (a1709)) -> (c2_1 (a1709)) -> (forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))) -> (~(c1_1 (a1667))) -> (c2_1 (a1667)) -> (c0_1 (a1667)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> False). % 0.99/1.17 do 0 intro. intros zenon_H5a zenon_H1ab zenon_H1b0 zenon_H1af zenon_H1ad zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H13e zenon_H13d zenon_H13c zenon_H20 zenon_H22 zenon_H23 zenon_H24 zenon_Ha2 zenon_H78 zenon_H7a zenon_H79 zenon_H1c6. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H21 ]. % 0.99/1.17 apply (zenon_L207_); trivial. % 0.99/1.17 apply (zenon_L17_); trivial. % 0.99/1.17 (* end of lemma zenon_L208_ *) % 0.99/1.17 assert (zenon_L209_ : ((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(hskp12)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c1_1 (a1643)) -> (~(c2_1 (a1643))) -> (~(c3_1 (a1643))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(c1_1 (a1667))) -> (c2_1 (a1667)) -> (c0_1 (a1667)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> False). % 0.99/1.17 do 0 intro. intros zenon_Hf8 zenon_H65 zenon_H61 zenon_H1ed zenon_H1 zenon_H41 zenon_H1d zenon_H17 zenon_H5a zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H1ab zenon_H1b0 zenon_H1af zenon_H1ad zenon_H13e zenon_H13d zenon_H13c zenon_H78 zenon_H7a zenon_H79 zenon_H1c6 zenon_Hca zenon_H34. % 0.99/1.17 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_H20. zenon_intro zenon_Hf9. % 0.99/1.17 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H9a. zenon_intro zenon_Hfa. % 0.99/1.17 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_H98. zenon_intro zenon_H99. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 0.99/1.17 apply (zenon_L15_); trivial. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H20. zenon_intro zenon_H31. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H23. zenon_intro zenon_H32. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H24. zenon_intro zenon_H22. % 0.99/1.17 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H97 | zenon_intro zenon_Hcd ]. % 0.99/1.17 apply (zenon_L43_); trivial. % 0.99/1.17 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H69 | zenon_intro zenon_Ha2 ]. % 0.99/1.17 apply (zenon_L169_); trivial. % 0.99/1.17 apply (zenon_L208_); trivial. % 0.99/1.17 apply (zenon_L164_); trivial. % 0.99/1.17 (* end of lemma zenon_L209_ *) % 0.99/1.17 assert (zenon_L210_ : ((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(hskp12)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c1_1 (a1643)) -> (~(c2_1 (a1643))) -> (~(c3_1 (a1643))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> False). % 0.99/1.17 do 0 intro. intros zenon_Hf5 zenon_Hf1 zenon_H65 zenon_H61 zenon_H1ed zenon_H1 zenon_H41 zenon_H1d zenon_H17 zenon_H5a zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H1ab zenon_H1b0 zenon_H1af zenon_H1ad zenon_H13e zenon_H13d zenon_H13c zenon_H1c6 zenon_Hca zenon_H34 zenon_H82 zenon_H83 zenon_H84 zenon_H8d. % 0.99/1.17 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_H20. zenon_intro zenon_Hf6. % 0.99/1.17 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H79. zenon_intro zenon_Hf7. % 0.99/1.17 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H7a. zenon_intro zenon_H78. % 0.99/1.17 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 0.99/1.17 apply (zenon_L38_); trivial. % 0.99/1.17 apply (zenon_L209_); trivial. % 0.99/1.17 (* end of lemma zenon_L210_ *) % 0.99/1.17 assert (zenon_L211_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(hskp12)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c1_1 (a1643)) -> (~(c2_1 (a1643))) -> (~(c3_1 (a1643))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (ndr1_0) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> (~(hskp10)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> False). % 0.99/1.17 do 0 intro. intros zenon_Hf0 zenon_Hf1 zenon_H65 zenon_H61 zenon_H1ed zenon_H1 zenon_H41 zenon_H1d zenon_H17 zenon_H5a zenon_H1ab zenon_H1b0 zenon_H1af zenon_H1ad zenon_H13e zenon_H13d zenon_H13c zenon_H1c6 zenon_Hca zenon_H34 zenon_H82 zenon_H83 zenon_H84 zenon_H8d zenon_H20 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H189 zenon_H1d1. % 0.99/1.17 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 0.99/1.17 apply (zenon_L159_); trivial. % 0.99/1.17 apply (zenon_L210_); trivial. % 0.99/1.17 (* end of lemma zenon_L211_ *) % 0.99/1.17 assert (zenon_L212_ : ((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((hskp15)\/((hskp19)\/(hskp1))) -> (~(hskp1)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> (~(hskp0)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> False). % 0.99/1.17 do 0 intro. intros zenon_H155 zenon_H15a zenon_H118 zenon_H15 zenon_H5 zenon_H5b zenon_H68 zenon_H1d1 zenon_H189 zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H8d zenon_H84 zenon_H83 zenon_H82 zenon_H34 zenon_Hca zenon_H1c6 zenon_H1ad zenon_H1af zenon_H1b0 zenon_H1ab zenon_H5a zenon_H1d zenon_H41 zenon_H1 zenon_H1ed zenon_H61 zenon_H65 zenon_Hf1 zenon_Hf0. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 0.99/1.17 apply (zenon_L211_); trivial. % 0.99/1.17 apply (zenon_L204_); trivial. % 0.99/1.17 (* end of lemma zenon_L212_ *) % 0.99/1.17 assert (zenon_L213_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((hskp15)\/((hskp19)\/(hskp1))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> (~(hskp0)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((hskp10)\/((hskp18)\/(hskp11))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> (c1_1 (a1643)) -> (~(c2_1 (a1643))) -> (~(c3_1 (a1643))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp10)\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> False). % 0.99/1.17 do 0 intro. intros zenon_H159 zenon_H15a zenon_H118 zenon_H15 zenon_H5b zenon_H68 zenon_H1d1 zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H8d zenon_H84 zenon_H83 zenon_H82 zenon_H34 zenon_Hca zenon_H1c6 zenon_H1ab zenon_H5a zenon_H1d zenon_H41 zenon_H1 zenon_H1ed zenon_H61 zenon_H65 zenon_Hf1 zenon_Hf0 zenon_H18b zenon_H189 zenon_H132 zenon_H1b0 zenon_H1af zenon_H1ad zenon_H5 zenon_H1bc zenon_H136. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 0.99/1.17 apply (zenon_L127_); trivial. % 0.99/1.17 apply (zenon_L212_); trivial. % 0.99/1.17 (* end of lemma zenon_L213_ *) % 0.99/1.17 assert (zenon_L214_ : ((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((hskp15)\/((hskp19)\/(hskp1))) -> (~(hskp1)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c3_1 (a1640)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> False). % 0.99/1.17 do 0 intro. intros zenon_H155 zenon_H15a zenon_H118 zenon_H15 zenon_H5 zenon_H5b zenon_H68 zenon_H222 zenon_H34 zenon_H1c6 zenon_H192 zenon_H191 zenon_H1a4 zenon_H211 zenon_H84 zenon_H82 zenon_H83 zenon_H1 zenon_H75 zenon_H1d zenon_H41 zenon_H1ed zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H5a zenon_H61 zenon_H65 zenon_H8d zenon_Hca zenon_H1ad zenon_H1af zenon_H1b0 zenon_H1ab zenon_Hf1 zenon_Hf0. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 0.99/1.17 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 0.99/1.17 apply (zenon_L198_); trivial. % 0.99/1.17 apply (zenon_L210_); trivial. % 0.99/1.17 apply (zenon_L204_); trivial. % 0.99/1.17 (* end of lemma zenon_L214_ *) % 0.99/1.17 assert (zenon_L215_ : ((ndr1_0)/\((c1_1 (a1643))/\((~(c2_1 (a1643)))/\(~(c3_1 (a1643)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1648))/\((c2_1 (a1648))/\(~(c3_1 (a1648))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> ((hskp10)\/((hskp18)\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((hskp15)\/((hskp19)\/(hskp1))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> False). % 0.99/1.17 do 0 intro. intros zenon_H223 zenon_H224 zenon_H222 zenon_H211 zenon_H75 zenon_H117 zenon_H107 zenon_H105 zenon_Hce zenon_H30 zenon_H1ff zenon_H19d zenon_H19f zenon_H11b zenon_H136 zenon_H1bc zenon_H5 zenon_H132 zenon_H18b zenon_Hf0 zenon_Hf1 zenon_H65 zenon_H61 zenon_H1ed zenon_H1 zenon_H41 zenon_H1d zenon_H5a zenon_H1ab zenon_H1c6 zenon_Hca zenon_H34 zenon_H82 zenon_H83 zenon_H84 zenon_H8d zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1d1 zenon_H68 zenon_H5b zenon_H15 zenon_H118 zenon_H15a zenon_H159. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H20. zenon_intro zenon_H225. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H1b0. zenon_intro zenon_H226. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_H1af. zenon_intro zenon_H1ad. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 0.99/1.17 apply (zenon_L213_); trivial. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 0.99/1.17 apply (zenon_L184_); trivial. % 0.99/1.17 apply (zenon_L214_); trivial. % 0.99/1.17 (* end of lemma zenon_L215_ *) % 0.99/1.17 assert (zenon_L216_ : ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp3))) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> (ndr1_0) -> (forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15)))))) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (~(hskp3)) -> False). % 0.99/1.17 do 0 intro. intros zenon_H150 zenon_H161 zenon_H163 zenon_H162 zenon_H20 zenon_H35 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H13c zenon_H13d zenon_H13e zenon_H1ab zenon_H105. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H13b | zenon_intro zenon_H153 ]. % 0.99/1.17 apply (zenon_L74_); trivial. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_H145 | zenon_intro zenon_H106 ]. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H13b | zenon_intro zenon_H1ac ]. % 0.99/1.17 apply (zenon_L74_); trivial. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H69 | zenon_intro zenon_H127 ]. % 0.99/1.17 apply (zenon_L168_); trivial. % 0.99/1.17 apply (zenon_L148_); trivial. % 0.99/1.17 exact (zenon_H105 zenon_H106). % 0.99/1.17 (* end of lemma zenon_L216_ *) % 0.99/1.17 assert (zenon_L217_ : ((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (~(hskp3)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp3))) -> False). % 0.99/1.17 do 0 intro. intros zenon_H2f zenon_H5a zenon_H13c zenon_H13d zenon_H13e zenon_H1ab zenon_H161 zenon_H163 zenon_H162 zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H105 zenon_H150. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H20. zenon_intro zenon_H31. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H23. zenon_intro zenon_H32. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H24. zenon_intro zenon_H22. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H21 ]. % 0.99/1.17 apply (zenon_L216_); trivial. % 0.99/1.17 apply (zenon_L17_); trivial. % 0.99/1.17 (* end of lemma zenon_L217_ *) % 0.99/1.17 assert (zenon_L218_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (~(hskp3)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp3))) -> (~(hskp12)) -> (~(hskp24)) -> ((hskp12)\/((hskp25)\/(hskp24))) -> False). % 0.99/1.17 do 0 intro. intros zenon_H34 zenon_H5a zenon_H13c zenon_H13d zenon_H13e zenon_H1ab zenon_H161 zenon_H163 zenon_H162 zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H105 zenon_H150 zenon_H17 zenon_H1b zenon_H1d. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 0.99/1.17 apply (zenon_L15_); trivial. % 0.99/1.17 apply (zenon_L217_); trivial. % 0.99/1.17 (* end of lemma zenon_L218_ *) % 0.99/1.17 assert (zenon_L219_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(hskp12)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> (~(c3_1 (a1642))) -> (c0_1 (a1642)) -> (~(c2_1 (a1642))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> False). % 0.99/1.17 do 0 intro. intros zenon_H65 zenon_H61 zenon_H1ed zenon_H1 zenon_H41 zenon_H1d zenon_H17 zenon_H150 zenon_H105 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H162 zenon_H163 zenon_H161 zenon_H1ab zenon_H13e zenon_H13d zenon_H13c zenon_H5a zenon_H34. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 0.99/1.17 apply (zenon_L218_); trivial. % 0.99/1.17 apply (zenon_L164_); trivial. % 0.99/1.17 (* end of lemma zenon_L219_ *) % 0.99/1.17 assert (zenon_L220_ : ((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((hskp15)\/((hskp19)\/(hskp1))) -> (~(hskp1)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (~(hskp3)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp3))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> (~(hskp0)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> False). % 0.99/1.17 do 0 intro. intros zenon_H155 zenon_H15a zenon_H118 zenon_H15 zenon_H5 zenon_H5b zenon_H68 zenon_H34 zenon_H5a zenon_H1ab zenon_H161 zenon_H163 zenon_H162 zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H105 zenon_H150 zenon_H1d zenon_H41 zenon_H1 zenon_H1ed zenon_H61 zenon_H65. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 0.99/1.17 apply (zenon_L219_); trivial. % 0.99/1.17 apply (zenon_L204_); trivial. % 0.99/1.17 (* end of lemma zenon_L220_ *) % 0.99/1.17 assert (zenon_L221_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> (~(hskp10)) -> (~(hskp16)) -> (ndr1_0) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (~(hskp4)) -> False). % 0.99/1.17 do 0 intro. intros zenon_Heb zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_H189 zenon_H73 zenon_H20 zenon_H82 zenon_H83 zenon_H84 zenon_H1d1 zenon_He8. % 0.99/1.17 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hee ]. % 0.99/1.17 apply (zenon_L52_); trivial. % 0.99/1.17 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_Hde | zenon_intro zenon_He9 ]. % 0.99/1.17 apply (zenon_L141_); trivial. % 0.99/1.17 exact (zenon_He8 zenon_He9). % 0.99/1.17 (* end of lemma zenon_L221_ *) % 0.99/1.17 assert (zenon_L222_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> (ndr1_0) -> (~(c0_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c3_1 (a1644))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> False). % 0.99/1.17 do 0 intro. intros zenon_Hf0 zenon_H19f zenon_H19d zenon_H20 zenon_Hd5 zenon_Hd6 zenon_Hd7 zenon_H1d1 zenon_H189 zenon_H84 zenon_H83 zenon_H82 zenon_He8 zenon_Heb. % 0.99/1.17 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 0.99/1.17 apply (zenon_L221_); trivial. % 0.99/1.17 apply (zenon_L114_); trivial. % 0.99/1.17 (* end of lemma zenon_L222_ *) % 0.99/1.17 assert (zenon_L223_ : (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27)))))) -> (ndr1_0) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> False). % 0.99/1.17 do 0 intro. intros zenon_H109 zenon_H20 zenon_H227 zenon_H228 zenon_H229. % 0.99/1.17 generalize (zenon_H109 (a1638)). zenon_intro zenon_H22a. % 0.99/1.17 apply (zenon_imply_s _ _ zenon_H22a); [ zenon_intro zenon_H1f | zenon_intro zenon_H22b ]. % 0.99/1.17 exact (zenon_H1f zenon_H20). % 0.99/1.17 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H22d | zenon_intro zenon_H22c ]. % 0.99/1.17 exact (zenon_H227 zenon_H22d). % 0.99/1.17 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H22f | zenon_intro zenon_H22e ]. % 0.99/1.17 exact (zenon_H228 zenon_H22f). % 0.99/1.17 exact (zenon_H22e zenon_H229). % 0.99/1.17 (* end of lemma zenon_L223_ *) % 0.99/1.17 assert (zenon_L224_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(hskp20)) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(hskp21)) -> (~(hskp12)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> False). % 0.99/1.17 do 0 intro. intros zenon_Hd0 zenon_H95 zenon_H91 zenon_H227 zenon_H228 zenon_H229 zenon_Hb2 zenon_Hb0 zenon_H17 zenon_H112 zenon_Hcf. % 0.99/1.17 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H8f | zenon_intro zenon_Hbd ]. % 0.99/1.17 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H93 | zenon_intro zenon_Hd1 ]. % 0.99/1.17 apply (zenon_L42_); trivial. % 0.99/1.17 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H20. zenon_intro zenon_Hd2. % 0.99/1.17 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Ha1. zenon_intro zenon_Hd3. % 0.99/1.17 apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_Ha3. zenon_intro zenon_Ha4. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H109 | zenon_intro zenon_H113 ]. % 0.99/1.17 apply (zenon_L223_); trivial. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H18 ]. % 0.99/1.17 apply (zenon_L46_); trivial. % 0.99/1.17 exact (zenon_H17 zenon_H18). % 0.99/1.17 apply (zenon_L48_); trivial. % 0.99/1.17 (* end of lemma zenon_L224_ *) % 0.99/1.17 assert (zenon_L225_ : ((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (~(hskp12)) -> False). % 0.99/1.17 do 0 intro. intros zenon_Hc9 zenon_H112 zenon_H229 zenon_H228 zenon_H227 zenon_H17. % 0.99/1.17 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H20. zenon_intro zenon_Hcb. % 0.99/1.17 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc1. zenon_intro zenon_Hcc. % 0.99/1.17 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc2. zenon_intro zenon_Hc0. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H109 | zenon_intro zenon_H113 ]. % 0.99/1.17 apply (zenon_L223_); trivial. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H18 ]. % 0.99/1.17 apply (zenon_L49_); trivial. % 0.99/1.17 exact (zenon_H17 zenon_H18). % 0.99/1.17 (* end of lemma zenon_L225_ *) % 0.99/1.17 assert (zenon_L226_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (~(hskp20)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> False). % 0.99/1.17 do 0 intro. intros zenon_Hce zenon_Hcf zenon_H112 zenon_H17 zenon_Hb2 zenon_H229 zenon_H228 zenon_H227 zenon_H91 zenon_H95 zenon_Hd0. % 0.99/1.17 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 0.99/1.17 apply (zenon_L224_); trivial. % 0.99/1.17 apply (zenon_L225_); trivial. % 0.99/1.17 (* end of lemma zenon_L226_ *) % 0.99/1.17 assert (zenon_L227_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(hskp12)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> False). % 0.99/1.17 do 0 intro. intros zenon_Hf2 zenon_Heb zenon_He8 zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_Hd0 zenon_H95 zenon_H227 zenon_H228 zenon_H229 zenon_Hb2 zenon_H17 zenon_H112 zenon_Hcf zenon_Hce. % 0.99/1.17 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 0.99/1.17 apply (zenon_L226_); trivial. % 0.99/1.17 apply (zenon_L55_); trivial. % 0.99/1.17 (* end of lemma zenon_L227_ *) % 0.99/1.17 assert (zenon_L228_ : (~(hskp29)) -> (hskp29) -> False). % 0.99/1.17 do 0 intro. intros zenon_H230 zenon_H231. % 0.99/1.17 exact (zenon_H230 zenon_H231). % 0.99/1.17 (* end of lemma zenon_L228_ *) % 0.99/1.17 assert (zenon_L229_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (~(hskp24)) -> (ndr1_0) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (~(hskp29)) -> False). % 0.99/1.17 do 0 intro. intros zenon_H232 zenon_H229 zenon_H228 zenon_H227 zenon_H1b zenon_H20 zenon_H191 zenon_H192 zenon_H233 zenon_H230. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H109 | zenon_intro zenon_H234 ]. % 0.99/1.17 apply (zenon_L223_); trivial. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H77 | zenon_intro zenon_H231 ]. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H56 | zenon_intro zenon_H235 ]. % 0.99/1.17 apply (zenon_L111_); trivial. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H231 | zenon_intro zenon_H1c ]. % 0.99/1.17 exact (zenon_H230 zenon_H231). % 0.99/1.17 exact (zenon_H1b zenon_H1c). % 0.99/1.17 exact (zenon_H230 zenon_H231). % 0.99/1.17 (* end of lemma zenon_L229_ *) % 0.99/1.17 assert (zenon_L230_ : (forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))) -> (ndr1_0) -> (c0_1 (a1647)) -> (c1_1 (a1647)) -> (c3_1 (a1647)) -> False). % 0.99/1.17 do 0 intro. intros zenon_H1e9 zenon_H20 zenon_H236 zenon_H237 zenon_H238. % 0.99/1.17 generalize (zenon_H1e9 (a1647)). zenon_intro zenon_H239. % 0.99/1.17 apply (zenon_imply_s _ _ zenon_H239); [ zenon_intro zenon_H1f | zenon_intro zenon_H23a ]. % 0.99/1.17 exact (zenon_H1f zenon_H20). % 0.99/1.17 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H23c | zenon_intro zenon_H23b ]. % 0.99/1.17 exact (zenon_H23c zenon_H236). % 0.99/1.17 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H23e | zenon_intro zenon_H23d ]. % 0.99/1.17 exact (zenon_H23e zenon_H237). % 0.99/1.17 exact (zenon_H23d zenon_H238). % 0.99/1.17 (* end of lemma zenon_L230_ *) % 0.99/1.17 assert (zenon_L231_ : ((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c2_1 (a1682)) -> (c1_1 (a1682)) -> (~(c3_1 (a1682))) -> (~(hskp22)) -> False). % 0.99/1.17 do 0 intro. intros zenon_H23f zenon_H211 zenon_H46 zenon_H45 zenon_H44 zenon_H20f. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H20. zenon_intro zenon_H240. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H236. zenon_intro zenon_H241. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H237. zenon_intro zenon_H238. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H43 | zenon_intro zenon_H212 ]. % 0.99/1.17 apply (zenon_L25_); trivial. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H210 ]. % 0.99/1.17 apply (zenon_L230_); trivial. % 0.99/1.17 exact (zenon_H20f zenon_H210). % 0.99/1.17 (* end of lemma zenon_L231_ *) % 0.99/1.17 assert (zenon_L232_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(hskp22)) -> (c2_1 (a1682)) -> (c1_1 (a1682)) -> (~(c3_1 (a1682))) -> (ndr1_0) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (~(hskp24)) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> False). % 0.99/1.17 do 0 intro. intros zenon_H242 zenon_H211 zenon_H20f zenon_H46 zenon_H45 zenon_H44 zenon_H20 zenon_H227 zenon_H228 zenon_H229 zenon_H233 zenon_H1b zenon_H192 zenon_H191 zenon_H232. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 0.99/1.17 apply (zenon_L229_); trivial. % 0.99/1.17 apply (zenon_L231_); trivial. % 0.99/1.17 (* end of lemma zenon_L232_ *) % 0.99/1.17 assert (zenon_L233_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (ndr1_0) -> (~(c3_1 (a1682))) -> (c1_1 (a1682)) -> (c2_1 (a1682)) -> (~(hskp22)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> False). % 0.99/1.17 do 0 intro. intros zenon_H65 zenon_H61 zenon_H5a zenon_H5b zenon_H1 zenon_H41 zenon_H232 zenon_H191 zenon_H192 zenon_H233 zenon_H229 zenon_H228 zenon_H227 zenon_H20 zenon_H44 zenon_H45 zenon_H46 zenon_H20f zenon_H211 zenon_H242. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 0.99/1.17 apply (zenon_L232_); trivial. % 0.99/1.17 apply (zenon_L29_); trivial. % 0.99/1.17 (* end of lemma zenon_L233_ *) % 0.99/1.17 assert (zenon_L234_ : ((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> (~(hskp17)) -> (~(hskp1)) -> ((hskp25)\/((hskp17)\/(hskp1))) -> False). % 0.99/1.17 do 0 intro. intros zenon_H21f zenon_H34 zenon_H1c6 zenon_H192 zenon_H191 zenon_H1a4 zenon_H8b zenon_H5 zenon_H243. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H20. zenon_intro zenon_H220. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H216. zenon_intro zenon_H221. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H217. zenon_intro zenon_H218. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1a | zenon_intro zenon_H1df ]. % 0.99/1.17 exact (zenon_H19 zenon_H1a). % 0.99/1.17 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H8c | zenon_intro zenon_H6 ]. % 0.99/1.17 exact (zenon_H8b zenon_H8c). % 0.99/1.17 exact (zenon_H5 zenon_H6). % 0.99/1.17 apply (zenon_L195_); trivial. % 0.99/1.17 (* end of lemma zenon_L234_ *) % 0.99/1.17 assert (zenon_L235_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c3_1 (a1648))) -> (~(hskp17)) -> ((hskp25)\/((hskp17)\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> (~(hskp15)) -> (~(hskp1)) -> ((hskp15)\/((hskp19)\/(hskp1))) -> False). % 0.99/1.17 do 0 intro. intros zenon_H68 zenon_H222 zenon_H34 zenon_H1c6 zenon_H1a4 zenon_H8b zenon_H243 zenon_H242 zenon_H211 zenon_H227 zenon_H228 zenon_H229 zenon_H233 zenon_H192 zenon_H191 zenon_H232 zenon_H41 zenon_H1 zenon_H5b zenon_H5a zenon_H61 zenon_H65 zenon_H11 zenon_H5 zenon_H15. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 0.99/1.17 apply (zenon_L11_); trivial. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H20. zenon_intro zenon_H66. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H45. zenon_intro zenon_H67. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 0.99/1.17 apply (zenon_L233_); trivial. % 0.99/1.17 apply (zenon_L234_); trivial. % 0.99/1.17 (* end of lemma zenon_L235_ *) % 0.99/1.17 assert (zenon_L236_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (~(hskp28)) -> (ndr1_0) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> (~(hskp29)) -> False). % 0.99/1.17 do 0 intro. intros zenon_H232 zenon_H229 zenon_H228 zenon_H227 zenon_H3f zenon_H20 zenon_H191 zenon_H192 zenon_H128 zenon_H129 zenon_H12a zenon_H1ff zenon_H230. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H109 | zenon_intro zenon_H234 ]. % 0.99/1.17 apply (zenon_L223_); trivial. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H77 | zenon_intro zenon_H231 ]. % 0.99/1.17 apply (zenon_L176_); trivial. % 0.99/1.17 exact (zenon_H230 zenon_H231). % 0.99/1.17 (* end of lemma zenon_L236_ *) % 0.99/1.17 assert (zenon_L237_ : (forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75)))))) -> (ndr1_0) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))) -> (c0_1 (a1647)) -> (c3_1 (a1647)) -> False). % 0.99/1.17 do 0 intro. intros zenon_H81 zenon_H20 zenon_H244 zenon_H236 zenon_H238. % 0.99/1.17 generalize (zenon_H81 (a1647)). zenon_intro zenon_H245. % 0.99/1.17 apply (zenon_imply_s _ _ zenon_H245); [ zenon_intro zenon_H1f | zenon_intro zenon_H246 ]. % 0.99/1.17 exact (zenon_H1f zenon_H20). % 0.99/1.17 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H248 | zenon_intro zenon_H247 ]. % 0.99/1.17 generalize (zenon_H244 (a1647)). zenon_intro zenon_H249. % 0.99/1.17 apply (zenon_imply_s _ _ zenon_H249); [ zenon_intro zenon_H1f | zenon_intro zenon_H24a ]. % 0.99/1.17 exact (zenon_H1f zenon_H20). % 0.99/1.17 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H23c | zenon_intro zenon_H24b ]. % 0.99/1.17 exact (zenon_H23c zenon_H236). % 0.99/1.17 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H24c | zenon_intro zenon_H23d ]. % 0.99/1.17 exact (zenon_H24c zenon_H248). % 0.99/1.17 exact (zenon_H23d zenon_H238). % 0.99/1.17 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H23c | zenon_intro zenon_H23d ]. % 0.99/1.17 exact (zenon_H23c zenon_H236). % 0.99/1.17 exact (zenon_H23d zenon_H238). % 0.99/1.17 (* end of lemma zenon_L237_ *) % 0.99/1.17 assert (zenon_L238_ : ((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/((hskp20)\/(hskp28))) -> (c3_1 (a1647)) -> (c0_1 (a1647)) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))) -> (ndr1_0) -> (~(hskp20)) -> (~(hskp28)) -> False). % 0.99/1.17 do 0 intro. intros zenon_H24d zenon_H238 zenon_H236 zenon_H244 zenon_H20 zenon_H91 zenon_H3f. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H81 | zenon_intro zenon_H24e ]. % 0.99/1.17 apply (zenon_L237_); trivial. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H92 | zenon_intro zenon_H40 ]. % 0.99/1.17 exact (zenon_H91 zenon_H92). % 0.99/1.17 exact (zenon_H3f zenon_H40). % 0.99/1.17 (* end of lemma zenon_L238_ *) % 0.99/1.17 assert (zenon_L239_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp20)) -> ((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/((hskp20)\/(hskp28))) -> (c2_1 (a1675)) -> (~(c1_1 (a1675))) -> (~(c0_1 (a1675))) -> (ndr1_0) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> (~(hskp28)) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> False). % 0.99/1.17 do 0 intro. intros zenon_H242 zenon_H24f zenon_H91 zenon_H24d zenon_H9a zenon_H99 zenon_H98 zenon_H20 zenon_H227 zenon_H228 zenon_H229 zenon_H1ff zenon_H3f zenon_H192 zenon_H191 zenon_H12a zenon_H129 zenon_H128 zenon_H232. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 0.99/1.17 apply (zenon_L236_); trivial. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H20. zenon_intro zenon_H240. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H236. zenon_intro zenon_H241. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H237. zenon_intro zenon_H238. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H97 | zenon_intro zenon_H250 ]. % 0.99/1.17 apply (zenon_L43_); trivial. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H127 | zenon_intro zenon_H244 ]. % 0.99/1.17 apply (zenon_L69_); trivial. % 0.99/1.17 apply (zenon_L238_); trivial. % 0.99/1.17 (* end of lemma zenon_L239_ *) % 0.99/1.17 assert (zenon_L240_ : ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (c2_1 (a1646)) -> (c1_1 (a1646)) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16)))))) -> (ndr1_0) -> (c0_1 (a1647)) -> (c1_1 (a1647)) -> (c3_1 (a1647)) -> False). % 0.99/1.17 do 0 intro. intros zenon_H1ed zenon_H84 zenon_H83 zenon_H82 zenon_Hde zenon_H4f zenon_H4e zenon_H21 zenon_H20 zenon_H236 zenon_H237 zenon_H238. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1ee ]. % 0.99/1.17 apply (zenon_L140_); trivial. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H56 | zenon_intro zenon_H1e9 ]. % 0.99/1.17 apply (zenon_L27_); trivial. % 0.99/1.17 apply (zenon_L230_); trivial. % 0.99/1.17 (* end of lemma zenon_L240_ *) % 0.99/1.17 assert (zenon_L241_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c3_1 (a1697))) -> (~(c2_1 (a1697))) -> (~(c0_1 (a1697))) -> (c3_1 (a1647)) -> (c1_1 (a1647)) -> (c0_1 (a1647)) -> (c1_1 (a1646)) -> (c2_1 (a1646)) -> (forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (ndr1_0) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> False). % 0.99/1.17 do 0 intro. intros zenon_H1c6 zenon_H218 zenon_H217 zenon_H216 zenon_H238 zenon_H237 zenon_H236 zenon_H4e zenon_H4f zenon_Hde zenon_H82 zenon_H83 zenon_H84 zenon_H1ed zenon_H20 zenon_H1a4 zenon_H191 zenon_H192. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1c7 ]. % 0.99/1.17 apply (zenon_L194_); trivial. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H21 | zenon_intro zenon_H1c3 ]. % 0.99/1.17 apply (zenon_L240_); trivial. % 0.99/1.17 apply (zenon_L191_); trivial. % 0.99/1.17 (* end of lemma zenon_L241_ *) % 0.99/1.17 assert (zenon_L242_ : ((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (c2_1 (a1646)) -> (c1_1 (a1646)) -> (~(c0_1 (a1697))) -> (~(c2_1 (a1697))) -> (~(c3_1 (a1697))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(hskp4)) -> False). % 0.99/1.17 do 0 intro. intros zenon_H23f zenon_Heb zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_H192 zenon_H191 zenon_H1a4 zenon_H1ed zenon_H84 zenon_H83 zenon_H82 zenon_H4f zenon_H4e zenon_H216 zenon_H217 zenon_H218 zenon_H1c6 zenon_He8. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H20. zenon_intro zenon_H240. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H236. zenon_intro zenon_H241. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H237. zenon_intro zenon_H238. % 0.99/1.17 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hee ]. % 0.99/1.17 apply (zenon_L52_); trivial. % 0.99/1.17 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_Hde | zenon_intro zenon_He9 ]. % 0.99/1.17 apply (zenon_L241_); trivial. % 0.99/1.17 exact (zenon_He8 zenon_He9). % 0.99/1.17 (* end of lemma zenon_L242_ *) % 0.99/1.17 assert (zenon_L243_ : ((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a1697))) -> (~(c2_1 (a1697))) -> (~(c3_1 (a1697))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (~(c3_1 (a1648))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (~(hskp24)) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> False). % 0.99/1.17 do 0 intro. intros zenon_H59 zenon_H242 zenon_Heb zenon_He8 zenon_H216 zenon_H217 zenon_H218 zenon_H1ed zenon_H84 zenon_H83 zenon_H82 zenon_H1a4 zenon_H1c6 zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_H227 zenon_H228 zenon_H229 zenon_H233 zenon_H1b zenon_H192 zenon_H191 zenon_H232. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 0.99/1.17 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 0.99/1.17 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 0.99/1.17 apply (zenon_L229_); trivial. % 0.99/1.17 apply (zenon_L242_); trivial. % 0.99/1.17 (* end of lemma zenon_L243_ *) % 0.99/1.17 assert (zenon_L244_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a1697))) -> (~(c2_1 (a1697))) -> (~(c3_1 (a1697))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (~(c3_1 (a1648))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (~(hskp24)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (ndr1_0) -> (~(c0_1 (a1675))) -> (~(c1_1 (a1675))) -> (c2_1 (a1675)) -> ((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/((hskp20)\/(hskp28))) -> (~(hskp20)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> False). % 0.99/1.17 do 0 intro. intros zenon_H61 zenon_Heb zenon_He8 zenon_H216 zenon_H217 zenon_H218 zenon_H1ed zenon_H84 zenon_H83 zenon_H82 zenon_H1a4 zenon_H1c6 zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_H233 zenon_H1b zenon_H232 zenon_H128 zenon_H129 zenon_H12a zenon_H191 zenon_H192 zenon_H1ff zenon_H229 zenon_H228 zenon_H227 zenon_H20 zenon_H98 zenon_H99 zenon_H9a zenon_H24d zenon_H91 zenon_H24f zenon_H242. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 0.99/1.18 apply (zenon_L239_); trivial. % 0.99/1.18 apply (zenon_L243_); trivial. % 0.99/1.18 (* end of lemma zenon_L244_ *) % 0.99/1.18 assert (zenon_L245_ : ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp20)) -> ((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/((hskp20)\/(hskp28))) -> (c2_1 (a1675)) -> (~(c1_1 (a1675))) -> (~(c0_1 (a1675))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> (~(c0_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c3_1 (a1644))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c3_1 (a1648))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c2_1 (a1682)) -> (c1_1 (a1682)) -> (~(c3_1 (a1682))) -> (ndr1_0) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> False). % 0.99/1.18 do 0 intro. intros zenon_H222 zenon_H24f zenon_H91 zenon_H24d zenon_H9a zenon_H99 zenon_H98 zenon_H1ff zenon_H12a zenon_H129 zenon_H128 zenon_Hd5 zenon_Hd6 zenon_Hd7 zenon_H1c6 zenon_H1a4 zenon_H82 zenon_H83 zenon_H84 zenon_H1ed zenon_He8 zenon_Heb zenon_H242 zenon_H211 zenon_H46 zenon_H45 zenon_H44 zenon_H20 zenon_H227 zenon_H228 zenon_H229 zenon_H233 zenon_H192 zenon_H191 zenon_H232 zenon_H41 zenon_H1 zenon_H5b zenon_H5a zenon_H61 zenon_H65. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 0.99/1.18 apply (zenon_L233_); trivial. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H20. zenon_intro zenon_H220. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H216. zenon_intro zenon_H221. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H217. zenon_intro zenon_H218. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 0.99/1.18 apply (zenon_L244_); trivial. % 0.99/1.18 apply (zenon_L29_); trivial. % 0.99/1.18 (* end of lemma zenon_L245_ *) % 0.99/1.18 assert (zenon_L246_ : ((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (~(c3_1 (a1648))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> ((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/((hskp20)\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> (~(hskp15)) -> (~(hskp1)) -> ((hskp15)\/((hskp19)\/(hskp1))) -> False). % 0.99/1.18 do 0 intro. intros zenon_Hf8 zenon_H68 zenon_Hf2 zenon_H65 zenon_H61 zenon_H5a zenon_H5b zenon_H1 zenon_H41 zenon_H232 zenon_H191 zenon_H192 zenon_H233 zenon_H229 zenon_H228 zenon_H227 zenon_H211 zenon_H242 zenon_Heb zenon_He8 zenon_H1ed zenon_H84 zenon_H83 zenon_H82 zenon_H1a4 zenon_H1c6 zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_H128 zenon_H129 zenon_H12a zenon_H1ff zenon_H24d zenon_H24f zenon_H222 zenon_H11 zenon_H5 zenon_H15. % 0.99/1.18 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_H20. zenon_intro zenon_Hf9. % 0.99/1.18 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H9a. zenon_intro zenon_Hfa. % 0.99/1.18 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_H98. zenon_intro zenon_H99. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 0.99/1.18 apply (zenon_L11_); trivial. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H20. zenon_intro zenon_H66. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H45. zenon_intro zenon_H67. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.99/1.18 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 0.99/1.18 apply (zenon_L245_); trivial. % 0.99/1.18 apply (zenon_L55_); trivial. % 0.99/1.18 (* end of lemma zenon_L246_ *) % 0.99/1.18 assert (zenon_L247_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> ((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/((hskp20)\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((hskp15)\/((hskp19)\/(hskp1))) -> (~(hskp1)) -> (~(hskp15)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((hskp25)\/((hskp17)\/(hskp1))) -> (~(c3_1 (a1648))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> False). % 0.99/1.18 do 0 intro. intros zenon_Hf1 zenon_Hf2 zenon_Heb zenon_He8 zenon_H1ed zenon_H84 zenon_H83 zenon_H82 zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_H128 zenon_H129 zenon_H12a zenon_H1ff zenon_H24d zenon_H24f zenon_H15 zenon_H5 zenon_H11 zenon_H65 zenon_H61 zenon_H5a zenon_H5b zenon_H1 zenon_H41 zenon_H232 zenon_H191 zenon_H192 zenon_H233 zenon_H229 zenon_H228 zenon_H227 zenon_H211 zenon_H242 zenon_H243 zenon_H1a4 zenon_H1c6 zenon_H34 zenon_H222 zenon_H68. % 0.99/1.18 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 0.99/1.18 apply (zenon_L235_); trivial. % 0.99/1.18 apply (zenon_L246_); trivial. % 0.99/1.18 (* end of lemma zenon_L247_ *) % 0.99/1.18 assert (zenon_L248_ : ((ndr1_0)/\((~(c0_1 (a1644)))/\((~(c1_1 (a1644)))/\(~(c3_1 (a1644)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1648))/\((c2_1 (a1648))/\(~(c3_1 (a1648))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((hskp25)\/((hskp17)\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> (~(hskp1)) -> ((hskp15)\/((hskp19)\/(hskp1))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/((hskp20)\/(hskp28))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> False). % 0.99/1.18 do 0 intro. intros zenon_H158 zenon_H224 zenon_H15a zenon_H118 zenon_Hca zenon_H8d zenon_H75 zenon_H68 zenon_H222 zenon_H34 zenon_H1c6 zenon_H243 zenon_H242 zenon_H211 zenon_H233 zenon_H232 zenon_H41 zenon_H1 zenon_H5b zenon_H5a zenon_H61 zenon_H65 zenon_H5 zenon_H15 zenon_H24f zenon_H24d zenon_H1ff zenon_H1ed zenon_Hf1 zenon_Hce zenon_Hcf zenon_H112 zenon_Hb2 zenon_H229 zenon_H228 zenon_H227 zenon_H95 zenon_Hd0 zenon_Hf2 zenon_Heb zenon_He8 zenon_H82 zenon_H83 zenon_H84 zenon_H1d1 zenon_H19d zenon_H19f zenon_Hf0. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H20. zenon_intro zenon_H15b. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_Hd5. zenon_intro zenon_H15c. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_Hd6. zenon_intro zenon_Hd7. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 0.99/1.18 apply (zenon_L222_); trivial. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 0.99/1.18 apply (zenon_L227_); trivial. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 0.99/1.18 apply (zenon_L247_); trivial. % 0.99/1.18 apply (zenon_L56_); trivial. % 0.99/1.18 (* end of lemma zenon_L248_ *) % 0.99/1.18 assert (zenon_L249_ : (forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67)))))) -> (ndr1_0) -> (forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38)))))) -> (~(c0_1 (a1638))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> False). % 0.99/1.18 do 0 intro. intros zenon_H1c8 zenon_H20 zenon_H251 zenon_H227 zenon_H229 zenon_H228. % 0.99/1.18 generalize (zenon_H1c8 (a1638)). zenon_intro zenon_H252. % 0.99/1.18 apply (zenon_imply_s _ _ zenon_H252); [ zenon_intro zenon_H1f | zenon_intro zenon_H253 ]. % 0.99/1.18 exact (zenon_H1f zenon_H20). % 0.99/1.18 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H254 | zenon_intro zenon_H22c ]. % 0.99/1.18 generalize (zenon_H251 (a1638)). zenon_intro zenon_H255. % 0.99/1.18 apply (zenon_imply_s _ _ zenon_H255); [ zenon_intro zenon_H1f | zenon_intro zenon_H256 ]. % 0.99/1.18 exact (zenon_H1f zenon_H20). % 0.99/1.18 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H22d | zenon_intro zenon_H257 ]. % 0.99/1.18 exact (zenon_H227 zenon_H22d). % 0.99/1.18 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H258 | zenon_intro zenon_H22e ]. % 0.99/1.18 exact (zenon_H258 zenon_H254). % 0.99/1.18 exact (zenon_H22e zenon_H229). % 0.99/1.18 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H22f | zenon_intro zenon_H22e ]. % 0.99/1.18 exact (zenon_H228 zenon_H22f). % 0.99/1.18 exact (zenon_H22e zenon_H229). % 0.99/1.18 (* end of lemma zenon_L249_ *) % 0.99/1.18 assert (zenon_L250_ : ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> (~(c0_1 (a1638))) -> (forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38)))))) -> (ndr1_0) -> (~(hskp16)) -> (~(hskp10)) -> False). % 0.99/1.18 do 0 intro. intros zenon_H1d1 zenon_H228 zenon_H229 zenon_H227 zenon_H251 zenon_H20 zenon_H73 zenon_H189. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1d2 ]. % 0.99/1.18 apply (zenon_L249_); trivial. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H74 | zenon_intro zenon_H18a ]. % 0.99/1.18 exact (zenon_H73 zenon_H74). % 0.99/1.18 exact (zenon_H189 zenon_H18a). % 0.99/1.18 (* end of lemma zenon_L250_ *) % 0.99/1.18 assert (zenon_L251_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> (~(hskp10)) -> (~(hskp16)) -> (ndr1_0) -> (~(c0_1 (a1638))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (~(hskp11)) -> False). % 0.99/1.18 do 0 intro. intros zenon_H259 zenon_H189 zenon_H73 zenon_H20 zenon_H227 zenon_H229 zenon_H228 zenon_H1d1 zenon_H2d. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H109 | zenon_intro zenon_H25a ]. % 0.99/1.18 apply (zenon_L223_); trivial. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H251 | zenon_intro zenon_H2e ]. % 0.99/1.18 apply (zenon_L250_); trivial. % 0.99/1.18 exact (zenon_H2d zenon_H2e). % 0.99/1.18 (* end of lemma zenon_L251_ *) % 0.99/1.18 assert (zenon_L252_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (ndr1_0) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> False). % 0.99/1.18 do 0 intro. intros zenon_Hf0 zenon_H19f zenon_H19d zenon_H84 zenon_H83 zenon_H82 zenon_H20 zenon_H227 zenon_H228 zenon_H229 zenon_H1d1 zenon_H189 zenon_H2d zenon_H259. % 0.99/1.18 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 0.99/1.18 apply (zenon_L251_); trivial. % 0.99/1.18 apply (zenon_L114_); trivial. % 0.99/1.18 (* end of lemma zenon_L252_ *) % 0.99/1.18 assert (zenon_L253_ : (forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67)))))) -> (ndr1_0) -> (forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49)))))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> False). % 0.99/1.18 do 0 intro. intros zenon_H1c8 zenon_H20 zenon_Hfb zenon_H228 zenon_H229. % 0.99/1.18 generalize (zenon_H1c8 (a1638)). zenon_intro zenon_H252. % 0.99/1.18 apply (zenon_imply_s _ _ zenon_H252); [ zenon_intro zenon_H1f | zenon_intro zenon_H253 ]. % 0.99/1.18 exact (zenon_H1f zenon_H20). % 0.99/1.18 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H254 | zenon_intro zenon_H22c ]. % 0.99/1.18 generalize (zenon_Hfb (a1638)). zenon_intro zenon_H25b. % 0.99/1.18 apply (zenon_imply_s _ _ zenon_H25b); [ zenon_intro zenon_H1f | zenon_intro zenon_H25c ]. % 0.99/1.18 exact (zenon_H1f zenon_H20). % 0.99/1.18 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H22f | zenon_intro zenon_H257 ]. % 0.99/1.18 exact (zenon_H228 zenon_H22f). % 0.99/1.18 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H258 | zenon_intro zenon_H22e ]. % 0.99/1.18 exact (zenon_H258 zenon_H254). % 0.99/1.18 exact (zenon_H22e zenon_H229). % 0.99/1.18 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H22f | zenon_intro zenon_H22e ]. % 0.99/1.18 exact (zenon_H228 zenon_H22f). % 0.99/1.18 exact (zenon_H22e zenon_H229). % 0.99/1.18 (* end of lemma zenon_L253_ *) % 0.99/1.18 assert (zenon_L254_ : ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49)))))) -> (ndr1_0) -> (~(hskp16)) -> (~(hskp10)) -> False). % 0.99/1.18 do 0 intro. intros zenon_H1d1 zenon_H229 zenon_H228 zenon_Hfb zenon_H20 zenon_H73 zenon_H189. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1d2 ]. % 0.99/1.18 apply (zenon_L253_); trivial. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H74 | zenon_intro zenon_H18a ]. % 0.99/1.18 exact (zenon_H73 zenon_H74). % 0.99/1.18 exact (zenon_H189 zenon_H18a). % 0.99/1.18 (* end of lemma zenon_L254_ *) % 0.99/1.18 assert (zenon_L255_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/(hskp7))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2))))) -> (~(c0_1 (a1641))) -> (~(hskp10)) -> (~(hskp16)) -> (ndr1_0) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (~(hskp7)) -> False). % 0.99/1.18 do 0 intro. intros zenon_H187 zenon_H17b zenon_H17a zenon_Hd4 zenon_H179 zenon_H189 zenon_H73 zenon_H20 zenon_H228 zenon_H229 zenon_H1d1 zenon_H9. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H21 | zenon_intro zenon_H188 ]. % 0.99/1.18 apply (zenon_L94_); trivial. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_Hfb | zenon_intro zenon_Ha ]. % 0.99/1.18 apply (zenon_L254_); trivial. % 0.99/1.18 exact (zenon_H9 zenon_Ha). % 0.99/1.18 (* end of lemma zenon_L255_ *) % 0.99/1.18 assert (zenon_L256_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (c2_1 (a1667)) -> (c0_1 (a1667)) -> (~(c1_1 (a1667))) -> (ndr1_0) -> (~(hskp29)) -> False). % 0.99/1.18 do 0 intro. intros zenon_H232 zenon_H229 zenon_H228 zenon_H227 zenon_H7a zenon_H79 zenon_H78 zenon_H20 zenon_H230. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H109 | zenon_intro zenon_H234 ]. % 0.99/1.18 apply (zenon_L223_); trivial. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H77 | zenon_intro zenon_H231 ]. % 0.99/1.18 apply (zenon_L35_); trivial. % 0.99/1.18 exact (zenon_H230 zenon_H231). % 0.99/1.18 (* end of lemma zenon_L256_ *) % 0.99/1.18 assert (zenon_L257_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(hskp22)) -> (c2_1 (a1682)) -> (c1_1 (a1682)) -> (~(c3_1 (a1682))) -> (ndr1_0) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> (~(c1_1 (a1667))) -> (c0_1 (a1667)) -> (c2_1 (a1667)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> False). % 0.99/1.18 do 0 intro. intros zenon_H242 zenon_H211 zenon_H20f zenon_H46 zenon_H45 zenon_H44 zenon_H20 zenon_H227 zenon_H228 zenon_H229 zenon_H78 zenon_H79 zenon_H7a zenon_H232. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 0.99/1.18 apply (zenon_L256_); trivial. % 0.99/1.18 apply (zenon_L231_); trivial. % 0.99/1.18 (* end of lemma zenon_L257_ *) % 0.99/1.18 assert (zenon_L258_ : ((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp10)\/(hskp1))) -> (~(hskp10)) -> (~(hskp1)) -> False). % 0.99/1.18 do 0 intro. intros zenon_H21f zenon_H1bc zenon_H189 zenon_H5. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H20. zenon_intro zenon_H220. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H216. zenon_intro zenon_H221. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H217. zenon_intro zenon_H218. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1bd ]. % 0.99/1.18 apply (zenon_L194_); trivial. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H18a | zenon_intro zenon_H6 ]. % 0.99/1.18 exact (zenon_H189 zenon_H18a). % 0.99/1.18 exact (zenon_H5 zenon_H6). % 0.99/1.18 (* end of lemma zenon_L258_ *) % 0.99/1.18 assert (zenon_L259_ : ((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c2_1 (a1667)) -> (c0_1 (a1667)) -> (~(c1_1 (a1667))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> False). % 0.99/1.18 do 0 intro. intros zenon_H64 zenon_H222 zenon_H1bc zenon_H5 zenon_H189 zenon_H232 zenon_H7a zenon_H79 zenon_H78 zenon_H229 zenon_H228 zenon_H227 zenon_H211 zenon_H242. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H20. zenon_intro zenon_H66. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H45. zenon_intro zenon_H67. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 0.99/1.18 apply (zenon_L257_); trivial. % 0.99/1.18 apply (zenon_L258_); trivial. % 0.99/1.18 (* end of lemma zenon_L259_ *) % 0.99/1.18 assert (zenon_L260_ : ((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp10)\/(hskp1))) -> (~(hskp10)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> (~(hskp15)) -> (~(hskp1)) -> ((hskp15)\/((hskp19)\/(hskp1))) -> False). % 0.99/1.18 do 0 intro. intros zenon_Hf5 zenon_H68 zenon_H222 zenon_H1bc zenon_H189 zenon_H232 zenon_H229 zenon_H228 zenon_H227 zenon_H211 zenon_H242 zenon_H11 zenon_H5 zenon_H15. % 0.99/1.18 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_H20. zenon_intro zenon_Hf6. % 0.99/1.18 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H79. zenon_intro zenon_Hf7. % 0.99/1.18 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H7a. zenon_intro zenon_H78. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 0.99/1.18 apply (zenon_L11_); trivial. % 0.99/1.18 apply (zenon_L259_); trivial. % 0.99/1.18 (* end of lemma zenon_L260_ *) % 0.99/1.18 assert (zenon_L261_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp10)\/(hskp1))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (~(c0_1 (a1638))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> (~(hskp15)) -> (~(hskp1)) -> ((hskp15)\/((hskp19)\/(hskp1))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/(hskp7))) -> (~(hskp7)) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> (~(hskp10)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (ndr1_0) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> False). % 0.99/1.18 do 0 intro. intros zenon_Hf0 zenon_H68 zenon_H222 zenon_H1bc zenon_H232 zenon_H227 zenon_H211 zenon_H242 zenon_H11 zenon_H5 zenon_H15 zenon_H187 zenon_H9 zenon_H228 zenon_H229 zenon_H189 zenon_H1d1 zenon_H17b zenon_H17a zenon_H179 zenon_H20 zenon_H84 zenon_H83 zenon_H82 zenon_He8 zenon_Heb. % 0.99/1.18 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 0.99/1.18 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hee ]. % 0.99/1.18 apply (zenon_L255_); trivial. % 0.99/1.18 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_Hde | zenon_intro zenon_He9 ]. % 0.99/1.18 apply (zenon_L141_); trivial. % 0.99/1.18 exact (zenon_He8 zenon_He9). % 0.99/1.18 apply (zenon_L260_); trivial. % 0.99/1.18 (* end of lemma zenon_L261_ *) % 0.99/1.18 assert (zenon_L262_ : ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (c3_1 (a1647)) -> (c1_1 (a1647)) -> (c0_1 (a1647)) -> (ndr1_0) -> (~(hskp22)) -> False). % 0.99/1.18 do 0 intro. intros zenon_H211 zenon_H13e zenon_H13d zenon_H13c zenon_H1ae zenon_H238 zenon_H237 zenon_H236 zenon_H20 zenon_H20f. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H43 | zenon_intro zenon_H212 ]. % 0.99/1.18 apply (zenon_L186_); trivial. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H210 ]. % 0.99/1.18 apply (zenon_L230_); trivial. % 0.99/1.18 exact (zenon_H20f zenon_H210). % 0.99/1.18 (* end of lemma zenon_L262_ *) % 0.99/1.18 assert (zenon_L263_ : ((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp10)\/(hskp1))) -> (~(hskp22)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(hskp10)) -> (~(hskp1)) -> False). % 0.99/1.18 do 0 intro. intros zenon_H23f zenon_H1bc zenon_H20f zenon_H13c zenon_H13d zenon_H13e zenon_H211 zenon_H189 zenon_H5. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H20. zenon_intro zenon_H240. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H236. zenon_intro zenon_H241. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H237. zenon_intro zenon_H238. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1bd ]. % 0.99/1.18 apply (zenon_L262_); trivial. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H18a | zenon_intro zenon_H6 ]. % 0.99/1.18 exact (zenon_H189 zenon_H18a). % 0.99/1.18 exact (zenon_H5 zenon_H6). % 0.99/1.18 (* end of lemma zenon_L263_ *) % 0.99/1.18 assert (zenon_L264_ : ((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(hskp10)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp10)\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> False). % 0.99/1.18 do 0 intro. intros zenon_Hf5 zenon_H222 zenon_H232 zenon_H229 zenon_H228 zenon_H227 zenon_H211 zenon_H13e zenon_H13d zenon_H13c zenon_H189 zenon_H5 zenon_H1bc zenon_H242. % 0.99/1.18 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_H20. zenon_intro zenon_Hf6. % 0.99/1.18 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H79. zenon_intro zenon_Hf7. % 0.99/1.18 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H7a. zenon_intro zenon_H78. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 0.99/1.18 apply (zenon_L256_); trivial. % 0.99/1.18 apply (zenon_L263_); trivial. % 0.99/1.18 apply (zenon_L258_); trivial. % 0.99/1.18 (* end of lemma zenon_L264_ *) % 0.99/1.18 assert (zenon_L265_ : ((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(hskp10)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp10)\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> False). % 0.99/1.18 do 0 intro. intros zenon_Hef zenon_Hf0 zenon_H222 zenon_H232 zenon_H229 zenon_H228 zenon_H227 zenon_H211 zenon_H13e zenon_H13d zenon_H13c zenon_H189 zenon_H5 zenon_H1bc zenon_H242 zenon_H1 zenon_H75. % 0.99/1.18 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H20. zenon_intro zenon_Hf3. % 0.99/1.18 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H6c. zenon_intro zenon_Hf4. % 0.99/1.18 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H6a. zenon_intro zenon_H6b. % 0.99/1.18 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 0.99/1.18 apply (zenon_L34_); trivial. % 0.99/1.18 apply (zenon_L264_); trivial. % 0.99/1.18 (* end of lemma zenon_L265_ *) % 0.99/1.18 assert (zenon_L266_ : ((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/(hskp7))) -> ((hskp15)\/((hskp19)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(c0_1 (a1638))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp10)\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> False). % 0.99/1.18 do 0 intro. intros zenon_H155 zenon_H118 zenon_H1 zenon_H75 zenon_Heb zenon_He8 zenon_H82 zenon_H83 zenon_H84 zenon_H179 zenon_H17a zenon_H17b zenon_H1d1 zenon_H189 zenon_H229 zenon_H228 zenon_H9 zenon_H187 zenon_H15 zenon_H5 zenon_H242 zenon_H211 zenon_H227 zenon_H232 zenon_H1bc zenon_H222 zenon_H68 zenon_Hf0. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 0.99/1.18 apply (zenon_L261_); trivial. % 0.99/1.18 apply (zenon_L265_); trivial. % 0.99/1.18 (* end of lemma zenon_L266_ *) % 0.99/1.18 assert (zenon_L267_ : ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (ndr1_0) -> (~(hskp2)) -> False). % 0.99/1.18 do 0 intro. intros zenon_H19f zenon_H192 zenon_H191 zenon_H56 zenon_H84 zenon_H83 zenon_H82 zenon_H20 zenon_H19d. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H77 | zenon_intro zenon_H1a0 ]. % 0.99/1.18 apply (zenon_L111_); trivial. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H81 | zenon_intro zenon_H19e ]. % 0.99/1.18 apply (zenon_L36_); trivial. % 0.99/1.18 exact (zenon_H19d zenon_H19e). % 0.99/1.18 (* end of lemma zenon_L267_ *) % 0.99/1.18 assert (zenon_L268_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (ndr1_0) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (~(hskp24)) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> False). % 0.99/1.18 do 0 intro. intros zenon_H242 zenon_H259 zenon_H2d zenon_H19f zenon_H19d zenon_H84 zenon_H83 zenon_H82 zenon_H1ed zenon_H20 zenon_H227 zenon_H228 zenon_H229 zenon_H233 zenon_H1b zenon_H192 zenon_H191 zenon_H232. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 0.99/1.18 apply (zenon_L229_); trivial. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H20. zenon_intro zenon_H240. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H236. zenon_intro zenon_H241. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H237. zenon_intro zenon_H238. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H109 | zenon_intro zenon_H25a ]. % 0.99/1.18 apply (zenon_L223_); trivial. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H251 | zenon_intro zenon_H2e ]. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1ee ]. % 0.99/1.18 apply (zenon_L249_); trivial. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H56 | zenon_intro zenon_H1e9 ]. % 0.99/1.18 apply (zenon_L267_); trivial. % 0.99/1.18 apply (zenon_L230_); trivial. % 0.99/1.18 exact (zenon_H2d zenon_H2e). % 0.99/1.18 (* end of lemma zenon_L268_ *) % 0.99/1.18 assert (zenon_L269_ : ((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> False). % 0.99/1.18 do 0 intro. intros zenon_Hea zenon_H65 zenon_Heb zenon_He8 zenon_H179 zenon_H17a zenon_H17b zenon_H5a zenon_H232 zenon_H191 zenon_H192 zenon_H233 zenon_H229 zenon_H228 zenon_H227 zenon_H1ed zenon_H82 zenon_H83 zenon_H84 zenon_H19d zenon_H19f zenon_H2d zenon_H259 zenon_H242. % 0.99/1.18 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H20. zenon_intro zenon_Hec. % 0.99/1.18 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He0. zenon_intro zenon_Hed. % 0.99/1.18 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_He1. zenon_intro zenon_Hdf. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 0.99/1.18 apply (zenon_L268_); trivial. % 0.99/1.18 apply (zenon_L96_); trivial. % 0.99/1.18 (* end of lemma zenon_L269_ *) % 0.99/1.18 assert (zenon_L270_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(hskp7)) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> False). % 0.99/1.18 do 0 intro. intros zenon_Hf2 zenon_H65 zenon_Heb zenon_He8 zenon_H179 zenon_H17a zenon_H17b zenon_H5a zenon_H232 zenon_H191 zenon_H192 zenon_H233 zenon_H229 zenon_H228 zenon_H227 zenon_H1ed zenon_H82 zenon_H83 zenon_H84 zenon_H19d zenon_H19f zenon_H259 zenon_H242 zenon_Hd0 zenon_Hcf zenon_H170 zenon_H13 zenon_Hb2 zenon_H95 zenon_H9 zenon_H2d zenon_H172 zenon_H61 zenon_Hce. % 0.99/1.18 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 0.99/1.18 apply (zenon_L93_); trivial. % 0.99/1.18 apply (zenon_L269_); trivial. % 0.99/1.18 (* end of lemma zenon_L270_ *) % 0.99/1.18 assert (zenon_L271_ : ((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> False). % 0.99/1.18 do 0 intro. intros zenon_H64 zenon_H65 zenon_H61 zenon_H5a zenon_H5b zenon_H1 zenon_H41 zenon_H232 zenon_H191 zenon_H192 zenon_H233 zenon_H229 zenon_H228 zenon_H227 zenon_H1ed zenon_H82 zenon_H83 zenon_H84 zenon_H19d zenon_H19f zenon_H2d zenon_H259 zenon_H242. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H20. zenon_intro zenon_H66. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H45. zenon_intro zenon_H67. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 0.99/1.18 apply (zenon_L268_); trivial. % 0.99/1.18 apply (zenon_L29_); trivial. % 0.99/1.18 (* end of lemma zenon_L271_ *) % 0.99/1.18 assert (zenon_L272_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp11))) -> (~(hskp11)) -> (~(hskp7)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> False). % 0.99/1.18 do 0 intro. intros zenon_H68 zenon_H5b zenon_H1 zenon_H41 zenon_Hce zenon_H61 zenon_H172 zenon_H2d zenon_H9 zenon_H95 zenon_Hb2 zenon_H170 zenon_Hcf zenon_Hd0 zenon_H242 zenon_H259 zenon_H19f zenon_H19d zenon_H84 zenon_H83 zenon_H82 zenon_H1ed zenon_H227 zenon_H228 zenon_H229 zenon_H233 zenon_H192 zenon_H191 zenon_H232 zenon_H5a zenon_H17b zenon_H17a zenon_H179 zenon_He8 zenon_Heb zenon_H65 zenon_Hf2. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 0.99/1.18 apply (zenon_L270_); trivial. % 0.99/1.18 apply (zenon_L271_); trivial. % 0.99/1.18 (* end of lemma zenon_L272_ *) % 0.99/1.18 assert (zenon_L273_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(hskp22)) -> (c0_1 (a1647)) -> (c1_1 (a1647)) -> (c3_1 (a1647)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2))))) -> (~(c0_1 (a1641))) -> (ndr1_0) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> False). % 0.99/1.18 do 0 intro. intros zenon_H1c6 zenon_H20f zenon_H236 zenon_H237 zenon_H238 zenon_H13c zenon_H13d zenon_H13e zenon_H211 zenon_H17b zenon_H17a zenon_Hd4 zenon_H179 zenon_H20 zenon_H1a4 zenon_H191 zenon_H192. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1c7 ]. % 0.99/1.18 apply (zenon_L262_); trivial. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H21 | zenon_intro zenon_H1c3 ]. % 0.99/1.18 apply (zenon_L94_); trivial. % 0.99/1.18 apply (zenon_L191_); trivial. % 0.99/1.18 (* end of lemma zenon_L273_ *) % 0.99/1.18 assert (zenon_L274_ : ((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(hskp22)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c1_1 (a1689)) -> (c0_1 (a1689)) -> (~(c2_1 (a1689))) -> (~(hskp4)) -> False). % 0.99/1.18 do 0 intro. intros zenon_H23f zenon_Heb zenon_H192 zenon_H191 zenon_H1a4 zenon_H179 zenon_H17a zenon_H17b zenon_H211 zenon_H13e zenon_H13d zenon_H13c zenon_H20f zenon_H1c6 zenon_He1 zenon_He0 zenon_Hdf zenon_He8. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H20. zenon_intro zenon_H240. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H236. zenon_intro zenon_H241. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H237. zenon_intro zenon_H238. % 0.99/1.18 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hee ]. % 0.99/1.18 apply (zenon_L273_); trivial. % 0.99/1.18 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_Hde | zenon_intro zenon_He9 ]. % 0.99/1.18 apply (zenon_L53_); trivial. % 0.99/1.18 exact (zenon_He8 zenon_He9). % 0.99/1.18 (* end of lemma zenon_L274_ *) % 0.99/1.18 assert (zenon_L275_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c3_1 (a1697))) -> (~(c2_1 (a1697))) -> (~(c0_1 (a1697))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2))))) -> (~(c0_1 (a1641))) -> (ndr1_0) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> False). % 0.99/1.18 do 0 intro. intros zenon_H1c6 zenon_H218 zenon_H217 zenon_H216 zenon_H17b zenon_H17a zenon_Hd4 zenon_H179 zenon_H20 zenon_H1a4 zenon_H191 zenon_H192. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1c7 ]. % 0.99/1.18 apply (zenon_L194_); trivial. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H21 | zenon_intro zenon_H1c3 ]. % 0.99/1.18 apply (zenon_L94_); trivial. % 0.99/1.18 apply (zenon_L191_); trivial. % 0.99/1.18 (* end of lemma zenon_L275_ *) % 0.99/1.18 assert (zenon_L276_ : ((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c1_1 (a1689)) -> (c0_1 (a1689)) -> (~(c2_1 (a1689))) -> (~(hskp4)) -> False). % 0.99/1.18 do 0 intro. intros zenon_H21f zenon_Heb zenon_H192 zenon_H191 zenon_H1a4 zenon_H179 zenon_H17a zenon_H17b zenon_H1c6 zenon_He1 zenon_He0 zenon_Hdf zenon_He8. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H20. zenon_intro zenon_H220. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H216. zenon_intro zenon_H221. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H217. zenon_intro zenon_H218. % 0.99/1.18 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hee ]. % 0.99/1.18 apply (zenon_L275_); trivial. % 0.99/1.18 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_Hde | zenon_intro zenon_He9 ]. % 0.99/1.18 apply (zenon_L53_); trivial. % 0.99/1.18 exact (zenon_He8 zenon_He9). % 0.99/1.18 (* end of lemma zenon_L276_ *) % 0.99/1.18 assert (zenon_L277_ : ((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> (~(c3_1 (a1648))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> False). % 0.99/1.18 do 0 intro. intros zenon_Hea zenon_H222 zenon_H242 zenon_Heb zenon_He8 zenon_H211 zenon_H13e zenon_H13d zenon_H13c zenon_H179 zenon_H17a zenon_H17b zenon_H1a4 zenon_H1c6 zenon_H227 zenon_H228 zenon_H229 zenon_H233 zenon_H192 zenon_H191 zenon_H232 zenon_H5a zenon_H65. % 0.99/1.18 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H20. zenon_intro zenon_Hec. % 0.99/1.18 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He0. zenon_intro zenon_Hed. % 0.99/1.18 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_He1. zenon_intro zenon_Hdf. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 0.99/1.18 apply (zenon_L229_); trivial. % 0.99/1.18 apply (zenon_L274_); trivial. % 0.99/1.18 apply (zenon_L96_); trivial. % 0.99/1.18 apply (zenon_L276_); trivial. % 0.99/1.18 (* end of lemma zenon_L277_ *) % 0.99/1.18 assert (zenon_L278_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> (~(c3_1 (a1648))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(hskp12)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> False). % 0.99/1.18 do 0 intro. intros zenon_Hf2 zenon_H222 zenon_H242 zenon_Heb zenon_He8 zenon_H211 zenon_H13e zenon_H13d zenon_H13c zenon_H179 zenon_H17a zenon_H17b zenon_H1a4 zenon_H1c6 zenon_H233 zenon_H192 zenon_H191 zenon_H232 zenon_H5a zenon_H65 zenon_Hd0 zenon_H95 zenon_H227 zenon_H228 zenon_H229 zenon_Hb2 zenon_H17 zenon_H112 zenon_Hcf zenon_Hce. % 0.99/1.18 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 0.99/1.18 apply (zenon_L226_); trivial. % 0.99/1.18 apply (zenon_L277_); trivial. % 0.99/1.18 (* end of lemma zenon_L278_ *) % 0.99/1.18 assert (zenon_L279_ : ((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (c2_1 (a1646)) -> (c1_1 (a1646)) -> (~(c0_1 (a1697))) -> (~(c2_1 (a1697))) -> (~(c3_1 (a1697))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(hskp4)) -> False). % 0.99/1.18 do 0 intro. intros zenon_H23f zenon_Heb zenon_H179 zenon_H17a zenon_H17b zenon_H192 zenon_H191 zenon_H1a4 zenon_H1ed zenon_H84 zenon_H83 zenon_H82 zenon_H4f zenon_H4e zenon_H216 zenon_H217 zenon_H218 zenon_H1c6 zenon_He8. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H20. zenon_intro zenon_H240. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H236. zenon_intro zenon_H241. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H237. zenon_intro zenon_H238. % 0.99/1.18 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hee ]. % 0.99/1.18 apply (zenon_L275_); trivial. % 0.99/1.18 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_Hde | zenon_intro zenon_He9 ]. % 0.99/1.18 apply (zenon_L241_); trivial. % 0.99/1.18 exact (zenon_He8 zenon_He9). % 0.99/1.18 (* end of lemma zenon_L279_ *) % 0.99/1.18 assert (zenon_L280_ : ((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (~(c0_1 (a1697))) -> (~(c2_1 (a1697))) -> (~(c3_1 (a1697))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> (~(c3_1 (a1648))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (~(hskp24)) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> False). % 0.99/1.18 do 0 intro. intros zenon_H59 zenon_H242 zenon_Heb zenon_He8 zenon_H1ed zenon_H84 zenon_H83 zenon_H82 zenon_H216 zenon_H217 zenon_H218 zenon_H179 zenon_H17a zenon_H17b zenon_H1a4 zenon_H1c6 zenon_H227 zenon_H228 zenon_H229 zenon_H233 zenon_H1b zenon_H192 zenon_H191 zenon_H232. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 0.99/1.18 apply (zenon_L229_); trivial. % 0.99/1.18 apply (zenon_L279_); trivial. % 0.99/1.18 (* end of lemma zenon_L280_ *) % 0.99/1.18 assert (zenon_L281_ : ((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c3_1 (a1682))) -> (c1_1 (a1682)) -> (c2_1 (a1682)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp20)) -> ((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/((hskp20)\/(hskp28))) -> (c2_1 (a1675)) -> (~(c1_1 (a1675))) -> (~(c0_1 (a1675))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c3_1 (a1648))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> False). % 0.99/1.18 do 0 intro. intros zenon_H21f zenon_H65 zenon_H5a zenon_H44 zenon_H45 zenon_H46 zenon_H5b zenon_H1 zenon_H41 zenon_H242 zenon_H24f zenon_H91 zenon_H24d zenon_H9a zenon_H99 zenon_H98 zenon_H227 zenon_H228 zenon_H229 zenon_H1ff zenon_H192 zenon_H191 zenon_H12a zenon_H129 zenon_H128 zenon_H232 zenon_H233 zenon_H1c6 zenon_H1a4 zenon_H17b zenon_H17a zenon_H179 zenon_H82 zenon_H83 zenon_H84 zenon_H1ed zenon_He8 zenon_Heb zenon_H61. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H20. zenon_intro zenon_H220. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H216. zenon_intro zenon_H221. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H217. zenon_intro zenon_H218. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 0.99/1.18 apply (zenon_L239_); trivial. % 0.99/1.18 apply (zenon_L280_); trivial. % 0.99/1.18 apply (zenon_L29_); trivial. % 0.99/1.18 (* end of lemma zenon_L281_ *) % 0.99/1.18 assert (zenon_L282_ : ((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((hskp25)\/((hskp17)\/(hskp1))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> (~(hskp1)) -> ((hskp15)\/((hskp19)\/(hskp1))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/((hskp20)\/(hskp28))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c3_1 (a1648))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> False). % 0.99/1.18 do 0 intro. intros zenon_H155 zenon_H15a zenon_H118 zenon_H1ab zenon_H68 zenon_H34 zenon_H243 zenon_H41 zenon_H1 zenon_H5b zenon_H61 zenon_H5 zenon_H15 zenon_H24f zenon_H24d zenon_H1ff zenon_H82 zenon_H83 zenon_H84 zenon_H1ed zenon_Hf1 zenon_Hce zenon_Hcf zenon_H112 zenon_Hb2 zenon_H229 zenon_H228 zenon_H227 zenon_H95 zenon_Hd0 zenon_H65 zenon_H5a zenon_H232 zenon_H191 zenon_H192 zenon_H233 zenon_H1c6 zenon_H1a4 zenon_H17b zenon_H17a zenon_H179 zenon_H211 zenon_He8 zenon_Heb zenon_H242 zenon_H222 zenon_Hf2. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 0.99/1.18 apply (zenon_L278_); trivial. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 0.99/1.18 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 0.99/1.18 apply (zenon_L235_); trivial. % 0.99/1.18 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_H20. zenon_intro zenon_Hf9. % 0.99/1.18 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H9a. zenon_intro zenon_Hfa. % 0.99/1.18 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_H98. zenon_intro zenon_H99. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 0.99/1.18 apply (zenon_L11_); trivial. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H20. zenon_intro zenon_H66. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H45. zenon_intro zenon_H67. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.99/1.18 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 0.99/1.18 apply (zenon_L233_); trivial. % 0.99/1.18 apply (zenon_L281_); trivial. % 0.99/1.18 apply (zenon_L277_); trivial. % 0.99/1.18 apply (zenon_L136_); trivial. % 0.99/1.18 (* end of lemma zenon_L282_ *) % 0.99/1.18 assert (zenon_L283_ : ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> (forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))) -> (ndr1_0) -> (~(hskp16)) -> (~(hskp0)) -> False). % 0.99/1.18 do 0 intro. intros zenon_H75 zenon_H161 zenon_H163 zenon_H162 zenon_H127 zenon_H20 zenon_H73 zenon_H1. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H69 | zenon_intro zenon_H76 ]. % 0.99/1.18 apply (zenon_L150_); trivial. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H74 | zenon_intro zenon_H2 ]. % 0.99/1.18 exact (zenon_H73 zenon_H74). % 0.99/1.18 exact (zenon_H1 zenon_H2). % 0.99/1.18 (* end of lemma zenon_L283_ *) % 0.99/1.18 assert (zenon_L284_ : ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2))))) -> (~(hskp22)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (c3_1 (a1640)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> (ndr1_0) -> (~(hskp16)) -> (~(hskp0)) -> False). % 0.99/1.18 do 0 intro. intros zenon_H1ab zenon_H17a zenon_H179 zenon_Hd4 zenon_H20f zenon_H83 zenon_H82 zenon_H84 zenon_H1ae zenon_H13c zenon_H13d zenon_H13e zenon_H211 zenon_H75 zenon_H161 zenon_H163 zenon_H162 zenon_H20 zenon_H73 zenon_H1. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H13b | zenon_intro zenon_H1ac ]. % 0.99/1.18 apply (zenon_L128_); trivial. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H69 | zenon_intro zenon_H127 ]. % 0.99/1.18 apply (zenon_L189_); trivial. % 0.99/1.18 apply (zenon_L283_); trivial. % 0.99/1.18 (* end of lemma zenon_L284_ *) % 0.99/1.18 assert (zenon_L285_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp10)\/(hskp1))) -> (~(hskp22)) -> (ndr1_0) -> (c0_1 (a1640)) -> (forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))) -> (~(c2_1 (a1640))) -> (c3_1 (a1640)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(hskp10)) -> (~(hskp1)) -> False). % 0.99/1.18 do 0 intro. intros zenon_H1bc zenon_H20f zenon_H20 zenon_H83 zenon_H69 zenon_H82 zenon_H84 zenon_H13c zenon_H13d zenon_H13e zenon_H211 zenon_H189 zenon_H5. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1bd ]. % 0.99/1.18 apply (zenon_L189_); trivial. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H18a | zenon_intro zenon_H6 ]. % 0.99/1.18 exact (zenon_H189 zenon_H18a). % 0.99/1.18 exact (zenon_H5 zenon_H6). % 0.99/1.18 (* end of lemma zenon_L285_ *) % 0.99/1.18 assert (zenon_L286_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp29))) -> (~(hskp0)) -> (~(hskp16)) -> (~(c3_1 (a1642))) -> (c0_1 (a1642)) -> (~(c2_1 (a1642))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2))))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (~(hskp1)) -> (~(hskp10)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (c3_1 (a1640)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (ndr1_0) -> (~(hskp22)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp10)\/(hskp1))) -> (~(hskp29)) -> False). % 0.99/1.18 do 0 intro. intros zenon_H25d zenon_H1 zenon_H73 zenon_H162 zenon_H163 zenon_H161 zenon_H75 zenon_Hd4 zenon_H179 zenon_H17a zenon_H1ab zenon_H5 zenon_H189 zenon_H211 zenon_H13e zenon_H13d zenon_H13c zenon_H84 zenon_H82 zenon_H83 zenon_H20 zenon_H20f zenon_H1bc zenon_H230. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H1ae | zenon_intro zenon_H25e ]. % 0.99/1.18 apply (zenon_L284_); trivial. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H69 | zenon_intro zenon_H231 ]. % 0.99/1.18 apply (zenon_L285_); trivial. % 0.99/1.18 exact (zenon_H230 zenon_H231). % 0.99/1.18 (* end of lemma zenon_L286_ *) % 0.99/1.18 assert (zenon_L287_ : ((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (~(c3_1 (a1642))) -> (c0_1 (a1642)) -> (~(c2_1 (a1642))) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (c3_1 (a1640)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp10)\/(hskp1))) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> (~(hskp1)) -> ((hskp15)\/((hskp19)\/(hskp1))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> False). % 0.99/1.18 do 0 intro. intros zenon_H155 zenon_H118 zenon_H68 zenon_H222 zenon_Heb zenon_He8 zenon_H1d1 zenon_H1ab zenon_H162 zenon_H163 zenon_H161 zenon_H1 zenon_H75 zenon_H83 zenon_H82 zenon_H84 zenon_H211 zenon_H17a zenon_H179 zenon_H1bc zenon_H189 zenon_H25d zenon_H242 zenon_H5 zenon_H15 zenon_H227 zenon_H228 zenon_H229 zenon_H232 zenon_Hf0. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 0.99/1.18 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 0.99/1.18 apply (zenon_L11_); trivial. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H20. zenon_intro zenon_H66. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H45. zenon_intro zenon_H67. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 0.99/1.18 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hee ]. % 0.99/1.18 apply (zenon_L286_); trivial. % 0.99/1.18 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_Hde | zenon_intro zenon_He9 ]. % 0.99/1.18 apply (zenon_L141_); trivial. % 0.99/1.18 exact (zenon_He8 zenon_He9). % 0.99/1.18 apply (zenon_L231_); trivial. % 0.99/1.18 apply (zenon_L258_); trivial. % 0.99/1.18 apply (zenon_L264_); trivial. % 0.99/1.18 apply (zenon_L265_); trivial. % 0.99/1.18 (* end of lemma zenon_L287_ *) % 0.99/1.18 assert (zenon_L288_ : ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> (~(c0_1 (a1638))) -> (forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38)))))) -> (~(hskp9)) -> (~(hskp2)) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> (~(c3_1 (a1648))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp2)\/(hskp9))) -> (ndr1_0) -> (c0_1 (a1647)) -> (c1_1 (a1647)) -> (c3_1 (a1647)) -> False). % 0.99/1.18 do 0 intro. intros zenon_H1ed zenon_H228 zenon_H229 zenon_H227 zenon_H251 zenon_Hd zenon_H19d zenon_H191 zenon_H192 zenon_H1a4 zenon_H25f zenon_H20 zenon_H236 zenon_H237 zenon_H238. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1ee ]. % 0.99/1.18 apply (zenon_L249_); trivial. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H56 | zenon_intro zenon_H1e9 ]. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H261 | zenon_intro zenon_H260 ]. % 0.99/1.18 generalize (zenon_H261 (a1648)). zenon_intro zenon_H262. % 0.99/1.18 apply (zenon_imply_s _ _ zenon_H262); [ zenon_intro zenon_H1f | zenon_intro zenon_H263 ]. % 0.99/1.18 exact (zenon_H1f zenon_H20). % 0.99/1.18 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H19c | zenon_intro zenon_H264 ]. % 0.99/1.18 generalize (zenon_H56 (a1648)). zenon_intro zenon_H193. % 0.99/1.18 apply (zenon_imply_s _ _ zenon_H193); [ zenon_intro zenon_H1f | zenon_intro zenon_H194 ]. % 0.99/1.18 exact (zenon_H1f zenon_H20). % 0.99/1.18 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H196 | zenon_intro zenon_H195 ]. % 0.99/1.18 exact (zenon_H196 zenon_H191). % 0.99/1.18 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H198 | zenon_intro zenon_H197 ]. % 0.99/1.18 exact (zenon_H198 zenon_H19c). % 0.99/1.18 exact (zenon_H197 zenon_H192). % 0.99/1.18 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H215 | zenon_intro zenon_H197 ]. % 0.99/1.18 exact (zenon_H1a4 zenon_H215). % 0.99/1.18 exact (zenon_H197 zenon_H192). % 0.99/1.18 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H19e | zenon_intro zenon_He ]. % 0.99/1.18 exact (zenon_H19d zenon_H19e). % 0.99/1.18 exact (zenon_Hd zenon_He). % 0.99/1.18 apply (zenon_L230_); trivial. % 0.99/1.18 (* end of lemma zenon_L288_ *) % 0.99/1.18 assert (zenon_L289_ : ((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp2)\/(hskp9))) -> (~(c3_1 (a1648))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(hskp2)) -> (~(hskp9)) -> (~(c0_1 (a1638))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp11)) -> False). % 0.99/1.18 do 0 intro. intros zenon_H23f zenon_H259 zenon_H25f zenon_H1a4 zenon_H192 zenon_H191 zenon_H19d zenon_Hd zenon_H227 zenon_H229 zenon_H228 zenon_H1ed zenon_H2d. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H20. zenon_intro zenon_H240. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H236. zenon_intro zenon_H241. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H237. zenon_intro zenon_H238. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H109 | zenon_intro zenon_H25a ]. % 0.99/1.18 apply (zenon_L223_); trivial. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H251 | zenon_intro zenon_H2e ]. % 0.99/1.18 apply (zenon_L288_); trivial. % 0.99/1.18 exact (zenon_H2d zenon_H2e). % 0.99/1.18 (* end of lemma zenon_L289_ *) % 0.99/1.18 assert (zenon_L290_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp2)\/(hskp9))) -> (~(hskp9)) -> (~(hskp2)) -> (~(c3_1 (a1648))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (ndr1_0) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (~(hskp24)) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> False). % 0.99/1.18 do 0 intro. intros zenon_H242 zenon_H259 zenon_H2d zenon_H25f zenon_Hd zenon_H19d zenon_H1a4 zenon_H1ed zenon_H20 zenon_H227 zenon_H228 zenon_H229 zenon_H233 zenon_H1b zenon_H192 zenon_H191 zenon_H232. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 0.99/1.18 apply (zenon_L229_); trivial. % 0.99/1.18 apply (zenon_L289_); trivial. % 0.99/1.18 (* end of lemma zenon_L290_ *) % 0.99/1.18 assert (zenon_L291_ : ((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(c3_1 (a1648))) -> (~(hskp2)) -> (~(hskp9)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp2)\/(hskp9))) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> False). % 0.99/1.18 do 0 intro. intros zenon_Hea zenon_H65 zenon_Heb zenon_He8 zenon_H179 zenon_H17a zenon_H17b zenon_H5a zenon_H232 zenon_H191 zenon_H192 zenon_H233 zenon_H229 zenon_H228 zenon_H227 zenon_H1ed zenon_H1a4 zenon_H19d zenon_Hd zenon_H25f zenon_H2d zenon_H259 zenon_H242. % 0.99/1.18 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H20. zenon_intro zenon_Hec. % 0.99/1.18 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He0. zenon_intro zenon_Hed. % 0.99/1.18 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_He1. zenon_intro zenon_Hdf. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 0.99/1.18 apply (zenon_L290_); trivial. % 0.99/1.18 apply (zenon_L96_); trivial. % 0.99/1.18 (* end of lemma zenon_L291_ *) % 0.99/1.18 assert (zenon_L292_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(c3_1 (a1648))) -> (~(hskp2)) -> (~(hskp9)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp2)\/(hskp9))) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(hskp12)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> False). % 0.99/1.18 do 0 intro. intros zenon_Hf2 zenon_H65 zenon_Heb zenon_He8 zenon_H179 zenon_H17a zenon_H17b zenon_H5a zenon_H232 zenon_H191 zenon_H192 zenon_H233 zenon_H1ed zenon_H1a4 zenon_H19d zenon_Hd zenon_H25f zenon_H2d zenon_H259 zenon_H242 zenon_Hd0 zenon_H95 zenon_H227 zenon_H228 zenon_H229 zenon_Hb2 zenon_H17 zenon_H112 zenon_Hcf zenon_Hce. % 0.99/1.18 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 0.99/1.18 apply (zenon_L226_); trivial. % 0.99/1.18 apply (zenon_L291_); trivial. % 0.99/1.18 (* end of lemma zenon_L292_ *) % 0.99/1.18 assert (zenon_L293_ : ((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(c3_1 (a1648))) -> (~(hskp2)) -> (~(hskp9)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp2)\/(hskp9))) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(hskp18)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> False). % 0.99/1.18 do 0 intro. intros zenon_H64 zenon_Hf2 zenon_H65 zenon_Heb zenon_He8 zenon_H179 zenon_H17a zenon_H17b zenon_H5a zenon_H232 zenon_H191 zenon_H192 zenon_H233 zenon_H229 zenon_H228 zenon_H227 zenon_H1ed zenon_H1a4 zenon_H19d zenon_Hd zenon_H25f zenon_H2d zenon_H259 zenon_H242 zenon_Hd0 zenon_H95 zenon_Hb2 zenon_H119 zenon_H11b zenon_Hcf zenon_Hce. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H20. zenon_intro zenon_H66. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H45. zenon_intro zenon_H67. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.99/1.18 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 0.99/1.18 apply (zenon_L66_); trivial. % 0.99/1.18 apply (zenon_L291_); trivial. % 0.99/1.18 (* end of lemma zenon_L293_ *) % 0.99/1.18 assert (zenon_L294_ : ((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (~(hskp25)) -> (~(hskp28)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (~(hskp29)) -> False). % 0.99/1.18 do 0 intro. intros zenon_Hd1 zenon_H232 zenon_H229 zenon_H228 zenon_H227 zenon_H19 zenon_H3f zenon_H265 zenon_H230. % 0.99/1.18 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H20. zenon_intro zenon_Hd2. % 0.99/1.18 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Ha1. zenon_intro zenon_Hd3. % 0.99/1.18 apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_Ha3. zenon_intro zenon_Ha4. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H109 | zenon_intro zenon_H234 ]. % 0.99/1.18 apply (zenon_L223_); trivial. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H77 | zenon_intro zenon_H231 ]. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H174 | zenon_intro zenon_H266 ]. % 0.99/1.18 generalize (zenon_H174 (a1712)). zenon_intro zenon_H267. % 0.99/1.18 apply (zenon_imply_s _ _ zenon_H267); [ zenon_intro zenon_H1f | zenon_intro zenon_H268 ]. % 0.99/1.18 exact (zenon_H1f zenon_H20). % 0.99/1.18 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_Haa | zenon_intro zenon_Had ]. % 0.99/1.18 generalize (zenon_H77 (a1712)). zenon_intro zenon_H269. % 0.99/1.18 apply (zenon_imply_s _ _ zenon_H269); [ zenon_intro zenon_H1f | zenon_intro zenon_H26a ]. % 0.99/1.18 exact (zenon_H1f zenon_H20). % 0.99/1.18 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_Hae | zenon_intro zenon_H26b ]. % 0.99/1.18 exact (zenon_Haa zenon_Hae). % 0.99/1.18 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha9 ]. % 0.99/1.18 exact (zenon_Ha8 zenon_Ha1). % 0.99/1.18 exact (zenon_Ha9 zenon_Ha3). % 0.99/1.18 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Haf ]. % 0.99/1.18 exact (zenon_Ha9 zenon_Ha3). % 0.99/1.18 exact (zenon_Haf zenon_Ha4). % 0.99/1.18 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H40 | zenon_intro zenon_H1a ]. % 0.99/1.18 exact (zenon_H3f zenon_H40). % 0.99/1.18 exact (zenon_H19 zenon_H1a). % 0.99/1.18 exact (zenon_H230 zenon_H231). % 0.99/1.18 (* end of lemma zenon_L294_ *) % 0.99/1.18 assert (zenon_L295_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (~(hskp29)) -> (~(hskp28)) -> (~(hskp25)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (~(hskp27)) -> (~(hskp20)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> False). % 0.99/1.18 do 0 intro. intros zenon_Hcf zenon_H232 zenon_H230 zenon_H3f zenon_H19 zenon_H265 zenon_H229 zenon_H228 zenon_H227 zenon_H8f zenon_H91 zenon_H95. % 0.99/1.18 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H93 | zenon_intro zenon_Hd1 ]. % 0.99/1.18 apply (zenon_L42_); trivial. % 0.99/1.18 apply (zenon_L294_); trivial. % 0.99/1.18 (* end of lemma zenon_L295_ *) % 0.99/1.18 assert (zenon_L296_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c2_1 (a1675)) -> (~(c1_1 (a1675))) -> (~(c0_1 (a1675))) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> (forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))) -> ((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/((hskp20)\/(hskp28))) -> (c3_1 (a1647)) -> (c0_1 (a1647)) -> (ndr1_0) -> (~(hskp20)) -> (~(hskp28)) -> False). % 0.99/1.18 do 0 intro. intros zenon_H24f zenon_H9a zenon_H99 zenon_H98 zenon_H161 zenon_H163 zenon_H162 zenon_H69 zenon_H24d zenon_H238 zenon_H236 zenon_H20 zenon_H91 zenon_H3f. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H97 | zenon_intro zenon_H250 ]. % 0.99/1.18 apply (zenon_L43_); trivial. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H127 | zenon_intro zenon_H244 ]. % 0.99/1.18 apply (zenon_L150_); trivial. % 0.99/1.18 apply (zenon_L238_); trivial. % 0.99/1.18 (* end of lemma zenon_L296_ *) % 0.99/1.18 assert (zenon_L297_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(hskp21)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(c3_1 (a1642))) -> (c0_1 (a1642)) -> (~(c2_1 (a1642))) -> ((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/((hskp20)\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c2_1 (a1675)) -> (~(c1_1 (a1675))) -> (~(c0_1 (a1675))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(hskp20)) -> (~(hskp27)) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (~(hskp25)) -> (~(hskp28)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> False). % 0.99/1.18 do 0 intro. intros zenon_H242 zenon_Hca zenon_Hb0 zenon_Hb2 zenon_H162 zenon_H163 zenon_H161 zenon_H24d zenon_H24f zenon_H9a zenon_H99 zenon_H98 zenon_H95 zenon_H91 zenon_H8f zenon_H227 zenon_H228 zenon_H229 zenon_H265 zenon_H19 zenon_H3f zenon_H232 zenon_Hcf. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 0.99/1.18 apply (zenon_L295_); trivial. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H20. zenon_intro zenon_H240. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H236. zenon_intro zenon_H241. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H237. zenon_intro zenon_H238. % 0.99/1.18 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H93 | zenon_intro zenon_Hd1 ]. % 0.99/1.18 apply (zenon_L42_); trivial. % 0.99/1.18 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H20. zenon_intro zenon_Hd2. % 0.99/1.18 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Ha1. zenon_intro zenon_Hd3. % 0.99/1.18 apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_Ha3. zenon_intro zenon_Ha4. % 0.99/1.18 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H97 | zenon_intro zenon_Hcd ]. % 0.99/1.18 apply (zenon_L43_); trivial. % 0.99/1.18 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H69 | zenon_intro zenon_Ha2 ]. % 0.99/1.18 apply (zenon_L296_); trivial. % 0.99/1.18 apply (zenon_L46_); trivial. % 0.99/1.18 (* end of lemma zenon_L297_ *) % 0.99/1.18 assert (zenon_L298_ : ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(hskp21)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(c3_1 (a1642))) -> (c0_1 (a1642)) -> (~(c2_1 (a1642))) -> ((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/((hskp20)\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c2_1 (a1675)) -> (~(c1_1 (a1675))) -> (~(c0_1 (a1675))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(hskp20)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c3_1 (a1648))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c2_1 (a1682)) -> (c1_1 (a1682)) -> (~(c3_1 (a1682))) -> (ndr1_0) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> False). % 0.99/1.18 do 0 intro. intros zenon_H222 zenon_Hd0 zenon_Hca zenon_Hb0 zenon_Hb2 zenon_H162 zenon_H163 zenon_H161 zenon_H24d zenon_H24f zenon_H9a zenon_H99 zenon_H98 zenon_H95 zenon_H91 zenon_H265 zenon_Hcf zenon_H1c6 zenon_H1a4 zenon_H17b zenon_H17a zenon_H179 zenon_H82 zenon_H83 zenon_H84 zenon_H1ed zenon_He8 zenon_Heb zenon_H34 zenon_H242 zenon_H211 zenon_H46 zenon_H45 zenon_H44 zenon_H20 zenon_H227 zenon_H228 zenon_H229 zenon_H233 zenon_H192 zenon_H191 zenon_H232 zenon_H41 zenon_H1 zenon_H5b zenon_H5a zenon_H61 zenon_H65. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 0.99/1.18 apply (zenon_L233_); trivial. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H20. zenon_intro zenon_H220. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H216. zenon_intro zenon_H221. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H217. zenon_intro zenon_H218. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 0.99/1.18 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H8f | zenon_intro zenon_Hbd ]. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 0.99/1.18 apply (zenon_L297_); trivial. % 0.99/1.18 apply (zenon_L280_); trivial. % 0.99/1.18 apply (zenon_L48_); trivial. % 0.99/1.18 apply (zenon_L195_); trivial. % 0.99/1.18 apply (zenon_L29_); trivial. % 0.99/1.18 (* end of lemma zenon_L298_ *) % 0.99/1.18 assert (zenon_L299_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (c3_1 (a1691)) -> (c2_1 (a1691)) -> (~(c1_1 (a1691))) -> (~(c3_1 (a1642))) -> (c0_1 (a1642)) -> (~(c2_1 (a1642))) -> ((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/((hskp20)\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c2_1 (a1675)) -> (~(c1_1 (a1675))) -> (~(c0_1 (a1675))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(hskp20)) -> (~(hskp27)) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (~(hskp25)) -> (~(hskp28)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> False). % 0.99/1.18 do 0 intro. intros zenon_H242 zenon_Hca zenon_Hc2 zenon_Hc1 zenon_Hc0 zenon_H162 zenon_H163 zenon_H161 zenon_H24d zenon_H24f zenon_H9a zenon_H99 zenon_H98 zenon_H95 zenon_H91 zenon_H8f zenon_H227 zenon_H228 zenon_H229 zenon_H265 zenon_H19 zenon_H3f zenon_H232 zenon_Hcf. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 0.99/1.18 apply (zenon_L295_); trivial. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H20. zenon_intro zenon_H240. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H236. zenon_intro zenon_H241. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H237. zenon_intro zenon_H238. % 0.99/1.18 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H97 | zenon_intro zenon_Hcd ]. % 0.99/1.18 apply (zenon_L43_); trivial. % 0.99/1.18 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H69 | zenon_intro zenon_Ha2 ]. % 0.99/1.18 apply (zenon_L296_); trivial. % 0.99/1.18 apply (zenon_L49_); trivial. % 0.99/1.18 (* end of lemma zenon_L299_ *) % 0.99/1.18 assert (zenon_L300_ : ((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp9))) -> (~(hskp9)) -> (c2_1 (a1682)) -> (c1_1 (a1682)) -> (~(c3_1 (a1682))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (c3_1 (a1691)) -> (c2_1 (a1691)) -> (~(c1_1 (a1691))) -> (~(c3_1 (a1642))) -> (c0_1 (a1642)) -> (~(c2_1 (a1642))) -> ((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/((hskp20)\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c2_1 (a1675)) -> (~(c1_1 (a1675))) -> (~(c0_1 (a1675))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(hskp20)) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c3_1 (a1648))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> False). % 0.99/1.18 do 0 intro. intros zenon_H21f zenon_H65 zenon_H5a zenon_H5b zenon_H1 zenon_H41 zenon_Hd0 zenon_H16a zenon_Hd zenon_H46 zenon_H45 zenon_H44 zenon_H242 zenon_Hca zenon_Hc2 zenon_Hc1 zenon_Hc0 zenon_H162 zenon_H163 zenon_H161 zenon_H24d zenon_H24f zenon_H9a zenon_H99 zenon_H98 zenon_H95 zenon_H91 zenon_H227 zenon_H228 zenon_H229 zenon_H265 zenon_H232 zenon_Hcf zenon_H191 zenon_H192 zenon_H233 zenon_H1c6 zenon_H1a4 zenon_H17b zenon_H17a zenon_H179 zenon_H82 zenon_H83 zenon_H84 zenon_H1ed zenon_He8 zenon_Heb zenon_H61 zenon_H34. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H20. zenon_intro zenon_H220. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H216. zenon_intro zenon_H221. % 0.99/1.18 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H217. zenon_intro zenon_H218. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 0.99/1.18 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H8f | zenon_intro zenon_Hbd ]. % 0.99/1.18 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 0.99/1.18 apply (zenon_L299_); trivial. % 0.99/1.18 apply (zenon_L280_); trivial. % 0.99/1.18 apply (zenon_L82_); trivial. % 0.99/1.18 apply (zenon_L195_); trivial. % 0.99/1.18 apply (zenon_L29_); trivial. % 0.99/1.18 (* end of lemma zenon_L300_ *) % 0.99/1.18 assert (zenon_L301_ : ((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((hskp25)\/((hskp17)\/(hskp1))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> (~(hskp1)) -> ((hskp15)\/((hskp19)\/(hskp1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/((hskp20)\/(hskp28))) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c3_1 (a1648))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> False). % 0.99/1.19 do 0 intro. intros zenon_H155 zenon_H15a zenon_H118 zenon_H1ab zenon_H68 zenon_H34 zenon_H243 zenon_H41 zenon_H1 zenon_H5b zenon_H61 zenon_H5 zenon_H15 zenon_H16a zenon_Hd zenon_H1ed zenon_H84 zenon_H83 zenon_H82 zenon_H265 zenon_H24f zenon_H24d zenon_H161 zenon_H163 zenon_H162 zenon_Hca zenon_Hf1 zenon_Hce zenon_Hcf zenon_H112 zenon_Hb2 zenon_H229 zenon_H228 zenon_H227 zenon_H95 zenon_Hd0 zenon_H65 zenon_H5a zenon_H232 zenon_H191 zenon_H192 zenon_H233 zenon_H1c6 zenon_H1a4 zenon_H17b zenon_H17a zenon_H179 zenon_H211 zenon_He8 zenon_Heb zenon_H242 zenon_H222 zenon_Hf2. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 0.99/1.19 apply (zenon_L278_); trivial. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 0.99/1.19 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 0.99/1.19 apply (zenon_L235_); trivial. % 0.99/1.19 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_H20. zenon_intro zenon_Hf9. % 0.99/1.19 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H9a. zenon_intro zenon_Hfa. % 0.99/1.19 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_H98. zenon_intro zenon_H99. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 0.99/1.19 apply (zenon_L11_); trivial. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H20. zenon_intro zenon_H66. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H45. zenon_intro zenon_H67. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.99/1.19 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 0.99/1.19 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 0.99/1.19 apply (zenon_L298_); trivial. % 0.99/1.19 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H20. zenon_intro zenon_Hcb. % 0.99/1.19 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc1. zenon_intro zenon_Hcc. % 0.99/1.19 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc2. zenon_intro zenon_Hc0. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 0.99/1.19 apply (zenon_L233_); trivial. % 0.99/1.19 apply (zenon_L300_); trivial. % 0.99/1.19 apply (zenon_L277_); trivial. % 0.99/1.19 apply (zenon_L136_); trivial. % 0.99/1.19 (* end of lemma zenon_L301_ *) % 0.99/1.19 assert (zenon_L302_ : ((ndr1_0)/\((~(c0_1 (a1644)))/\((~(c1_1 (a1644)))/\(~(c3_1 (a1644)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1648))/\((c2_1 (a1648))/\(~(c3_1 (a1648))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((hskp25)\/((hskp17)\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> (~(hskp1)) -> ((hskp15)\/((hskp19)\/(hskp1))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/((hskp20)\/(hskp28))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> False). % 0.99/1.19 do 0 intro. intros zenon_H158 zenon_H224 zenon_H15a zenon_H118 zenon_H1ab zenon_H17b zenon_H17a zenon_H179 zenon_Hca zenon_H68 zenon_H222 zenon_H34 zenon_H1c6 zenon_H243 zenon_H242 zenon_H211 zenon_H233 zenon_H232 zenon_H41 zenon_H1 zenon_H5b zenon_H5a zenon_H61 zenon_H65 zenon_H5 zenon_H15 zenon_H24f zenon_H24d zenon_H1ff zenon_H1ed zenon_Hf1 zenon_Hce zenon_Hcf zenon_H112 zenon_Hb2 zenon_H229 zenon_H228 zenon_H227 zenon_H95 zenon_Hd0 zenon_Hf2 zenon_Heb zenon_He8 zenon_H82 zenon_H83 zenon_H84 zenon_H1d1 zenon_H19d zenon_H19f zenon_Hf0. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H20. zenon_intro zenon_H15b. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_Hd5. zenon_intro zenon_H15c. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_Hd6. zenon_intro zenon_Hd7. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 0.99/1.19 apply (zenon_L222_); trivial. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 0.99/1.19 apply (zenon_L227_); trivial. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 0.99/1.19 apply (zenon_L247_); trivial. % 0.99/1.19 apply (zenon_L122_); trivial. % 0.99/1.19 (* end of lemma zenon_L302_ *) % 0.99/1.19 assert (zenon_L303_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (ndr1_0) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> False). % 0.99/1.19 do 0 intro. intros zenon_H65 zenon_H61 zenon_H5a zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1 zenon_H41 zenon_H232 zenon_H191 zenon_H192 zenon_H233 zenon_H229 zenon_H228 zenon_H227 zenon_H20 zenon_H1ed zenon_H82 zenon_H83 zenon_H84 zenon_H19d zenon_H19f zenon_H2d zenon_H259 zenon_H242. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 0.99/1.19 apply (zenon_L268_); trivial. % 0.99/1.19 apply (zenon_L164_); trivial. % 0.99/1.19 (* end of lemma zenon_L303_ *) % 0.99/1.19 assert (zenon_L304_ : ((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(hskp22)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c2_1 (a1709)) -> (c1_1 (a1709)) -> (~(c0_1 (a1709))) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> False). % 0.99/1.19 do 0 intro. intros zenon_H23f zenon_H1c6 zenon_H20f zenon_H13c zenon_H13d zenon_H13e zenon_H211 zenon_H24 zenon_H23 zenon_H22 zenon_H1a4 zenon_H191 zenon_H192. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H20. zenon_intro zenon_H240. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H236. zenon_intro zenon_H241. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H237. zenon_intro zenon_H238. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1c7 ]. % 0.99/1.19 apply (zenon_L262_); trivial. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H21 | zenon_intro zenon_H1c3 ]. % 0.99/1.19 apply (zenon_L17_); trivial. % 0.99/1.19 apply (zenon_L191_); trivial. % 0.99/1.19 (* end of lemma zenon_L304_ *) % 0.99/1.19 assert (zenon_L305_ : ((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c3_1 (a1648))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (~(hskp22)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (~(hskp24)) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> False). % 0.99/1.19 do 0 intro. intros zenon_H2f zenon_H242 zenon_H1c6 zenon_H1a4 zenon_H13c zenon_H13d zenon_H13e zenon_H20f zenon_H211 zenon_H227 zenon_H228 zenon_H229 zenon_H233 zenon_H1b zenon_H192 zenon_H191 zenon_H232. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H20. zenon_intro zenon_H31. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H23. zenon_intro zenon_H32. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H24. zenon_intro zenon_H22. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 0.99/1.19 apply (zenon_L229_); trivial. % 0.99/1.19 apply (zenon_L304_); trivial. % 0.99/1.19 (* end of lemma zenon_L305_ *) % 0.99/1.19 assert (zenon_L306_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c3_1 (a1648))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (~(hskp22)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (~(hskp12)) -> (~(hskp24)) -> ((hskp12)\/((hskp25)\/(hskp24))) -> False). % 0.99/1.19 do 0 intro. intros zenon_H34 zenon_H242 zenon_H1c6 zenon_H1a4 zenon_H13c zenon_H13d zenon_H13e zenon_H20f zenon_H211 zenon_H227 zenon_H228 zenon_H229 zenon_H233 zenon_H192 zenon_H191 zenon_H232 zenon_H17 zenon_H1b zenon_H1d. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 0.99/1.19 apply (zenon_L15_); trivial. % 0.99/1.19 apply (zenon_L305_); trivial. % 0.99/1.19 (* end of lemma zenon_L306_ *) % 0.99/1.19 assert (zenon_L307_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(hskp12)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(hskp22)) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1648))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> False). % 0.99/1.19 do 0 intro. intros zenon_H65 zenon_H61 zenon_H5a zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1ed zenon_H1 zenon_H41 zenon_H1d zenon_H17 zenon_H232 zenon_H191 zenon_H192 zenon_H233 zenon_H229 zenon_H228 zenon_H227 zenon_H211 zenon_H20f zenon_H13e zenon_H13d zenon_H13c zenon_H1a4 zenon_H1c6 zenon_H242 zenon_H34. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 0.99/1.19 apply (zenon_L306_); trivial. % 0.99/1.19 apply (zenon_L164_); trivial. % 0.99/1.19 (* end of lemma zenon_L307_ *) % 0.99/1.19 assert (zenon_L308_ : ((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((hskp15)\/((hskp19)\/(hskp1))) -> (~(hskp1)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(c3_1 (a1648))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> False). % 0.99/1.19 do 0 intro. intros zenon_H155 zenon_H15a zenon_H118 zenon_H15 zenon_H5 zenon_H1ab zenon_H5b zenon_H68 zenon_H65 zenon_H61 zenon_H5a zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1ed zenon_H1 zenon_H41 zenon_H1d zenon_H232 zenon_H191 zenon_H192 zenon_H233 zenon_H229 zenon_H228 zenon_H227 zenon_H211 zenon_H1a4 zenon_H1c6 zenon_H242 zenon_H34 zenon_H222. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 0.99/1.19 apply (zenon_L307_); trivial. % 0.99/1.19 apply (zenon_L197_); trivial. % 0.99/1.19 apply (zenon_L204_); trivial. % 0.99/1.19 (* end of lemma zenon_L308_ *) % 0.99/1.19 assert (zenon_L309_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(hskp7)) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> False). % 0.99/1.19 do 0 intro. intros zenon_Hf2 zenon_Heb zenon_He8 zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_Hd0 zenon_Hcf zenon_H170 zenon_H13 zenon_Hb2 zenon_H95 zenon_H9 zenon_H2d zenon_H172 zenon_H61 zenon_Hce. % 0.99/1.19 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 0.99/1.19 apply (zenon_L93_); trivial. % 0.99/1.19 apply (zenon_L55_); trivial. % 0.99/1.19 (* end of lemma zenon_L309_ *) % 0.99/1.19 assert (zenon_L310_ : (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))) -> (ndr1_0) -> (~(c0_1 (a1637))) -> (~(c2_1 (a1637))) -> (c1_1 (a1637)) -> False). % 0.99/1.19 do 0 intro. intros zenon_H11d zenon_H20 zenon_H26c zenon_H26d zenon_H26e. % 0.99/1.19 generalize (zenon_H11d (a1637)). zenon_intro zenon_H26f. % 0.99/1.19 apply (zenon_imply_s _ _ zenon_H26f); [ zenon_intro zenon_H1f | zenon_intro zenon_H270 ]. % 0.99/1.19 exact (zenon_H1f zenon_H20). % 0.99/1.19 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H272 | zenon_intro zenon_H271 ]. % 0.99/1.19 exact (zenon_H26c zenon_H272). % 0.99/1.19 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H274 | zenon_intro zenon_H273 ]. % 0.99/1.19 exact (zenon_H26d zenon_H274). % 0.99/1.19 exact (zenon_H273 zenon_H26e). % 0.99/1.19 (* end of lemma zenon_L310_ *) % 0.99/1.19 assert (zenon_L311_ : (forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28)))))) -> (ndr1_0) -> (~(c0_1 (a1637))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> False). % 0.99/1.19 do 0 intro. intros zenon_H275 zenon_H20 zenon_H26c zenon_H11d zenon_H26e zenon_H276. % 0.99/1.19 generalize (zenon_H275 (a1637)). zenon_intro zenon_H277. % 0.99/1.19 apply (zenon_imply_s _ _ zenon_H277); [ zenon_intro zenon_H1f | zenon_intro zenon_H278 ]. % 0.99/1.19 exact (zenon_H1f zenon_H20). % 0.99/1.19 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H272 | zenon_intro zenon_H279 ]. % 0.99/1.19 exact (zenon_H26c zenon_H272). % 0.99/1.19 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H26d | zenon_intro zenon_H27a ]. % 0.99/1.19 apply (zenon_L310_); trivial. % 0.99/1.19 exact (zenon_H27a zenon_H276). % 0.99/1.19 (* end of lemma zenon_L311_ *) % 0.99/1.19 assert (zenon_L312_ : ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))) -> (~(c0_1 (a1637))) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> (ndr1_0) -> (~(hskp15)) -> False). % 0.99/1.19 do 0 intro. intros zenon_H27b zenon_H276 zenon_H26e zenon_H11d zenon_H26c zenon_H12a zenon_H129 zenon_H128 zenon_H20 zenon_H11. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H275 | zenon_intro zenon_H27c ]. % 0.99/1.19 apply (zenon_L311_); trivial. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_H127 | zenon_intro zenon_H12 ]. % 0.99/1.19 apply (zenon_L69_); trivial. % 0.99/1.19 exact (zenon_H11 zenon_H12). % 0.99/1.19 (* end of lemma zenon_L312_ *) % 0.99/1.19 assert (zenon_L313_ : (forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38)))))) -> (ndr1_0) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> False). % 0.99/1.19 do 0 intro. intros zenon_H251 zenon_H20 zenon_H26c zenon_H26e zenon_H276. % 0.99/1.19 generalize (zenon_H251 (a1637)). zenon_intro zenon_H27d. % 0.99/1.19 apply (zenon_imply_s _ _ zenon_H27d); [ zenon_intro zenon_H1f | zenon_intro zenon_H27e ]. % 0.99/1.19 exact (zenon_H1f zenon_H20). % 0.99/1.19 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H272 | zenon_intro zenon_H27f ]. % 0.99/1.19 exact (zenon_H26c zenon_H272). % 0.99/1.19 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H273 | zenon_intro zenon_H27a ]. % 0.99/1.19 exact (zenon_H273 zenon_H26e). % 0.99/1.19 exact (zenon_H27a zenon_H276). % 0.99/1.19 (* end of lemma zenon_L313_ *) % 0.99/1.19 assert (zenon_L314_ : ((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (~(hskp11)) -> False). % 0.99/1.19 do 0 intro. intros zenon_Hef zenon_H280 zenon_H276 zenon_H26e zenon_H26c zenon_H2d. % 0.99/1.19 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H20. zenon_intro zenon_Hf3. % 0.99/1.19 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H6c. zenon_intro zenon_Hf4. % 0.99/1.19 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H6a. zenon_intro zenon_H6b. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H251 | zenon_intro zenon_H281 ]. % 0.99/1.19 apply (zenon_L313_); trivial. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H69 | zenon_intro zenon_H2e ]. % 0.99/1.19 apply (zenon_L32_); trivial. % 0.99/1.19 exact (zenon_H2d zenon_H2e). % 0.99/1.19 (* end of lemma zenon_L314_ *) % 0.99/1.19 assert (zenon_L315_ : ((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (~(hskp11)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> False). % 0.99/1.19 do 0 intro. intros zenon_H15d zenon_H118 zenon_H280 zenon_H27b zenon_H276 zenon_H26e zenon_H26c zenon_H2d zenon_H132. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H11d | zenon_intro zenon_H135 ]. % 0.99/1.19 apply (zenon_L312_); trivial. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H127 | zenon_intro zenon_H2e ]. % 0.99/1.19 apply (zenon_L69_); trivial. % 0.99/1.19 exact (zenon_H2d zenon_H2e). % 0.99/1.19 apply (zenon_L314_); trivial. % 0.99/1.19 (* end of lemma zenon_L315_ *) % 0.99/1.19 assert (zenon_L316_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp11))) -> (~(hskp11)) -> (~(hskp7)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> (~(c0_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c3_1 (a1644))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> (~(hskp3)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658))))))) -> False). % 0.99/1.19 do 0 intro. intros zenon_H15a zenon_H118 zenon_H280 zenon_H27b zenon_H276 zenon_H26e zenon_H26c zenon_H132 zenon_H68 zenon_H65 zenon_H5a zenon_H5b zenon_H1 zenon_H41 zenon_H1d zenon_H30 zenon_H34 zenon_Hce zenon_H61 zenon_H172 zenon_H2d zenon_H9 zenon_H95 zenon_Hb2 zenon_H170 zenon_Hcf zenon_Hd0 zenon_Hd5 zenon_Hd6 zenon_Hd7 zenon_He8 zenon_Heb zenon_Hf2 zenon_H107 zenon_H105 zenon_H112 zenon_H117. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H2b | zenon_intro zenon_H114 ]. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 0.99/1.19 apply (zenon_L309_); trivial. % 0.99/1.19 apply (zenon_L30_); trivial. % 0.99/1.19 apply (zenon_L62_); trivial. % 0.99/1.19 apply (zenon_L315_); trivial. % 0.99/1.19 (* end of lemma zenon_L316_ *) % 0.99/1.19 assert (zenon_L317_ : ((ndr1_0)/\((~(c0_1 (a1644)))/\((~(c1_1 (a1644)))/\(~(c3_1 (a1644)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> ((hskp15)\/((hskp19)\/(hskp1))) -> (~(hskp1)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((hskp4)\/(hskp23))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a1699)))/\((~(c2_1 (a1699)))/\(~(c3_1 (a1699))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(hskp7)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> False). % 0.99/1.19 do 0 intro. intros zenon_H158 zenon_H159 zenon_Hf0 zenon_Hf1 zenon_Hca zenon_H82 zenon_H83 zenon_H84 zenon_H8d zenon_H75 zenon_H15 zenon_H5 zenon_H139 zenon_H150 zenon_H154 zenon_H117 zenon_H112 zenon_H105 zenon_H107 zenon_Hf2 zenon_Heb zenon_He8 zenon_Hd0 zenon_Hcf zenon_H170 zenon_Hb2 zenon_H95 zenon_H9 zenon_H172 zenon_H61 zenon_Hce zenon_H34 zenon_H30 zenon_H1d zenon_H41 zenon_H1 zenon_H5b zenon_H5a zenon_H65 zenon_H68 zenon_H132 zenon_H26c zenon_H26e zenon_H276 zenon_H27b zenon_H280 zenon_H118 zenon_H15a. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H20. zenon_intro zenon_H15b. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_Hd5. zenon_intro zenon_H15c. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_Hd6. zenon_intro zenon_Hd7. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 0.99/1.19 apply (zenon_L316_); trivial. % 0.99/1.19 apply (zenon_L79_); trivial. % 0.99/1.19 (* end of lemma zenon_L317_ *) % 0.99/1.19 assert (zenon_L318_ : ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))) -> (~(c0_1 (a1637))) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> (ndr1_0) -> (forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))) -> (~(hskp15)) -> False). % 0.99/1.19 do 0 intro. intros zenon_H27b zenon_H276 zenon_H26e zenon_H11d zenon_H26c zenon_H161 zenon_H163 zenon_H162 zenon_H20 zenon_H69 zenon_H11. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H275 | zenon_intro zenon_H27c ]. % 0.99/1.19 apply (zenon_L311_); trivial. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_H127 | zenon_intro zenon_H12 ]. % 0.99/1.19 apply (zenon_L150_); trivial. % 0.99/1.19 exact (zenon_H11 zenon_H12). % 0.99/1.19 (* end of lemma zenon_L318_ *) % 0.99/1.19 assert (zenon_L319_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> (~(hskp15)) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> (ndr1_0) -> (forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))) -> (~(hskp11)) -> False). % 0.99/1.19 do 0 intro. intros zenon_H132 zenon_H11 zenon_H26c zenon_H26e zenon_H276 zenon_H27b zenon_H161 zenon_H163 zenon_H162 zenon_H20 zenon_H69 zenon_H2d. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H11d | zenon_intro zenon_H135 ]. % 0.99/1.19 apply (zenon_L318_); trivial. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H127 | zenon_intro zenon_H2e ]. % 0.99/1.19 apply (zenon_L150_); trivial. % 0.99/1.19 exact (zenon_H2d zenon_H2e). % 0.99/1.19 (* end of lemma zenon_L319_ *) % 0.99/1.19 assert (zenon_L320_ : ((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(hskp17)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (~(hskp11)) -> (~(c3_1 (a1642))) -> (c0_1 (a1642)) -> (~(c2_1 (a1642))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (~(hskp15)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> False). % 0.99/1.19 do 0 intro. intros zenon_Hc9 zenon_Hca zenon_H8b zenon_H82 zenon_H83 zenon_H84 zenon_H8d zenon_H2d zenon_H162 zenon_H163 zenon_H161 zenon_H27b zenon_H276 zenon_H26e zenon_H26c zenon_H11 zenon_H132. % 0.99/1.19 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H20. zenon_intro zenon_Hcb. % 0.99/1.19 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc1. zenon_intro zenon_Hcc. % 0.99/1.19 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc2. zenon_intro zenon_Hc0. % 0.99/1.19 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H97 | zenon_intro zenon_Hcd ]. % 0.99/1.19 apply (zenon_L167_); trivial. % 0.99/1.19 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H69 | zenon_intro zenon_Ha2 ]. % 0.99/1.19 apply (zenon_L319_); trivial. % 0.99/1.19 apply (zenon_L49_); trivial. % 0.99/1.19 (* end of lemma zenon_L320_ *) % 0.99/1.19 assert (zenon_L321_ : ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> (~(hskp25)) -> (~(hskp28)) -> (ndr1_0) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (~(hskp21)) -> (~(hskp3)) -> False). % 0.99/1.19 do 0 intro. intros zenon_H107 zenon_H19 zenon_H3f zenon_H20 zenon_H26e zenon_H276 zenon_H265 zenon_Hb0 zenon_H105. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hfb | zenon_intro zenon_H108 ]. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H174 | zenon_intro zenon_H266 ]. % 0.99/1.19 generalize (zenon_H174 (a1637)). zenon_intro zenon_H282. % 0.99/1.19 apply (zenon_imply_s _ _ zenon_H282); [ zenon_intro zenon_H1f | zenon_intro zenon_H283 ]. % 0.99/1.19 exact (zenon_H1f zenon_H20). % 0.99/1.19 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H273 | zenon_intro zenon_H279 ]. % 0.99/1.19 exact (zenon_H273 zenon_H26e). % 0.99/1.19 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H26d | zenon_intro zenon_H27a ]. % 0.99/1.19 generalize (zenon_Hfb (a1637)). zenon_intro zenon_H284. % 0.99/1.19 apply (zenon_imply_s _ _ zenon_H284); [ zenon_intro zenon_H1f | zenon_intro zenon_H285 ]. % 0.99/1.19 exact (zenon_H1f zenon_H20). % 0.99/1.19 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H274 | zenon_intro zenon_H27f ]. % 0.99/1.19 exact (zenon_H26d zenon_H274). % 0.99/1.19 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H273 | zenon_intro zenon_H27a ]. % 0.99/1.19 exact (zenon_H273 zenon_H26e). % 0.99/1.19 exact (zenon_H27a zenon_H276). % 0.99/1.19 exact (zenon_H27a zenon_H276). % 0.99/1.19 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H40 | zenon_intro zenon_H1a ]. % 0.99/1.19 exact (zenon_H3f zenon_H40). % 0.99/1.19 exact (zenon_H19 zenon_H1a). % 0.99/1.19 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H106 ]. % 0.99/1.19 exact (zenon_Hb0 zenon_Hb1). % 0.99/1.19 exact (zenon_H105 zenon_H106). % 0.99/1.19 (* end of lemma zenon_L321_ *) % 0.99/1.19 assert (zenon_L322_ : ((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c3_1 (a1701)) -> (~(c1_1 (a1701))) -> (~(c0_1 (a1701))) -> False). % 0.99/1.19 do 0 intro. intros zenon_H2f zenon_H5a zenon_H38 zenon_H37 zenon_H36. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H20. zenon_intro zenon_H31. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H23. zenon_intro zenon_H32. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H24. zenon_intro zenon_H22. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H21 ]. % 0.99/1.19 apply (zenon_L22_); trivial. % 0.99/1.19 apply (zenon_L17_); trivial. % 0.99/1.19 (* end of lemma zenon_L322_ *) % 0.99/1.19 assert (zenon_L323_ : ((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> (~(hskp3)) -> (~(hskp21)) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (c2_1 (a1682)) -> (c1_1 (a1682)) -> (~(c3_1 (a1682))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> False). % 0.99/1.19 do 0 intro. intros zenon_H60 zenon_H34 zenon_H107 zenon_H105 zenon_Hb0 zenon_H26e zenon_H276 zenon_H265 zenon_H5b zenon_H46 zenon_H45 zenon_H44 zenon_H5a zenon_H61. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H20. zenon_intro zenon_H62. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H38. zenon_intro zenon_H63. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H36. zenon_intro zenon_H37. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 0.99/1.19 apply (zenon_L321_); trivial. % 0.99/1.19 apply (zenon_L28_); trivial. % 0.99/1.19 apply (zenon_L322_); trivial. % 0.99/1.19 (* end of lemma zenon_L323_ *) % 0.99/1.19 assert (zenon_L324_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> (~(hskp3)) -> (~(hskp21)) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (c2_1 (a1682)) -> (c1_1 (a1682)) -> (~(c3_1 (a1682))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(hskp12)) -> (~(hskp13)) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> False). % 0.99/1.19 do 0 intro. intros zenon_H65 zenon_H107 zenon_H105 zenon_Hb0 zenon_H26e zenon_H276 zenon_H265 zenon_H5b zenon_H46 zenon_H45 zenon_H44 zenon_H5a zenon_H61 zenon_H1d zenon_H17 zenon_H2b zenon_H2d zenon_H30 zenon_H34. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 0.99/1.19 apply (zenon_L21_); trivial. % 0.99/1.19 apply (zenon_L323_); trivial. % 0.99/1.19 (* end of lemma zenon_L324_ *) % 0.99/1.19 assert (zenon_L325_ : ((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> (~(hskp18)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> (~(hskp11)) -> (~(hskp13)) -> (~(hskp12)) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> False). % 0.99/1.19 do 0 intro. intros zenon_H64 zenon_Hce zenon_H11b zenon_H119 zenon_H34 zenon_H30 zenon_H2d zenon_H2b zenon_H17 zenon_H1d zenon_H61 zenon_H5a zenon_H5b zenon_H265 zenon_H276 zenon_H26e zenon_H105 zenon_H107 zenon_H65. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H20. zenon_intro zenon_H66. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H45. zenon_intro zenon_H67. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.99/1.19 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 0.99/1.19 apply (zenon_L324_); trivial. % 0.99/1.19 apply (zenon_L65_); trivial. % 0.99/1.19 (* end of lemma zenon_L325_ *) % 0.99/1.19 assert (zenon_L326_ : ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> (forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.99/1.19 do 0 intro. intros zenon_H280 zenon_H276 zenon_H26e zenon_H26c zenon_H161 zenon_H163 zenon_H162 zenon_H127 zenon_H20 zenon_H2d. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H251 | zenon_intro zenon_H281 ]. % 0.99/1.19 apply (zenon_L313_); trivial. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H69 | zenon_intro zenon_H2e ]. % 0.99/1.19 apply (zenon_L150_); trivial. % 0.99/1.19 exact (zenon_H2d zenon_H2e). % 0.99/1.19 (* end of lemma zenon_L326_ *) % 0.99/1.19 assert (zenon_L327_ : ((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> (~(c3_1 (a1642))) -> (c0_1 (a1642)) -> (~(c2_1 (a1642))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> (~(hskp11)) -> False). % 0.99/1.19 do 0 intro. intros zenon_H131 zenon_H132 zenon_H162 zenon_H163 zenon_H161 zenon_H26c zenon_H26e zenon_H276 zenon_H280 zenon_H2d. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H20. zenon_intro zenon_H133. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H120. zenon_intro zenon_H134. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H11d | zenon_intro zenon_H135 ]. % 0.99/1.19 apply (zenon_L68_); trivial. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H127 | zenon_intro zenon_H2e ]. % 0.99/1.19 apply (zenon_L326_); trivial. % 0.99/1.19 exact (zenon_H2d zenon_H2e). % 0.99/1.19 (* end of lemma zenon_L327_ *) % 0.99/1.19 assert (zenon_L328_ : ((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (c2_1 (a1675)) -> (~(c1_1 (a1675))) -> (~(c0_1 (a1675))) -> (~(hskp11)) -> (~(c3_1 (a1642))) -> (c0_1 (a1642)) -> (~(c2_1 (a1642))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (~(hskp15)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> False). % 0.99/1.19 do 0 intro. intros zenon_Hc9 zenon_Hca zenon_H9a zenon_H99 zenon_H98 zenon_H2d zenon_H162 zenon_H163 zenon_H161 zenon_H27b zenon_H276 zenon_H26e zenon_H26c zenon_H11 zenon_H132. % 0.99/1.19 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H20. zenon_intro zenon_Hcb. % 0.99/1.19 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc1. zenon_intro zenon_Hcc. % 0.99/1.19 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc2. zenon_intro zenon_Hc0. % 0.99/1.19 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H97 | zenon_intro zenon_Hcd ]. % 0.99/1.19 apply (zenon_L43_); trivial. % 0.99/1.19 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H69 | zenon_intro zenon_Ha2 ]. % 0.99/1.19 apply (zenon_L319_); trivial. % 0.99/1.19 apply (zenon_L49_); trivial. % 0.99/1.19 (* end of lemma zenon_L328_ *) % 0.99/1.19 assert (zenon_L329_ : ((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> (~(c3_1 (a1642))) -> (c0_1 (a1642)) -> (~(c2_1 (a1642))) -> (~(hskp15)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> False). % 0.99/1.19 do 0 intro. intros zenon_Hf8 zenon_Hf2 zenon_Heb zenon_He8 zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_Hd0 zenon_H95 zenon_H132 zenon_H2d zenon_H26c zenon_H26e zenon_H276 zenon_H162 zenon_H163 zenon_H161 zenon_H11 zenon_H27b zenon_Hb2 zenon_Hca zenon_Hcf zenon_Hce. % 0.99/1.19 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_H20. zenon_intro zenon_Hf9. % 0.99/1.19 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H9a. zenon_intro zenon_Hfa. % 0.99/1.19 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_H98. zenon_intro zenon_H99. % 0.99/1.19 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 0.99/1.19 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 0.99/1.19 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H8f | zenon_intro zenon_Hbd ]. % 0.99/1.19 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H93 | zenon_intro zenon_Hd1 ]. % 0.99/1.19 apply (zenon_L42_); trivial. % 0.99/1.19 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H20. zenon_intro zenon_Hd2. % 0.99/1.19 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Ha1. zenon_intro zenon_Hd3. % 0.99/1.19 apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_Ha3. zenon_intro zenon_Ha4. % 0.99/1.19 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H97 | zenon_intro zenon_Hcd ]. % 0.99/1.19 apply (zenon_L43_); trivial. % 0.99/1.19 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H69 | zenon_intro zenon_Ha2 ]. % 0.99/1.19 apply (zenon_L319_); trivial. % 0.99/1.19 apply (zenon_L46_); trivial. % 0.99/1.19 apply (zenon_L48_); trivial. % 0.99/1.19 apply (zenon_L328_); trivial. % 0.99/1.19 apply (zenon_L55_); trivial. % 0.99/1.19 (* end of lemma zenon_L329_ *) % 0.99/1.19 assert (zenon_L330_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (~(hskp11)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (~(hskp6)) -> ((hskp19)\/((hskp21)\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> (~(hskp3)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> (~(c0_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c3_1 (a1644))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658))))))) -> False). % 0.99/1.19 do 0 intro. intros zenon_H15a zenon_H118 zenon_Hf0 zenon_H1 zenon_H75 zenon_H136 zenon_H280 zenon_Hce zenon_Hca zenon_H27b zenon_H161 zenon_H163 zenon_H162 zenon_H276 zenon_H26e zenon_H26c zenon_H2d zenon_H132 zenon_H82 zenon_H83 zenon_H84 zenon_H8d zenon_Hb zenon_H16e zenon_H65 zenon_H107 zenon_H105 zenon_H265 zenon_H5b zenon_H5a zenon_H61 zenon_H1d zenon_H30 zenon_H34 zenon_H11b zenon_H68 zenon_Hcf zenon_Hb2 zenon_H95 zenon_Hd0 zenon_Hd5 zenon_Hd6 zenon_Hd7 zenon_He8 zenon_Heb zenon_Hf2 zenon_Hf1 zenon_H112 zenon_H117. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H2b | zenon_intro zenon_H114 ]. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 0.99/1.19 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H119 | zenon_intro zenon_H131 ]. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 0.99/1.19 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 0.99/1.19 apply (zenon_L85_); trivial. % 0.99/1.19 apply (zenon_L320_); trivial. % 0.99/1.19 apply (zenon_L325_); trivial. % 0.99/1.19 apply (zenon_L327_); trivial. % 0.99/1.19 apply (zenon_L329_); trivial. % 0.99/1.19 apply (zenon_L56_); trivial. % 0.99/1.19 apply (zenon_L62_); trivial. % 0.99/1.19 apply (zenon_L315_); trivial. % 0.99/1.19 (* end of lemma zenon_L330_ *) % 0.99/1.19 assert (zenon_L331_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp11))) -> (~(hskp11)) -> (~(hskp7)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/(hskp7))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658))))))) -> False). % 0.99/1.19 do 0 intro. intros zenon_H15a zenon_H118 zenon_H280 zenon_H27b zenon_H276 zenon_H26e zenon_H26c zenon_H132 zenon_H68 zenon_H5b zenon_H1 zenon_H41 zenon_Hce zenon_H61 zenon_H172 zenon_H2d zenon_H9 zenon_H95 zenon_Hb2 zenon_H170 zenon_Hcf zenon_Hd0 zenon_H34 zenon_H30 zenon_H1d zenon_H5a zenon_H17b zenon_H17a zenon_H179 zenon_He8 zenon_Heb zenon_H65 zenon_Hf2 zenon_H107 zenon_H105 zenon_H187 zenon_H112 zenon_H117. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 0.99/1.19 apply (zenon_L102_); trivial. % 0.99/1.19 apply (zenon_L315_); trivial. % 0.99/1.19 (* end of lemma zenon_L331_ *) % 0.99/1.19 assert (zenon_L332_ : (forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))) -> (ndr1_0) -> (c1_1 (a1637)) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))) -> (~(c0_1 (a1637))) -> (c3_1 (a1637)) -> False). % 0.99/1.19 do 0 intro. intros zenon_H174 zenon_H20 zenon_H26e zenon_H11d zenon_H26c zenon_H276. % 0.99/1.19 generalize (zenon_H174 (a1637)). zenon_intro zenon_H282. % 0.99/1.19 apply (zenon_imply_s _ _ zenon_H282); [ zenon_intro zenon_H1f | zenon_intro zenon_H283 ]. % 0.99/1.19 exact (zenon_H1f zenon_H20). % 0.99/1.19 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H273 | zenon_intro zenon_H279 ]. % 0.99/1.19 exact (zenon_H273 zenon_H26e). % 0.99/1.19 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H26d | zenon_intro zenon_H27a ]. % 0.99/1.19 apply (zenon_L310_); trivial. % 0.99/1.19 exact (zenon_H27a zenon_H276). % 0.99/1.19 (* end of lemma zenon_L332_ *) % 0.99/1.19 assert (zenon_L333_ : ((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp11)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> (~(hskp9)) -> False). % 0.99/1.19 do 0 intro. intros zenon_H60 zenon_H286 zenon_H2d zenon_H280 zenon_H276 zenon_H26e zenon_H26c zenon_H161 zenon_H163 zenon_H162 zenon_H132 zenon_Hd. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H20. zenon_intro zenon_H62. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H38. zenon_intro zenon_H63. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H36. zenon_intro zenon_H37. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H35 | zenon_intro zenon_H287 ]. % 0.99/1.19 apply (zenon_L22_); trivial. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H174 | zenon_intro zenon_He ]. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H11d | zenon_intro zenon_H135 ]. % 0.99/1.19 apply (zenon_L332_); trivial. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H127 | zenon_intro zenon_H2e ]. % 0.99/1.19 apply (zenon_L326_); trivial. % 0.99/1.19 exact (zenon_H2d zenon_H2e). % 0.99/1.19 exact (zenon_Hd zenon_He). % 0.99/1.19 (* end of lemma zenon_L333_ *) % 0.99/1.19 assert (zenon_L334_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (c3_1 (a1637)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(hskp12)) -> (~(hskp13)) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> False). % 0.99/1.19 do 0 intro. intros zenon_H65 zenon_H286 zenon_Hd zenon_H26e zenon_H26c zenon_H276 zenon_H280 zenon_H161 zenon_H163 zenon_H162 zenon_H132 zenon_H1d zenon_H17 zenon_H2b zenon_H2d zenon_H30 zenon_H34. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 0.99/1.19 apply (zenon_L21_); trivial. % 0.99/1.19 apply (zenon_L333_); trivial. % 0.99/1.19 (* end of lemma zenon_L334_ *) % 0.99/1.19 assert (zenon_L335_ : ((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (~(hskp15)) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (~(hskp11)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> (~(c2_1 (a1658))) -> (c1_1 (a1658)) -> (c3_1 (a1658)) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> False). % 0.99/1.19 do 0 intro. intros zenon_Hf8 zenon_Hce zenon_Hca zenon_H27b zenon_H11 zenon_H161 zenon_H163 zenon_H162 zenon_H276 zenon_H26e zenon_H26c zenon_H2d zenon_H132 zenon_Hfc zenon_Hfd zenon_Hfe zenon_H105 zenon_H107. % 0.99/1.19 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_H20. zenon_intro zenon_Hf9. % 0.99/1.19 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H9a. zenon_intro zenon_Hfa. % 0.99/1.19 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_H98. zenon_intro zenon_H99. % 0.99/1.19 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 0.99/1.19 apply (zenon_L59_); trivial. % 0.99/1.19 apply (zenon_L328_); trivial. % 0.99/1.19 (* end of lemma zenon_L335_ *) % 0.99/1.19 assert (zenon_L336_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (c3_1 (a1637)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> (~(hskp3)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658))))))) -> False). % 0.99/1.19 do 0 intro. intros zenon_H15a zenon_H65 zenon_H286 zenon_Hd zenon_H26e zenon_H26c zenon_H276 zenon_H280 zenon_H161 zenon_H163 zenon_H162 zenon_H132 zenon_H1d zenon_H2d zenon_H30 zenon_H34 zenon_Hf1 zenon_H107 zenon_H105 zenon_H8d zenon_H84 zenon_H83 zenon_H82 zenon_H27b zenon_Hca zenon_Hce zenon_H118 zenon_H117. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H2b | zenon_intro zenon_H114 ]. % 0.99/1.19 apply (zenon_L334_); trivial. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H20. zenon_intro zenon_H115. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_Hfd. zenon_intro zenon_H116. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hfe. zenon_intro zenon_Hfc. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 0.99/1.19 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 0.99/1.19 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 0.99/1.19 apply (zenon_L59_); trivial. % 0.99/1.19 apply (zenon_L320_); trivial. % 0.99/1.19 apply (zenon_L335_); trivial. % 0.99/1.19 apply (zenon_L181_); trivial. % 0.99/1.19 apply (zenon_L315_); trivial. % 0.99/1.19 (* end of lemma zenon_L336_ *) % 0.99/1.19 assert (zenon_L337_ : ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp3))) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> (ndr1_0) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> (~(hskp15)) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (~(hskp11)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (~(hskp3)) -> False). % 0.99/1.19 do 0 intro. intros zenon_H150 zenon_H161 zenon_H163 zenon_H162 zenon_H20 zenon_H132 zenon_H11 zenon_H26c zenon_H26e zenon_H276 zenon_H27b zenon_H2d zenon_H97 zenon_H179 zenon_H17a zenon_H17b zenon_H1ab zenon_H105. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H13b | zenon_intro zenon_H153 ]. % 0.99/1.19 apply (zenon_L118_); trivial. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_H145 | zenon_intro zenon_H106 ]. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H13b | zenon_intro zenon_H1ac ]. % 0.99/1.19 apply (zenon_L118_); trivial. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H69 | zenon_intro zenon_H127 ]. % 0.99/1.19 apply (zenon_L319_); trivial. % 0.99/1.19 apply (zenon_L148_); trivial. % 0.99/1.19 exact (zenon_H105 zenon_H106). % 0.99/1.19 (* end of lemma zenon_L337_ *) % 0.99/1.19 assert (zenon_L338_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(hskp20)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp3))) -> (~(hskp3)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> (~(c3_1 (a1642))) -> (c0_1 (a1642)) -> (~(c2_1 (a1642))) -> (~(hskp15)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(hskp21)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> False). % 0.99/1.19 do 0 intro. intros zenon_Hd0 zenon_H95 zenon_H91 zenon_H150 zenon_H105 zenon_H132 zenon_H2d zenon_H26c zenon_H26e zenon_H276 zenon_H162 zenon_H163 zenon_H161 zenon_H11 zenon_H27b zenon_H1ab zenon_H17b zenon_H17a zenon_H179 zenon_Hb2 zenon_Hb0 zenon_Hca zenon_Hcf. % 0.99/1.19 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H8f | zenon_intro zenon_Hbd ]. % 0.99/1.19 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H93 | zenon_intro zenon_Hd1 ]. % 0.99/1.19 apply (zenon_L42_); trivial. % 0.99/1.19 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H20. zenon_intro zenon_Hd2. % 0.99/1.19 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Ha1. zenon_intro zenon_Hd3. % 0.99/1.19 apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_Ha3. zenon_intro zenon_Ha4. % 0.99/1.19 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H97 | zenon_intro zenon_Hcd ]. % 0.99/1.19 apply (zenon_L337_); trivial. % 0.99/1.19 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H69 | zenon_intro zenon_Ha2 ]. % 0.99/1.19 apply (zenon_L319_); trivial. % 0.99/1.19 apply (zenon_L46_); trivial. % 0.99/1.19 apply (zenon_L48_); trivial. % 0.99/1.19 (* end of lemma zenon_L338_ *) % 0.99/1.19 assert (zenon_L339_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> (c3_1 (a1658)) -> (c1_1 (a1658)) -> (~(c2_1 (a1658))) -> (forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.99/1.19 do 0 intro. intros zenon_H259 zenon_Hfe zenon_Hfd zenon_Hfc zenon_Hde zenon_H276 zenon_H26e zenon_H26c zenon_H20 zenon_H2d. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H109 | zenon_intro zenon_H25a ]. % 0.99/1.19 apply (zenon_L60_); trivial. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H251 | zenon_intro zenon_H2e ]. % 0.99/1.19 apply (zenon_L313_); trivial. % 0.99/1.19 exact (zenon_H2d zenon_H2e). % 0.99/1.19 (* end of lemma zenon_L339_ *) % 0.99/1.19 assert (zenon_L340_ : ((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> (~(hskp11)) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> (~(hskp4)) -> False). % 0.99/1.19 do 0 intro. intros zenon_H114 zenon_Heb zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_H2d zenon_H26c zenon_H26e zenon_H276 zenon_H259 zenon_He8. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H20. zenon_intro zenon_H115. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_Hfd. zenon_intro zenon_H116. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hfe. zenon_intro zenon_Hfc. % 0.99/1.19 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hee ]. % 0.99/1.19 apply (zenon_L52_); trivial. % 0.99/1.19 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_Hde | zenon_intro zenon_He9 ]. % 0.99/1.19 apply (zenon_L339_); trivial. % 0.99/1.19 exact (zenon_He8 zenon_He9). % 0.99/1.19 (* end of lemma zenon_L340_ *) % 0.99/1.19 assert (zenon_L341_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp3))) -> (~(hskp3)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> (~(c3_1 (a1642))) -> (c0_1 (a1642)) -> (~(c2_1 (a1642))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> (~(c0_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c3_1 (a1644))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658))))))) -> False). % 0.99/1.19 do 0 intro. intros zenon_H15a zenon_H118 zenon_H280 zenon_Hf2 zenon_H65 zenon_Heb zenon_He8 zenon_H5a zenon_H1d zenon_H30 zenon_H34 zenon_Hd0 zenon_H95 zenon_H150 zenon_H105 zenon_H132 zenon_H2d zenon_H26c zenon_H26e zenon_H276 zenon_H162 zenon_H163 zenon_H161 zenon_H27b zenon_H1ab zenon_H17b zenon_H17a zenon_H179 zenon_Hb2 zenon_Hca zenon_Hcf zenon_H8d zenon_H84 zenon_H83 zenon_H82 zenon_Hce zenon_Hd5 zenon_Hd6 zenon_Hd7 zenon_Hf1 zenon_H259 zenon_H117. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H2b | zenon_intro zenon_H114 ]. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 0.99/1.19 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 0.99/1.19 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 0.99/1.19 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 0.99/1.19 apply (zenon_L338_); trivial. % 0.99/1.19 apply (zenon_L320_); trivial. % 0.99/1.19 apply (zenon_L97_); trivial. % 0.99/1.19 apply (zenon_L329_); trivial. % 0.99/1.19 apply (zenon_L314_); trivial. % 0.99/1.19 apply (zenon_L340_); trivial. % 0.99/1.19 apply (zenon_L315_); trivial. % 0.99/1.19 (* end of lemma zenon_L341_ *) % 0.99/1.19 assert (zenon_L342_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((hskp7)\/(hskp8))) -> (~(hskp8)) -> (~(hskp7)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (ndr1_0) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> (~(hskp10)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> False). % 0.99/1.19 do 0 intro. intros zenon_Hf0 zenon_Hf1 zenon_H18f zenon_H18d zenon_H9 zenon_H82 zenon_H83 zenon_H84 zenon_H8d zenon_H20 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H189 zenon_H1d1. % 0.99/1.19 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 0.99/1.19 apply (zenon_L159_); trivial. % 0.99/1.19 apply (zenon_L108_); trivial. % 0.99/1.19 (* end of lemma zenon_L342_ *) % 0.99/1.19 assert (zenon_L343_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658))))))) -> False). % 0.99/1.19 do 0 intro. intros zenon_H15a zenon_H118 zenon_H280 zenon_H27b zenon_H276 zenon_H26e zenon_H26c zenon_H132 zenon_H65 zenon_H61 zenon_H5a zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1ed zenon_H1 zenon_H41 zenon_H1d zenon_H2d zenon_H30 zenon_H34 zenon_Hce zenon_H8d zenon_H84 zenon_H83 zenon_H82 zenon_Hca zenon_H105 zenon_H107 zenon_Hf1 zenon_H117. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 0.99/1.19 apply (zenon_L175_); trivial. % 0.99/1.19 apply (zenon_L315_); trivial. % 0.99/1.19 (* end of lemma zenon_L343_ *) % 0.99/1.19 assert (zenon_L344_ : ((ndr1_0)/\((c1_1 (a1643))/\((~(c2_1 (a1643)))/\(~(c3_1 (a1643)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1648))/\((c2_1 (a1648))/\(~(c3_1 (a1648))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> ((hskp10)\/((hskp18)\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((hskp15)\/((hskp19)\/(hskp1))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> False). % 0.99/1.19 do 0 intro. intros zenon_H223 zenon_H224 zenon_H222 zenon_H211 zenon_H75 zenon_H117 zenon_H107 zenon_H105 zenon_Hce zenon_H30 zenon_H26c zenon_H26e zenon_H276 zenon_H27b zenon_H280 zenon_H136 zenon_H1bc zenon_H5 zenon_H132 zenon_H18b zenon_Hf0 zenon_Hf1 zenon_H65 zenon_H61 zenon_H1ed zenon_H1 zenon_H41 zenon_H1d zenon_H5a zenon_H1ab zenon_H1c6 zenon_Hca zenon_H34 zenon_H82 zenon_H83 zenon_H84 zenon_H8d zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1d1 zenon_H68 zenon_H5b zenon_H15 zenon_H118 zenon_H15a zenon_H159. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H20. zenon_intro zenon_H225. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H1b0. zenon_intro zenon_H226. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_H1af. zenon_intro zenon_H1ad. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 0.99/1.19 apply (zenon_L213_); trivial. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 0.99/1.19 apply (zenon_L343_); trivial. % 0.99/1.19 apply (zenon_L214_); trivial. % 0.99/1.19 (* end of lemma zenon_L344_ *) % 0.99/1.19 assert (zenon_L345_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.99/1.19 do 0 intro. intros zenon_H259 zenon_H229 zenon_H228 zenon_H227 zenon_H276 zenon_H26e zenon_H26c zenon_H20 zenon_H2d. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H109 | zenon_intro zenon_H25a ]. % 0.99/1.19 apply (zenon_L223_); trivial. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H251 | zenon_intro zenon_H2e ]. % 0.99/1.19 apply (zenon_L313_); trivial. % 0.99/1.19 exact (zenon_H2d zenon_H2e). % 0.99/1.19 (* end of lemma zenon_L345_ *) % 0.99/1.19 assert (zenon_L346_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp10)\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> (~(c0_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c3_1 (a1644))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (ndr1_0) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> False). % 0.99/1.19 do 0 intro. intros zenon_H159 zenon_Hf0 zenon_H222 zenon_H232 zenon_H211 zenon_H5 zenon_H1bc zenon_H242 zenon_Hd5 zenon_Hd6 zenon_Hd7 zenon_H1d1 zenon_H189 zenon_H84 zenon_H83 zenon_H82 zenon_He8 zenon_Heb zenon_H20 zenon_H227 zenon_H228 zenon_H229 zenon_H26c zenon_H26e zenon_H276 zenon_H259. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 0.99/1.19 apply (zenon_L345_); trivial. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 0.99/1.19 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 0.99/1.19 apply (zenon_L221_); trivial. % 0.99/1.19 apply (zenon_L264_); trivial. % 0.99/1.19 (* end of lemma zenon_L346_ *) % 0.99/1.19 assert (zenon_L347_ : ((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c3_1 (a1648))) -> ((hskp25)\/((hskp17)\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> (~(hskp1)) -> ((hskp15)\/((hskp19)\/(hskp1))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/((hskp20)\/(hskp28))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> (~(c0_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c3_1 (a1644))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> False). % 0.99/1.19 do 0 intro. intros zenon_H155 zenon_H15a zenon_H118 zenon_H1ab zenon_H68 zenon_H222 zenon_H34 zenon_H1c6 zenon_H1a4 zenon_H243 zenon_H242 zenon_H211 zenon_H233 zenon_H192 zenon_H191 zenon_H232 zenon_H41 zenon_H1 zenon_H5b zenon_H5a zenon_H61 zenon_H65 zenon_H5 zenon_H15 zenon_H24f zenon_H24d zenon_H1ff zenon_H82 zenon_H83 zenon_H84 zenon_H1ed zenon_Hf1 zenon_Hce zenon_Hcf zenon_H112 zenon_Hb2 zenon_H229 zenon_H228 zenon_H227 zenon_H95 zenon_Hd0 zenon_Hd5 zenon_Hd6 zenon_Hd7 zenon_He8 zenon_Heb zenon_Hf2. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 0.99/1.19 apply (zenon_L227_); trivial. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 0.99/1.19 apply (zenon_L247_); trivial. % 0.99/1.19 apply (zenon_L136_); trivial. % 0.99/1.19 (* end of lemma zenon_L347_ *) % 0.99/1.19 assert (zenon_L348_ : ((ndr1_0)/\((~(c0_1 (a1644)))/\((~(c1_1 (a1644)))/\(~(c3_1 (a1644)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1648))/\((c2_1 (a1648))/\(~(c3_1 (a1648))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((hskp25)\/((hskp17)\/(hskp1))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((hskp15)\/((hskp19)\/(hskp1))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/((hskp20)\/(hskp28))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> False). % 0.99/1.19 do 0 intro. intros zenon_H158 zenon_H224 zenon_H15a zenon_H118 zenon_H1ab zenon_H68 zenon_H34 zenon_H1c6 zenon_H243 zenon_H233 zenon_H41 zenon_H1 zenon_H5b zenon_H5a zenon_H61 zenon_H65 zenon_H15 zenon_H24f zenon_H24d zenon_H1ff zenon_H1ed zenon_Hf1 zenon_Hce zenon_Hcf zenon_H112 zenon_Hb2 zenon_H95 zenon_Hd0 zenon_Hf2 zenon_H259 zenon_H276 zenon_H26e zenon_H26c zenon_H229 zenon_H228 zenon_H227 zenon_Heb zenon_He8 zenon_H82 zenon_H83 zenon_H84 zenon_H1d1 zenon_H242 zenon_H1bc zenon_H5 zenon_H211 zenon_H232 zenon_H222 zenon_Hf0 zenon_H159. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H20. zenon_intro zenon_H15b. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_Hd5. zenon_intro zenon_H15c. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_Hd6. zenon_intro zenon_Hd7. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 0.99/1.19 apply (zenon_L346_); trivial. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 0.99/1.19 apply (zenon_L345_); trivial. % 0.99/1.19 apply (zenon_L347_); trivial. % 0.99/1.19 (* end of lemma zenon_L348_ *) % 0.99/1.19 assert (zenon_L349_ : ((ndr1_0)/\((c0_1 (a1648))/\((c2_1 (a1648))/\(~(c3_1 (a1648)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((hskp25)\/((hskp17)\/(hskp1))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> (~(hskp1)) -> ((hskp15)\/((hskp19)\/(hskp1))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/((hskp20)\/(hskp28))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> False). % 0.99/1.19 do 0 intro. intros zenon_H1a1 zenon_H159 zenon_H15a zenon_H118 zenon_H1ab zenon_H68 zenon_H34 zenon_H243 zenon_H41 zenon_H1 zenon_H5b zenon_H61 zenon_H5 zenon_H15 zenon_H24f zenon_H24d zenon_H1ff zenon_H82 zenon_H83 zenon_H84 zenon_H1ed zenon_Hf1 zenon_Hce zenon_Hcf zenon_H112 zenon_Hb2 zenon_H95 zenon_Hd0 zenon_H65 zenon_H5a zenon_H232 zenon_H233 zenon_H1c6 zenon_H17b zenon_H17a zenon_H179 zenon_H211 zenon_He8 zenon_Heb zenon_H242 zenon_H222 zenon_Hf2 zenon_H227 zenon_H228 zenon_H229 zenon_H26c zenon_H26e zenon_H276 zenon_H259. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 0.99/1.19 apply (zenon_L345_); trivial. % 0.99/1.19 apply (zenon_L282_); trivial. % 0.99/1.19 (* end of lemma zenon_L349_ *) % 0.99/1.19 assert (zenon_L350_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1648))/\((c2_1 (a1648))/\(~(c3_1 (a1648))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((hskp25)\/((hskp17)\/(hskp1))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/((hskp20)\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c2_1 (a1641)) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (ndr1_0) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((hskp15)\/((hskp19)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp29))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp10)\/(hskp1))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c3_1 (a1640)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> False). % 0.99/1.19 do 0 intro. intros zenon_H224 zenon_H15a zenon_H34 zenon_H243 zenon_H41 zenon_H5b zenon_H61 zenon_H16a zenon_Hd zenon_H1ed zenon_H265 zenon_H24f zenon_H24d zenon_Hca zenon_Hf1 zenon_Hce zenon_Hcf zenon_H112 zenon_Hb2 zenon_H95 zenon_Hd0 zenon_H65 zenon_H5a zenon_H233 zenon_H1c6 zenon_H17b zenon_Hf2 zenon_H259 zenon_H276 zenon_H26e zenon_H26c zenon_H229 zenon_H228 zenon_H227 zenon_H20 zenon_Hf0 zenon_H232 zenon_H15 zenon_H5 zenon_H242 zenon_H25d zenon_H1bc zenon_H179 zenon_H17a zenon_H211 zenon_H84 zenon_H82 zenon_H83 zenon_H75 zenon_H1 zenon_H161 zenon_H163 zenon_H162 zenon_H1ab zenon_H1d1 zenon_He8 zenon_Heb zenon_H222 zenon_H68 zenon_H118 zenon_H159. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 0.99/1.19 apply (zenon_L345_); trivial. % 0.99/1.19 apply (zenon_L287_); trivial. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 0.99/1.19 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 0.99/1.19 apply (zenon_L345_); trivial. % 0.99/1.19 apply (zenon_L301_); trivial. % 0.99/1.19 (* end of lemma zenon_L350_ *) % 0.99/1.19 assert (zenon_L351_ : ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (c2_1 (a1635)) -> (c1_1 (a1635)) -> (c0_1 (a1635)) -> (ndr1_0) -> (c0_1 (a1640)) -> (forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))) -> (~(c2_1 (a1640))) -> (c3_1 (a1640)) -> False). % 0.99/1.19 do 0 intro. intros zenon_H1ed zenon_Hde zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H20 zenon_H83 zenon_H69 zenon_H82 zenon_H84. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1ee ]. % 0.99/1.19 apply (zenon_L140_); trivial. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H56 | zenon_intro zenon_H1e9 ]. % 0.99/1.19 apply (zenon_L47_); trivial. % 0.99/1.19 apply (zenon_L187_); trivial. % 0.99/1.19 (* end of lemma zenon_L351_ *) % 0.99/1.19 assert (zenon_L352_ : ((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> (c3_1 (a1691)) -> (c2_1 (a1691)) -> (~(c1_1 (a1691))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (c3_1 (a1640)) -> (~(c0_1 (a1675))) -> (~(c1_1 (a1675))) -> (c2_1 (a1675)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(hskp4)) -> False). % 0.99/1.19 do 0 intro. intros zenon_Hbd zenon_Heb zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_Hc2 zenon_Hc1 zenon_Hc0 zenon_H1ed zenon_H83 zenon_H82 zenon_H84 zenon_H98 zenon_H99 zenon_H9a zenon_Hca zenon_He8. % 0.99/1.19 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_H20. zenon_intro zenon_Hbe. % 0.99/1.19 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hbf. % 0.99/1.19 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Hb5. zenon_intro zenon_Hb6. % 0.99/1.19 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hee ]. % 0.99/1.19 apply (zenon_L52_); trivial. % 0.99/1.19 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_Hde | zenon_intro zenon_He9 ]. % 0.99/1.19 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H97 | zenon_intro zenon_Hcd ]. % 0.99/1.19 apply (zenon_L43_); trivial. % 0.99/1.19 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H69 | zenon_intro zenon_Ha2 ]. % 0.99/1.19 apply (zenon_L351_); trivial. % 0.99/1.19 apply (zenon_L49_); trivial. % 0.99/1.19 exact (zenon_He8 zenon_He9). % 0.99/1.19 (* end of lemma zenon_L352_ *) % 0.99/1.19 assert (zenon_L353_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a1697))) -> (~(c2_1 (a1697))) -> (~(c3_1 (a1697))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (~(c3_1 (a1648))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (~(hskp24)) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (~(hskp20)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(c0_1 (a1675))) -> (~(c1_1 (a1675))) -> (c2_1 (a1675)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/((hskp20)\/(hskp28))) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> (~(c1_1 (a1691))) -> (c2_1 (a1691)) -> (c3_1 (a1691)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> False). % 0.99/1.19 do 0 intro. intros zenon_H34 zenon_H61 zenon_Heb zenon_He8 zenon_H216 zenon_H217 zenon_H218 zenon_H1ed zenon_H84 zenon_H83 zenon_H82 zenon_H1a4 zenon_H1c6 zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_H233 zenon_H1b zenon_H192 zenon_H191 zenon_Hcf zenon_H232 zenon_H265 zenon_H229 zenon_H228 zenon_H227 zenon_H91 zenon_H95 zenon_H98 zenon_H99 zenon_H9a zenon_H24f zenon_H24d zenon_H161 zenon_H163 zenon_H162 zenon_Hc0 zenon_Hc1 zenon_Hc2 zenon_Hca zenon_H242 zenon_Hd0. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 0.99/1.19 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H8f | zenon_intro zenon_Hbd ]. % 0.99/1.19 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 0.99/1.19 apply (zenon_L299_); trivial. % 0.99/1.19 apply (zenon_L243_); trivial. % 0.99/1.19 apply (zenon_L352_); trivial. % 0.99/1.19 apply (zenon_L195_); trivial. % 0.99/1.19 (* end of lemma zenon_L353_ *) % 0.99/1.19 assert (zenon_L354_ : ((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(c3_1 (a1642))) -> (c0_1 (a1642)) -> (~(c2_1 (a1642))) -> ((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/((hskp20)\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c3_1 (a1648))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> (~(hskp15)) -> (~(hskp1)) -> ((hskp15)\/((hskp19)\/(hskp1))) -> False). % 0.99/1.20 do 0 intro. intros zenon_Hf8 zenon_H68 zenon_Hf2 zenon_H13e zenon_H13d zenon_H13c zenon_H222 zenon_Hd0 zenon_Hca zenon_Hb2 zenon_H162 zenon_H163 zenon_H161 zenon_H24d zenon_H24f zenon_H95 zenon_H265 zenon_Hcf zenon_H1c6 zenon_H1a4 zenon_H17b zenon_H17a zenon_H179 zenon_H82 zenon_H83 zenon_H84 zenon_H1ed zenon_He8 zenon_Heb zenon_H34 zenon_H242 zenon_H211 zenon_H227 zenon_H228 zenon_H229 zenon_H233 zenon_H192 zenon_H191 zenon_H232 zenon_H41 zenon_H1 zenon_H5b zenon_H5a zenon_H61 zenon_H65 zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_Hce zenon_H11 zenon_H5 zenon_H15. % 0.99/1.20 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_H20. zenon_intro zenon_Hf9. % 0.99/1.20 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H9a. zenon_intro zenon_Hfa. % 0.99/1.20 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_H98. zenon_intro zenon_H99. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 0.99/1.20 apply (zenon_L11_); trivial. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H20. zenon_intro zenon_H66. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H45. zenon_intro zenon_H67. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.99/1.20 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 0.99/1.20 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 0.99/1.20 apply (zenon_L298_); trivial. % 0.99/1.20 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H20. zenon_intro zenon_Hcb. % 0.99/1.20 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc1. zenon_intro zenon_Hcc. % 0.99/1.20 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc2. zenon_intro zenon_Hc0. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 0.99/1.20 apply (zenon_L233_); trivial. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H20. zenon_intro zenon_H220. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H216. zenon_intro zenon_H221. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H217. zenon_intro zenon_H218. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 0.99/1.20 apply (zenon_L353_); trivial. % 0.99/1.20 apply (zenon_L29_); trivial. % 0.99/1.20 apply (zenon_L277_); trivial. % 0.99/1.20 (* end of lemma zenon_L354_ *) % 0.99/1.20 assert (zenon_L355_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> False). % 0.99/1.20 do 0 intro. intros zenon_H288 zenon_H20 zenon_H289 zenon_H28a zenon_H28b. % 0.99/1.20 generalize (zenon_H288 (a1636)). zenon_intro zenon_H28c. % 0.99/1.20 apply (zenon_imply_s _ _ zenon_H28c); [ zenon_intro zenon_H1f | zenon_intro zenon_H28d ]. % 0.99/1.20 exact (zenon_H1f zenon_H20). % 0.99/1.20 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H28f | zenon_intro zenon_H28e ]. % 0.99/1.20 exact (zenon_H289 zenon_H28f). % 0.99/1.20 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H291 | zenon_intro zenon_H290 ]. % 0.99/1.20 exact (zenon_H28a zenon_H291). % 0.99/1.20 exact (zenon_H28b zenon_H290). % 0.99/1.20 (* end of lemma zenon_L355_ *) % 0.99/1.20 assert (zenon_L356_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (ndr1_0) -> (~(hskp2)) -> (~(hskp3)) -> False). % 0.99/1.20 do 0 intro. intros zenon_H292 zenon_H28b zenon_H28a zenon_H289 zenon_H20 zenon_H19d zenon_H105. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H288 | zenon_intro zenon_H293 ]. % 0.99/1.20 apply (zenon_L355_); trivial. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H19e | zenon_intro zenon_H106 ]. % 0.99/1.20 exact (zenon_H19d zenon_H19e). % 0.99/1.20 exact (zenon_H105 zenon_H106). % 0.99/1.20 (* end of lemma zenon_L356_ *) % 0.99/1.20 assert (zenon_L357_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> (~(hskp18)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp11))) -> (~(hskp11)) -> (~(hskp7)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> (~(c0_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c3_1 (a1644))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> False). % 0.99/1.20 do 0 intro. intros zenon_H68 zenon_H119 zenon_H11b zenon_Hce zenon_H61 zenon_H172 zenon_H2d zenon_H9 zenon_H95 zenon_Hb2 zenon_H170 zenon_Hcf zenon_Hd0 zenon_Hd5 zenon_Hd6 zenon_Hd7 zenon_He8 zenon_Heb zenon_Hf2. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 0.99/1.20 apply (zenon_L309_); trivial. % 0.99/1.20 apply (zenon_L67_); trivial. % 0.99/1.20 (* end of lemma zenon_L357_ *) % 0.99/1.20 assert (zenon_L358_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> (~(hskp7)) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> (~(c0_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c3_1 (a1644))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> False). % 0.99/1.20 do 0 intro. intros zenon_H15a zenon_H136 zenon_H132 zenon_H170 zenon_H9 zenon_H2d zenon_H172 zenon_H61 zenon_H11b zenon_H68 zenon_Hce zenon_Hcf zenon_H112 zenon_Hb2 zenon_H229 zenon_H228 zenon_H227 zenon_H95 zenon_Hd0 zenon_Hd5 zenon_Hd6 zenon_Hd7 zenon_He8 zenon_Heb zenon_Hf2. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 0.99/1.20 apply (zenon_L227_); trivial. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H119 | zenon_intro zenon_H131 ]. % 0.99/1.20 apply (zenon_L357_); trivial. % 0.99/1.20 apply (zenon_L70_); trivial. % 0.99/1.20 (* end of lemma zenon_L358_ *) % 0.99/1.20 assert (zenon_L359_ : ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (c3_1 (a1646)) -> (c2_1 (a1646)) -> (c1_1 (a1646)) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16)))))) -> (ndr1_0) -> (~(hskp22)) -> False). % 0.99/1.20 do 0 intro. intros zenon_H211 zenon_H13e zenon_H13d zenon_H13c zenon_H1ae zenon_H5e zenon_H4f zenon_H4e zenon_H21 zenon_H20 zenon_H20f. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H43 | zenon_intro zenon_H212 ]. % 0.99/1.20 apply (zenon_L186_); trivial. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H210 ]. % 0.99/1.20 apply (zenon_L161_); trivial. % 0.99/1.20 exact (zenon_H20f zenon_H210). % 0.99/1.20 (* end of lemma zenon_L359_ *) % 0.99/1.20 assert (zenon_L360_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> (~(hskp22)) -> (ndr1_0) -> (c1_1 (a1646)) -> (c2_1 (a1646)) -> (c3_1 (a1646)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(hskp29)) -> (~(hskp5)) -> False). % 0.99/1.20 do 0 intro. intros zenon_H294 zenon_H20f zenon_H20 zenon_H4e zenon_H4f zenon_H5e zenon_H1ae zenon_H13c zenon_H13d zenon_H13e zenon_H211 zenon_H230 zenon_H3. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H21 | zenon_intro zenon_H295 ]. % 0.99/1.20 apply (zenon_L359_); trivial. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H231 | zenon_intro zenon_H4 ]. % 0.99/1.20 exact (zenon_H230 zenon_H231). % 0.99/1.20 exact (zenon_H3 zenon_H4). % 0.99/1.20 (* end of lemma zenon_L360_ *) % 0.99/1.20 assert (zenon_L361_ : (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))) -> (ndr1_0) -> (~(c0_1 (a1650))) -> (forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> False). % 0.99/1.20 do 0 intro. intros zenon_H11d zenon_H20 zenon_H13c zenon_H43 zenon_H13d zenon_H13e. % 0.99/1.20 generalize (zenon_H11d (a1650)). zenon_intro zenon_H296. % 0.99/1.20 apply (zenon_imply_s _ _ zenon_H296); [ zenon_intro zenon_H1f | zenon_intro zenon_H297 ]. % 0.99/1.20 exact (zenon_H1f zenon_H20). % 0.99/1.20 apply (zenon_or_s _ _ zenon_H297); [ zenon_intro zenon_H142 | zenon_intro zenon_H298 ]. % 0.99/1.20 exact (zenon_H13c zenon_H142). % 0.99/1.20 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H201 | zenon_intro zenon_H143 ]. % 0.99/1.20 apply (zenon_L185_); trivial. % 0.99/1.20 exact (zenon_H143 zenon_H13e). % 0.99/1.20 (* end of lemma zenon_L361_ *) % 0.99/1.20 assert (zenon_L362_ : ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> (~(hskp21)) -> (~(hskp20)) -> (c0_1 (a1712)) -> (c2_1 (a1712)) -> (c3_1 (a1712)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))) -> (~(hskp18)) -> False). % 0.99/1.20 do 0 intro. intros zenon_H11b zenon_Hb0 zenon_H91 zenon_Ha1 zenon_Ha3 zenon_Ha4 zenon_Hb2 zenon_H13e zenon_H13d zenon_H13c zenon_H20 zenon_H11d zenon_H119. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H11c ]. % 0.99/1.20 apply (zenon_L46_); trivial. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H43 | zenon_intro zenon_H11a ]. % 0.99/1.20 apply (zenon_L361_); trivial. % 0.99/1.20 exact (zenon_H119 zenon_H11a). % 0.99/1.20 (* end of lemma zenon_L362_ *) % 0.99/1.20 assert (zenon_L363_ : ((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(hskp21)) -> (~(hskp18)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (~(hskp22)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (~(hskp27)) -> (~(hskp20)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> False). % 0.99/1.20 do 0 intro. intros zenon_H23f zenon_Hcf zenon_H299 zenon_Hb2 zenon_Hb0 zenon_H119 zenon_H11b zenon_H13c zenon_H13d zenon_H13e zenon_H20f zenon_H211 zenon_H28b zenon_H28a zenon_H289 zenon_H8f zenon_H91 zenon_H95. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H20. zenon_intro zenon_H240. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H236. zenon_intro zenon_H241. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H237. zenon_intro zenon_H238. % 0.99/1.20 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H93 | zenon_intro zenon_Hd1 ]. % 0.99/1.20 apply (zenon_L42_); trivial. % 0.99/1.20 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H20. zenon_intro zenon_Hd2. % 0.99/1.20 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Ha1. zenon_intro zenon_Hd3. % 0.99/1.20 apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_Ha3. zenon_intro zenon_Ha4. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 0.99/1.20 apply (zenon_L355_); trivial. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 0.99/1.20 apply (zenon_L262_); trivial. % 0.99/1.20 apply (zenon_L362_); trivial. % 0.99/1.20 (* end of lemma zenon_L363_ *) % 0.99/1.20 assert (zenon_L364_ : ((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(hskp20)) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> (~(hskp18)) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(hskp21)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> False). % 0.99/1.20 do 0 intro. intros zenon_H21f zenon_Hd0 zenon_H95 zenon_H91 zenon_H289 zenon_H28a zenon_H28b zenon_H11b zenon_H119 zenon_H13e zenon_H13d zenon_H13c zenon_Hb0 zenon_Hb2 zenon_H299 zenon_Hcf. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H20. zenon_intro zenon_H220. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H216. zenon_intro zenon_H221. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H217. zenon_intro zenon_H218. % 0.99/1.20 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H8f | zenon_intro zenon_Hbd ]. % 0.99/1.20 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H93 | zenon_intro zenon_Hd1 ]. % 0.99/1.20 apply (zenon_L42_); trivial. % 0.99/1.20 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H20. zenon_intro zenon_Hd2. % 0.99/1.20 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Ha1. zenon_intro zenon_Hd3. % 0.99/1.20 apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_Ha3. zenon_intro zenon_Ha4. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 0.99/1.20 apply (zenon_L355_); trivial. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 0.99/1.20 apply (zenon_L194_); trivial. % 0.99/1.20 apply (zenon_L362_); trivial. % 0.99/1.20 apply (zenon_L48_); trivial. % 0.99/1.20 (* end of lemma zenon_L364_ *) % 0.99/1.20 assert (zenon_L365_ : ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> (c3_1 (a1691)) -> (c2_1 (a1691)) -> (~(c1_1 (a1691))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))) -> (~(hskp18)) -> False). % 0.99/1.20 do 0 intro. intros zenon_H11b zenon_Hc2 zenon_Hc1 zenon_Hc0 zenon_H13e zenon_H13d zenon_H13c zenon_H20 zenon_H11d zenon_H119. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H11c ]. % 0.99/1.20 apply (zenon_L49_); trivial. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H43 | zenon_intro zenon_H11a ]. % 0.99/1.20 apply (zenon_L361_); trivial. % 0.99/1.20 exact (zenon_H119 zenon_H11a). % 0.99/1.20 (* end of lemma zenon_L365_ *) % 0.99/1.20 assert (zenon_L366_ : ((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (~(hskp22)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> (c3_1 (a1691)) -> (c2_1 (a1691)) -> (~(c1_1 (a1691))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(hskp18)) -> False). % 0.99/1.20 do 0 intro. intros zenon_H23f zenon_H299 zenon_H28b zenon_H28a zenon_H289 zenon_H20f zenon_H211 zenon_H11b zenon_Hc2 zenon_Hc1 zenon_Hc0 zenon_H13e zenon_H13d zenon_H13c zenon_H119. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H20. zenon_intro zenon_H240. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H236. zenon_intro zenon_H241. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H237. zenon_intro zenon_H238. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 0.99/1.20 apply (zenon_L355_); trivial. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 0.99/1.20 apply (zenon_L262_); trivial. % 0.99/1.20 apply (zenon_L365_); trivial. % 0.99/1.20 (* end of lemma zenon_L366_ *) % 0.99/1.20 assert (zenon_L367_ : ((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> (c3_1 (a1691)) -> (c2_1 (a1691)) -> (~(c1_1 (a1691))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(hskp18)) -> False). % 0.99/1.20 do 0 intro. intros zenon_H21f zenon_H299 zenon_H28b zenon_H28a zenon_H289 zenon_H11b zenon_Hc2 zenon_Hc1 zenon_Hc0 zenon_H13e zenon_H13d zenon_H13c zenon_H119. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H20. zenon_intro zenon_H220. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H216. zenon_intro zenon_H221. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H217. zenon_intro zenon_H218. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 0.99/1.20 apply (zenon_L355_); trivial. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 0.99/1.20 apply (zenon_L194_); trivial. % 0.99/1.20 apply (zenon_L365_); trivial. % 0.99/1.20 (* end of lemma zenon_L367_ *) % 0.99/1.20 assert (zenon_L368_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(hskp20)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(hskp18)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> False). % 0.99/1.20 do 0 intro. intros zenon_Hce zenon_Hd0 zenon_Hcf zenon_H170 zenon_H13 zenon_Hb2 zenon_H91 zenon_H95 zenon_H299 zenon_H119 zenon_H11b zenon_H211 zenon_H13e zenon_H13d zenon_H13c zenon_H3 zenon_H294 zenon_H28b zenon_H28a zenon_H289 zenon_H242 zenon_H61 zenon_H222. % 0.99/1.20 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 0.99/1.20 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H8f | zenon_intro zenon_Hbd ]. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 0.99/1.20 apply (zenon_L89_); trivial. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 0.99/1.20 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H93 | zenon_intro zenon_Hd1 ]. % 0.99/1.20 apply (zenon_L42_); trivial. % 0.99/1.20 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H20. zenon_intro zenon_Hd2. % 0.99/1.20 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Ha1. zenon_intro zenon_Hd3. % 0.99/1.20 apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_Ha3. zenon_intro zenon_Ha4. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 0.99/1.20 apply (zenon_L355_); trivial. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 0.99/1.20 apply (zenon_L360_); trivial. % 0.99/1.20 apply (zenon_L362_); trivial. % 0.99/1.20 apply (zenon_L363_); trivial. % 0.99/1.20 apply (zenon_L48_); trivial. % 0.99/1.20 apply (zenon_L364_); trivial. % 0.99/1.20 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H20. zenon_intro zenon_Hcb. % 0.99/1.20 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc1. zenon_intro zenon_Hcc. % 0.99/1.20 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc2. zenon_intro zenon_Hc0. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 0.99/1.20 apply (zenon_L91_); trivial. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 0.99/1.20 apply (zenon_L355_); trivial. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 0.99/1.20 apply (zenon_L360_); trivial. % 0.99/1.20 apply (zenon_L365_); trivial. % 0.99/1.20 apply (zenon_L366_); trivial. % 0.99/1.20 apply (zenon_L367_); trivial. % 0.99/1.20 (* end of lemma zenon_L368_ *) % 0.99/1.20 assert (zenon_L369_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(hskp18)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> (~(c0_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c3_1 (a1644))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> False). % 0.99/1.20 do 0 intro. intros zenon_H68 zenon_Hce zenon_Hd0 zenon_Hcf zenon_H170 zenon_Hb2 zenon_H95 zenon_H299 zenon_H119 zenon_H11b zenon_H211 zenon_H13e zenon_H13d zenon_H13c zenon_H3 zenon_H294 zenon_H28b zenon_H28a zenon_H289 zenon_H242 zenon_H61 zenon_H222 zenon_Hd5 zenon_Hd6 zenon_Hd7 zenon_He8 zenon_Heb zenon_Hf2. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 0.99/1.20 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 0.99/1.20 apply (zenon_L368_); trivial. % 0.99/1.20 apply (zenon_L55_); trivial. % 0.99/1.20 apply (zenon_L67_); trivial. % 0.99/1.20 (* end of lemma zenon_L369_ *) % 0.99/1.20 assert (zenon_L370_ : ((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (~(hskp22)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(c0_1 (a1680))) -> (~(c2_1 (a1680))) -> (c1_1 (a1680)) -> False). % 0.99/1.20 do 0 intro. intros zenon_H23f zenon_H299 zenon_H28b zenon_H28a zenon_H289 zenon_H20f zenon_H13c zenon_H13d zenon_H13e zenon_H211 zenon_H11e zenon_H11f zenon_H120. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H20. zenon_intro zenon_H240. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H236. zenon_intro zenon_H241. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H237. zenon_intro zenon_H238. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 0.99/1.20 apply (zenon_L355_); trivial. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 0.99/1.20 apply (zenon_L262_); trivial. % 0.99/1.20 apply (zenon_L68_); trivial. % 0.99/1.20 (* end of lemma zenon_L370_ *) % 0.99/1.20 assert (zenon_L371_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (c1_1 (a1680)) -> (~(c2_1 (a1680))) -> (~(c0_1 (a1680))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (~(hskp22)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(hskp20)) -> (~(hskp27)) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (~(hskp25)) -> (~(hskp28)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> False). % 0.99/1.20 do 0 intro. intros zenon_H242 zenon_H299 zenon_H120 zenon_H11f zenon_H11e zenon_H13c zenon_H13d zenon_H13e zenon_H20f zenon_H211 zenon_H28b zenon_H28a zenon_H289 zenon_H95 zenon_H91 zenon_H8f zenon_H227 zenon_H228 zenon_H229 zenon_H265 zenon_H19 zenon_H3f zenon_H232 zenon_Hcf. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 0.99/1.20 apply (zenon_L295_); trivial. % 0.99/1.20 apply (zenon_L370_); trivial. % 0.99/1.20 (* end of lemma zenon_L371_ *) % 0.99/1.20 assert (zenon_L372_ : ((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (~(hskp22)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(c0_1 (a1680))) -> (~(c2_1 (a1680))) -> (c1_1 (a1680)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> False). % 0.99/1.20 do 0 intro. intros zenon_H59 zenon_H242 zenon_H289 zenon_H28a zenon_H28b zenon_H294 zenon_H3 zenon_H13c zenon_H13d zenon_H13e zenon_H20f zenon_H211 zenon_H11e zenon_H11f zenon_H120 zenon_H299. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 0.99/1.20 apply (zenon_L355_); trivial. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 0.99/1.20 apply (zenon_L360_); trivial. % 0.99/1.20 apply (zenon_L68_); trivial. % 0.99/1.20 apply (zenon_L370_); trivial. % 0.99/1.20 (* end of lemma zenon_L372_ *) % 0.99/1.20 assert (zenon_L373_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (~(hskp25)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (~(hskp27)) -> (~(hskp20)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(hskp22)) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(c0_1 (a1680))) -> (~(c2_1 (a1680))) -> (c1_1 (a1680)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> False). % 0.99/1.20 do 0 intro. intros zenon_H61 zenon_H294 zenon_H3 zenon_Hcf zenon_H232 zenon_H19 zenon_H265 zenon_H229 zenon_H228 zenon_H227 zenon_H8f zenon_H91 zenon_H95 zenon_H289 zenon_H28a zenon_H28b zenon_H211 zenon_H20f zenon_H13e zenon_H13d zenon_H13c zenon_H11e zenon_H11f zenon_H120 zenon_H299 zenon_H242. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 0.99/1.20 apply (zenon_L371_); trivial. % 0.99/1.20 apply (zenon_L372_); trivial. % 0.99/1.20 (* end of lemma zenon_L373_ *) % 0.99/1.20 assert (zenon_L374_ : ((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/(hskp7))) -> (~(hskp10)) -> (~(hskp16)) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (~(hskp7)) -> False). % 0.99/1.20 do 0 intro. intros zenon_H2f zenon_H187 zenon_H189 zenon_H73 zenon_H228 zenon_H229 zenon_H1d1 zenon_H9. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H20. zenon_intro zenon_H31. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H23. zenon_intro zenon_H32. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H24. zenon_intro zenon_H22. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H21 | zenon_intro zenon_H188 ]. % 0.99/1.20 apply (zenon_L17_); trivial. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_Hfb | zenon_intro zenon_Ha ]. % 0.99/1.20 apply (zenon_L254_); trivial. % 0.99/1.20 exact (zenon_H9 zenon_Ha). % 0.99/1.20 (* end of lemma zenon_L374_ *) % 0.99/1.20 assert (zenon_L375_ : ((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (~(c0_1 (a1680))) -> (~(c2_1 (a1680))) -> (c1_1 (a1680)) -> False). % 0.99/1.20 do 0 intro. intros zenon_H21f zenon_H299 zenon_H28b zenon_H28a zenon_H289 zenon_H11e zenon_H11f zenon_H120. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H20. zenon_intro zenon_H220. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H216. zenon_intro zenon_H221. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H217. zenon_intro zenon_H218. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 0.99/1.20 apply (zenon_L355_); trivial. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 0.99/1.20 apply (zenon_L194_); trivial. % 0.99/1.20 apply (zenon_L68_); trivial. % 0.99/1.20 (* end of lemma zenon_L375_ *) % 0.99/1.20 assert (zenon_L376_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp16)) -> (~(hskp10)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (~(hskp20)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(c0_1 (a1680))) -> (~(c2_1 (a1680))) -> (c1_1 (a1680)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> False). % 0.99/1.20 do 0 intro. intros zenon_Hce zenon_H170 zenon_H13 zenon_H34 zenon_H187 zenon_H9 zenon_H73 zenon_H189 zenon_H1d1 zenon_H61 zenon_H294 zenon_H3 zenon_Hcf zenon_H232 zenon_H265 zenon_H229 zenon_H228 zenon_H227 zenon_H91 zenon_H95 zenon_H289 zenon_H28a zenon_H28b zenon_H211 zenon_H13e zenon_H13d zenon_H13c zenon_H11e zenon_H11f zenon_H120 zenon_H299 zenon_H242 zenon_Hb2 zenon_Hd0 zenon_H222. % 0.99/1.20 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 0.99/1.20 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H8f | zenon_intro zenon_Hbd ]. % 0.99/1.20 apply (zenon_L373_); trivial. % 0.99/1.20 apply (zenon_L48_); trivial. % 0.99/1.20 apply (zenon_L374_); trivial. % 0.99/1.20 apply (zenon_L375_); trivial. % 0.99/1.20 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H20. zenon_intro zenon_Hcb. % 0.99/1.20 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc1. zenon_intro zenon_Hcc. % 0.99/1.20 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc2. zenon_intro zenon_Hc0. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 0.99/1.20 apply (zenon_L91_); trivial. % 0.99/1.20 apply (zenon_L372_); trivial. % 0.99/1.20 apply (zenon_L375_); trivial. % 0.99/1.20 (* end of lemma zenon_L376_ *) % 0.99/1.20 assert (zenon_L377_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (c1_1 (a1680)) -> (~(c2_1 (a1680))) -> (~(c0_1 (a1680))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (~(hskp10)) -> (~(hskp16)) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/(hskp7))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> (~(hskp19)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> False). % 0.99/1.20 do 0 intro. intros zenon_Hf2 zenon_Heb zenon_He8 zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_H222 zenon_Hd0 zenon_Hb2 zenon_H242 zenon_H299 zenon_H120 zenon_H11f zenon_H11e zenon_H13c zenon_H13d zenon_H13e zenon_H211 zenon_H28b zenon_H28a zenon_H289 zenon_H95 zenon_H227 zenon_H228 zenon_H229 zenon_H265 zenon_H232 zenon_Hcf zenon_H3 zenon_H294 zenon_H61 zenon_H1d1 zenon_H189 zenon_H73 zenon_H9 zenon_H187 zenon_H34 zenon_H13 zenon_H170 zenon_Hce. % 0.99/1.20 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 0.99/1.20 apply (zenon_L376_); trivial. % 0.99/1.20 apply (zenon_L55_); trivial. % 0.99/1.20 (* end of lemma zenon_L377_ *) % 0.99/1.20 assert (zenon_L378_ : ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c2_1 (a1682)) -> (c1_1 (a1682)) -> (~(c3_1 (a1682))) -> (c3_1 (a1646)) -> (c2_1 (a1646)) -> (c1_1 (a1646)) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16)))))) -> (ndr1_0) -> (~(hskp22)) -> False). % 0.99/1.20 do 0 intro. intros zenon_H211 zenon_H46 zenon_H45 zenon_H44 zenon_H5e zenon_H4f zenon_H4e zenon_H21 zenon_H20 zenon_H20f. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H43 | zenon_intro zenon_H212 ]. % 0.99/1.20 apply (zenon_L25_); trivial. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H210 ]. % 0.99/1.20 apply (zenon_L161_); trivial. % 0.99/1.20 exact (zenon_H20f zenon_H210). % 0.99/1.20 (* end of lemma zenon_L378_ *) % 0.99/1.20 assert (zenon_L379_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> (~(hskp22)) -> (ndr1_0) -> (c1_1 (a1646)) -> (c2_1 (a1646)) -> (c3_1 (a1646)) -> (~(c3_1 (a1682))) -> (c1_1 (a1682)) -> (c2_1 (a1682)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(hskp29)) -> (~(hskp5)) -> False). % 0.99/1.20 do 0 intro. intros zenon_H294 zenon_H20f zenon_H20 zenon_H4e zenon_H4f zenon_H5e zenon_H44 zenon_H45 zenon_H46 zenon_H211 zenon_H230 zenon_H3. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H21 | zenon_intro zenon_H295 ]. % 0.99/1.20 apply (zenon_L378_); trivial. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H231 | zenon_intro zenon_H4 ]. % 0.99/1.20 exact (zenon_H230 zenon_H231). % 0.99/1.20 exact (zenon_H3 zenon_H4). % 0.99/1.20 (* end of lemma zenon_L379_ *) % 0.99/1.20 assert (zenon_L380_ : ((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (c1_1 (a1680)) -> (~(c2_1 (a1680))) -> (~(c0_1 (a1680))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(hskp22)) -> (c2_1 (a1682)) -> (c1_1 (a1682)) -> (~(c3_1 (a1682))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> False). % 0.99/1.20 do 0 intro. intros zenon_H59 zenon_H242 zenon_H299 zenon_H120 zenon_H11f zenon_H11e zenon_H13c zenon_H13d zenon_H13e zenon_H28b zenon_H28a zenon_H289 zenon_H211 zenon_H20f zenon_H46 zenon_H45 zenon_H44 zenon_H3 zenon_H294. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 0.99/1.20 apply (zenon_L379_); trivial. % 0.99/1.20 apply (zenon_L370_); trivial. % 0.99/1.20 (* end of lemma zenon_L380_ *) % 0.99/1.20 assert (zenon_L381_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> (c2_1 (a1682)) -> (c1_1 (a1682)) -> (~(c3_1 (a1682))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (~(hskp25)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (~(hskp27)) -> (~(hskp20)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(hskp22)) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(c0_1 (a1680))) -> (~(c2_1 (a1680))) -> (c1_1 (a1680)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> False). % 0.99/1.20 do 0 intro. intros zenon_H61 zenon_H46 zenon_H45 zenon_H44 zenon_H3 zenon_H294 zenon_Hcf zenon_H232 zenon_H19 zenon_H265 zenon_H229 zenon_H228 zenon_H227 zenon_H8f zenon_H91 zenon_H95 zenon_H289 zenon_H28a zenon_H28b zenon_H211 zenon_H20f zenon_H13e zenon_H13d zenon_H13c zenon_H11e zenon_H11f zenon_H120 zenon_H299 zenon_H242. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 0.99/1.20 apply (zenon_L371_); trivial. % 0.99/1.20 apply (zenon_L380_); trivial. % 0.99/1.20 (* end of lemma zenon_L381_ *) % 0.99/1.20 assert (zenon_L382_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(hskp21)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (c1_1 (a1680)) -> (~(c2_1 (a1680))) -> (~(c0_1 (a1680))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (~(hskp22)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(hskp20)) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (~(hskp25)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a1682))) -> (c1_1 (a1682)) -> (c2_1 (a1682)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> False). % 0.99/1.20 do 0 intro. intros zenon_Hd0 zenon_Hb2 zenon_Hb0 zenon_H242 zenon_H299 zenon_H120 zenon_H11f zenon_H11e zenon_H13c zenon_H13d zenon_H13e zenon_H20f zenon_H211 zenon_H28b zenon_H28a zenon_H289 zenon_H95 zenon_H91 zenon_H227 zenon_H228 zenon_H229 zenon_H265 zenon_H19 zenon_H232 zenon_Hcf zenon_H294 zenon_H3 zenon_H44 zenon_H45 zenon_H46 zenon_H61. % 0.99/1.20 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H8f | zenon_intro zenon_Hbd ]. % 0.99/1.20 apply (zenon_L381_); trivial. % 0.99/1.20 apply (zenon_L48_); trivial. % 0.99/1.20 (* end of lemma zenon_L382_ *) % 0.99/1.20 assert (zenon_L383_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (c2_1 (a1691)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7)))))) -> (~(c1_1 (a1691))) -> (ndr1_0) -> (~(hskp29)) -> False). % 0.99/1.20 do 0 intro. intros zenon_H232 zenon_H229 zenon_H228 zenon_H227 zenon_Hc1 zenon_H97 zenon_Hc0 zenon_H20 zenon_H230. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H109 | zenon_intro zenon_H234 ]. % 0.99/1.20 apply (zenon_L223_); trivial. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H77 | zenon_intro zenon_H231 ]. % 0.99/1.20 apply (zenon_L166_); trivial. % 0.99/1.20 exact (zenon_H230 zenon_H231). % 0.99/1.20 (* end of lemma zenon_L383_ *) % 0.99/1.20 assert (zenon_L384_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((hskp7)\/(hskp8))) -> (~(hskp29)) -> (ndr1_0) -> (~(c1_1 (a1691))) -> (c2_1 (a1691)) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (~(hskp7)) -> (~(hskp8)) -> False). % 0.99/1.20 do 0 intro. intros zenon_H18f zenon_H230 zenon_H20 zenon_Hc0 zenon_Hc1 zenon_H227 zenon_H228 zenon_H229 zenon_H232 zenon_H9 zenon_H18d. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H190 ]. % 0.99/1.20 apply (zenon_L383_); trivial. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_Ha | zenon_intro zenon_H18e ]. % 0.99/1.20 exact (zenon_H9 zenon_Ha). % 0.99/1.20 exact (zenon_H18d zenon_H18e). % 0.99/1.20 (* end of lemma zenon_L384_ *) % 0.99/1.20 assert (zenon_L385_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((hskp7)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp16)) -> (~(hskp10)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> (c2_1 (a1682)) -> (c1_1 (a1682)) -> (~(c3_1 (a1682))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (~(hskp20)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(c0_1 (a1680))) -> (~(c2_1 (a1680))) -> (c1_1 (a1680)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> False). % 0.99/1.20 do 0 intro. intros zenon_Hce zenon_H18f zenon_H18d zenon_H34 zenon_H187 zenon_H9 zenon_H73 zenon_H189 zenon_H1d1 zenon_H61 zenon_H46 zenon_H45 zenon_H44 zenon_H3 zenon_H294 zenon_Hcf zenon_H232 zenon_H265 zenon_H229 zenon_H228 zenon_H227 zenon_H91 zenon_H95 zenon_H289 zenon_H28a zenon_H28b zenon_H211 zenon_H13e zenon_H13d zenon_H13c zenon_H11e zenon_H11f zenon_H120 zenon_H299 zenon_H242 zenon_Hb2 zenon_Hd0 zenon_H222. % 0.99/1.20 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 0.99/1.20 apply (zenon_L382_); trivial. % 0.99/1.20 apply (zenon_L374_); trivial. % 0.99/1.20 apply (zenon_L375_); trivial. % 0.99/1.20 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H20. zenon_intro zenon_Hcb. % 0.99/1.20 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc1. zenon_intro zenon_Hcc. % 0.99/1.20 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc2. zenon_intro zenon_Hc0. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 0.99/1.20 apply (zenon_L384_); trivial. % 0.99/1.20 apply (zenon_L231_); trivial. % 0.99/1.20 apply (zenon_L375_); trivial. % 0.99/1.20 (* end of lemma zenon_L385_ *) % 0.99/1.20 assert (zenon_L386_ : ((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c2_1 (a1667)) -> (c0_1 (a1667)) -> (~(c1_1 (a1667))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> False). % 0.99/1.20 do 0 intro. intros zenon_H131 zenon_H222 zenon_H232 zenon_H7a zenon_H79 zenon_H78 zenon_H229 zenon_H228 zenon_H227 zenon_H289 zenon_H28a zenon_H28b zenon_H211 zenon_H13e zenon_H13d zenon_H13c zenon_H299 zenon_H242. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H20. zenon_intro zenon_H133. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H120. zenon_intro zenon_H134. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 0.99/1.20 apply (zenon_L256_); trivial. % 0.99/1.20 apply (zenon_L370_); trivial. % 0.99/1.20 apply (zenon_L375_); trivial. % 0.99/1.20 (* end of lemma zenon_L386_ *) % 0.99/1.20 assert (zenon_L387_ : ((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> False). % 0.99/1.20 do 0 intro. intros zenon_Hf5 zenon_H136 zenon_H232 zenon_H229 zenon_H228 zenon_H227 zenon_Hf2 zenon_Heb zenon_He8 zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_H222 zenon_H61 zenon_H242 zenon_H289 zenon_H28a zenon_H28b zenon_H294 zenon_H3 zenon_H13c zenon_H13d zenon_H13e zenon_H211 zenon_H11b zenon_H299 zenon_H95 zenon_Hb2 zenon_H170 zenon_Hcf zenon_Hd0 zenon_Hce zenon_H68. % 0.99/1.20 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_H20. zenon_intro zenon_Hf6. % 0.99/1.20 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H79. zenon_intro zenon_Hf7. % 0.99/1.20 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H7a. zenon_intro zenon_H78. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H119 | zenon_intro zenon_H131 ]. % 0.99/1.20 apply (zenon_L369_); trivial. % 0.99/1.20 apply (zenon_L386_); trivial. % 0.99/1.20 (* end of lemma zenon_L387_ *) % 0.99/1.20 assert (zenon_L388_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (c1_1 (a1680)) -> (~(c2_1 (a1680))) -> (~(c0_1 (a1680))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (~(hskp22)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (ndr1_0) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (~(hskp24)) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> False). % 0.99/1.20 do 0 intro. intros zenon_H242 zenon_H299 zenon_H120 zenon_H11f zenon_H11e zenon_H13c zenon_H13d zenon_H13e zenon_H20f zenon_H211 zenon_H28b zenon_H28a zenon_H289 zenon_H20 zenon_H227 zenon_H228 zenon_H229 zenon_H233 zenon_H1b zenon_H192 zenon_H191 zenon_H232. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 0.99/1.20 apply (zenon_L229_); trivial. % 0.99/1.20 apply (zenon_L370_); trivial. % 0.99/1.20 (* end of lemma zenon_L388_ *) % 0.99/1.20 assert (zenon_L389_ : ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (c1_1 (a1646)) -> (c2_1 (a1646)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (c3_1 (a1701)) -> (~(c1_1 (a1701))) -> (~(c0_1 (a1701))) -> (ndr1_0) -> False). % 0.99/1.20 do 0 intro. intros zenon_H5a zenon_H1ae zenon_H13c zenon_H13d zenon_H13e zenon_H4e zenon_H4f zenon_H5b zenon_H38 zenon_H37 zenon_H36 zenon_H20. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H21 ]. % 0.99/1.20 apply (zenon_L22_); trivial. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H35 | zenon_intro zenon_H5f ]. % 0.99/1.20 apply (zenon_L22_); trivial. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H43 | zenon_intro zenon_H56 ]. % 0.99/1.20 apply (zenon_L186_); trivial. % 0.99/1.20 apply (zenon_L27_); trivial. % 0.99/1.20 (* end of lemma zenon_L389_ *) % 0.99/1.20 assert (zenon_L390_ : ((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (~(c0_1 (a1701))) -> (~(c1_1 (a1701))) -> (c3_1 (a1701)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c0_1 (a1680))) -> (~(c2_1 (a1680))) -> (c1_1 (a1680)) -> False). % 0.99/1.20 do 0 intro. intros zenon_H59 zenon_H299 zenon_H28b zenon_H28a zenon_H289 zenon_H36 zenon_H37 zenon_H38 zenon_H5b zenon_H13e zenon_H13d zenon_H13c zenon_H5a zenon_H11e zenon_H11f zenon_H120. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 0.99/1.20 apply (zenon_L355_); trivial. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 0.99/1.20 apply (zenon_L389_); trivial. % 0.99/1.20 apply (zenon_L68_); trivial. % 0.99/1.20 (* end of lemma zenon_L390_ *) % 0.99/1.20 assert (zenon_L391_ : ((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (c1_1 (a1680)) -> (~(c2_1 (a1680))) -> (~(c0_1 (a1680))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> False). % 0.99/1.20 do 0 intro. intros zenon_H60 zenon_H61 zenon_H299 zenon_H120 zenon_H11f zenon_H11e zenon_H5b zenon_H13e zenon_H13d zenon_H13c zenon_H5a zenon_H28b zenon_H28a zenon_H289 zenon_H1 zenon_H41. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H20. zenon_intro zenon_H62. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H38. zenon_intro zenon_H63. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H36. zenon_intro zenon_H37. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 0.99/1.20 apply (zenon_L24_); trivial. % 0.99/1.20 apply (zenon_L390_); trivial. % 0.99/1.20 (* end of lemma zenon_L391_ *) % 0.99/1.20 assert (zenon_L392_ : ((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> False). % 0.99/1.20 do 0 intro. intros zenon_H131 zenon_H222 zenon_H242 zenon_H299 zenon_H13c zenon_H13d zenon_H13e zenon_H211 zenon_H28b zenon_H28a zenon_H289 zenon_H227 zenon_H228 zenon_H229 zenon_H233 zenon_H192 zenon_H191 zenon_H232 zenon_H41 zenon_H1 zenon_H5a zenon_H5b zenon_H61 zenon_H65. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H20. zenon_intro zenon_H133. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H120. zenon_intro zenon_H134. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 0.99/1.20 apply (zenon_L388_); trivial. % 0.99/1.20 apply (zenon_L391_); trivial. % 0.99/1.20 apply (zenon_L375_); trivial. % 0.99/1.20 (* end of lemma zenon_L392_ *) % 0.99/1.20 assert (zenon_L393_ : ((ndr1_0)/\((c0_1 (a1648))/\((c2_1 (a1648))/\(~(c3_1 (a1648)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp11))) -> (~(hskp7)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> False). % 0.99/1.20 do 0 intro. intros zenon_H1a1 zenon_H159 zenon_H233 zenon_H232 zenon_H41 zenon_H1 zenon_H5a zenon_H5b zenon_H65 zenon_H222 zenon_H242 zenon_H289 zenon_H28a zenon_H28b zenon_H294 zenon_H3 zenon_H211 zenon_H299 zenon_Hf2 zenon_Heb zenon_He8 zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_Hd0 zenon_H95 zenon_H227 zenon_H228 zenon_H229 zenon_Hb2 zenon_H112 zenon_Hcf zenon_Hce zenon_H68 zenon_H11b zenon_H61 zenon_H172 zenon_H9 zenon_H170 zenon_H132 zenon_H136 zenon_H15a. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 0.99/1.20 apply (zenon_L358_); trivial. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H119 | zenon_intro zenon_H131 ]. % 0.99/1.20 apply (zenon_L369_); trivial. % 0.99/1.20 apply (zenon_L392_); trivial. % 0.99/1.20 (* end of lemma zenon_L393_ *) % 0.99/1.20 assert (zenon_L394_ : ((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (~(hskp11)) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> False). % 0.99/1.20 do 0 intro. intros zenon_H131 zenon_H299 zenon_H28b zenon_H28a zenon_H289 zenon_H2d zenon_H1ad zenon_H1af zenon_H1b0 zenon_H132. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H20. zenon_intro zenon_H133. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H120. zenon_intro zenon_H134. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 0.99/1.20 apply (zenon_L355_); trivial. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 0.99/1.20 apply (zenon_L126_); trivial. % 0.99/1.20 apply (zenon_L68_); trivial. % 0.99/1.20 (* end of lemma zenon_L394_ *) % 0.99/1.20 assert (zenon_L395_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(hskp7)) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> False). % 0.99/1.20 do 0 intro. intros zenon_H136 zenon_H299 zenon_H1ad zenon_H1af zenon_H1b0 zenon_H132 zenon_H28b zenon_H28a zenon_H289 zenon_Hf2 zenon_Heb zenon_He8 zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_Hd0 zenon_Hcf zenon_H170 zenon_Hb2 zenon_H95 zenon_H9 zenon_H2d zenon_H172 zenon_H61 zenon_Hce zenon_H11b zenon_H68. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H119 | zenon_intro zenon_H131 ]. % 0.99/1.20 apply (zenon_L357_); trivial. % 0.99/1.20 apply (zenon_L394_); trivial. % 0.99/1.20 (* end of lemma zenon_L395_ *) % 0.99/1.20 assert (zenon_L396_ : ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> (c1_1 (a1643)) -> (~(c2_1 (a1643))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (~(c3_1 (a1643))) -> (c2_1 (a1635)) -> (c1_1 (a1635)) -> (c0_1 (a1635)) -> (ndr1_0) -> (~(hskp28)) -> False). % 0.99/1.20 do 0 intro. intros zenon_H1ff zenon_H1b0 zenon_H1af zenon_H1ae zenon_H1ad zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H20 zenon_H3f. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H127 | zenon_intro zenon_H200 ]. % 0.99/1.20 apply (zenon_L125_); trivial. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H56 | zenon_intro zenon_H40 ]. % 0.99/1.20 apply (zenon_L47_); trivial. % 0.99/1.20 exact (zenon_H3f zenon_H40). % 0.99/1.20 (* end of lemma zenon_L396_ *) % 0.99/1.20 assert (zenon_L397_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (~(hskp28)) -> (c0_1 (a1635)) -> (c1_1 (a1635)) -> (c2_1 (a1635)) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> (ndr1_0) -> (~(c0_1 (a1680))) -> (~(c2_1 (a1680))) -> (c1_1 (a1680)) -> False). % 0.99/1.20 do 0 intro. intros zenon_H299 zenon_H28b zenon_H28a zenon_H289 zenon_H3f zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H1ad zenon_H1af zenon_H1b0 zenon_H1ff zenon_H20 zenon_H11e zenon_H11f zenon_H120. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 0.99/1.20 apply (zenon_L355_); trivial. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 0.99/1.20 apply (zenon_L396_); trivial. % 0.99/1.20 apply (zenon_L68_); trivial. % 0.99/1.20 (* end of lemma zenon_L397_ *) % 0.99/1.20 assert (zenon_L398_ : ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> (c1_1 (a1643)) -> (~(c2_1 (a1643))) -> (~(c3_1 (a1643))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (c1_1 (a1680)) -> (~(c2_1 (a1680))) -> (~(c0_1 (a1680))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(hskp20)) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a1682))) -> (c1_1 (a1682)) -> (c2_1 (a1682)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (~(hskp10)) -> (~(hskp16)) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/(hskp7))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> False). % 0.99/1.20 do 0 intro. intros zenon_H222 zenon_Hd0 zenon_H1ff zenon_H1b0 zenon_H1af zenon_H1ad zenon_H242 zenon_H299 zenon_H120 zenon_H11f zenon_H11e zenon_H13c zenon_H13d zenon_H13e zenon_H211 zenon_H28b zenon_H28a zenon_H289 zenon_H95 zenon_H91 zenon_H227 zenon_H228 zenon_H229 zenon_H265 zenon_H232 zenon_Hcf zenon_H294 zenon_H3 zenon_H44 zenon_H45 zenon_H46 zenon_H61 zenon_H1d1 zenon_H189 zenon_H73 zenon_H9 zenon_H187 zenon_H34. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 0.99/1.20 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H8f | zenon_intro zenon_Hbd ]. % 0.99/1.20 apply (zenon_L381_); trivial. % 0.99/1.20 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_H20. zenon_intro zenon_Hbe. % 0.99/1.20 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hbf. % 0.99/1.20 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Hb5. zenon_intro zenon_Hb6. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 0.99/1.20 apply (zenon_L397_); trivial. % 0.99/1.20 apply (zenon_L380_); trivial. % 0.99/1.20 apply (zenon_L374_); trivial. % 0.99/1.20 apply (zenon_L375_); trivial. % 0.99/1.20 (* end of lemma zenon_L398_ *) % 0.99/1.20 assert (zenon_L399_ : ((ndr1_0)/\((c0_1 (a1642))/\((~(c2_1 (a1642)))/\(~(c3_1 (a1642)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((c3_1 Y)\/(~(c0_1 Y))))))\/(hskp0))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (~(hskp0)) -> False). % 0.99/1.20 do 0 intro. intros zenon_H29b zenon_H29c zenon_H28b zenon_H28a zenon_H289 zenon_H1. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H20. zenon_intro zenon_H29d. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H163. zenon_intro zenon_H29e. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H161. zenon_intro zenon_H162. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_H288 | zenon_intro zenon_H29f ]. % 0.99/1.20 apply (zenon_L355_); trivial. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H160 | zenon_intro zenon_H2 ]. % 0.99/1.20 apply (zenon_L81_); trivial. % 0.99/1.20 exact (zenon_H1 zenon_H2). % 0.99/1.20 (* end of lemma zenon_L399_ *) % 0.99/1.20 assert (zenon_L400_ : ((hskp12)\/((hskp5)\/(hskp24))) -> (~(hskp12)) -> (~(hskp5)) -> (~(hskp24)) -> False). % 0.99/1.20 do 0 intro. intros zenon_H2a0 zenon_H17 zenon_H3 zenon_H1b. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H18 | zenon_intro zenon_H2a1 ]. % 0.99/1.20 exact (zenon_H17 zenon_H18). % 0.99/1.20 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H4 | zenon_intro zenon_H1c ]. % 0.99/1.20 exact (zenon_H3 zenon_H4). % 0.99/1.20 exact (zenon_H1b zenon_H1c). % 0.99/1.20 (* end of lemma zenon_L400_ *) % 0.99/1.20 assert (zenon_L401_ : ((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(hskp12)) -> (~(hskp5)) -> ((hskp12)\/((hskp5)\/(hskp24))) -> False). % 0.99/1.20 do 0 intro. intros zenon_Hea zenon_H65 zenon_Heb zenon_He8 zenon_H179 zenon_H17a zenon_H17b zenon_H5a zenon_H17 zenon_H3 zenon_H2a0. % 0.99/1.20 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H20. zenon_intro zenon_Hec. % 0.99/1.20 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He0. zenon_intro zenon_Hed. % 0.99/1.20 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_He1. zenon_intro zenon_Hdf. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 0.99/1.20 apply (zenon_L400_); trivial. % 0.99/1.20 apply (zenon_L96_); trivial. % 0.99/1.20 (* end of lemma zenon_L401_ *) % 0.99/1.20 assert (zenon_L402_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(hskp5)) -> ((hskp12)\/((hskp5)\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(hskp12)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> False). % 0.99/1.20 do 0 intro. intros zenon_Hf2 zenon_H65 zenon_Heb zenon_He8 zenon_H179 zenon_H17a zenon_H17b zenon_H5a zenon_H3 zenon_H2a0 zenon_Hd0 zenon_H95 zenon_H227 zenon_H228 zenon_H229 zenon_Hb2 zenon_H17 zenon_H112 zenon_Hcf zenon_Hce. % 0.99/1.20 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 0.99/1.20 apply (zenon_L226_); trivial. % 0.99/1.20 apply (zenon_L401_); trivial. % 0.99/1.20 (* end of lemma zenon_L402_ *) % 0.99/1.20 assert (zenon_L403_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> (~(hskp10)) -> (~(hskp11)) -> ((hskp10)\/((hskp18)\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((hskp12)\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> False). % 0.99/1.20 do 0 intro. intros zenon_H15a zenon_H136 zenon_H132 zenon_H189 zenon_H2d zenon_H18b zenon_Hce zenon_Hcf zenon_H112 zenon_Hb2 zenon_H229 zenon_H228 zenon_H227 zenon_H95 zenon_Hd0 zenon_H2a0 zenon_H3 zenon_H5a zenon_H17b zenon_H17a zenon_H179 zenon_He8 zenon_Heb zenon_H65 zenon_Hf2. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 0.99/1.20 apply (zenon_L402_); trivial. % 0.99/1.20 apply (zenon_L105_); trivial. % 0.99/1.20 (* end of lemma zenon_L403_ *) % 0.99/1.20 assert (zenon_L404_ : ((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp7)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(hskp16)) -> (~(hskp10)) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/(hskp7))) -> (~(hskp4)) -> False). % 0.99/1.20 do 0 intro. intros zenon_Hea zenon_Heb zenon_H9 zenon_H1d1 zenon_H229 zenon_H228 zenon_H73 zenon_H189 zenon_H179 zenon_H17a zenon_H17b zenon_H187 zenon_He8. % 0.99/1.20 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H20. zenon_intro zenon_Hec. % 0.99/1.20 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He0. zenon_intro zenon_Hed. % 0.99/1.20 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_He1. zenon_intro zenon_Hdf. % 0.99/1.20 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hee ]. % 0.99/1.20 apply (zenon_L255_); trivial. % 0.99/1.20 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_Hde | zenon_intro zenon_He9 ]. % 0.99/1.20 apply (zenon_L53_); trivial. % 0.99/1.20 exact (zenon_He8 zenon_He9). % 0.99/1.20 (* end of lemma zenon_L404_ *) % 0.99/1.20 assert (zenon_L405_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (~(hskp10)) -> (~(hskp16)) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> (~(hskp18)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(hskp19)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> False). % 0.99/1.20 do 0 intro. intros zenon_Hf2 zenon_Heb zenon_He8 zenon_H179 zenon_H17a zenon_H17b zenon_H1d1 zenon_H189 zenon_H73 zenon_H229 zenon_H228 zenon_H9 zenon_H187 zenon_H222 zenon_H61 zenon_H242 zenon_H289 zenon_H28a zenon_H28b zenon_H294 zenon_H3 zenon_H13c zenon_H13d zenon_H13e zenon_H211 zenon_H11b zenon_H119 zenon_H299 zenon_H95 zenon_Hb2 zenon_H13 zenon_H170 zenon_Hcf zenon_Hd0 zenon_Hce. % 0.99/1.20 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 0.99/1.20 apply (zenon_L368_); trivial. % 0.99/1.20 apply (zenon_L404_); trivial. % 0.99/1.20 (* end of lemma zenon_L405_ *) % 0.99/1.20 assert (zenon_L406_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(hskp18)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/(hskp7))) -> (~(hskp7)) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> (~(hskp16)) -> (~(hskp10)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> False). % 0.99/1.20 do 0 intro. intros zenon_H68 zenon_Hce zenon_Hd0 zenon_Hcf zenon_H170 zenon_Hb2 zenon_H95 zenon_H299 zenon_H119 zenon_H11b zenon_H211 zenon_H13e zenon_H13d zenon_H13c zenon_H3 zenon_H294 zenon_H28b zenon_H28a zenon_H289 zenon_H242 zenon_H61 zenon_H222 zenon_H187 zenon_H9 zenon_H228 zenon_H229 zenon_H73 zenon_H189 zenon_H1d1 zenon_H17b zenon_H17a zenon_H179 zenon_He8 zenon_Heb zenon_Hf2. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 0.99/1.20 apply (zenon_L405_); trivial. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H20. zenon_intro zenon_H66. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H45. zenon_intro zenon_H67. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.99/1.20 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 0.99/1.20 apply (zenon_L66_); trivial. % 0.99/1.20 apply (zenon_L404_); trivial. % 0.99/1.20 (* end of lemma zenon_L406_ *) % 0.99/1.20 assert (zenon_L407_ : ((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (c1_1 (a1680)) -> (~(c2_1 (a1680))) -> (~(c0_1 (a1680))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (~(hskp10)) -> (~(hskp16)) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/(hskp7))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((hskp7)\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> False). % 0.99/1.20 do 0 intro. intros zenon_H64 zenon_Hf2 zenon_Heb zenon_He8 zenon_H179 zenon_H17a zenon_H17b zenon_H222 zenon_Hd0 zenon_Hb2 zenon_H242 zenon_H299 zenon_H120 zenon_H11f zenon_H11e zenon_H13c zenon_H13d zenon_H13e zenon_H211 zenon_H28b zenon_H28a zenon_H289 zenon_H95 zenon_H227 zenon_H228 zenon_H229 zenon_H265 zenon_H232 zenon_Hcf zenon_H294 zenon_H3 zenon_H61 zenon_H1d1 zenon_H189 zenon_H73 zenon_H9 zenon_H187 zenon_H34 zenon_H18d zenon_H18f zenon_Hce. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H20. zenon_intro zenon_H66. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H45. zenon_intro zenon_H67. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.99/1.20 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 0.99/1.20 apply (zenon_L385_); trivial. % 0.99/1.20 apply (zenon_L404_); trivial. % 0.99/1.20 (* end of lemma zenon_L407_ *) % 0.99/1.20 assert (zenon_L408_ : ((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((hskp7)\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp16)) -> (~(hskp10)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> False). % 0.99/1.20 do 0 intro. intros zenon_H131 zenon_H68 zenon_H18d zenon_H18f zenon_Hce zenon_H170 zenon_H34 zenon_H187 zenon_H9 zenon_H73 zenon_H189 zenon_H1d1 zenon_H61 zenon_H294 zenon_H3 zenon_Hcf zenon_H232 zenon_H265 zenon_H229 zenon_H228 zenon_H227 zenon_H95 zenon_H289 zenon_H28a zenon_H28b zenon_H211 zenon_H13e zenon_H13d zenon_H13c zenon_H299 zenon_H242 zenon_Hb2 zenon_Hd0 zenon_H222 zenon_H17b zenon_H17a zenon_H179 zenon_He8 zenon_Heb zenon_Hf2. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H20. zenon_intro zenon_H133. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H120. zenon_intro zenon_H134. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 0.99/1.20 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 0.99/1.20 apply (zenon_L376_); trivial. % 0.99/1.20 apply (zenon_L404_); trivial. % 0.99/1.20 apply (zenon_L407_); trivial. % 0.99/1.20 (* end of lemma zenon_L408_ *) % 0.99/1.20 assert (zenon_L409_ : (forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55)))))) -> (ndr1_0) -> (~(c1_1 (a1667))) -> (forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))) -> (c2_1 (a1667)) -> False). % 0.99/1.20 do 0 intro. intros zenon_H261 zenon_H20 zenon_H78 zenon_Ha2 zenon_H7a. % 0.99/1.20 generalize (zenon_H261 (a1667)). zenon_intro zenon_H2a2. % 0.99/1.20 apply (zenon_imply_s _ _ zenon_H2a2); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a3 ]. % 0.99/1.20 exact (zenon_H1f zenon_H20). % 0.99/1.20 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H7e | zenon_intro zenon_H2a4 ]. % 0.99/1.20 exact (zenon_H78 zenon_H7e). % 0.99/1.20 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H1be | zenon_intro zenon_H7f ]. % 0.99/1.20 apply (zenon_L131_); trivial. % 0.99/1.20 exact (zenon_H7f zenon_H7a). % 0.99/1.20 (* end of lemma zenon_L409_ *) % 0.99/1.20 assert (zenon_L410_ : ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp2)\/(hskp9))) -> (~(hskp18)) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))) -> (ndr1_0) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (~(c1_1 (a1667))) -> (c2_1 (a1667)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> (~(hskp2)) -> (~(hskp9)) -> False). % 0.99/1.20 do 0 intro. intros zenon_H25f zenon_H119 zenon_H11d zenon_H20 zenon_H13c zenon_H13d zenon_H13e zenon_H78 zenon_H7a zenon_H11b zenon_H19d zenon_Hd. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H261 | zenon_intro zenon_H260 ]. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H11c ]. % 0.99/1.20 apply (zenon_L409_); trivial. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H43 | zenon_intro zenon_H11a ]. % 0.99/1.20 apply (zenon_L361_); trivial. % 0.99/1.20 exact (zenon_H119 zenon_H11a). % 0.99/1.20 apply (zenon_or_s _ _ zenon_H260); [ zenon_intro zenon_H19e | zenon_intro zenon_He ]. % 0.99/1.20 exact (zenon_H19d zenon_H19e). % 0.99/1.20 exact (zenon_Hd zenon_He). % 0.99/1.20 (* end of lemma zenon_L410_ *) % 0.99/1.20 assert (zenon_L411_ : ((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp2)\/(hskp9))) -> (~(hskp18)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (~(c1_1 (a1667))) -> (c2_1 (a1667)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> (~(hskp2)) -> (~(hskp9)) -> False). % 0.99/1.20 do 0 intro. intros zenon_H21f zenon_H299 zenon_H28b zenon_H28a zenon_H289 zenon_H25f zenon_H119 zenon_H13c zenon_H13d zenon_H13e zenon_H78 zenon_H7a zenon_H11b zenon_H19d zenon_Hd. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H20. zenon_intro zenon_H220. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H216. zenon_intro zenon_H221. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H217. zenon_intro zenon_H218. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 0.99/1.20 apply (zenon_L355_); trivial. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 0.99/1.20 apply (zenon_L194_); trivial. % 0.99/1.20 apply (zenon_L410_); trivial. % 0.99/1.20 (* end of lemma zenon_L411_ *) % 0.99/1.20 assert (zenon_L412_ : ((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> (~(hskp2)) -> (~(hskp9)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp2)\/(hskp9))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> False). % 0.99/1.20 do 0 intro. intros zenon_Hf5 zenon_H136 zenon_H242 zenon_H299 zenon_H11b zenon_H19d zenon_Hd zenon_H25f zenon_H13c zenon_H13d zenon_H13e zenon_H211 zenon_H28b zenon_H28a zenon_H289 zenon_H227 zenon_H228 zenon_H229 zenon_H232 zenon_H222. % 0.99/1.20 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_H20. zenon_intro zenon_Hf6. % 0.99/1.20 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H79. zenon_intro zenon_Hf7. % 0.99/1.20 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H7a. zenon_intro zenon_H78. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H119 | zenon_intro zenon_H131 ]. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 0.99/1.20 apply (zenon_L256_); trivial. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H20. zenon_intro zenon_H240. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H236. zenon_intro zenon_H241. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H237. zenon_intro zenon_H238. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 0.99/1.20 apply (zenon_L355_); trivial. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 0.99/1.20 apply (zenon_L262_); trivial. % 0.99/1.20 apply (zenon_L410_); trivial. % 0.99/1.20 apply (zenon_L411_); trivial. % 0.99/1.20 apply (zenon_L386_); trivial. % 0.99/1.20 (* end of lemma zenon_L412_ *) % 0.99/1.20 assert (zenon_L413_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(c3_1 (a1648))) -> (~(hskp2)) -> (~(hskp9)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp2)\/(hskp9))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(hskp7)) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> False). % 0.99/1.20 do 0 intro. intros zenon_Hf2 zenon_H65 zenon_Heb zenon_He8 zenon_H179 zenon_H17a zenon_H17b zenon_H5a zenon_H232 zenon_H191 zenon_H192 zenon_H233 zenon_H229 zenon_H228 zenon_H227 zenon_H1ed zenon_H1a4 zenon_H19d zenon_Hd zenon_H25f zenon_H259 zenon_H242 zenon_Hd0 zenon_Hcf zenon_H170 zenon_H13 zenon_Hb2 zenon_H95 zenon_H9 zenon_H2d zenon_H172 zenon_H61 zenon_Hce. % 0.99/1.20 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 0.99/1.20 apply (zenon_L93_); trivial. % 0.99/1.20 apply (zenon_L291_); trivial. % 0.99/1.20 (* end of lemma zenon_L413_ *) % 0.99/1.20 assert (zenon_L414_ : ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (c1_1 (a1646)) -> (c2_1 (a1646)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (c3_1 (a1701)) -> (~(c1_1 (a1701))) -> (~(c0_1 (a1701))) -> (ndr1_0) -> False). % 0.99/1.20 do 0 intro. intros zenon_H5a zenon_H11d zenon_H13c zenon_H13d zenon_H13e zenon_H4e zenon_H4f zenon_H5b zenon_H38 zenon_H37 zenon_H36 zenon_H20. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H21 ]. % 0.99/1.20 apply (zenon_L22_); trivial. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H35 | zenon_intro zenon_H5f ]. % 0.99/1.20 apply (zenon_L22_); trivial. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H43 | zenon_intro zenon_H56 ]. % 0.99/1.20 apply (zenon_L361_); trivial. % 0.99/1.20 apply (zenon_L27_); trivial. % 0.99/1.20 (* end of lemma zenon_L414_ *) % 0.99/1.20 assert (zenon_L415_ : ((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> False). % 0.99/1.20 do 0 intro. intros zenon_H60 zenon_H61 zenon_H299 zenon_H5b zenon_H13e zenon_H13d zenon_H13c zenon_H5a zenon_H28b zenon_H28a zenon_H289 zenon_H1 zenon_H41. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H20. zenon_intro zenon_H62. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H38. zenon_intro zenon_H63. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H36. zenon_intro zenon_H37. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 0.99/1.20 apply (zenon_L24_); trivial. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 0.99/1.20 apply (zenon_L355_); trivial. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 0.99/1.20 apply (zenon_L389_); trivial. % 0.99/1.20 apply (zenon_L414_); trivial. % 0.99/1.20 (* end of lemma zenon_L415_ *) % 0.99/1.20 assert (zenon_L416_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> (~(c3_1 (a1648))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (ndr1_0) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> (~(hskp18)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> False). % 0.99/1.20 do 0 intro. intros zenon_Hf2 zenon_Heb zenon_He8 zenon_H179 zenon_H17a zenon_H17b zenon_H1a4 zenon_H1c6 zenon_H222 zenon_Hd0 zenon_H232 zenon_H191 zenon_H192 zenon_H233 zenon_H229 zenon_H228 zenon_H227 zenon_H20 zenon_H95 zenon_H289 zenon_H28a zenon_H28b zenon_H211 zenon_H13e zenon_H13d zenon_H13c zenon_H11b zenon_H119 zenon_Hb2 zenon_H299 zenon_Hcf zenon_H242 zenon_H41 zenon_H1 zenon_H5a zenon_H5b zenon_H61 zenon_H65 zenon_Hce. % 0.99/1.20 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 0.99/1.20 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 0.99/1.20 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H8f | zenon_intro zenon_Hbd ]. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 0.99/1.20 apply (zenon_L229_); trivial. % 0.99/1.20 apply (zenon_L363_); trivial. % 0.99/1.20 apply (zenon_L48_); trivial. % 0.99/1.20 apply (zenon_L415_); trivial. % 0.99/1.20 apply (zenon_L364_); trivial. % 0.99/1.20 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H20. zenon_intro zenon_Hcb. % 0.99/1.20 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc1. zenon_intro zenon_Hcc. % 0.99/1.20 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc2. zenon_intro zenon_Hc0. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 0.99/1.20 apply (zenon_L229_); trivial. % 0.99/1.20 apply (zenon_L366_); trivial. % 0.99/1.20 apply (zenon_L415_); trivial. % 0.99/1.20 apply (zenon_L367_); trivial. % 0.99/1.20 apply (zenon_L277_); trivial. % 0.99/1.20 (* end of lemma zenon_L416_ *) % 0.99/1.20 assert (zenon_L417_ : ((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c3_1 (a1648))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> False). % 0.99/1.20 do 0 intro. intros zenon_H155 zenon_H136 zenon_Hce zenon_H65 zenon_H61 zenon_H5b zenon_H5a zenon_H1 zenon_H41 zenon_H242 zenon_Hcf zenon_H299 zenon_Hb2 zenon_H11b zenon_H211 zenon_H28b zenon_H28a zenon_H289 zenon_H95 zenon_H227 zenon_H228 zenon_H229 zenon_H233 zenon_H192 zenon_H191 zenon_H232 zenon_Hd0 zenon_H222 zenon_H1c6 zenon_H1a4 zenon_H17b zenon_H17a zenon_H179 zenon_He8 zenon_Heb zenon_Hf2. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H119 | zenon_intro zenon_H131 ]. % 0.99/1.20 apply (zenon_L416_); trivial. % 0.99/1.20 apply (zenon_L392_); trivial. % 0.99/1.20 (* end of lemma zenon_L417_ *) % 0.99/1.20 assert (zenon_L418_ : ((ndr1_0)/\((c0_1 (a1648))/\((c2_1 (a1648))/\(~(c3_1 (a1648)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp2)) -> (~(hskp9)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp2)\/(hskp9))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp11))) -> (~(hskp7)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> False). % 0.99/1.20 do 0 intro. intros zenon_H1a1 zenon_H159 zenon_H5b zenon_H1 zenon_H41 zenon_H299 zenon_H211 zenon_H28b zenon_H28a zenon_H289 zenon_H222 zenon_H1c6 zenon_Hf2 zenon_H65 zenon_Heb zenon_He8 zenon_H179 zenon_H17a zenon_H17b zenon_H5a zenon_H232 zenon_H233 zenon_H1ed zenon_H19d zenon_Hd zenon_H25f zenon_H259 zenon_H242 zenon_Hd0 zenon_H95 zenon_H227 zenon_H228 zenon_H229 zenon_Hb2 zenon_H112 zenon_Hcf zenon_Hce zenon_H68 zenon_H11b zenon_H61 zenon_H172 zenon_H9 zenon_H170 zenon_H132 zenon_H136 zenon_H15a. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 0.99/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 0.99/1.20 apply (zenon_L292_); trivial. % 0.99/1.20 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H119 | zenon_intro zenon_H131 ]. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 0.99/1.21 apply (zenon_L413_); trivial. % 0.99/1.21 apply (zenon_L293_); trivial. % 0.99/1.21 apply (zenon_L70_); trivial. % 0.99/1.21 apply (zenon_L417_); trivial. % 0.99/1.21 (* end of lemma zenon_L418_ *) % 0.99/1.21 assert (zenon_L419_ : ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> (c1_1 (a1643)) -> (~(c2_1 (a1643))) -> (~(c3_1 (a1643))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (c1_1 (a1680)) -> (~(c2_1 (a1680))) -> (~(c0_1 (a1680))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(hskp20)) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (~(hskp10)) -> (~(hskp16)) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/(hskp7))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> False). % 0.99/1.21 do 0 intro. intros zenon_H222 zenon_Hd0 zenon_H1ff zenon_H1b0 zenon_H1af zenon_H1ad zenon_H242 zenon_H299 zenon_H120 zenon_H11f zenon_H11e zenon_H13c zenon_H13d zenon_H13e zenon_H211 zenon_H28b zenon_H28a zenon_H289 zenon_H95 zenon_H91 zenon_H227 zenon_H228 zenon_H229 zenon_H265 zenon_H232 zenon_Hcf zenon_H3 zenon_H294 zenon_H61 zenon_H1d1 zenon_H189 zenon_H73 zenon_H9 zenon_H187 zenon_H34. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 0.99/1.21 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H8f | zenon_intro zenon_Hbd ]. % 0.99/1.21 apply (zenon_L373_); trivial. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_H20. zenon_intro zenon_Hbe. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hbf. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Hb5. zenon_intro zenon_Hb6. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 0.99/1.21 apply (zenon_L397_); trivial. % 0.99/1.21 apply (zenon_L372_); trivial. % 0.99/1.21 apply (zenon_L374_); trivial. % 0.99/1.21 apply (zenon_L375_); trivial. % 0.99/1.21 (* end of lemma zenon_L419_ *) % 0.99/1.21 assert (zenon_L420_ : ((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp16)) -> (~(hskp10)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> False). % 0.99/1.21 do 0 intro. intros zenon_H131 zenon_Hf2 zenon_Heb zenon_He8 zenon_H179 zenon_H17a zenon_H17b zenon_H34 zenon_H187 zenon_H9 zenon_H73 zenon_H189 zenon_H1d1 zenon_H61 zenon_H294 zenon_H3 zenon_Hcf zenon_H232 zenon_H265 zenon_H229 zenon_H228 zenon_H227 zenon_H95 zenon_H289 zenon_H28a zenon_H28b zenon_H211 zenon_H13e zenon_H13d zenon_H13c zenon_H299 zenon_H242 zenon_H1ad zenon_H1af zenon_H1b0 zenon_H1ff zenon_Hd0 zenon_H222. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H20. zenon_intro zenon_H133. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H120. zenon_intro zenon_H134. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 0.99/1.21 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 0.99/1.21 apply (zenon_L419_); trivial. % 0.99/1.21 apply (zenon_L404_); trivial. % 0.99/1.21 (* end of lemma zenon_L420_ *) % 0.99/1.21 assert (zenon_L421_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(hskp22)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c3_1 (a1647)) -> (c1_1 (a1647)) -> (c0_1 (a1647)) -> (c1_1 (a1646)) -> (c2_1 (a1646)) -> (forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (ndr1_0) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> False). % 0.99/1.21 do 0 intro. intros zenon_H1c6 zenon_H20f zenon_H13c zenon_H13d zenon_H13e zenon_H211 zenon_H238 zenon_H237 zenon_H236 zenon_H4e zenon_H4f zenon_Hde zenon_H82 zenon_H83 zenon_H84 zenon_H1ed zenon_H20 zenon_H1a4 zenon_H191 zenon_H192. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1c7 ]. % 0.99/1.21 apply (zenon_L262_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H21 | zenon_intro zenon_H1c3 ]. % 0.99/1.21 apply (zenon_L240_); trivial. % 0.99/1.21 apply (zenon_L191_); trivial. % 0.99/1.21 (* end of lemma zenon_L421_ *) % 0.99/1.21 assert (zenon_L422_ : ((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (c2_1 (a1646)) -> (c1_1 (a1646)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(hskp22)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(hskp4)) -> False). % 0.99/1.21 do 0 intro. intros zenon_H23f zenon_Heb zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_H192 zenon_H191 zenon_H1a4 zenon_H1ed zenon_H84 zenon_H83 zenon_H82 zenon_H4f zenon_H4e zenon_H211 zenon_H13e zenon_H13d zenon_H13c zenon_H20f zenon_H1c6 zenon_He8. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H20. zenon_intro zenon_H240. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H236. zenon_intro zenon_H241. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H237. zenon_intro zenon_H238. % 0.99/1.21 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hee ]. % 0.99/1.21 apply (zenon_L52_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_Hde | zenon_intro zenon_He9 ]. % 0.99/1.21 apply (zenon_L421_); trivial. % 0.99/1.21 exact (zenon_He8 zenon_He9). % 0.99/1.21 (* end of lemma zenon_L422_ *) % 0.99/1.21 assert (zenon_L423_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(hskp22)) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (~(c3_1 (a1648))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (~(hskp24)) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (ndr1_0) -> (~(c1_1 (a1691))) -> (c2_1 (a1691)) -> (c3_1 (a1691)) -> (~(hskp19)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> False). % 0.99/1.21 do 0 intro. intros zenon_H61 zenon_H242 zenon_Heb zenon_He8 zenon_H211 zenon_H20f zenon_H13e zenon_H13d zenon_H13c zenon_H1ed zenon_H84 zenon_H83 zenon_H82 zenon_H1a4 zenon_H1c6 zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_H227 zenon_H228 zenon_H229 zenon_H233 zenon_H1b zenon_H192 zenon_H191 zenon_H232 zenon_H20 zenon_Hc0 zenon_Hc1 zenon_Hc2 zenon_H13 zenon_H170. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 0.99/1.21 apply (zenon_L91_); trivial. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 0.99/1.21 apply (zenon_L229_); trivial. % 0.99/1.21 apply (zenon_L422_); trivial. % 0.99/1.21 (* end of lemma zenon_L423_ *) % 0.99/1.21 assert (zenon_L424_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (ndr1_0) -> (~(c3_1 (a1682))) -> (c1_1 (a1682)) -> (c2_1 (a1682)) -> (~(hskp22)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> False). % 0.99/1.21 do 0 intro. intros zenon_H65 zenon_H61 zenon_H299 zenon_H5b zenon_H13e zenon_H13d zenon_H13c zenon_H5a zenon_H28b zenon_H28a zenon_H289 zenon_H1 zenon_H41 zenon_H232 zenon_H191 zenon_H192 zenon_H233 zenon_H229 zenon_H228 zenon_H227 zenon_H20 zenon_H44 zenon_H45 zenon_H46 zenon_H20f zenon_H211 zenon_H242. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 0.99/1.21 apply (zenon_L232_); trivial. % 0.99/1.21 apply (zenon_L415_); trivial. % 0.99/1.21 (* end of lemma zenon_L424_ *) % 0.99/1.21 assert (zenon_L425_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a1697))) -> (~(c2_1 (a1697))) -> (~(c3_1 (a1697))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(c3_1 (a1648))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (~(hskp24)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> (ndr1_0) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> False). % 0.99/1.21 do 0 intro. intros zenon_H61 zenon_H242 zenon_Heb zenon_He8 zenon_H216 zenon_H217 zenon_H218 zenon_H1ed zenon_H1a4 zenon_H1c6 zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_H227 zenon_H228 zenon_H229 zenon_H233 zenon_H1b zenon_H232 zenon_H1ff zenon_H192 zenon_H191 zenon_H12a zenon_H129 zenon_H128 zenon_H20 zenon_H82 zenon_H83 zenon_H84 zenon_H19d zenon_H19f. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 0.99/1.21 apply (zenon_L177_); trivial. % 0.99/1.21 apply (zenon_L243_); trivial. % 0.99/1.21 (* end of lemma zenon_L425_ *) % 0.99/1.21 assert (zenon_L426_ : ((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c3_1 (a1682))) -> (c1_1 (a1682)) -> (c2_1 (a1682)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (~(c0_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c3_1 (a1644))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c3_1 (a1648))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> False). % 0.99/1.21 do 0 intro. intros zenon_H21f zenon_H65 zenon_H5a zenon_H44 zenon_H45 zenon_H46 zenon_H5b zenon_H1 zenon_H41 zenon_H19f zenon_H19d zenon_H84 zenon_H83 zenon_H82 zenon_H128 zenon_H129 zenon_H12a zenon_H191 zenon_H192 zenon_H1ff zenon_H232 zenon_H233 zenon_H229 zenon_H228 zenon_H227 zenon_Hd5 zenon_Hd6 zenon_Hd7 zenon_H1c6 zenon_H1a4 zenon_H1ed zenon_He8 zenon_Heb zenon_H242 zenon_H61. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H20. zenon_intro zenon_H220. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H216. zenon_intro zenon_H221. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H217. zenon_intro zenon_H218. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 0.99/1.21 apply (zenon_L425_); trivial. % 0.99/1.21 apply (zenon_L29_); trivial. % 0.99/1.21 (* end of lemma zenon_L426_ *) % 0.99/1.21 assert (zenon_L427_ : ((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> (~(c0_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c3_1 (a1644))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c3_1 (a1648))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> (~(hskp0)) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> False). % 0.99/1.21 do 0 intro. intros zenon_H64 zenon_H222 zenon_H19f zenon_H19d zenon_H84 zenon_H83 zenon_H82 zenon_H128 zenon_H129 zenon_H12a zenon_H1ff zenon_Hd5 zenon_Hd6 zenon_Hd7 zenon_H1c6 zenon_H1a4 zenon_H1ed zenon_He8 zenon_Heb zenon_H242 zenon_H211 zenon_H227 zenon_H228 zenon_H229 zenon_H233 zenon_H192 zenon_H191 zenon_H232 zenon_H41 zenon_H1 zenon_H289 zenon_H28a zenon_H28b zenon_H5a zenon_H13c zenon_H13d zenon_H13e zenon_H5b zenon_H299 zenon_H61 zenon_H65. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H20. zenon_intro zenon_H66. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H45. zenon_intro zenon_H67. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 0.99/1.21 apply (zenon_L424_); trivial. % 0.99/1.21 apply (zenon_L426_); trivial. % 0.99/1.21 (* end of lemma zenon_L427_ *) % 0.99/1.21 assert (zenon_L428_ : ((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> (~(hskp0)) -> (~(hskp16)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (c3_1 (a1640)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> False). % 0.99/1.21 do 0 intro. intros zenon_H131 zenon_H222 zenon_H289 zenon_H28a zenon_H28b zenon_H75 zenon_H1 zenon_H73 zenon_H13c zenon_H13d zenon_H13e zenon_H83 zenon_H82 zenon_H84 zenon_H211 zenon_H299. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H20. zenon_intro zenon_H133. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H120. zenon_intro zenon_H134. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 0.99/1.21 apply (zenon_L355_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 0.99/1.21 apply (zenon_L190_); trivial. % 0.99/1.21 apply (zenon_L68_); trivial. % 0.99/1.21 apply (zenon_L375_); trivial. % 0.99/1.21 (* end of lemma zenon_L428_ *) % 0.99/1.21 assert (zenon_L429_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (c2_1 (a1675)) -> (~(c1_1 (a1675))) -> (~(c0_1 (a1675))) -> (~(hskp22)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (c3_1 (a1640)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (ndr1_0) -> (~(c1_1 (a1691))) -> (c2_1 (a1691)) -> (c3_1 (a1691)) -> False). % 0.99/1.21 do 0 intro. intros zenon_Hca zenon_H9a zenon_H99 zenon_H98 zenon_H20f zenon_H83 zenon_H82 zenon_H84 zenon_H1ae zenon_H13c zenon_H13d zenon_H13e zenon_H211 zenon_H20 zenon_Hc0 zenon_Hc1 zenon_Hc2. % 0.99/1.21 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H97 | zenon_intro zenon_Hcd ]. % 0.99/1.21 apply (zenon_L43_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H69 | zenon_intro zenon_Ha2 ]. % 0.99/1.21 apply (zenon_L189_); trivial. % 0.99/1.21 apply (zenon_L49_); trivial. % 0.99/1.21 (* end of lemma zenon_L429_ *) % 0.99/1.21 assert (zenon_L430_ : ((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (c3_1 (a1640)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c2_1 (a1675)) -> (~(c1_1 (a1675))) -> (~(c0_1 (a1675))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> (~(hskp18)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> False). % 0.99/1.21 do 0 intro. intros zenon_Hc9 zenon_H222 zenon_H289 zenon_H28a zenon_H28b zenon_Hca zenon_H13c zenon_H13d zenon_H13e zenon_H83 zenon_H82 zenon_H84 zenon_H211 zenon_H9a zenon_H99 zenon_H98 zenon_H11b zenon_H119 zenon_H299. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H20. zenon_intro zenon_Hcb. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc1. zenon_intro zenon_Hcc. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc2. zenon_intro zenon_Hc0. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 0.99/1.21 apply (zenon_L355_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 0.99/1.21 apply (zenon_L429_); trivial. % 0.99/1.21 apply (zenon_L365_); trivial. % 0.99/1.21 apply (zenon_L367_); trivial. % 0.99/1.21 (* end of lemma zenon_L430_ *) % 0.99/1.21 assert (zenon_L431_ : ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> (c3_1 (a1712)) -> (c2_1 (a1712)) -> (c0_1 (a1712)) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))) -> (c2_1 (a1682)) -> (c1_1 (a1682)) -> (~(c3_1 (a1682))) -> (ndr1_0) -> (~(hskp18)) -> False). % 0.99/1.21 do 0 intro. intros zenon_H11b zenon_Ha4 zenon_Ha3 zenon_Ha1 zenon_H56 zenon_H46 zenon_H45 zenon_H44 zenon_H20 zenon_H119. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H11c ]. % 0.99/1.21 apply (zenon_L44_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H43 | zenon_intro zenon_H11a ]. % 0.99/1.21 apply (zenon_L25_); trivial. % 0.99/1.21 exact (zenon_H119 zenon_H11a). % 0.99/1.21 (* end of lemma zenon_L431_ *) % 0.99/1.21 assert (zenon_L432_ : ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (~(hskp18)) -> (~(c3_1 (a1682))) -> (c1_1 (a1682)) -> (c2_1 (a1682)) -> (c0_1 (a1712)) -> (c2_1 (a1712)) -> (c3_1 (a1712)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> (ndr1_0) -> (c0_1 (a1640)) -> (forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))) -> (~(c2_1 (a1640))) -> (c3_1 (a1640)) -> False). % 0.99/1.21 do 0 intro. intros zenon_H1ed zenon_Hde zenon_H119 zenon_H44 zenon_H45 zenon_H46 zenon_Ha1 zenon_Ha3 zenon_Ha4 zenon_H11b zenon_H20 zenon_H83 zenon_H69 zenon_H82 zenon_H84. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1ee ]. % 0.99/1.21 apply (zenon_L140_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H56 | zenon_intro zenon_H1e9 ]. % 0.99/1.21 apply (zenon_L431_); trivial. % 0.99/1.21 apply (zenon_L187_); trivial. % 0.99/1.21 (* end of lemma zenon_L432_ *) % 0.99/1.21 assert (zenon_L433_ : ((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(c0_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c3_1 (a1644))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> (~(hskp18)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c2_1 (a1675)) -> (~(c1_1 (a1675))) -> (~(c0_1 (a1675))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> False). % 0.99/1.21 do 0 intro. intros zenon_H64 zenon_Hf2 zenon_Hd0 zenon_H95 zenon_Hd5 zenon_Hd6 zenon_Hd7 zenon_Hca zenon_Hb2 zenon_H82 zenon_H83 zenon_H84 zenon_H11b zenon_H119 zenon_H1ed zenon_H9a zenon_H99 zenon_H98 zenon_He8 zenon_Heb zenon_Hcf zenon_Hce. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H20. zenon_intro zenon_H66. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H45. zenon_intro zenon_H67. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.99/1.21 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 0.99/1.21 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 0.99/1.21 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H8f | zenon_intro zenon_Hbd ]. % 0.99/1.21 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H93 | zenon_intro zenon_Hd1 ]. % 0.99/1.21 apply (zenon_L42_); trivial. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H20. zenon_intro zenon_Hd2. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Ha1. zenon_intro zenon_Hd3. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_Ha3. zenon_intro zenon_Ha4. % 0.99/1.21 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hee ]. % 0.99/1.21 apply (zenon_L52_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_Hde | zenon_intro zenon_He9 ]. % 0.99/1.21 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H97 | zenon_intro zenon_Hcd ]. % 0.99/1.21 apply (zenon_L43_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H69 | zenon_intro zenon_Ha2 ]. % 0.99/1.21 apply (zenon_L432_); trivial. % 0.99/1.21 apply (zenon_L46_); trivial. % 0.99/1.21 exact (zenon_He8 zenon_He9). % 0.99/1.21 apply (zenon_L48_); trivial. % 0.99/1.21 apply (zenon_L65_); trivial. % 0.99/1.21 apply (zenon_L55_); trivial. % 0.99/1.21 (* end of lemma zenon_L433_ *) % 0.99/1.21 assert (zenon_L434_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (c2_1 (a1675)) -> (~(c1_1 (a1675))) -> (~(c0_1 (a1675))) -> (~(hskp22)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (c3_1 (a1640)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (c3_1 (a1712)) -> (c2_1 (a1712)) -> (c0_1 (a1712)) -> (ndr1_0) -> (~(hskp20)) -> (~(hskp21)) -> False). % 0.99/1.21 do 0 intro. intros zenon_Hca zenon_H9a zenon_H99 zenon_H98 zenon_H20f zenon_H83 zenon_H82 zenon_H84 zenon_H1ae zenon_H13c zenon_H13d zenon_H13e zenon_H211 zenon_Hb2 zenon_Ha4 zenon_Ha3 zenon_Ha1 zenon_H20 zenon_H91 zenon_Hb0. % 0.99/1.21 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H97 | zenon_intro zenon_Hcd ]. % 0.99/1.21 apply (zenon_L43_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H69 | zenon_intro zenon_Ha2 ]. % 0.99/1.21 apply (zenon_L189_); trivial. % 0.99/1.21 apply (zenon_L46_); trivial. % 0.99/1.21 (* end of lemma zenon_L434_ *) % 0.99/1.21 assert (zenon_L435_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (c1_1 (a1680)) -> (~(c2_1 (a1680))) -> (~(c0_1 (a1680))) -> (~(c0_1 (a1675))) -> (~(c1_1 (a1675))) -> (c2_1 (a1675)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(hskp22)) -> (c3_1 (a1640)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(hskp21)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (~(hskp27)) -> (~(hskp20)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> False). % 0.99/1.21 do 0 intro. intros zenon_Hcf zenon_H299 zenon_H120 zenon_H11f zenon_H11e zenon_H98 zenon_H99 zenon_H9a zenon_H211 zenon_H20f zenon_H84 zenon_H82 zenon_H83 zenon_H13e zenon_H13d zenon_H13c zenon_Hb2 zenon_Hb0 zenon_Hca zenon_H28b zenon_H28a zenon_H289 zenon_H8f zenon_H91 zenon_H95. % 0.99/1.21 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H93 | zenon_intro zenon_Hd1 ]. % 0.99/1.21 apply (zenon_L42_); trivial. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H20. zenon_intro zenon_Hd2. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Ha1. zenon_intro zenon_Hd3. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_Ha3. zenon_intro zenon_Ha4. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 0.99/1.21 apply (zenon_L355_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 0.99/1.21 apply (zenon_L434_); trivial. % 0.99/1.21 apply (zenon_L68_); trivial. % 0.99/1.21 (* end of lemma zenon_L435_ *) % 0.99/1.21 assert (zenon_L436_ : ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (c1_1 (a1680)) -> (~(c2_1 (a1680))) -> (~(c0_1 (a1680))) -> (~(c0_1 (a1675))) -> (~(c1_1 (a1675))) -> (c2_1 (a1675)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c3_1 (a1640)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(hskp21)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (~(hskp20)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> False). % 0.99/1.21 do 0 intro. intros zenon_H222 zenon_Hcf zenon_H299 zenon_H120 zenon_H11f zenon_H11e zenon_H98 zenon_H99 zenon_H9a zenon_H211 zenon_H84 zenon_H82 zenon_H83 zenon_H13e zenon_H13d zenon_H13c zenon_Hb2 zenon_Hb0 zenon_Hca zenon_H28b zenon_H28a zenon_H289 zenon_H91 zenon_H95 zenon_Hd0. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 0.99/1.21 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H8f | zenon_intro zenon_Hbd ]. % 0.99/1.21 apply (zenon_L435_); trivial. % 0.99/1.21 apply (zenon_L48_); trivial. % 0.99/1.21 apply (zenon_L375_); trivial. % 0.99/1.21 (* end of lemma zenon_L436_ *) % 0.99/1.21 assert (zenon_L437_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (c3_1 (a1691)) -> (c2_1 (a1691)) -> (~(c1_1 (a1691))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (c3_1 (a1640)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (~(hskp22)) -> (~(c0_1 (a1675))) -> (~(c1_1 (a1675))) -> (c2_1 (a1675)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (ndr1_0) -> (~(c0_1 (a1680))) -> (~(c2_1 (a1680))) -> (c1_1 (a1680)) -> False). % 0.99/1.21 do 0 intro. intros zenon_H299 zenon_H28b zenon_H28a zenon_H289 zenon_Hc2 zenon_Hc1 zenon_Hc0 zenon_H211 zenon_H13e zenon_H13d zenon_H13c zenon_H84 zenon_H82 zenon_H83 zenon_H20f zenon_H98 zenon_H99 zenon_H9a zenon_Hca zenon_H20 zenon_H11e zenon_H11f zenon_H120. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 0.99/1.21 apply (zenon_L355_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 0.99/1.21 apply (zenon_L429_); trivial. % 0.99/1.21 apply (zenon_L68_); trivial. % 0.99/1.21 (* end of lemma zenon_L437_ *) % 0.99/1.21 assert (zenon_L438_ : ((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (c3_1 (a1640)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c2_1 (a1675)) -> (~(c1_1 (a1675))) -> (~(c0_1 (a1675))) -> (~(c0_1 (a1680))) -> (~(c2_1 (a1680))) -> (c1_1 (a1680)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> False). % 0.99/1.21 do 0 intro. intros zenon_Hc9 zenon_H222 zenon_H289 zenon_H28a zenon_H28b zenon_Hca zenon_H13c zenon_H13d zenon_H13e zenon_H83 zenon_H82 zenon_H84 zenon_H211 zenon_H9a zenon_H99 zenon_H98 zenon_H11e zenon_H11f zenon_H120 zenon_H299. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H20. zenon_intro zenon_Hcb. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc1. zenon_intro zenon_Hcc. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc2. zenon_intro zenon_Hc0. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 0.99/1.21 apply (zenon_L437_); trivial. % 0.99/1.21 apply (zenon_L375_); trivial. % 0.99/1.21 (* end of lemma zenon_L438_ *) % 0.99/1.21 assert (zenon_L439_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(hskp20)) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (c3_1 (a1640)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c2_1 (a1675)) -> (~(c1_1 (a1675))) -> (~(c0_1 (a1675))) -> (~(c0_1 (a1680))) -> (~(c2_1 (a1680))) -> (c1_1 (a1680)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> False). % 0.99/1.21 do 0 intro. intros zenon_Hce zenon_Hd0 zenon_H95 zenon_H91 zenon_H289 zenon_H28a zenon_H28b zenon_Hca zenon_Hb2 zenon_H13c zenon_H13d zenon_H13e zenon_H83 zenon_H82 zenon_H84 zenon_H211 zenon_H9a zenon_H99 zenon_H98 zenon_H11e zenon_H11f zenon_H120 zenon_H299 zenon_Hcf zenon_H222. % 0.99/1.21 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 0.99/1.21 apply (zenon_L436_); trivial. % 0.99/1.21 apply (zenon_L438_); trivial. % 0.99/1.21 (* end of lemma zenon_L439_ *) % 0.99/1.21 assert (zenon_L440_ : ((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c0_1 (a1675))) -> (~(c1_1 (a1675))) -> (c2_1 (a1675)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c3_1 (a1640)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> False). % 0.99/1.21 do 0 intro. intros zenon_H131 zenon_Hf2 zenon_Heb zenon_He8 zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_H222 zenon_Hcf zenon_H299 zenon_H98 zenon_H99 zenon_H9a zenon_H211 zenon_H84 zenon_H82 zenon_H83 zenon_H13e zenon_H13d zenon_H13c zenon_Hb2 zenon_Hca zenon_H28b zenon_H28a zenon_H289 zenon_H95 zenon_Hd0 zenon_Hce. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H20. zenon_intro zenon_H133. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H120. zenon_intro zenon_H134. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 0.99/1.21 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 0.99/1.21 apply (zenon_L439_); trivial. % 0.99/1.21 apply (zenon_L55_); trivial. % 0.99/1.21 (* end of lemma zenon_L440_ *) % 0.99/1.21 assert (zenon_L441_ : ((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (c3_1 (a1640)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(hskp6)) -> ((hskp19)\/((hskp21)\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> False). % 0.99/1.21 do 0 intro. intros zenon_Hf8 zenon_H136 zenon_Hce zenon_H222 zenon_H289 zenon_H28a zenon_H28b zenon_Hca zenon_H13c zenon_H13d zenon_H13e zenon_H83 zenon_H82 zenon_H84 zenon_H211 zenon_H11b zenon_H299 zenon_Hb zenon_H16e zenon_Hcf zenon_Heb zenon_He8 zenon_H1ed zenon_Hb2 zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_H95 zenon_Hd0 zenon_Hf2 zenon_H68. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_H20. zenon_intro zenon_Hf9. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H9a. zenon_intro zenon_Hfa. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_H98. zenon_intro zenon_H99. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H119 | zenon_intro zenon_H131 ]. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 0.99/1.21 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 0.99/1.21 apply (zenon_L85_); trivial. % 0.99/1.21 apply (zenon_L430_); trivial. % 0.99/1.21 apply (zenon_L433_); trivial. % 0.99/1.21 apply (zenon_L440_); trivial. % 0.99/1.21 (* end of lemma zenon_L441_ *) % 0.99/1.21 assert (zenon_L442_ : ((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(hskp6)) -> ((hskp19)\/((hskp21)\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> False). % 0.99/1.21 do 0 intro. intros zenon_Hf5 zenon_Hf1 zenon_H136 zenon_Hce zenon_H222 zenon_H289 zenon_H28a zenon_H28b zenon_Hca zenon_H13c zenon_H13d zenon_H13e zenon_H211 zenon_H11b zenon_H299 zenon_Hb zenon_H16e zenon_Hcf zenon_Heb zenon_He8 zenon_H1ed zenon_Hb2 zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_H95 zenon_Hd0 zenon_Hf2 zenon_H68 zenon_H82 zenon_H83 zenon_H84 zenon_H8d. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_H20. zenon_intro zenon_Hf6. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H79. zenon_intro zenon_Hf7. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H7a. zenon_intro zenon_H78. % 0.99/1.21 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 0.99/1.21 apply (zenon_L38_); trivial. % 0.99/1.21 apply (zenon_L441_); trivial. % 0.99/1.21 (* end of lemma zenon_L442_ *) % 0.99/1.21 assert (zenon_L443_ : ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp9))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))) -> (c3_1 (a1712)) -> (c2_1 (a1712)) -> (forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))) -> (c0_1 (a1712)) -> (ndr1_0) -> (~(hskp9)) -> False). % 0.99/1.21 do 0 intro. intros zenon_H16a zenon_H13e zenon_H13d zenon_H13c zenon_H11d zenon_Ha4 zenon_Ha3 zenon_Ha2 zenon_Ha1 zenon_H20 zenon_Hd. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H43 | zenon_intro zenon_H16b ]. % 0.99/1.21 apply (zenon_L361_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H56 | zenon_intro zenon_He ]. % 0.99/1.21 apply (zenon_L44_); trivial. % 0.99/1.21 exact (zenon_Hd zenon_He). % 0.99/1.21 (* end of lemma zenon_L443_ *) % 0.99/1.21 assert (zenon_L444_ : ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> (~(hskp9)) -> (c0_1 (a1712)) -> (c2_1 (a1712)) -> (c3_1 (a1712)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp9))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))) -> (~(hskp18)) -> False). % 0.99/1.21 do 0 intro. intros zenon_H11b zenon_Hd zenon_Ha1 zenon_Ha3 zenon_Ha4 zenon_H16a zenon_H13e zenon_H13d zenon_H13c zenon_H20 zenon_H11d zenon_H119. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H11c ]. % 0.99/1.21 apply (zenon_L443_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H43 | zenon_intro zenon_H11a ]. % 0.99/1.21 apply (zenon_L361_); trivial. % 0.99/1.21 exact (zenon_H119 zenon_H11a). % 0.99/1.21 (* end of lemma zenon_L444_ *) % 0.99/1.21 assert (zenon_L445_ : ((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (~(hskp0)) -> (~(hskp16)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c3_1 (a1640)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (~(hskp22)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> (~(hskp9)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp9))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(hskp18)) -> False). % 0.99/1.21 do 0 intro. intros zenon_Hd1 zenon_H299 zenon_H28b zenon_H28a zenon_H289 zenon_H1 zenon_H73 zenon_H211 zenon_H84 zenon_H82 zenon_H83 zenon_H20f zenon_H75 zenon_H11b zenon_Hd zenon_H16a zenon_H13e zenon_H13d zenon_H13c zenon_H119. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H20. zenon_intro zenon_Hd2. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Ha1. zenon_intro zenon_Hd3. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_Ha3. zenon_intro zenon_Ha4. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 0.99/1.21 apply (zenon_L355_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 0.99/1.21 apply (zenon_L190_); trivial. % 0.99/1.21 apply (zenon_L444_); trivial. % 0.99/1.21 (* end of lemma zenon_L445_ *) % 0.99/1.21 assert (zenon_L446_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp18)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(hskp22)) -> (c3_1 (a1640)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(hskp16)) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (~(hskp27)) -> (~(hskp20)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> False). % 0.99/1.21 do 0 intro. intros zenon_Hcf zenon_H299 zenon_H16a zenon_Hd zenon_H119 zenon_H11b zenon_H211 zenon_H20f zenon_H84 zenon_H82 zenon_H83 zenon_H13e zenon_H13d zenon_H13c zenon_H73 zenon_H1 zenon_H75 zenon_H28b zenon_H28a zenon_H289 zenon_H8f zenon_H91 zenon_H95. % 0.99/1.21 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H93 | zenon_intro zenon_Hd1 ]. % 0.99/1.21 apply (zenon_L42_); trivial. % 0.99/1.21 apply (zenon_L445_); trivial. % 0.99/1.21 (* end of lemma zenon_L446_ *) % 0.99/1.21 assert (zenon_L447_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(hskp21)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(hskp20)) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> (~(hskp0)) -> (~(hskp16)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (c3_1 (a1640)) -> (~(hskp22)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> (~(hskp18)) -> (~(hskp9)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp9))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> False). % 0.99/1.21 do 0 intro. intros zenon_Hd0 zenon_Hb2 zenon_Hb0 zenon_H95 zenon_H91 zenon_H289 zenon_H28a zenon_H28b zenon_H75 zenon_H1 zenon_H73 zenon_H13c zenon_H13d zenon_H13e zenon_H83 zenon_H82 zenon_H84 zenon_H20f zenon_H211 zenon_H11b zenon_H119 zenon_Hd zenon_H16a zenon_H299 zenon_Hcf. % 0.99/1.21 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H8f | zenon_intro zenon_Hbd ]. % 0.99/1.21 apply (zenon_L446_); trivial. % 0.99/1.21 apply (zenon_L48_); trivial. % 0.99/1.21 (* end of lemma zenon_L447_ *) % 0.99/1.21 assert (zenon_L448_ : ((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (~(c3_1 (a1697))) -> (~(c2_1 (a1697))) -> (~(c0_1 (a1697))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> (~(hskp9)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp9))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(hskp18)) -> False). % 0.99/1.21 do 0 intro. intros zenon_Hd1 zenon_H299 zenon_H28b zenon_H28a zenon_H289 zenon_H218 zenon_H217 zenon_H216 zenon_H11b zenon_Hd zenon_H16a zenon_H13e zenon_H13d zenon_H13c zenon_H119. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H20. zenon_intro zenon_Hd2. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Ha1. zenon_intro zenon_Hd3. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_Ha3. zenon_intro zenon_Ha4. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 0.99/1.21 apply (zenon_L355_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 0.99/1.21 apply (zenon_L194_); trivial. % 0.99/1.21 apply (zenon_L444_); trivial. % 0.99/1.21 (* end of lemma zenon_L448_ *) % 0.99/1.21 assert (zenon_L449_ : ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp9))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))) -> (c2_1 (a1635)) -> (c1_1 (a1635)) -> (c0_1 (a1635)) -> (ndr1_0) -> (~(hskp9)) -> False). % 0.99/1.21 do 0 intro. intros zenon_H16a zenon_H13e zenon_H13d zenon_H13c zenon_H11d zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H20 zenon_Hd. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H43 | zenon_intro zenon_H16b ]. % 0.99/1.21 apply (zenon_L361_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H56 | zenon_intro zenon_He ]. % 0.99/1.21 apply (zenon_L47_); trivial. % 0.99/1.21 exact (zenon_Hd zenon_He). % 0.99/1.21 (* end of lemma zenon_L449_ *) % 0.99/1.21 assert (zenon_L450_ : ((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (~(c3_1 (a1697))) -> (~(c2_1 (a1697))) -> (~(c0_1 (a1697))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp9))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(hskp9)) -> False). % 0.99/1.21 do 0 intro. intros zenon_Hbd zenon_H299 zenon_H28b zenon_H28a zenon_H289 zenon_H218 zenon_H217 zenon_H216 zenon_H16a zenon_H13e zenon_H13d zenon_H13c zenon_Hd. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_H20. zenon_intro zenon_Hbe. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hbf. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Hb5. zenon_intro zenon_Hb6. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 0.99/1.21 apply (zenon_L355_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 0.99/1.21 apply (zenon_L194_); trivial. % 0.99/1.21 apply (zenon_L449_); trivial. % 0.99/1.21 (* end of lemma zenon_L450_ *) % 0.99/1.21 assert (zenon_L451_ : ((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (~(hskp0)) -> (~(hskp16)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c3_1 (a1640)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (~(hskp22)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp9))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(hskp9)) -> False). % 0.99/1.21 do 0 intro. intros zenon_Hbd zenon_H299 zenon_H28b zenon_H28a zenon_H289 zenon_H1 zenon_H73 zenon_H211 zenon_H84 zenon_H82 zenon_H83 zenon_H20f zenon_H75 zenon_H16a zenon_H13e zenon_H13d zenon_H13c zenon_Hd. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_H20. zenon_intro zenon_Hbe. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hbf. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Hb5. zenon_intro zenon_Hb6. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 0.99/1.21 apply (zenon_L355_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 0.99/1.21 apply (zenon_L190_); trivial. % 0.99/1.21 apply (zenon_L449_); trivial. % 0.99/1.21 (* end of lemma zenon_L451_ *) % 0.99/1.21 assert (zenon_L452_ : ((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp18)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c3_1 (a1640)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(hskp16)) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (~(hskp20)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> False). % 0.99/1.21 do 0 intro. intros zenon_Hc9 zenon_H222 zenon_Hcf zenon_H299 zenon_H16a zenon_Hd zenon_H119 zenon_H11b zenon_H211 zenon_H84 zenon_H82 zenon_H83 zenon_H13e zenon_H13d zenon_H13c zenon_H73 zenon_H1 zenon_H75 zenon_H28b zenon_H28a zenon_H289 zenon_H91 zenon_H95 zenon_Hd0. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H20. zenon_intro zenon_Hcb. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc1. zenon_intro zenon_Hcc. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc2. zenon_intro zenon_Hc0. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 0.99/1.21 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H8f | zenon_intro zenon_Hbd ]. % 0.99/1.21 apply (zenon_L446_); trivial. % 0.99/1.21 apply (zenon_L451_); trivial. % 0.99/1.21 apply (zenon_L367_); trivial. % 0.99/1.21 (* end of lemma zenon_L452_ *) % 0.99/1.21 assert (zenon_L453_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(hskp20)) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> (~(hskp0)) -> (~(hskp16)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (c3_1 (a1640)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> (~(hskp18)) -> (~(hskp9)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp9))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> False). % 0.99/1.21 do 0 intro. intros zenon_Hce zenon_Hd0 zenon_Hb2 zenon_H95 zenon_H91 zenon_H289 zenon_H28a zenon_H28b zenon_H75 zenon_H1 zenon_H73 zenon_H13c zenon_H13d zenon_H13e zenon_H83 zenon_H82 zenon_H84 zenon_H211 zenon_H11b zenon_H119 zenon_Hd zenon_H16a zenon_H299 zenon_Hcf zenon_H222. % 0.99/1.21 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 0.99/1.21 apply (zenon_L447_); trivial. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H20. zenon_intro zenon_H220. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H216. zenon_intro zenon_H221. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H217. zenon_intro zenon_H218. % 0.99/1.21 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H8f | zenon_intro zenon_Hbd ]. % 0.99/1.21 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H93 | zenon_intro zenon_Hd1 ]. % 0.99/1.21 apply (zenon_L42_); trivial. % 0.99/1.21 apply (zenon_L448_); trivial. % 0.99/1.21 apply (zenon_L450_); trivial. % 0.99/1.21 apply (zenon_L452_); trivial. % 0.99/1.21 (* end of lemma zenon_L453_ *) % 0.99/1.21 assert (zenon_L454_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/(hskp7))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> (~(hskp10)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (ndr1_0) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> False). % 0.99/1.21 do 0 intro. intros zenon_H159 zenon_Hf2 zenon_Heb zenon_He8 zenon_H179 zenon_H17a zenon_H17b zenon_H9 zenon_H187 zenon_H222 zenon_Hcf zenon_H299 zenon_H16a zenon_Hd zenon_H11b zenon_H211 zenon_H1 zenon_H75 zenon_H28b zenon_H28a zenon_H289 zenon_H95 zenon_Hb2 zenon_Hd0 zenon_Hce zenon_H136 zenon_H259 zenon_H189 zenon_H1d1 zenon_H229 zenon_H228 zenon_H227 zenon_H20 zenon_H82 zenon_H83 zenon_H84 zenon_H19d zenon_H19f zenon_Hf0. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 0.99/1.21 apply (zenon_L252_); trivial. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 0.99/1.21 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H119 | zenon_intro zenon_H131 ]. % 0.99/1.21 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 0.99/1.21 apply (zenon_L453_); trivial. % 0.99/1.21 apply (zenon_L404_); trivial. % 0.99/1.21 apply (zenon_L428_); trivial. % 0.99/1.21 apply (zenon_L114_); trivial. % 0.99/1.21 (* end of lemma zenon_L454_ *) % 0.99/1.21 assert (zenon_L455_ : ((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (c2_1 (a1646)) -> (c1_1 (a1646)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(hskp22)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(hskp4)) -> False). % 0.99/1.21 do 0 intro. intros zenon_H23f zenon_Heb zenon_H179 zenon_H17a zenon_H17b zenon_H192 zenon_H191 zenon_H1a4 zenon_H1ed zenon_H84 zenon_H83 zenon_H82 zenon_H4f zenon_H4e zenon_H211 zenon_H13e zenon_H13d zenon_H13c zenon_H20f zenon_H1c6 zenon_He8. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H20. zenon_intro zenon_H240. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H236. zenon_intro zenon_H241. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H237. zenon_intro zenon_H238. % 0.99/1.21 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hee ]. % 0.99/1.21 apply (zenon_L273_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_Hde | zenon_intro zenon_He9 ]. % 0.99/1.21 apply (zenon_L421_); trivial. % 0.99/1.21 exact (zenon_He8 zenon_He9). % 0.99/1.21 (* end of lemma zenon_L455_ *) % 0.99/1.21 assert (zenon_L456_ : ((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(hskp22)) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> (~(c3_1 (a1648))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (~(hskp24)) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> False). % 0.99/1.21 do 0 intro. intros zenon_H59 zenon_H242 zenon_Heb zenon_He8 zenon_H1ed zenon_H84 zenon_H83 zenon_H82 zenon_H211 zenon_H20f zenon_H13e zenon_H13d zenon_H13c zenon_H179 zenon_H17a zenon_H17b zenon_H1a4 zenon_H1c6 zenon_H227 zenon_H228 zenon_H229 zenon_H233 zenon_H1b zenon_H192 zenon_H191 zenon_H232. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 0.99/1.21 apply (zenon_L229_); trivial. % 0.99/1.21 apply (zenon_L455_); trivial. % 0.99/1.21 (* end of lemma zenon_L456_ *) % 0.99/1.21 assert (zenon_L457_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(hskp21)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(hskp20)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> (~(hskp24)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c3_1 (a1648))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (~(hskp22)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> False). % 0.99/1.21 do 0 intro. intros zenon_Hd0 zenon_Hcf zenon_H170 zenon_H13 zenon_Hb0 zenon_Hb2 zenon_H91 zenon_H95 zenon_H232 zenon_H191 zenon_H192 zenon_H1b zenon_H233 zenon_H229 zenon_H228 zenon_H227 zenon_H1c6 zenon_H1a4 zenon_H17b zenon_H17a zenon_H179 zenon_H13c zenon_H13d zenon_H13e zenon_H20f zenon_H211 zenon_H82 zenon_H83 zenon_H84 zenon_H1ed zenon_He8 zenon_Heb zenon_H242 zenon_H61. % 0.99/1.21 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H8f | zenon_intro zenon_Hbd ]. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 0.99/1.21 apply (zenon_L89_); trivial. % 0.99/1.21 apply (zenon_L456_); trivial. % 0.99/1.21 apply (zenon_L48_); trivial. % 0.99/1.21 (* end of lemma zenon_L457_ *) % 0.99/1.21 assert (zenon_L458_ : ((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (~(c0_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c3_1 (a1644))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c3_1 (a1648))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> False). % 0.99/1.21 do 0 intro. intros zenon_H21f zenon_H65 zenon_H299 zenon_H5b zenon_H13e zenon_H13d zenon_H13c zenon_H5a zenon_H28b zenon_H28a zenon_H289 zenon_H1 zenon_H41 zenon_H19f zenon_H19d zenon_H84 zenon_H83 zenon_H82 zenon_H128 zenon_H129 zenon_H12a zenon_H191 zenon_H192 zenon_H1ff zenon_H232 zenon_H233 zenon_H229 zenon_H228 zenon_H227 zenon_Hd5 zenon_Hd6 zenon_Hd7 zenon_H1c6 zenon_H1a4 zenon_H1ed zenon_He8 zenon_Heb zenon_H242 zenon_H61. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H20. zenon_intro zenon_H220. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H216. zenon_intro zenon_H221. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H217. zenon_intro zenon_H218. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 0.99/1.21 apply (zenon_L425_); trivial. % 0.99/1.21 apply (zenon_L415_); trivial. % 0.99/1.21 (* end of lemma zenon_L458_ *) % 0.99/1.21 assert (zenon_L459_ : ((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((hskp7)\/(hskp8))) -> (~(hskp17)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (~(hskp7)) -> (~(hskp8)) -> False). % 0.99/1.21 do 0 intro. intros zenon_Hc9 zenon_H18f zenon_H8b zenon_H82 zenon_H83 zenon_H84 zenon_H8d zenon_H9 zenon_H18d. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H20. zenon_intro zenon_Hcb. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc1. zenon_intro zenon_Hcc. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc2. zenon_intro zenon_Hc0. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H97 | zenon_intro zenon_H190 ]. % 0.99/1.21 apply (zenon_L167_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_Ha | zenon_intro zenon_H18e ]. % 0.99/1.21 exact (zenon_H9 zenon_Ha). % 0.99/1.21 exact (zenon_H18d zenon_H18e). % 0.99/1.21 (* end of lemma zenon_L459_ *) % 0.99/1.21 assert (zenon_L460_ : ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> (~(c0_1 (a1638))) -> (forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38)))))) -> (~(hskp2)) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (ndr1_0) -> (c0_1 (a1640)) -> (forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))) -> (~(c2_1 (a1640))) -> (c3_1 (a1640)) -> False). % 0.99/1.21 do 0 intro. intros zenon_H1ed zenon_H228 zenon_H229 zenon_H227 zenon_H251 zenon_H19d zenon_H191 zenon_H192 zenon_H19f zenon_H20 zenon_H83 zenon_H69 zenon_H82 zenon_H84. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1ee ]. % 0.99/1.21 apply (zenon_L249_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H56 | zenon_intro zenon_H1e9 ]. % 0.99/1.21 apply (zenon_L267_); trivial. % 0.99/1.21 apply (zenon_L187_); trivial. % 0.99/1.21 (* end of lemma zenon_L460_ *) % 0.99/1.21 assert (zenon_L461_ : ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7)))))) -> (c3_1 (a1640)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(hskp2)) -> (forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38)))))) -> (~(c0_1 (a1638))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (ndr1_0) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> False). % 0.99/1.21 do 0 intro. intros zenon_H1ab zenon_H17b zenon_H17a zenon_H179 zenon_H97 zenon_H84 zenon_H82 zenon_H83 zenon_H19f zenon_H192 zenon_H191 zenon_H19d zenon_H251 zenon_H227 zenon_H229 zenon_H228 zenon_H1ed zenon_H20 zenon_H128 zenon_H129 zenon_H12a. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H13b | zenon_intro zenon_H1ac ]. % 0.99/1.21 apply (zenon_L118_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H69 | zenon_intro zenon_H127 ]. % 0.99/1.21 apply (zenon_L460_); trivial. % 0.99/1.21 apply (zenon_L69_); trivial. % 0.99/1.21 (* end of lemma zenon_L461_ *) % 0.99/1.21 assert (zenon_L462_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> (ndr1_0) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> (~(c0_1 (a1638))) -> (~(hskp2)) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (c3_1 (a1640)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7)))))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (~(hskp11)) -> False). % 0.99/1.21 do 0 intro. intros zenon_H259 zenon_H12a zenon_H129 zenon_H128 zenon_H20 zenon_H1ed zenon_H228 zenon_H229 zenon_H227 zenon_H19d zenon_H191 zenon_H192 zenon_H19f zenon_H83 zenon_H82 zenon_H84 zenon_H97 zenon_H179 zenon_H17a zenon_H17b zenon_H1ab zenon_H2d. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H109 | zenon_intro zenon_H25a ]. % 0.99/1.21 apply (zenon_L223_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H251 | zenon_intro zenon_H2e ]. % 0.99/1.21 apply (zenon_L461_); trivial. % 0.99/1.21 exact (zenon_H2d zenon_H2e). % 0.99/1.21 (* end of lemma zenon_L462_ *) % 0.99/1.21 assert (zenon_L463_ : (forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))) -> (ndr1_0) -> (forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28)))))) -> (c2_1 (a1646)) -> (c3_1 (a1646)) -> (c1_1 (a1646)) -> False). % 0.99/1.21 do 0 intro. intros zenon_H56 zenon_H20 zenon_H275 zenon_H4f zenon_H5e zenon_H4e. % 0.99/1.21 generalize (zenon_H56 (a1646)). zenon_intro zenon_H57. % 0.99/1.21 apply (zenon_imply_s _ _ zenon_H57); [ zenon_intro zenon_H1f | zenon_intro zenon_H58 ]. % 0.99/1.21 exact (zenon_H1f zenon_H20). % 0.99/1.21 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H4d | zenon_intro zenon_H52 ]. % 0.99/1.21 generalize (zenon_H275 (a1646)). zenon_intro zenon_H2a5. % 0.99/1.21 apply (zenon_imply_s _ _ zenon_H2a5); [ zenon_intro zenon_H1f | zenon_intro zenon_H2a6 ]. % 0.99/1.21 exact (zenon_H1f zenon_H20). % 0.99/1.21 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H53 | zenon_intro zenon_H177 ]. % 0.99/1.21 exact (zenon_H4d zenon_H53). % 0.99/1.21 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H54 | zenon_intro zenon_H178 ]. % 0.99/1.21 exact (zenon_H54 zenon_H4f). % 0.99/1.21 exact (zenon_H178 zenon_H5e). % 0.99/1.21 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H55 | zenon_intro zenon_H54 ]. % 0.99/1.21 exact (zenon_H55 zenon_H4e). % 0.99/1.21 exact (zenon_H54 zenon_H4f). % 0.99/1.21 (* end of lemma zenon_L463_ *) % 0.99/1.21 assert (zenon_L464_ : ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (c1_1 (a1646)) -> (c3_1 (a1646)) -> (c2_1 (a1646)) -> (forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28)))))) -> (ndr1_0) -> (c0_1 (a1640)) -> (forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))) -> (~(c2_1 (a1640))) -> (c3_1 (a1640)) -> False). % 0.99/1.21 do 0 intro. intros zenon_H1ed zenon_Hde zenon_H4e zenon_H5e zenon_H4f zenon_H275 zenon_H20 zenon_H83 zenon_H69 zenon_H82 zenon_H84. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1ee ]. % 0.99/1.21 apply (zenon_L140_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H56 | zenon_intro zenon_H1e9 ]. % 0.99/1.21 apply (zenon_L463_); trivial. % 0.99/1.21 apply (zenon_L187_); trivial. % 0.99/1.21 (* end of lemma zenon_L464_ *) % 0.99/1.21 assert (zenon_L465_ : ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (c3_1 (a1640)) -> (~(c2_1 (a1640))) -> (forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))) -> (c0_1 (a1640)) -> (c2_1 (a1646)) -> (c3_1 (a1646)) -> (c1_1 (a1646)) -> (forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c1_1 (a1643)) -> (~(c2_1 (a1643))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (~(c3_1 (a1643))) -> (ndr1_0) -> (~(hskp15)) -> False). % 0.99/1.21 do 0 intro. intros zenon_H27b zenon_H84 zenon_H82 zenon_H69 zenon_H83 zenon_H4f zenon_H5e zenon_H4e zenon_Hde zenon_H1ed zenon_H1b0 zenon_H1af zenon_H1ae zenon_H1ad zenon_H20 zenon_H11. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H275 | zenon_intro zenon_H27c ]. % 0.99/1.21 apply (zenon_L464_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_H127 | zenon_intro zenon_H12 ]. % 0.99/1.21 apply (zenon_L125_); trivial. % 0.99/1.21 exact (zenon_H11 zenon_H12). % 0.99/1.21 (* end of lemma zenon_L465_ *) % 0.99/1.21 assert (zenon_L466_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp15)) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (c1_1 (a1646)) -> (c3_1 (a1646)) -> (c2_1 (a1646)) -> (ndr1_0) -> (c0_1 (a1640)) -> (forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))) -> (~(c2_1 (a1640))) -> (c3_1 (a1640)) -> False). % 0.99/1.21 do 0 intro. intros zenon_H2a7 zenon_H11 zenon_H1ad zenon_H1af zenon_H1b0 zenon_H27b zenon_H229 zenon_H228 zenon_H227 zenon_H1ed zenon_Hde zenon_H4e zenon_H5e zenon_H4f zenon_H20 zenon_H83 zenon_H69 zenon_H82 zenon_H84. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H1ae | zenon_intro zenon_H2a8 ]. % 0.99/1.21 apply (zenon_L465_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H109 | zenon_intro zenon_H275 ]. % 0.99/1.21 apply (zenon_L223_); trivial. % 0.99/1.21 apply (zenon_L464_); trivial. % 0.99/1.21 (* end of lemma zenon_L466_ *) % 0.99/1.21 assert (zenon_L467_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(hskp11)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(hskp2)) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> (c3_1 (a1640)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c2_1 (a1646)) -> (c3_1 (a1646)) -> (c1_1 (a1646)) -> (forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (c1_1 (a1643)) -> (~(c2_1 (a1643))) -> (~(c3_1 (a1643))) -> (~(hskp15)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (c3_1 (a1712)) -> (c2_1 (a1712)) -> (c0_1 (a1712)) -> (ndr1_0) -> (~(hskp20)) -> (~(hskp21)) -> False). % 0.99/1.21 do 0 intro. intros zenon_Hca zenon_H2d zenon_H1ab zenon_H17b zenon_H17a zenon_H179 zenon_H19f zenon_H192 zenon_H191 zenon_H19d zenon_H128 zenon_H129 zenon_H12a zenon_H259 zenon_H84 zenon_H82 zenon_H83 zenon_H4f zenon_H5e zenon_H4e zenon_Hde zenon_H1ed zenon_H227 zenon_H228 zenon_H229 zenon_H27b zenon_H1b0 zenon_H1af zenon_H1ad zenon_H11 zenon_H2a7 zenon_Hb2 zenon_Ha4 zenon_Ha3 zenon_Ha1 zenon_H20 zenon_H91 zenon_Hb0. % 0.99/1.21 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H97 | zenon_intro zenon_Hcd ]. % 0.99/1.21 apply (zenon_L462_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H69 | zenon_intro zenon_Ha2 ]. % 0.99/1.21 apply (zenon_L466_); trivial. % 0.99/1.21 apply (zenon_L46_); trivial. % 0.99/1.21 (* end of lemma zenon_L467_ *) % 0.99/1.21 assert (zenon_L468_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(hskp21)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(hskp20)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (~(hskp15)) -> (c1_1 (a1643)) -> (~(c2_1 (a1643))) -> (~(c3_1 (a1643))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (ndr1_0) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> False). % 0.99/1.21 do 0 intro. intros zenon_H65 zenon_Hd0 zenon_Hcf zenon_H170 zenon_H13 zenon_Hb0 zenon_Hb2 zenon_H91 zenon_H95 zenon_H5a zenon_H17b zenon_H17a zenon_H179 zenon_Hca zenon_H27b zenon_H11 zenon_H1b0 zenon_H1af zenon_H1ad zenon_H2a7 zenon_H1ab zenon_H12a zenon_H129 zenon_H128 zenon_He8 zenon_Heb zenon_H61 zenon_H232 zenon_H191 zenon_H192 zenon_H233 zenon_H229 zenon_H228 zenon_H227 zenon_H20 zenon_H1ed zenon_H82 zenon_H83 zenon_H84 zenon_H19d zenon_H19f zenon_H2d zenon_H259 zenon_H242. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 0.99/1.21 apply (zenon_L268_); trivial. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H20. zenon_intro zenon_H62. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H38. zenon_intro zenon_H63. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H36. zenon_intro zenon_H37. % 0.99/1.21 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H8f | zenon_intro zenon_Hbd ]. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 0.99/1.21 apply (zenon_L89_); trivial. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 0.99/1.21 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H93 | zenon_intro zenon_Hd1 ]. % 0.99/1.21 apply (zenon_L42_); trivial. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H20. zenon_intro zenon_Hd2. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Ha1. zenon_intro zenon_Hd3. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_Ha3. zenon_intro zenon_Ha4. % 0.99/1.21 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hee ]. % 0.99/1.21 apply (zenon_L95_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_Hde | zenon_intro zenon_He9 ]. % 0.99/1.21 apply (zenon_L467_); trivial. % 0.99/1.21 exact (zenon_He8 zenon_He9). % 0.99/1.21 apply (zenon_L48_); trivial. % 0.99/1.21 (* end of lemma zenon_L468_ *) % 0.99/1.21 assert (zenon_L469_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp2)\/(hskp9))) -> (~(hskp9)) -> (~(hskp2)) -> (~(c3_1 (a1648))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (ndr1_0) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> (~(hskp28)) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> False). % 0.99/1.21 do 0 intro. intros zenon_H242 zenon_H259 zenon_H2d zenon_H25f zenon_Hd zenon_H19d zenon_H1a4 zenon_H1ed zenon_H20 zenon_H227 zenon_H228 zenon_H229 zenon_H1ff zenon_H3f zenon_H192 zenon_H191 zenon_H12a zenon_H129 zenon_H128 zenon_H232. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 0.99/1.21 apply (zenon_L236_); trivial. % 0.99/1.21 apply (zenon_L289_); trivial. % 0.99/1.21 (* end of lemma zenon_L469_ *) % 0.99/1.21 assert (zenon_L470_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(c0_1 (a1701))) -> (~(c1_1 (a1701))) -> (c3_1 (a1701)) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c3_1 (a1691)) -> (c2_1 (a1691)) -> (~(c1_1 (a1691))) -> (ndr1_0) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp15)) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c1_1 (a1646)) -> (c3_1 (a1646)) -> (c2_1 (a1646)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (c3_1 (a1640)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (~(hskp29)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(hskp4)) -> False). % 0.99/1.21 do 0 intro. intros zenon_Heb zenon_H36 zenon_H37 zenon_H38 zenon_H179 zenon_H17a zenon_H17b zenon_H5a zenon_Hc2 zenon_Hc1 zenon_Hc0 zenon_H20 zenon_H2a7 zenon_H11 zenon_H1ad zenon_H1af zenon_H1b0 zenon_H27b zenon_H229 zenon_H228 zenon_H227 zenon_H1ed zenon_H4e zenon_H5e zenon_H4f zenon_H83 zenon_H82 zenon_H84 zenon_H232 zenon_H230 zenon_Hca zenon_He8. % 0.99/1.21 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hee ]. % 0.99/1.21 apply (zenon_L95_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_Hde | zenon_intro zenon_He9 ]. % 0.99/1.21 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H97 | zenon_intro zenon_Hcd ]. % 0.99/1.21 apply (zenon_L383_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H69 | zenon_intro zenon_Ha2 ]. % 0.99/1.21 apply (zenon_L466_); trivial. % 0.99/1.21 apply (zenon_L49_); trivial. % 0.99/1.21 exact (zenon_He8 zenon_He9). % 0.99/1.21 (* end of lemma zenon_L470_ *) % 0.99/1.21 assert (zenon_L471_ : ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> (c1_1 (a1646)) -> (c2_1 (a1646)) -> (c0_1 (a1647)) -> (c1_1 (a1647)) -> (c3_1 (a1647)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1701)) -> (~(c1_1 (a1701))) -> (~(c0_1 (a1701))) -> (ndr1_0) -> False). % 0.99/1.21 do 0 intro. intros zenon_H5a zenon_Hde zenon_H82 zenon_H83 zenon_H84 zenon_H4e zenon_H4f zenon_H236 zenon_H237 zenon_H238 zenon_H1ed zenon_H38 zenon_H37 zenon_H36 zenon_H20. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H21 ]. % 0.99/1.21 apply (zenon_L22_); trivial. % 0.99/1.21 apply (zenon_L240_); trivial. % 0.99/1.21 (* end of lemma zenon_L471_ *) % 0.99/1.21 assert (zenon_L472_ : ((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> (~(c0_1 (a1701))) -> (~(c1_1 (a1701))) -> (c3_1 (a1701)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c2_1 (a1646)) -> (c1_1 (a1646)) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(hskp4)) -> False). % 0.99/1.21 do 0 intro. intros zenon_H23f zenon_Heb zenon_H179 zenon_H17a zenon_H17b zenon_H36 zenon_H37 zenon_H38 zenon_H1ed zenon_H4f zenon_H4e zenon_H84 zenon_H83 zenon_H82 zenon_H5a zenon_He8. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H20. zenon_intro zenon_H240. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H236. zenon_intro zenon_H241. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H237. zenon_intro zenon_H238. % 0.99/1.21 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hee ]. % 0.99/1.21 apply (zenon_L95_); trivial. % 0.99/1.21 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_Hde | zenon_intro zenon_He9 ]. % 0.99/1.21 apply (zenon_L471_); trivial. % 0.99/1.21 exact (zenon_He8 zenon_He9). % 0.99/1.21 (* end of lemma zenon_L472_ *) % 0.99/1.21 assert (zenon_L473_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (c1_1 (a1643)) -> (~(c2_1 (a1643))) -> (~(c3_1 (a1643))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp2)\/(hskp9))) -> (~(hskp9)) -> (~(hskp2)) -> (~(c3_1 (a1648))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> False). % 0.99/1.21 do 0 intro. intros zenon_H15a zenon_H118 zenon_Hf0 zenon_H1 zenon_H75 zenon_H170 zenon_Hca zenon_H27b zenon_H1b0 zenon_H1af zenon_H1ad zenon_H2a7 zenon_H1ab zenon_H61 zenon_H82 zenon_H83 zenon_H84 zenon_H19f zenon_H1ff zenon_H16a zenon_H68 zenon_Hce zenon_Hcf zenon_H112 zenon_Hb2 zenon_H229 zenon_H228 zenon_H227 zenon_H95 zenon_Hd0 zenon_H242 zenon_H259 zenon_H2d zenon_H25f zenon_Hd zenon_H19d zenon_H1a4 zenon_H1ed zenon_H233 zenon_H192 zenon_H191 zenon_H232 zenon_H5a zenon_H17b zenon_H17a zenon_H179 zenon_He8 zenon_Heb zenon_H65 zenon_Hf2. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 0.99/1.21 apply (zenon_L292_); trivial. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 0.99/1.21 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 0.99/1.21 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 0.99/1.21 apply (zenon_L468_); trivial. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H20. zenon_intro zenon_Hcb. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc1. zenon_intro zenon_Hcc. % 0.99/1.21 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc2. zenon_intro zenon_Hc0. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 0.99/1.21 apply (zenon_L290_); trivial. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H20. zenon_intro zenon_H62. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H38. zenon_intro zenon_H63. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H36. zenon_intro zenon_H37. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 0.99/1.21 apply (zenon_L469_); trivial. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 0.99/1.21 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 0.99/1.21 apply (zenon_L470_); trivial. % 0.99/1.21 apply (zenon_L472_); trivial. % 0.99/1.21 apply (zenon_L269_); trivial. % 0.99/1.21 apply (zenon_L113_); trivial. % 0.99/1.21 apply (zenon_L115_); trivial. % 0.99/1.21 (* end of lemma zenon_L473_ *) % 0.99/1.21 assert (zenon_L474_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(hskp21)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(hskp20)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> (~(hskp24)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c3_1 (a1648))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1697))) -> (~(c2_1 (a1697))) -> (~(c0_1 (a1697))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> False). % 0.99/1.21 do 0 intro. intros zenon_Hd0 zenon_Hcf zenon_H170 zenon_H13 zenon_Hb0 zenon_Hb2 zenon_H91 zenon_H95 zenon_H232 zenon_H191 zenon_H192 zenon_H1b zenon_H233 zenon_H229 zenon_H228 zenon_H227 zenon_H1c6 zenon_H1a4 zenon_H17b zenon_H17a zenon_H179 zenon_H218 zenon_H217 zenon_H216 zenon_H82 zenon_H83 zenon_H84 zenon_H1ed zenon_He8 zenon_Heb zenon_H242 zenon_H61. % 0.99/1.21 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H8f | zenon_intro zenon_Hbd ]. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 0.99/1.21 apply (zenon_L89_); trivial. % 0.99/1.21 apply (zenon_L280_); trivial. % 0.99/1.21 apply (zenon_L48_); trivial. % 0.99/1.21 (* end of lemma zenon_L474_ *) % 0.99/1.21 assert (zenon_L475_ : ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7)))))) -> (~(hskp15)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (c1_1 (a1646)) -> (c3_1 (a1646)) -> (c2_1 (a1646)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (c3_1 (a1640)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (ndr1_0) -> (~(c3_1 (a1643))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> False). % 0.99/1.21 do 0 intro. intros zenon_H1ab zenon_H17b zenon_H17a zenon_H179 zenon_H97 zenon_H11 zenon_H1ed zenon_Hde zenon_H4e zenon_H5e zenon_H4f zenon_H83 zenon_H82 zenon_H84 zenon_H27b zenon_H20 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1b0. % 0.99/1.21 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H13b | zenon_intro zenon_H1ac ]. % 0.99/1.21 apply (zenon_L118_); trivial. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H69 | zenon_intro zenon_H127 ]. % 0.99/1.22 apply (zenon_L465_); trivial. % 0.99/1.22 apply (zenon_L125_); trivial. % 0.99/1.22 (* end of lemma zenon_L475_ *) % 0.99/1.22 assert (zenon_L476_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (~(hskp15)) -> (~(c3_1 (a1643))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (c1_1 (a1646)) -> (c3_1 (a1646)) -> (c2_1 (a1646)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (c3_1 (a1640)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (c3_1 (a1712)) -> (c2_1 (a1712)) -> (c0_1 (a1712)) -> (ndr1_0) -> (~(hskp20)) -> (~(hskp21)) -> False). % 0.99/1.22 do 0 intro. intros zenon_Hca zenon_H179 zenon_H17a zenon_H17b zenon_H1ab zenon_H11 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1b0 zenon_H1ed zenon_Hde zenon_H4e zenon_H5e zenon_H4f zenon_H83 zenon_H82 zenon_H84 zenon_H27b zenon_Hb2 zenon_Ha4 zenon_Ha3 zenon_Ha1 zenon_H20 zenon_H91 zenon_Hb0. % 0.99/1.22 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H97 | zenon_intro zenon_Hcd ]. % 0.99/1.22 apply (zenon_L475_); trivial. % 0.99/1.22 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H69 | zenon_intro zenon_Ha2 ]. % 0.99/1.22 apply (zenon_L465_); trivial. % 0.99/1.22 apply (zenon_L46_); trivial. % 0.99/1.22 (* end of lemma zenon_L476_ *) % 0.99/1.22 assert (zenon_L477_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(c0_1 (a1701))) -> (~(c1_1 (a1701))) -> (c3_1 (a1701)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(hskp21)) -> (~(hskp20)) -> (ndr1_0) -> (c0_1 (a1712)) -> (c2_1 (a1712)) -> (c3_1 (a1712)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (c3_1 (a1640)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c2_1 (a1646)) -> (c3_1 (a1646)) -> (c1_1 (a1646)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c1_1 (a1643)) -> (~(c2_1 (a1643))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (~(c3_1 (a1643))) -> (~(hskp15)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(hskp4)) -> False). % 0.99/1.22 do 0 intro. intros zenon_Heb zenon_H36 zenon_H37 zenon_H38 zenon_H5a zenon_Hb0 zenon_H91 zenon_H20 zenon_Ha1 zenon_Ha3 zenon_Ha4 zenon_Hb2 zenon_H27b zenon_H84 zenon_H82 zenon_H83 zenon_H4f zenon_H5e zenon_H4e zenon_H1ed zenon_H1b0 zenon_H1af zenon_H1ae zenon_H1ad zenon_H11 zenon_H1ab zenon_H17b zenon_H17a zenon_H179 zenon_Hca zenon_He8. % 0.99/1.22 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hee ]. % 0.99/1.22 apply (zenon_L95_); trivial. % 0.99/1.22 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_Hde | zenon_intro zenon_He9 ]. % 0.99/1.22 apply (zenon_L476_); trivial. % 0.99/1.22 exact (zenon_He8 zenon_He9). % 0.99/1.22 (* end of lemma zenon_L477_ *) % 0.99/1.22 assert (zenon_L478_ : ((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(hskp21)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(hskp20)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> (~(hskp15)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> False). % 0.99/1.22 do 0 intro. intros zenon_H60 zenon_Hd0 zenon_Hcf zenon_H170 zenon_H13 zenon_Hb0 zenon_Hb2 zenon_H91 zenon_H95 zenon_H289 zenon_H28a zenon_H28b zenon_Heb zenon_He8 zenon_H1ab zenon_H1ed zenon_H84 zenon_H83 zenon_H82 zenon_H1ad zenon_H1af zenon_H1b0 zenon_H11 zenon_H27b zenon_Hca zenon_H179 zenon_H17a zenon_H17b zenon_H5a zenon_H13c zenon_H13d zenon_H13e zenon_H5b zenon_H299 zenon_H61. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H20. zenon_intro zenon_H62. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H38. zenon_intro zenon_H63. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H36. zenon_intro zenon_H37. % 0.99/1.22 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H8f | zenon_intro zenon_Hbd ]. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 0.99/1.22 apply (zenon_L89_); trivial. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 0.99/1.22 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H93 | zenon_intro zenon_Hd1 ]. % 0.99/1.22 apply (zenon_L42_); trivial. % 0.99/1.22 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H20. zenon_intro zenon_Hd2. % 0.99/1.22 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Ha1. zenon_intro zenon_Hd3. % 0.99/1.22 apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_Ha3. zenon_intro zenon_Ha4. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 0.99/1.22 apply (zenon_L355_); trivial. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 0.99/1.22 apply (zenon_L477_); trivial. % 0.99/1.22 apply (zenon_L414_); trivial. % 0.99/1.22 apply (zenon_L48_); trivial. % 0.99/1.22 (* end of lemma zenon_L478_ *) % 0.99/1.22 assert (zenon_L479_ : ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> (~(hskp15)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> (~(c3_1 (a1648))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (~(hskp19)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp18)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c3_1 (a1640)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(hskp16)) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (~(hskp20)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(hskp21)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> False). % 0.99/1.22 do 0 intro. intros zenon_H222 zenon_H65 zenon_H1ab zenon_H1ad zenon_H1af zenon_H1b0 zenon_H11 zenon_H27b zenon_Hca zenon_H5a zenon_H5b zenon_H61 zenon_H242 zenon_Heb zenon_He8 zenon_H1ed zenon_H179 zenon_H17a zenon_H17b zenon_H1a4 zenon_H1c6 zenon_H227 zenon_H228 zenon_H229 zenon_H233 zenon_H192 zenon_H191 zenon_H232 zenon_H13 zenon_H170 zenon_Hcf zenon_H299 zenon_H16a zenon_Hd zenon_H119 zenon_H11b zenon_H211 zenon_H84 zenon_H82 zenon_H83 zenon_H13e zenon_H13d zenon_H13c zenon_H73 zenon_H1 zenon_H75 zenon_H28b zenon_H28a zenon_H289 zenon_H91 zenon_H95 zenon_Hb0 zenon_Hb2 zenon_Hd0. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 0.99/1.22 apply (zenon_L447_); trivial. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H20. zenon_intro zenon_H220. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H216. zenon_intro zenon_H221. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H217. zenon_intro zenon_H218. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 0.99/1.22 apply (zenon_L474_); trivial. % 0.99/1.22 apply (zenon_L478_); trivial. % 0.99/1.22 (* end of lemma zenon_L479_ *) % 0.99/1.22 assert (zenon_L480_ : ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp9)) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp9))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (ndr1_0) -> (~(hskp2)) -> False). % 0.99/1.22 do 0 intro. intros zenon_H19f zenon_Hd zenon_H191 zenon_H192 zenon_H1ae zenon_H13c zenon_H13d zenon_H13e zenon_H16a zenon_H84 zenon_H83 zenon_H82 zenon_H20 zenon_H19d. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H77 | zenon_intro zenon_H1a0 ]. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H43 | zenon_intro zenon_H16b ]. % 0.99/1.22 apply (zenon_L186_); trivial. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H56 | zenon_intro zenon_He ]. % 0.99/1.22 apply (zenon_L111_); trivial. % 0.99/1.22 exact (zenon_Hd zenon_He). % 0.99/1.22 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H81 | zenon_intro zenon_H19e ]. % 0.99/1.22 apply (zenon_L36_); trivial. % 0.99/1.22 exact (zenon_H19d zenon_H19e). % 0.99/1.22 (* end of lemma zenon_L480_ *) % 0.99/1.22 assert (zenon_L481_ : ((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (~(hskp2)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp9))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(hskp9)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> False). % 0.99/1.22 do 0 intro. intros zenon_H131 zenon_H299 zenon_H28b zenon_H28a zenon_H289 zenon_H19d zenon_H82 zenon_H83 zenon_H84 zenon_H16a zenon_H13e zenon_H13d zenon_H13c zenon_H192 zenon_H191 zenon_Hd zenon_H19f. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H20. zenon_intro zenon_H133. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H120. zenon_intro zenon_H134. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 0.99/1.22 apply (zenon_L355_); trivial. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 0.99/1.22 apply (zenon_L480_); trivial. % 0.99/1.22 apply (zenon_L68_); trivial. % 0.99/1.22 (* end of lemma zenon_L481_ *) % 0.99/1.22 assert (zenon_L482_ : ((ndr1_0)/\((c0_1 (a1648))/\((c2_1 (a1648))/\(~(c3_1 (a1648)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp2)) -> (~(hskp9)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp2)\/(hskp9))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp9))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> False). % 0.99/1.22 do 0 intro. intros zenon_H1a1 zenon_H159 zenon_H136 zenon_H5b zenon_H299 zenon_H11b zenon_H28b zenon_H28a zenon_H289 zenon_H1c6 zenon_H211 zenon_H222 zenon_Hf2 zenon_H65 zenon_Heb zenon_He8 zenon_H179 zenon_H17a zenon_H17b zenon_H5a zenon_H232 zenon_H233 zenon_H1ed zenon_H19d zenon_Hd zenon_H25f zenon_H259 zenon_H242 zenon_Hd0 zenon_H95 zenon_H227 zenon_H228 zenon_H229 zenon_Hb2 zenon_H112 zenon_Hcf zenon_Hce zenon_H68 zenon_H16a zenon_H1ff zenon_H19f zenon_H84 zenon_H83 zenon_H82 zenon_H61 zenon_H1ab zenon_H2a7 zenon_H1ad zenon_H1af zenon_H1b0 zenon_H27b zenon_Hca zenon_H170 zenon_H75 zenon_H1 zenon_Hf0 zenon_H118 zenon_H15a. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 0.99/1.22 apply (zenon_L473_); trivial. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 0.99/1.22 apply (zenon_L278_); trivial. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 0.99/1.22 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H119 | zenon_intro zenon_H131 ]. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 0.99/1.22 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 0.99/1.22 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 0.99/1.22 apply (zenon_L479_); trivial. % 0.99/1.22 apply (zenon_L452_); trivial. % 0.99/1.22 apply (zenon_L277_); trivial. % 0.99/1.22 apply (zenon_L113_); trivial. % 0.99/1.22 apply (zenon_L481_); trivial. % 0.99/1.22 apply (zenon_L412_); trivial. % 0.99/1.22 apply (zenon_L136_); trivial. % 0.99/1.22 (* end of lemma zenon_L482_ *) % 0.99/1.22 assert (zenon_L483_ : ((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> (~(c0_1 (a1701))) -> (~(c1_1 (a1701))) -> (c3_1 (a1701)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c2_1 (a1646)) -> (c1_1 (a1646)) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(hskp4)) -> False). % 0.99/1.22 do 0 intro. intros zenon_H23f zenon_Heb zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_H36 zenon_H37 zenon_H38 zenon_H1ed zenon_H4f zenon_H4e zenon_H84 zenon_H83 zenon_H82 zenon_H5a zenon_He8. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H20. zenon_intro zenon_H240. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H236. zenon_intro zenon_H241. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H237. zenon_intro zenon_H238. % 0.99/1.22 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hee ]. % 0.99/1.22 apply (zenon_L52_); trivial. % 0.99/1.22 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_Hde | zenon_intro zenon_He9 ]. % 0.99/1.22 apply (zenon_L471_); trivial. % 0.99/1.22 exact (zenon_He8 zenon_He9). % 0.99/1.22 (* end of lemma zenon_L483_ *) % 0.99/1.22 assert (zenon_L484_ : ((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (c3_1 (a1691)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (~(hskp15)) -> (c1_1 (a1643)) -> (~(c2_1 (a1643))) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> (~(c1_1 (a1691))) -> (c2_1 (a1691)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> False). % 0.99/1.22 do 0 intro. intros zenon_H60 zenon_H61 zenon_H242 zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_H5a zenon_H17b zenon_H17a zenon_H179 zenon_Hca zenon_Hc2 zenon_H27b zenon_H11 zenon_H1b0 zenon_H1af zenon_H1ad zenon_H82 zenon_H83 zenon_H84 zenon_H1ed zenon_H2a7 zenon_H227 zenon_H228 zenon_H229 zenon_Hc0 zenon_Hc1 zenon_H232 zenon_He8 zenon_Heb zenon_H1 zenon_H41. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H20. zenon_intro zenon_H62. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H38. zenon_intro zenon_H63. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H36. zenon_intro zenon_H37. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 0.99/1.22 apply (zenon_L24_); trivial. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 0.99/1.22 apply (zenon_L470_); trivial. % 0.99/1.22 apply (zenon_L483_); trivial. % 0.99/1.22 (* end of lemma zenon_L484_ *) % 0.99/1.22 assert (zenon_L485_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(c0_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c3_1 (a1644))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (~(hskp15)) -> (c1_1 (a1643)) -> (~(c2_1 (a1643))) -> (~(c3_1 (a1643))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> False). % 0.99/1.22 do 0 intro. intros zenon_Hf2 zenon_Hd0 zenon_Hcf zenon_H170 zenon_H13 zenon_Hb2 zenon_H95 zenon_Hd5 zenon_Hd6 zenon_Hd7 zenon_Hca zenon_H27b zenon_H11 zenon_H1b0 zenon_H1af zenon_H1ad zenon_H2a7 zenon_H227 zenon_H228 zenon_H229 zenon_H1ab zenon_H12a zenon_H129 zenon_H128 zenon_H19f zenon_H19d zenon_H84 zenon_H83 zenon_H82 zenon_H192 zenon_H191 zenon_H1ed zenon_H17b zenon_H17a zenon_H179 zenon_H2d zenon_H259 zenon_He8 zenon_Heb zenon_H61 zenon_H242 zenon_H233 zenon_H232 zenon_H41 zenon_H1 zenon_H5a zenon_H65 zenon_Hce. % 0.99/1.22 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 0.99/1.22 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 0.99/1.22 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H8f | zenon_intro zenon_Hbd ]. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 0.99/1.22 apply (zenon_L89_); trivial. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 0.99/1.22 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H93 | zenon_intro zenon_Hd1 ]. % 0.99/1.22 apply (zenon_L42_); trivial. % 0.99/1.22 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H20. zenon_intro zenon_Hd2. % 0.99/1.22 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Ha1. zenon_intro zenon_Hd3. % 0.99/1.22 apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_Ha3. zenon_intro zenon_Ha4. % 0.99/1.22 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hee ]. % 0.99/1.22 apply (zenon_L52_); trivial. % 0.99/1.22 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_Hde | zenon_intro zenon_He9 ]. % 0.99/1.22 apply (zenon_L467_); trivial. % 0.99/1.22 exact (zenon_He8 zenon_He9). % 0.99/1.22 apply (zenon_L48_); trivial. % 0.99/1.22 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H20. zenon_intro zenon_Hcb. % 0.99/1.22 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc1. zenon_intro zenon_Hcc. % 0.99/1.22 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc2. zenon_intro zenon_Hc0. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 0.99/1.22 apply (zenon_L268_); trivial. % 0.99/1.22 apply (zenon_L484_); trivial. % 0.99/1.22 apply (zenon_L55_); trivial. % 0.99/1.22 (* end of lemma zenon_L485_ *) % 0.99/1.22 assert (zenon_L486_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (c1_1 (a1643)) -> (~(c2_1 (a1643))) -> (~(c3_1 (a1643))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> (~(c0_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c3_1 (a1644))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> False). % 0.99/1.22 do 0 intro. intros zenon_H15a zenon_H118 zenon_H170 zenon_Hca zenon_H27b zenon_H1b0 zenon_H1af zenon_H1ad zenon_H2a7 zenon_H1ab zenon_H19f zenon_H19d zenon_H84 zenon_H83 zenon_H82 zenon_H192 zenon_H191 zenon_H1ed zenon_H17b zenon_H17a zenon_H179 zenon_H2d zenon_H259 zenon_H61 zenon_H242 zenon_H233 zenon_H232 zenon_H41 zenon_H1 zenon_H5a zenon_H65 zenon_H5b zenon_H68 zenon_Hce zenon_Hcf zenon_H112 zenon_Hb2 zenon_H229 zenon_H228 zenon_H227 zenon_H95 zenon_Hd0 zenon_Hd5 zenon_Hd6 zenon_Hd7 zenon_He8 zenon_Heb zenon_Hf2. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 0.99/1.22 apply (zenon_L227_); trivial. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 0.99/1.22 apply (zenon_L485_); trivial. % 0.99/1.22 apply (zenon_L271_); trivial. % 0.99/1.22 apply (zenon_L122_); trivial. % 0.99/1.22 (* end of lemma zenon_L486_ *) % 0.99/1.22 assert (zenon_L487_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (~(hskp15)) -> (~(c3_1 (a1643))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (c1_1 (a1646)) -> (c3_1 (a1646)) -> (c2_1 (a1646)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (c3_1 (a1640)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (ndr1_0) -> (~(c1_1 (a1691))) -> (c2_1 (a1691)) -> (c3_1 (a1691)) -> False). % 0.99/1.22 do 0 intro. intros zenon_Hca zenon_H179 zenon_H17a zenon_H17b zenon_H1ab zenon_H11 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1b0 zenon_H1ed zenon_Hde zenon_H4e zenon_H5e zenon_H4f zenon_H83 zenon_H82 zenon_H84 zenon_H27b zenon_H20 zenon_Hc0 zenon_Hc1 zenon_Hc2. % 0.99/1.22 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H97 | zenon_intro zenon_Hcd ]. % 0.99/1.22 apply (zenon_L475_); trivial. % 0.99/1.22 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H69 | zenon_intro zenon_Ha2 ]. % 0.99/1.22 apply (zenon_L465_); trivial. % 0.99/1.22 apply (zenon_L49_); trivial. % 0.99/1.22 (* end of lemma zenon_L487_ *) % 0.99/1.22 assert (zenon_L488_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(c0_1 (a1701))) -> (~(c1_1 (a1701))) -> (c3_1 (a1701)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c3_1 (a1691)) -> (c2_1 (a1691)) -> (~(c1_1 (a1691))) -> (ndr1_0) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (c3_1 (a1640)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c2_1 (a1646)) -> (c3_1 (a1646)) -> (c1_1 (a1646)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c1_1 (a1643)) -> (~(c2_1 (a1643))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (~(c3_1 (a1643))) -> (~(hskp15)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(hskp4)) -> False). % 0.99/1.22 do 0 intro. intros zenon_Heb zenon_H36 zenon_H37 zenon_H38 zenon_H5a zenon_Hc2 zenon_Hc1 zenon_Hc0 zenon_H20 zenon_H27b zenon_H84 zenon_H82 zenon_H83 zenon_H4f zenon_H5e zenon_H4e zenon_H1ed zenon_H1b0 zenon_H1af zenon_H1ae zenon_H1ad zenon_H11 zenon_H1ab zenon_H17b zenon_H17a zenon_H179 zenon_Hca zenon_He8. % 0.99/1.22 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hee ]. % 0.99/1.22 apply (zenon_L95_); trivial. % 0.99/1.22 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_Hde | zenon_intro zenon_He9 ]. % 0.99/1.22 apply (zenon_L487_); trivial. % 0.99/1.22 exact (zenon_He8 zenon_He9). % 0.99/1.22 (* end of lemma zenon_L488_ *) % 0.99/1.22 assert (zenon_L489_ : ((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (c3_1 (a1691)) -> (c2_1 (a1691)) -> (~(c1_1 (a1691))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (~(hskp15)) -> (c1_1 (a1643)) -> (~(c2_1 (a1643))) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> False). % 0.99/1.22 do 0 intro. intros zenon_H60 zenon_H61 zenon_H299 zenon_H5b zenon_H13e zenon_H13d zenon_H13c zenon_H5a zenon_H17b zenon_H17a zenon_H179 zenon_Hca zenon_Hc2 zenon_Hc1 zenon_Hc0 zenon_H27b zenon_H11 zenon_H1b0 zenon_H1af zenon_H1ad zenon_H82 zenon_H83 zenon_H84 zenon_H1ed zenon_H1ab zenon_He8 zenon_Heb zenon_H28b zenon_H28a zenon_H289 zenon_H1 zenon_H41. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H20. zenon_intro zenon_H62. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H38. zenon_intro zenon_H63. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H36. zenon_intro zenon_H37. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 0.99/1.22 apply (zenon_L24_); trivial. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 0.99/1.22 apply (zenon_L355_); trivial. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 0.99/1.22 apply (zenon_L488_); trivial. % 0.99/1.22 apply (zenon_L414_); trivial. % 0.99/1.22 (* end of lemma zenon_L489_ *) % 0.99/1.22 assert (zenon_L490_ : ((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> (~(hskp18)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (~(c3_1 (a1648))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (~(hskp19)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> (~(hskp0)) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> (~(hskp15)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> False). % 0.99/1.22 do 0 intro. intros zenon_Hc9 zenon_H222 zenon_H119 zenon_H11b zenon_H61 zenon_H242 zenon_Heb zenon_He8 zenon_H211 zenon_H13e zenon_H13d zenon_H13c zenon_H1ed zenon_H84 zenon_H83 zenon_H82 zenon_H1a4 zenon_H1c6 zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_H227 zenon_H228 zenon_H229 zenon_H233 zenon_H192 zenon_H191 zenon_H232 zenon_H13 zenon_H170 zenon_H41 zenon_H1 zenon_H289 zenon_H28a zenon_H28b zenon_H1ab zenon_H1ad zenon_H1af zenon_H1b0 zenon_H11 zenon_H27b zenon_Hca zenon_H179 zenon_H17a zenon_H17b zenon_H5a zenon_H5b zenon_H299 zenon_H65. % 0.99/1.22 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H20. zenon_intro zenon_Hcb. % 0.99/1.22 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc1. zenon_intro zenon_Hcc. % 0.99/1.22 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc2. zenon_intro zenon_Hc0. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 0.99/1.22 apply (zenon_L423_); trivial. % 0.99/1.22 apply (zenon_L489_); trivial. % 0.99/1.22 apply (zenon_L367_); trivial. % 0.99/1.22 (* end of lemma zenon_L490_ *) % 0.99/1.22 assert (zenon_L491_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> (~(hskp21)) -> (~(hskp20)) -> (ndr1_0) -> (c0_1 (a1712)) -> (c2_1 (a1712)) -> (c3_1 (a1712)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (c3_1 (a1640)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c2_1 (a1646)) -> (c3_1 (a1646)) -> (c1_1 (a1646)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c1_1 (a1643)) -> (~(c2_1 (a1643))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (~(c3_1 (a1643))) -> (~(hskp15)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(hskp4)) -> False). % 0.99/1.22 do 0 intro. intros zenon_Heb zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_Hb0 zenon_H91 zenon_H20 zenon_Ha1 zenon_Ha3 zenon_Ha4 zenon_Hb2 zenon_H27b zenon_H84 zenon_H82 zenon_H83 zenon_H4f zenon_H5e zenon_H4e zenon_H1ed zenon_H1b0 zenon_H1af zenon_H1ae zenon_H1ad zenon_H11 zenon_H1ab zenon_H17b zenon_H17a zenon_H179 zenon_Hca zenon_He8. % 0.99/1.22 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hee ]. % 0.99/1.22 apply (zenon_L52_); trivial. % 0.99/1.22 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_Hde | zenon_intro zenon_He9 ]. % 0.99/1.22 apply (zenon_L476_); trivial. % 0.99/1.22 exact (zenon_He8 zenon_He9). % 0.99/1.22 (* end of lemma zenon_L491_ *) % 0.99/1.22 assert (zenon_L492_ : ((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (c3_1 (a1701)) -> (~(c1_1 (a1701))) -> (~(c0_1 (a1701))) -> (c2_1 (a1682)) -> (c1_1 (a1682)) -> (~(c3_1 (a1682))) -> False). % 0.99/1.22 do 0 intro. intros zenon_Hbd zenon_H5b zenon_H38 zenon_H37 zenon_H36 zenon_H46 zenon_H45 zenon_H44. % 0.99/1.22 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_H20. zenon_intro zenon_Hbe. % 0.99/1.22 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hbf. % 0.99/1.22 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Hb5. zenon_intro zenon_Hb6. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H35 | zenon_intro zenon_H5f ]. % 0.99/1.22 apply (zenon_L22_); trivial. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H43 | zenon_intro zenon_H56 ]. % 0.99/1.22 apply (zenon_L25_); trivial. % 0.99/1.22 apply (zenon_L47_); trivial. % 0.99/1.22 (* end of lemma zenon_L492_ *) % 0.99/1.22 assert (zenon_L493_ : ((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> (~(hskp0)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(hskp20)) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> (~(hskp15)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(hskp21)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(c3_1 (a1682))) -> (c1_1 (a1682)) -> (c2_1 (a1682)) -> (~(hskp18)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> False). % 0.99/1.22 do 0 intro. intros zenon_H60 zenon_Hd0 zenon_H41 zenon_H1 zenon_H95 zenon_H91 zenon_H289 zenon_H28a zenon_H28b zenon_Heb zenon_He8 zenon_H1ab zenon_H1ed zenon_H84 zenon_H83 zenon_H82 zenon_H1ad zenon_H1af zenon_H1b0 zenon_H11 zenon_H27b zenon_H17b zenon_H17a zenon_H179 zenon_Hb2 zenon_Hb0 zenon_Hca zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_H5b zenon_H44 zenon_H45 zenon_H46 zenon_H119 zenon_H11b zenon_H13e zenon_H13d zenon_H13c zenon_H299 zenon_Hcf zenon_H61. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H20. zenon_intro zenon_H62. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H38. zenon_intro zenon_H63. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H36. zenon_intro zenon_H37. % 0.99/1.22 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H8f | zenon_intro zenon_Hbd ]. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 0.99/1.22 apply (zenon_L24_); trivial. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 0.99/1.22 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H93 | zenon_intro zenon_Hd1 ]. % 0.99/1.22 apply (zenon_L42_); trivial. % 0.99/1.22 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H20. zenon_intro zenon_Hd2. % 0.99/1.22 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Ha1. zenon_intro zenon_Hd3. % 0.99/1.22 apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_Ha3. zenon_intro zenon_Ha4. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 0.99/1.22 apply (zenon_L355_); trivial. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 0.99/1.22 apply (zenon_L491_); trivial. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H35 | zenon_intro zenon_H5f ]. % 0.99/1.22 apply (zenon_L22_); trivial. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H43 | zenon_intro zenon_H56 ]. % 0.99/1.22 apply (zenon_L361_); trivial. % 0.99/1.22 apply (zenon_L431_); trivial. % 0.99/1.22 apply (zenon_L492_); trivial. % 0.99/1.22 (* end of lemma zenon_L493_ *) % 0.99/1.22 assert (zenon_L494_ : ((ndr1_0)/\((~(c0_1 (a1644)))/\((~(c1_1 (a1644)))/\(~(c3_1 (a1644)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1648))/\((c2_1 (a1648))/\(~(c3_1 (a1648))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> False). % 0.99/1.22 do 0 intro. intros zenon_H158 zenon_H224 zenon_H159 zenon_H136 zenon_H75 zenon_H1ff zenon_H299 zenon_H28b zenon_H28a zenon_H289 zenon_H11b zenon_H1c6 zenon_H211 zenon_H222 zenon_Hf2 zenon_Hd0 zenon_H95 zenon_H227 zenon_H228 zenon_H229 zenon_Hb2 zenon_H112 zenon_Hcf zenon_Hce zenon_H68 zenon_H5b zenon_H65 zenon_H5a zenon_H1 zenon_H41 zenon_H232 zenon_H233 zenon_H242 zenon_H61 zenon_H259 zenon_H179 zenon_H17a zenon_H17b zenon_H1ed zenon_H1ab zenon_H2a7 zenon_H1ad zenon_H1af zenon_H1b0 zenon_H27b zenon_Hca zenon_H170 zenon_H118 zenon_H15a zenon_Heb zenon_He8 zenon_H82 zenon_H83 zenon_H84 zenon_H1d1 zenon_H19d zenon_H19f zenon_Hf0. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H20. zenon_intro zenon_H15b. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_Hd5. zenon_intro zenon_H15c. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_Hd6. zenon_intro zenon_Hd7. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 0.99/1.22 apply (zenon_L222_); trivial. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 0.99/1.22 apply (zenon_L486_); trivial. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 0.99/1.22 apply (zenon_L278_); trivial. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 0.99/1.22 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H119 | zenon_intro zenon_H131 ]. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 0.99/1.22 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 0.99/1.22 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 0.99/1.22 apply (zenon_L457_); trivial. % 0.99/1.22 apply (zenon_L478_); trivial. % 0.99/1.22 apply (zenon_L458_); trivial. % 0.99/1.22 apply (zenon_L490_); trivial. % 0.99/1.22 apply (zenon_L277_); trivial. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H20. zenon_intro zenon_H66. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H45. zenon_intro zenon_H67. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.99/1.22 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 0.99/1.22 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 0.99/1.22 apply (zenon_L424_); trivial. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H20. zenon_intro zenon_H220. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H216. zenon_intro zenon_H221. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H217. zenon_intro zenon_H218. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 0.99/1.22 apply (zenon_L425_); trivial. % 0.99/1.22 apply (zenon_L493_); trivial. % 0.99/1.22 apply (zenon_L65_); trivial. % 0.99/1.22 apply (zenon_L55_); trivial. % 0.99/1.22 apply (zenon_L428_); trivial. % 0.99/1.22 apply (zenon_L114_); trivial. % 0.99/1.22 apply (zenon_L122_); trivial. % 0.99/1.22 (* end of lemma zenon_L494_ *) % 0.99/1.22 assert (zenon_L495_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> (~(hskp12)) -> (~(hskp5)) -> ((hskp12)\/((hskp5)\/(hskp24))) -> False). % 0.99/1.22 do 0 intro. intros zenon_H65 zenon_H61 zenon_H5a zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1ed zenon_H1 zenon_H41 zenon_H17 zenon_H3 zenon_H2a0. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 0.99/1.22 apply (zenon_L400_); trivial. % 0.99/1.22 apply (zenon_L164_); trivial. % 0.99/1.22 (* end of lemma zenon_L495_ *) % 0.99/1.22 assert (zenon_L496_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> (~(hskp12)) -> (~(hskp5)) -> ((hskp12)\/((hskp5)\/(hskp24))) -> False). % 0.99/1.22 do 0 intro. intros zenon_H65 zenon_H61 zenon_H299 zenon_H5b zenon_H13e zenon_H13d zenon_H13c zenon_H5a zenon_H28b zenon_H28a zenon_H289 zenon_H1 zenon_H41 zenon_H17 zenon_H3 zenon_H2a0. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 0.99/1.22 apply (zenon_L400_); trivial. % 0.99/1.22 apply (zenon_L415_); trivial. % 0.99/1.22 (* end of lemma zenon_L496_ *) % 0.99/1.22 assert (zenon_L497_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> (c3_1 (a1646)) -> (c2_1 (a1646)) -> (c1_1 (a1646)) -> (ndr1_0) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp29)) -> (~(hskp5)) -> False). % 0.99/1.22 do 0 intro. intros zenon_H294 zenon_H5e zenon_H4f zenon_H4e zenon_H20 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1ed zenon_H230 zenon_H3. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H21 | zenon_intro zenon_H295 ]. % 0.99/1.22 apply (zenon_L162_); trivial. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H231 | zenon_intro zenon_H4 ]. % 0.99/1.22 exact (zenon_H230 zenon_H231). % 0.99/1.22 exact (zenon_H3 zenon_H4). % 0.99/1.22 (* end of lemma zenon_L497_ *) % 0.99/1.22 assert (zenon_L498_ : ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (c2_1 (a1646)) -> (c1_1 (a1646)) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16)))))) -> (ndr1_0) -> (c0_1 (a1647)) -> (c1_1 (a1647)) -> (c3_1 (a1647)) -> False). % 0.99/1.22 do 0 intro. intros zenon_H1ed zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H4f zenon_H4e zenon_H21 zenon_H20 zenon_H236 zenon_H237 zenon_H238. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1ee ]. % 0.99/1.22 apply (zenon_L158_); trivial. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H56 | zenon_intro zenon_H1e9 ]. % 0.99/1.22 apply (zenon_L27_); trivial. % 0.99/1.22 apply (zenon_L230_); trivial. % 0.99/1.22 (* end of lemma zenon_L498_ *) % 0.99/1.22 assert (zenon_L499_ : ((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> ((hskp12)\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> (~(hskp0)) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> False). % 0.99/1.22 do 0 intro. intros zenon_H155 zenon_H15a zenon_H242 zenon_H1ed zenon_H294 zenon_H1ab zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H2a0 zenon_H3 zenon_H41 zenon_H1 zenon_H289 zenon_H28a zenon_H28b zenon_H5a zenon_H5b zenon_H299 zenon_H61 zenon_H65. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 0.99/1.22 apply (zenon_L496_); trivial. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 0.99/1.22 apply (zenon_L201_); trivial. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 0.99/1.22 apply (zenon_L497_); trivial. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H20. zenon_intro zenon_H240. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H236. zenon_intro zenon_H241. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H237. zenon_intro zenon_H238. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H21 ]. % 0.99/1.22 apply (zenon_L200_); trivial. % 0.99/1.22 apply (zenon_L498_); trivial. % 0.99/1.22 (* end of lemma zenon_L499_ *) % 0.99/1.22 assert (zenon_L500_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> (~(hskp5)) -> ((hskp12)\/((hskp5)\/(hskp24))) -> ((hskp10)\/((hskp18)\/(hskp11))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> False). % 0.99/1.22 do 0 intro. intros zenon_H159 zenon_H242 zenon_H294 zenon_H1ab zenon_H289 zenon_H28a zenon_H28b zenon_H5b zenon_H299 zenon_H65 zenon_H61 zenon_H5a zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1ed zenon_H1 zenon_H41 zenon_H3 zenon_H2a0 zenon_H18b zenon_H189 zenon_H132 zenon_H136 zenon_H15a. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 0.99/1.22 apply (zenon_L495_); trivial. % 0.99/1.22 apply (zenon_L105_); trivial. % 0.99/1.22 apply (zenon_L499_); trivial. % 0.99/1.22 (* end of lemma zenon_L500_ *) % 0.99/1.22 assert (zenon_L501_ : ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (c1_1 (a1646)) -> (c3_1 (a1646)) -> (c2_1 (a1646)) -> (forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28)))))) -> (ndr1_0) -> (c0_1 (a1647)) -> (c1_1 (a1647)) -> (c3_1 (a1647)) -> False). % 0.99/1.22 do 0 intro. intros zenon_H1ed zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H4e zenon_H5e zenon_H4f zenon_H275 zenon_H20 zenon_H236 zenon_H237 zenon_H238. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1ee ]. % 0.99/1.22 apply (zenon_L158_); trivial. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H56 | zenon_intro zenon_H1e9 ]. % 0.99/1.22 apply (zenon_L463_); trivial. % 0.99/1.22 apply (zenon_L230_); trivial. % 0.99/1.22 (* end of lemma zenon_L501_ *) % 0.99/1.22 assert (zenon_L502_ : ((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp5))) -> (c2_1 (a1646)) -> (c3_1 (a1646)) -> (c1_1 (a1646)) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1691)) -> (c2_1 (a1691)) -> (~(c1_1 (a1691))) -> (~(hskp5)) -> False). % 0.99/1.22 do 0 intro. intros zenon_H23f zenon_H2a9 zenon_H4f zenon_H5e zenon_H4e zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1ed zenon_Hc2 zenon_Hc1 zenon_Hc0 zenon_H3. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H20. zenon_intro zenon_H240. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H236. zenon_intro zenon_H241. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H237. zenon_intro zenon_H238. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H2a9); [ zenon_intro zenon_H275 | zenon_intro zenon_H2aa ]. % 0.99/1.22 apply (zenon_L501_); trivial. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H2aa); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H4 ]. % 0.99/1.22 apply (zenon_L49_); trivial. % 0.99/1.22 exact (zenon_H3 zenon_H4). % 0.99/1.22 (* end of lemma zenon_L502_ *) % 0.99/1.22 assert (zenon_L503_ : ((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp5))) -> (c3_1 (a1691)) -> (c2_1 (a1691)) -> (~(c1_1 (a1691))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> False). % 0.99/1.22 do 0 intro. intros zenon_H59 zenon_H242 zenon_H2a9 zenon_Hc2 zenon_Hc1 zenon_Hc0 zenon_H1ed zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H3 zenon_H294. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 0.99/1.22 apply (zenon_L497_); trivial. % 0.99/1.22 apply (zenon_L502_); trivial. % 0.99/1.22 (* end of lemma zenon_L503_ *) % 0.99/1.22 assert (zenon_L504_ : ((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp5))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> (~(hskp19)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> False). % 0.99/1.22 do 0 intro. intros zenon_Hc9 zenon_H61 zenon_H242 zenon_H2a9 zenon_H1ed zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H3 zenon_H294 zenon_H13 zenon_H170. % 0.99/1.22 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H20. zenon_intro zenon_Hcb. % 0.99/1.22 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc1. zenon_intro zenon_Hcc. % 0.99/1.22 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc2. zenon_intro zenon_Hc0. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 0.99/1.22 apply (zenon_L91_); trivial. % 0.99/1.22 apply (zenon_L503_); trivial. % 0.99/1.22 (* end of lemma zenon_L504_ *) % 0.99/1.22 assert (zenon_L505_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp5))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(hskp6)) -> ((hskp19)\/((hskp21)\/(hskp6))) -> False). % 0.99/1.22 do 0 intro. intros zenon_Hce zenon_H61 zenon_H242 zenon_H2a9 zenon_H1ed zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H3 zenon_H294 zenon_H170 zenon_H13 zenon_Hb zenon_H16e. % 0.99/1.22 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 0.99/1.22 apply (zenon_L85_); trivial. % 0.99/1.22 apply (zenon_L504_); trivial. % 0.99/1.22 (* end of lemma zenon_L505_ *) % 0.99/1.22 assert (zenon_L506_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (ndr1_0) -> (~(c3_1 (a1682))) -> (c1_1 (a1682)) -> (c2_1 (a1682)) -> (~(hskp22)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> False). % 0.99/1.22 do 0 intro. intros zenon_H65 zenon_H61 zenon_H5a zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1ed zenon_H1 zenon_H41 zenon_H232 zenon_H191 zenon_H192 zenon_H233 zenon_H229 zenon_H228 zenon_H227 zenon_H20 zenon_H44 zenon_H45 zenon_H46 zenon_H20f zenon_H211 zenon_H242. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 0.99/1.22 apply (zenon_L232_); trivial. % 0.99/1.22 apply (zenon_L164_); trivial. % 0.99/1.22 (* end of lemma zenon_L506_ *) % 0.99/1.22 assert (zenon_L507_ : (forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))) -> (ndr1_0) -> (c1_1 (a1647)) -> (forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75)))))) -> (c0_1 (a1647)) -> (c3_1 (a1647)) -> False). % 0.99/1.22 do 0 intro. intros zenon_H174 zenon_H20 zenon_H237 zenon_H81 zenon_H236 zenon_H238. % 0.99/1.22 generalize (zenon_H174 (a1647)). zenon_intro zenon_H2ab. % 0.99/1.22 apply (zenon_imply_s _ _ zenon_H2ab); [ zenon_intro zenon_H1f | zenon_intro zenon_H2ac ]. % 0.99/1.22 exact (zenon_H1f zenon_H20). % 0.99/1.22 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H23e | zenon_intro zenon_H24b ]. % 0.99/1.22 exact (zenon_H23e zenon_H237). % 0.99/1.22 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H24c | zenon_intro zenon_H23d ]. % 0.99/1.22 generalize (zenon_H81 (a1647)). zenon_intro zenon_H245. % 0.99/1.22 apply (zenon_imply_s _ _ zenon_H245); [ zenon_intro zenon_H1f | zenon_intro zenon_H246 ]. % 0.99/1.22 exact (zenon_H1f zenon_H20). % 0.99/1.22 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H248 | zenon_intro zenon_H247 ]. % 0.99/1.22 exact (zenon_H24c zenon_H248). % 0.99/1.22 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H23c | zenon_intro zenon_H23d ]. % 0.99/1.22 exact (zenon_H23c zenon_H236). % 0.99/1.22 exact (zenon_H23d zenon_H238). % 0.99/1.22 exact (zenon_H23d zenon_H238). % 0.99/1.22 (* end of lemma zenon_L507_ *) % 0.99/1.22 assert (zenon_L508_ : ((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (~(hskp2)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (~(hskp28)) -> (~(hskp25)) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> False). % 0.99/1.22 do 0 intro. intros zenon_H23f zenon_H1ed zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H19d zenon_H265 zenon_H3f zenon_H19 zenon_H191 zenon_H192 zenon_H19f. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H20. zenon_intro zenon_H240. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H236. zenon_intro zenon_H241. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H237. zenon_intro zenon_H238. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1ee ]. % 0.99/1.22 apply (zenon_L158_); trivial. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H56 | zenon_intro zenon_H1e9 ]. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H77 | zenon_intro zenon_H1a0 ]. % 0.99/1.22 apply (zenon_L111_); trivial. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H81 | zenon_intro zenon_H19e ]. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H174 | zenon_intro zenon_H266 ]. % 0.99/1.22 apply (zenon_L507_); trivial. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H40 | zenon_intro zenon_H1a ]. % 0.99/1.22 exact (zenon_H3f zenon_H40). % 0.99/1.22 exact (zenon_H19 zenon_H1a). % 0.99/1.22 exact (zenon_H19d zenon_H19e). % 0.99/1.22 apply (zenon_L230_); trivial. % 0.99/1.22 (* end of lemma zenon_L508_ *) % 0.99/1.22 assert (zenon_L509_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (~(hskp25)) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (ndr1_0) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> (~(hskp28)) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> False). % 0.99/1.22 do 0 intro. intros zenon_H242 zenon_H1ed zenon_H265 zenon_H19 zenon_H19d zenon_H19f zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H20 zenon_H227 zenon_H228 zenon_H229 zenon_H1ff zenon_H3f zenon_H192 zenon_H191 zenon_H12a zenon_H129 zenon_H128 zenon_H232. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 0.99/1.22 apply (zenon_L236_); trivial. % 0.99/1.22 apply (zenon_L508_); trivial. % 0.99/1.22 (* end of lemma zenon_L509_ *) % 0.99/1.22 assert (zenon_L510_ : ((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c3_1 (a1697))) -> (~(c2_1 (a1697))) -> (~(c0_1 (a1697))) -> (c1_1 (a1646)) -> (c2_1 (a1646)) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> False). % 0.99/1.22 do 0 intro. intros zenon_H23f zenon_H1c6 zenon_H218 zenon_H217 zenon_H216 zenon_H4e zenon_H4f zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1ed zenon_H1a4 zenon_H191 zenon_H192. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H20. zenon_intro zenon_H240. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H236. zenon_intro zenon_H241. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H237. zenon_intro zenon_H238. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1c7 ]. % 0.99/1.22 apply (zenon_L194_); trivial. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H21 | zenon_intro zenon_H1c3 ]. % 0.99/1.22 apply (zenon_L498_); trivial. % 0.99/1.22 apply (zenon_L191_); trivial. % 0.99/1.22 (* end of lemma zenon_L510_ *) % 0.99/1.22 assert (zenon_L511_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c3_1 (a1648))) -> (~(c3_1 (a1697))) -> (~(c2_1 (a1697))) -> (~(c0_1 (a1697))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (~(hskp24)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (ndr1_0) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp25)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> False). % 0.99/1.22 do 0 intro. intros zenon_H61 zenon_H1c6 zenon_H1a4 zenon_H218 zenon_H217 zenon_H216 zenon_H233 zenon_H1b zenon_H232 zenon_H128 zenon_H129 zenon_H12a zenon_H191 zenon_H192 zenon_H1ff zenon_H229 zenon_H228 zenon_H227 zenon_H20 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H19f zenon_H19d zenon_H19 zenon_H265 zenon_H1ed zenon_H242. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 0.99/1.22 apply (zenon_L509_); trivial. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 0.99/1.22 apply (zenon_L229_); trivial. % 0.99/1.22 apply (zenon_L510_); trivial. % 0.99/1.22 (* end of lemma zenon_L511_ *) % 0.99/1.22 assert (zenon_L512_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (ndr1_0) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (~(hskp24)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (~(c0_1 (a1697))) -> (~(c2_1 (a1697))) -> (~(c3_1 (a1697))) -> (~(c3_1 (a1648))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> False). % 0.99/1.22 do 0 intro. intros zenon_H34 zenon_H242 zenon_H1ed zenon_H265 zenon_H19d zenon_H19f zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H20 zenon_H227 zenon_H228 zenon_H229 zenon_H1ff zenon_H192 zenon_H191 zenon_H12a zenon_H129 zenon_H128 zenon_H232 zenon_H1b zenon_H233 zenon_H216 zenon_H217 zenon_H218 zenon_H1a4 zenon_H1c6 zenon_H61. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 0.99/1.22 apply (zenon_L511_); trivial. % 0.99/1.22 apply (zenon_L195_); trivial. % 0.99/1.22 (* end of lemma zenon_L512_ *) % 0.99/1.22 assert (zenon_L513_ : ((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c3_1 (a1648))) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> (~(hskp0)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> False). % 0.99/1.22 do 0 intro. intros zenon_H64 zenon_H222 zenon_H5b zenon_H1c6 zenon_H1a4 zenon_H128 zenon_H129 zenon_H12a zenon_H1ff zenon_H19f zenon_H19d zenon_H265 zenon_H34 zenon_H242 zenon_H211 zenon_H227 zenon_H228 zenon_H229 zenon_H233 zenon_H192 zenon_H191 zenon_H232 zenon_H41 zenon_H1 zenon_H1ed zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H5a zenon_H61 zenon_H65. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H20. zenon_intro zenon_H66. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H45. zenon_intro zenon_H67. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 0.99/1.22 apply (zenon_L506_); trivial. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H20. zenon_intro zenon_H220. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H216. zenon_intro zenon_H221. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H217. zenon_intro zenon_H218. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 0.99/1.22 apply (zenon_L512_); trivial. % 0.99/1.22 apply (zenon_L29_); trivial. % 0.99/1.22 (* end of lemma zenon_L513_ *) % 0.99/1.22 assert (zenon_L514_ : ((ndr1_0)/\((c0_1 (a1648))/\((c2_1 (a1648))/\(~(c3_1 (a1648)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((hskp19)\/((hskp21)\/(hskp6))) -> (~(hskp6)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((hskp12)\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> (~(hskp0)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> False). % 0.99/1.22 do 0 intro. intros zenon_H1a1 zenon_H15a zenon_H68 zenon_H222 zenon_H5b zenon_H1c6 zenon_H1ff zenon_H19f zenon_H19d zenon_H265 zenon_H34 zenon_H211 zenon_H227 zenon_H228 zenon_H229 zenon_H233 zenon_H232 zenon_H16e zenon_Hb zenon_H170 zenon_H294 zenon_H2a9 zenon_H242 zenon_Hce zenon_H2a0 zenon_H3 zenon_H41 zenon_H1 zenon_H1ed zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H5a zenon_H61 zenon_H65. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 0.99/1.22 apply (zenon_L495_); trivial. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 0.99/1.22 apply (zenon_L505_); trivial. % 0.99/1.22 apply (zenon_L513_); trivial. % 0.99/1.22 (* end of lemma zenon_L514_ *) % 0.99/1.22 assert (zenon_L515_ : ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7)))))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15)))))) -> (ndr1_0) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> False). % 0.99/1.22 do 0 intro. intros zenon_H1ab zenon_H17b zenon_H17a zenon_H179 zenon_H97 zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H35 zenon_H20 zenon_H128 zenon_H129 zenon_H12a. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H13b | zenon_intro zenon_H1ac ]. % 0.99/1.22 apply (zenon_L118_); trivial. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H69 | zenon_intro zenon_H127 ]. % 0.99/1.22 apply (zenon_L168_); trivial. % 0.99/1.22 apply (zenon_L69_); trivial. % 0.99/1.22 (* end of lemma zenon_L515_ *) % 0.99/1.22 assert (zenon_L516_ : ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c1_1 (a1646)) -> (c2_1 (a1646)) -> (c0_1 (a1647)) -> (c1_1 (a1647)) -> (c3_1 (a1647)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7)))))) -> (ndr1_0) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> False). % 0.99/1.22 do 0 intro. intros zenon_H5a zenon_H4e zenon_H4f zenon_H236 zenon_H237 zenon_H238 zenon_H1ed zenon_H97 zenon_H20 zenon_H179 zenon_H17a zenon_H17b zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H128 zenon_H129 zenon_H12a zenon_H1ab. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H21 ]. % 0.99/1.22 apply (zenon_L515_); trivial. % 0.99/1.22 apply (zenon_L498_); trivial. % 0.99/1.22 (* end of lemma zenon_L516_ *) % 0.99/1.22 assert (zenon_L517_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> (c3_1 (a1647)) -> (c1_1 (a1647)) -> (c0_1 (a1647)) -> (ndr1_0) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))) -> (~(hskp2)) -> (~(c0_1 (a1638))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp11)) -> False). % 0.99/1.22 do 0 intro. intros zenon_H259 zenon_H238 zenon_H237 zenon_H236 zenon_H20 zenon_H19f zenon_H192 zenon_H191 zenon_H244 zenon_H19d zenon_H227 zenon_H229 zenon_H228 zenon_H1ed zenon_H2d. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H109 | zenon_intro zenon_H25a ]. % 0.99/1.22 apply (zenon_L223_); trivial. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H251 | zenon_intro zenon_H2e ]. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1ee ]. % 0.99/1.22 apply (zenon_L249_); trivial. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H56 | zenon_intro zenon_H1e9 ]. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H77 | zenon_intro zenon_H1a0 ]. % 0.99/1.22 apply (zenon_L111_); trivial. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H81 | zenon_intro zenon_H19e ]. % 0.99/1.22 apply (zenon_L237_); trivial. % 0.99/1.22 exact (zenon_H19d zenon_H19e). % 0.99/1.22 apply (zenon_L230_); trivial. % 0.99/1.22 exact (zenon_H2d zenon_H2e). % 0.99/1.22 (* end of lemma zenon_L517_ *) % 0.99/1.22 assert (zenon_L518_ : ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c2_1 (a1709)) -> (c1_1 (a1709)) -> (~(c0_1 (a1709))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7)))))) -> (ndr1_0) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> False). % 0.99/1.22 do 0 intro. intros zenon_H5a zenon_H24 zenon_H23 zenon_H22 zenon_H97 zenon_H20 zenon_H179 zenon_H17a zenon_H17b zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H128 zenon_H129 zenon_H12a zenon_H1ab. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H21 ]. % 0.99/1.22 apply (zenon_L515_); trivial. % 0.99/1.22 apply (zenon_L17_); trivial. % 0.99/1.22 (* end of lemma zenon_L518_ *) % 0.99/1.22 assert (zenon_L519_ : ((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (~(c0_1 (a1709))) -> (c1_1 (a1709)) -> (c2_1 (a1709)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(hskp2)) -> (~(c0_1 (a1638))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp11)) -> False). % 0.99/1.22 do 0 intro. intros zenon_H23f zenon_H24f zenon_H1ab zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H17b zenon_H17a zenon_H179 zenon_H22 zenon_H23 zenon_H24 zenon_H5a zenon_H12a zenon_H129 zenon_H128 zenon_H259 zenon_H19f zenon_H192 zenon_H191 zenon_H19d zenon_H227 zenon_H229 zenon_H228 zenon_H1ed zenon_H2d. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H20. zenon_intro zenon_H240. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H236. zenon_intro zenon_H241. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H237. zenon_intro zenon_H238. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H97 | zenon_intro zenon_H250 ]. % 0.99/1.22 apply (zenon_L518_); trivial. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H127 | zenon_intro zenon_H244 ]. % 0.99/1.22 apply (zenon_L69_); trivial. % 0.99/1.22 apply (zenon_L517_); trivial. % 0.99/1.22 (* end of lemma zenon_L519_ *) % 0.99/1.22 assert (zenon_L520_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (~(c0_1 (a1709))) -> (c1_1 (a1709)) -> (c2_1 (a1709)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (ndr1_0) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> (~(hskp28)) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> False). % 0.99/1.22 do 0 intro. intros zenon_H242 zenon_H24f zenon_H1ed zenon_H19d zenon_H19f zenon_H2d zenon_H259 zenon_H1ab zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H17b zenon_H17a zenon_H179 zenon_H22 zenon_H23 zenon_H24 zenon_H5a zenon_H20 zenon_H227 zenon_H228 zenon_H229 zenon_H1ff zenon_H3f zenon_H192 zenon_H191 zenon_H12a zenon_H129 zenon_H128 zenon_H232. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 0.99/1.22 apply (zenon_L236_); trivial. % 0.99/1.22 apply (zenon_L519_); trivial. % 0.99/1.22 (* end of lemma zenon_L520_ *) % 0.99/1.22 assert (zenon_L521_ : ((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp22)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (c1_1 (a1646)) -> (c3_1 (a1646)) -> (c2_1 (a1646)) -> False). % 0.99/1.22 do 0 intro. intros zenon_H23f zenon_H2a7 zenon_H20f zenon_H13c zenon_H13d zenon_H13e zenon_H211 zenon_H229 zenon_H228 zenon_H227 zenon_H1ed zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H4e zenon_H5e zenon_H4f. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H20. zenon_intro zenon_H240. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H236. zenon_intro zenon_H241. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H237. zenon_intro zenon_H238. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H1ae | zenon_intro zenon_H2a8 ]. % 0.99/1.22 apply (zenon_L262_); trivial. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H109 | zenon_intro zenon_H275 ]. % 0.99/1.22 apply (zenon_L223_); trivial. % 0.99/1.22 apply (zenon_L501_); trivial. % 0.99/1.22 (* end of lemma zenon_L521_ *) % 0.99/1.22 assert (zenon_L522_ : ((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (~(hskp22)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (~(hskp24)) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> False). % 0.99/1.22 do 0 intro. intros zenon_H59 zenon_H242 zenon_H2a7 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1ed zenon_H13c zenon_H13d zenon_H13e zenon_H20f zenon_H211 zenon_H227 zenon_H228 zenon_H229 zenon_H233 zenon_H1b zenon_H192 zenon_H191 zenon_H232. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 0.99/1.22 apply (zenon_L229_); trivial. % 0.99/1.22 apply (zenon_L521_); trivial. % 0.99/1.22 (* end of lemma zenon_L522_ *) % 0.99/1.22 assert (zenon_L523_ : ((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> False). % 0.99/1.22 do 0 intro. intros zenon_H2f zenon_H5a zenon_H13c zenon_H13d zenon_H13e zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H128 zenon_H129 zenon_H12a zenon_H1ab. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H20. zenon_intro zenon_H31. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H23. zenon_intro zenon_H32. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H24. zenon_intro zenon_H22. % 0.99/1.22 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H21 ]. % 0.99/1.22 apply (zenon_L200_); trivial. % 0.99/1.22 apply (zenon_L17_); trivial. % 0.99/1.22 (* end of lemma zenon_L523_ *) % 0.99/1.22 assert (zenon_L524_ : ((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c3_1 (a1648))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> False). % 0.99/1.22 do 0 intro. intros zenon_H21f zenon_H65 zenon_H1 zenon_H41 zenon_H61 zenon_H1c6 zenon_H1a4 zenon_H233 zenon_H232 zenon_H128 zenon_H129 zenon_H12a zenon_H191 zenon_H192 zenon_H1ff zenon_H229 zenon_H228 zenon_H227 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H19f zenon_H19d zenon_H265 zenon_H1ed zenon_H242 zenon_H1ab zenon_H13e zenon_H13d zenon_H13c zenon_H5a zenon_H34. % 0.99/1.22 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H20. zenon_intro zenon_H220. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H216. zenon_intro zenon_H221. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H217. zenon_intro zenon_H218. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 0.99/1.23 apply (zenon_L511_); trivial. % 0.99/1.23 apply (zenon_L523_); trivial. % 0.99/1.23 apply (zenon_L164_); trivial. % 0.99/1.23 (* end of lemma zenon_L524_ *) % 0.99/1.23 assert (zenon_L525_ : ((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c3_1 (a1648))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((hskp12)\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> (~(hskp0)) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> False). % 0.99/1.23 do 0 intro. intros zenon_H155 zenon_H15a zenon_H222 zenon_H1ab zenon_H34 zenon_H1c6 zenon_H1a4 zenon_H242 zenon_H1ed zenon_H265 zenon_H19d zenon_H19f zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H227 zenon_H228 zenon_H229 zenon_H1ff zenon_H192 zenon_H191 zenon_H232 zenon_H233 zenon_H211 zenon_H2a7 zenon_H2a0 zenon_H3 zenon_H41 zenon_H1 zenon_H289 zenon_H28a zenon_H28b zenon_H5a zenon_H5b zenon_H299 zenon_H61 zenon_H65. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 0.99/1.23 apply (zenon_L496_); trivial. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 0.99/1.23 apply (zenon_L509_); trivial. % 0.99/1.23 apply (zenon_L522_); trivial. % 0.99/1.23 apply (zenon_L305_); trivial. % 0.99/1.23 apply (zenon_L164_); trivial. % 0.99/1.23 apply (zenon_L524_); trivial. % 0.99/1.23 (* end of lemma zenon_L525_ *) % 0.99/1.23 assert (zenon_L526_ : ((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (~(hskp2)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> False). % 0.99/1.23 do 0 intro. intros zenon_H23f zenon_H1ed zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H19d zenon_H82 zenon_H83 zenon_H84 zenon_H191 zenon_H192 zenon_H19f. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H20. zenon_intro zenon_H240. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H236. zenon_intro zenon_H241. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H237. zenon_intro zenon_H238. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1ee ]. % 0.99/1.23 apply (zenon_L158_); trivial. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H56 | zenon_intro zenon_H1e9 ]. % 0.99/1.23 apply (zenon_L267_); trivial. % 0.99/1.23 apply (zenon_L230_); trivial. % 0.99/1.23 (* end of lemma zenon_L526_ *) % 0.99/1.23 assert (zenon_L527_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (ndr1_0) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (~(hskp24)) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> False). % 0.99/1.23 do 0 intro. intros zenon_H242 zenon_H1ed zenon_H82 zenon_H83 zenon_H84 zenon_H19d zenon_H19f zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H20 zenon_H227 zenon_H228 zenon_H229 zenon_H233 zenon_H1b zenon_H192 zenon_H191 zenon_H232. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 0.99/1.23 apply (zenon_L229_); trivial. % 0.99/1.23 apply (zenon_L526_); trivial. % 0.99/1.23 (* end of lemma zenon_L527_ *) % 0.99/1.23 assert (zenon_L528_ : ((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (~(hskp22)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> (~(hskp15)) -> False). % 0.99/1.23 do 0 intro. intros zenon_H23f zenon_H299 zenon_H28b zenon_H28a zenon_H289 zenon_H20f zenon_H13c zenon_H13d zenon_H13e zenon_H211 zenon_H27b zenon_H276 zenon_H26e zenon_H26c zenon_H12a zenon_H129 zenon_H128 zenon_H11. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H20. zenon_intro zenon_H240. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H236. zenon_intro zenon_H241. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H237. zenon_intro zenon_H238. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 0.99/1.23 apply (zenon_L355_); trivial. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 0.99/1.23 apply (zenon_L262_); trivial. % 0.99/1.23 apply (zenon_L312_); trivial. % 0.99/1.23 (* end of lemma zenon_L528_ *) % 0.99/1.23 assert (zenon_L529_ : ((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (~(hskp22)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (~(hskp15)) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> False). % 0.99/1.23 do 0 intro. intros zenon_H59 zenon_H242 zenon_H289 zenon_H28a zenon_H28b zenon_H294 zenon_H3 zenon_H13c zenon_H13d zenon_H13e zenon_H20f zenon_H211 zenon_H27b zenon_H11 zenon_H12a zenon_H129 zenon_H128 zenon_H276 zenon_H26e zenon_H26c zenon_H299. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 0.99/1.23 apply (zenon_L355_); trivial. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 0.99/1.23 apply (zenon_L360_); trivial. % 0.99/1.23 apply (zenon_L312_); trivial. % 0.99/1.23 apply (zenon_L528_); trivial. % 0.99/1.23 (* end of lemma zenon_L529_ *) % 0.99/1.23 assert (zenon_L530_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (~(hskp22)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (~(hskp15)) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> (~(c0_1 (a1637))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (~(hskp25)) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (ndr1_0) -> (~(hskp21)) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> False). % 0.99/1.23 do 0 intro. intros zenon_H61 zenon_H242 zenon_H289 zenon_H28a zenon_H28b zenon_H294 zenon_H3 zenon_H13c zenon_H13d zenon_H13e zenon_H20f zenon_H211 zenon_H27b zenon_H11 zenon_H12a zenon_H129 zenon_H128 zenon_H26c zenon_H299 zenon_H265 zenon_H19 zenon_H276 zenon_H26e zenon_H20 zenon_Hb0 zenon_H105 zenon_H107. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 0.99/1.23 apply (zenon_L321_); trivial. % 0.99/1.23 apply (zenon_L529_); trivial. % 0.99/1.23 (* end of lemma zenon_L530_ *) % 0.99/1.23 assert (zenon_L531_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> (c2_1 (a1709)) -> (c1_1 (a1709)) -> (~(c0_1 (a1709))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp5)) -> False). % 0.99/1.23 do 0 intro. intros zenon_H294 zenon_H24 zenon_H23 zenon_H22 zenon_H20 zenon_H230 zenon_H3. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H21 | zenon_intro zenon_H295 ]. % 0.99/1.23 apply (zenon_L17_); trivial. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H231 | zenon_intro zenon_H4 ]. % 0.99/1.23 exact (zenon_H230 zenon_H231). % 0.99/1.23 exact (zenon_H3 zenon_H4). % 0.99/1.23 (* end of lemma zenon_L531_ *) % 0.99/1.23 assert (zenon_L532_ : ((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> (~(hskp15)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (~(hskp22)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> False). % 0.99/1.23 do 0 intro. intros zenon_H2f zenon_H242 zenon_H299 zenon_H26c zenon_H26e zenon_H276 zenon_H128 zenon_H129 zenon_H12a zenon_H11 zenon_H27b zenon_H13c zenon_H13d zenon_H13e zenon_H20f zenon_H211 zenon_H28b zenon_H28a zenon_H289 zenon_H3 zenon_H294. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H20. zenon_intro zenon_H31. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H23. zenon_intro zenon_H32. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H24. zenon_intro zenon_H22. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 0.99/1.23 apply (zenon_L531_); trivial. % 0.99/1.23 apply (zenon_L528_); trivial. % 0.99/1.23 (* end of lemma zenon_L532_ *) % 0.99/1.23 assert (zenon_L533_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> (~(hskp3)) -> (~(hskp21)) -> (ndr1_0) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c0_1 (a1637))) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> (~(hskp15)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(hskp22)) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> False). % 0.99/1.23 do 0 intro. intros zenon_H34 zenon_H107 zenon_H105 zenon_Hb0 zenon_H20 zenon_H26e zenon_H276 zenon_H265 zenon_H299 zenon_H26c zenon_H128 zenon_H129 zenon_H12a zenon_H11 zenon_H27b zenon_H211 zenon_H20f zenon_H13e zenon_H13d zenon_H13c zenon_H3 zenon_H294 zenon_H28b zenon_H28a zenon_H289 zenon_H242 zenon_H61. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 0.99/1.23 apply (zenon_L530_); trivial. % 0.99/1.23 apply (zenon_L532_); trivial. % 0.99/1.23 (* end of lemma zenon_L533_ *) % 0.99/1.23 assert (zenon_L534_ : ((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> (~(hskp15)) -> False). % 0.99/1.23 do 0 intro. intros zenon_H21f zenon_H299 zenon_H28b zenon_H28a zenon_H289 zenon_H27b zenon_H276 zenon_H26e zenon_H26c zenon_H12a zenon_H129 zenon_H128 zenon_H11. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H20. zenon_intro zenon_H220. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H216. zenon_intro zenon_H221. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H217. zenon_intro zenon_H218. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 0.99/1.23 apply (zenon_L355_); trivial. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 0.99/1.23 apply (zenon_L194_); trivial. % 0.99/1.23 apply (zenon_L312_); trivial. % 0.99/1.23 (* end of lemma zenon_L534_ *) % 0.99/1.23 assert (zenon_L535_ : ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (~(hskp15)) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> (~(c0_1 (a1637))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (ndr1_0) -> (~(hskp21)) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> False). % 0.99/1.23 do 0 intro. intros zenon_H222 zenon_H61 zenon_H242 zenon_H289 zenon_H28a zenon_H28b zenon_H294 zenon_H3 zenon_H13c zenon_H13d zenon_H13e zenon_H211 zenon_H27b zenon_H11 zenon_H12a zenon_H129 zenon_H128 zenon_H26c zenon_H299 zenon_H265 zenon_H276 zenon_H26e zenon_H20 zenon_Hb0 zenon_H105 zenon_H107 zenon_H34. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 0.99/1.23 apply (zenon_L533_); trivial. % 0.99/1.23 apply (zenon_L534_); trivial. % 0.99/1.23 (* end of lemma zenon_L535_ *) % 0.99/1.23 assert (zenon_L536_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (~(hskp22)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (~(hskp15)) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (ndr1_0) -> (~(c1_1 (a1691))) -> (c2_1 (a1691)) -> (c3_1 (a1691)) -> (~(hskp19)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> False). % 0.99/1.23 do 0 intro. intros zenon_H61 zenon_H242 zenon_H289 zenon_H28a zenon_H28b zenon_H294 zenon_H3 zenon_H13c zenon_H13d zenon_H13e zenon_H20f zenon_H211 zenon_H27b zenon_H11 zenon_H12a zenon_H129 zenon_H128 zenon_H276 zenon_H26e zenon_H26c zenon_H299 zenon_H20 zenon_Hc0 zenon_Hc1 zenon_Hc2 zenon_H13 zenon_H170. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 0.99/1.23 apply (zenon_L91_); trivial. % 0.99/1.23 apply (zenon_L529_); trivial. % 0.99/1.23 (* end of lemma zenon_L536_ *) % 0.99/1.23 assert (zenon_L537_ : ((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> (~(hskp18)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> (~(hskp15)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> False). % 0.99/1.23 do 0 intro. intros zenon_Hc9 zenon_H222 zenon_H119 zenon_H11b zenon_H170 zenon_H13 zenon_H299 zenon_H26c zenon_H26e zenon_H276 zenon_H128 zenon_H129 zenon_H12a zenon_H11 zenon_H27b zenon_H211 zenon_H13e zenon_H13d zenon_H13c zenon_H3 zenon_H294 zenon_H28b zenon_H28a zenon_H289 zenon_H242 zenon_H61. % 0.99/1.23 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H20. zenon_intro zenon_Hcb. % 0.99/1.23 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc1. zenon_intro zenon_Hcc. % 0.99/1.23 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc2. zenon_intro zenon_Hc0. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 0.99/1.23 apply (zenon_L536_); trivial. % 0.99/1.23 apply (zenon_L367_); trivial. % 0.99/1.23 (* end of lemma zenon_L537_ *) % 0.99/1.23 assert (zenon_L538_ : ((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> (c1_1 (a1680)) -> (~(c2_1 (a1680))) -> (~(c0_1 (a1680))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> (~(hskp15)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> False). % 0.99/1.23 do 0 intro. intros zenon_Hc9 zenon_H222 zenon_H120 zenon_H11f zenon_H11e zenon_H170 zenon_H13 zenon_H299 zenon_H26c zenon_H26e zenon_H276 zenon_H128 zenon_H129 zenon_H12a zenon_H11 zenon_H27b zenon_H211 zenon_H13e zenon_H13d zenon_H13c zenon_H3 zenon_H294 zenon_H28b zenon_H28a zenon_H289 zenon_H242 zenon_H61. % 0.99/1.23 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H20. zenon_intro zenon_Hcb. % 0.99/1.23 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc1. zenon_intro zenon_Hcc. % 0.99/1.23 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc2. zenon_intro zenon_Hc0. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 0.99/1.23 apply (zenon_L536_); trivial. % 0.99/1.23 apply (zenon_L375_); trivial. % 0.99/1.23 (* end of lemma zenon_L538_ *) % 0.99/1.23 assert (zenon_L539_ : ((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a1699)))/\((~(c2_1 (a1699)))/\(~(c3_1 (a1699))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp3))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((hskp4)\/(hskp23))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (~(hskp15)) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> (~(c0_1 (a1637))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> False). % 0.99/1.23 do 0 intro. intros zenon_H131 zenon_H68 zenon_H154 zenon_H150 zenon_He8 zenon_H139 zenon_H222 zenon_H61 zenon_H242 zenon_H289 zenon_H28a zenon_H28b zenon_H294 zenon_H3 zenon_H13c zenon_H13d zenon_H13e zenon_H211 zenon_H27b zenon_H11 zenon_H12a zenon_H129 zenon_H128 zenon_H26c zenon_H299 zenon_H265 zenon_H276 zenon_H26e zenon_H105 zenon_H107 zenon_H34 zenon_H170 zenon_Hce. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H20. zenon_intro zenon_H133. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H120. zenon_intro zenon_H134. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 0.99/1.23 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 0.99/1.23 apply (zenon_L535_); trivial. % 0.99/1.23 apply (zenon_L538_); trivial. % 0.99/1.23 apply (zenon_L77_); trivial. % 0.99/1.23 (* end of lemma zenon_L539_ *) % 0.99/1.23 assert (zenon_L540_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> (~(hskp3)) -> (ndr1_0) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c0_1 (a1637))) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> (~(hskp15)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((hskp4)\/(hskp23))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a1699)))/\((~(c2_1 (a1699)))/\(~(c3_1 (a1699))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> False). % 0.99/1.23 do 0 intro. intros zenon_H136 zenon_Hce zenon_H11b zenon_H170 zenon_H34 zenon_H107 zenon_H105 zenon_H20 zenon_H26e zenon_H276 zenon_H265 zenon_H299 zenon_H26c zenon_H128 zenon_H129 zenon_H12a zenon_H11 zenon_H27b zenon_H211 zenon_H13e zenon_H13d zenon_H13c zenon_H3 zenon_H294 zenon_H28b zenon_H28a zenon_H289 zenon_H242 zenon_H61 zenon_H222 zenon_H139 zenon_He8 zenon_H150 zenon_H154 zenon_H68. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H119 | zenon_intro zenon_H131 ]. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 0.99/1.23 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 0.99/1.23 apply (zenon_L535_); trivial. % 0.99/1.23 apply (zenon_L537_); trivial. % 0.99/1.23 apply (zenon_L77_); trivial. % 0.99/1.23 apply (zenon_L539_); trivial. % 0.99/1.23 (* end of lemma zenon_L540_ *) % 0.99/1.23 assert (zenon_L541_ : ((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a1699)))/\((~(c2_1 (a1699)))/\(~(c3_1 (a1699))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp3))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((hskp4)\/(hskp23))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (~(c0_1 (a1637))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((hskp12)\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> (~(hskp0)) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> False). % 0.99/1.23 do 0 intro. intros zenon_H155 zenon_H15a zenon_H118 zenon_H1ab zenon_H68 zenon_H154 zenon_H150 zenon_He8 zenon_H139 zenon_H222 zenon_H242 zenon_H294 zenon_H211 zenon_H27b zenon_H26c zenon_H265 zenon_H276 zenon_H26e zenon_H105 zenon_H107 zenon_H34 zenon_H170 zenon_H11b zenon_Hce zenon_H136 zenon_H2a0 zenon_H3 zenon_H41 zenon_H1 zenon_H289 zenon_H28a zenon_H28b zenon_H5a zenon_H5b zenon_H299 zenon_H61 zenon_H65. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 0.99/1.23 apply (zenon_L496_); trivial. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 0.99/1.23 apply (zenon_L540_); trivial. % 0.99/1.23 apply (zenon_L136_); trivial. % 0.99/1.23 (* end of lemma zenon_L541_ *) % 0.99/1.23 assert (zenon_L542_ : ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp5))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))) -> (~(c0_1 (a1637))) -> (c3_1 (a1691)) -> (c2_1 (a1691)) -> (~(c1_1 (a1691))) -> (ndr1_0) -> (~(hskp5)) -> False). % 0.99/1.23 do 0 intro. intros zenon_H2a9 zenon_H276 zenon_H26e zenon_H11d zenon_H26c zenon_Hc2 zenon_Hc1 zenon_Hc0 zenon_H20 zenon_H3. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H2a9); [ zenon_intro zenon_H275 | zenon_intro zenon_H2aa ]. % 0.99/1.23 apply (zenon_L311_); trivial. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H2aa); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H4 ]. % 0.99/1.23 apply (zenon_L49_); trivial. % 0.99/1.23 exact (zenon_H3 zenon_H4). % 0.99/1.23 (* end of lemma zenon_L542_ *) % 0.99/1.23 assert (zenon_L543_ : ((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> (~(hskp5)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp5))) -> (~(c3_1 (a1642))) -> (c0_1 (a1642)) -> (~(c2_1 (a1642))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> (~(hskp11)) -> False). % 0.99/1.23 do 0 intro. intros zenon_Hc9 zenon_H132 zenon_H3 zenon_H2a9 zenon_H162 zenon_H163 zenon_H161 zenon_H26c zenon_H26e zenon_H276 zenon_H280 zenon_H2d. % 0.99/1.23 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H20. zenon_intro zenon_Hcb. % 0.99/1.23 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc1. zenon_intro zenon_Hcc. % 0.99/1.23 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc2. zenon_intro zenon_Hc0. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H11d | zenon_intro zenon_H135 ]. % 0.99/1.23 apply (zenon_L542_); trivial. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H127 | zenon_intro zenon_H2e ]. % 0.99/1.23 apply (zenon_L326_); trivial. % 0.99/1.23 exact (zenon_H2d zenon_H2e). % 0.99/1.23 (* end of lemma zenon_L543_ *) % 0.99/1.23 assert (zenon_L544_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> (~(hskp18)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> (~(hskp13)) -> (~(hskp12)) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((hskp19)\/((hskp21)\/(hskp6))) -> (~(hskp6)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> (~(hskp11)) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> False). % 0.99/1.23 do 0 intro. intros zenon_H68 zenon_H11b zenon_H119 zenon_H34 zenon_H30 zenon_H2b zenon_H17 zenon_H1d zenon_H61 zenon_H5a zenon_H5b zenon_H265 zenon_H105 zenon_H107 zenon_H65 zenon_H16e zenon_Hb zenon_H2a9 zenon_H3 zenon_H276 zenon_H26e zenon_H26c zenon_H280 zenon_H2d zenon_H161 zenon_H163 zenon_H162 zenon_H132 zenon_Hce. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 0.99/1.23 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 0.99/1.23 apply (zenon_L85_); trivial. % 0.99/1.23 apply (zenon_L543_); trivial. % 0.99/1.23 apply (zenon_L325_); trivial. % 0.99/1.23 (* end of lemma zenon_L544_ *) % 0.99/1.23 assert (zenon_L545_ : ((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> (~(c3_1 (a1642))) -> (c0_1 (a1642)) -> (~(c2_1 (a1642))) -> (~(hskp11)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> (~(hskp5)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp5))) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> False). % 0.99/1.23 do 0 intro. intros zenon_H114 zenon_Hce zenon_H132 zenon_H162 zenon_H163 zenon_H161 zenon_H2d zenon_H280 zenon_H26c zenon_H26e zenon_H276 zenon_H3 zenon_H2a9 zenon_H105 zenon_H107. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H20. zenon_intro zenon_H115. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_Hfd. zenon_intro zenon_H116. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hfe. zenon_intro zenon_Hfc. % 0.99/1.23 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 0.99/1.23 apply (zenon_L59_); trivial. % 0.99/1.23 apply (zenon_L543_); trivial. % 0.99/1.23 (* end of lemma zenon_L545_ *) % 0.99/1.23 assert (zenon_L546_ : ((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> (~(c3_1 (a1642))) -> (c0_1 (a1642)) -> (~(c2_1 (a1642))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a1699)))/\((~(c2_1 (a1699)))/\(~(c3_1 (a1699))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp3))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((hskp4)\/(hskp23))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (~(c0_1 (a1637))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((hskp12)\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> (~(hskp0)) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> False). % 0.99/1.23 do 0 intro. intros zenon_H155 zenon_H15a zenon_H118 zenon_H162 zenon_H163 zenon_H161 zenon_H1ab zenon_H68 zenon_H154 zenon_H150 zenon_He8 zenon_H139 zenon_H222 zenon_H242 zenon_H294 zenon_H211 zenon_H27b zenon_H26c zenon_H265 zenon_H276 zenon_H26e zenon_H105 zenon_H107 zenon_H34 zenon_H170 zenon_H11b zenon_Hce zenon_H136 zenon_H2a0 zenon_H3 zenon_H41 zenon_H1 zenon_H289 zenon_H28a zenon_H28b zenon_H5a zenon_H5b zenon_H299 zenon_H61 zenon_H65. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 0.99/1.23 apply (zenon_L496_); trivial. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 0.99/1.23 apply (zenon_L540_); trivial. % 0.99/1.23 apply (zenon_L156_); trivial. % 0.99/1.23 (* end of lemma zenon_L546_ *) % 0.99/1.23 assert (zenon_L547_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((hskp7)\/(hskp8))) -> (~(hskp8)) -> (~(hskp7)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (ndr1_0) -> (~(c0_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c3_1 (a1644))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> False). % 0.99/1.23 do 0 intro. intros zenon_Hf0 zenon_Hf1 zenon_H18f zenon_H18d zenon_H9 zenon_H8d zenon_H20 zenon_Hd5 zenon_Hd6 zenon_Hd7 zenon_H1d1 zenon_H189 zenon_H84 zenon_H83 zenon_H82 zenon_He8 zenon_Heb. % 0.99/1.23 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 0.99/1.23 apply (zenon_L221_); trivial. % 0.99/1.23 apply (zenon_L108_); trivial. % 0.99/1.23 (* end of lemma zenon_L547_ *) % 0.99/1.23 assert (zenon_L548_ : ((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((hskp7)\/(hskp8))) -> (~(hskp8)) -> (~(hskp7)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> (~(hskp17)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> (~(hskp11)) -> (~(hskp13)) -> (~(hskp12)) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> False). % 0.99/1.23 do 0 intro. intros zenon_H64 zenon_Hce zenon_H18f zenon_H18d zenon_H9 zenon_H82 zenon_H83 zenon_H84 zenon_H8b zenon_H8d zenon_H34 zenon_H30 zenon_H2d zenon_H2b zenon_H17 zenon_H1d zenon_H61 zenon_H5a zenon_H5b zenon_H265 zenon_H276 zenon_H26e zenon_H105 zenon_H107 zenon_H65. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H20. zenon_intro zenon_H66. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H45. zenon_intro zenon_H67. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.99/1.23 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 0.99/1.23 apply (zenon_L324_); trivial. % 0.99/1.23 apply (zenon_L459_); trivial. % 0.99/1.23 (* end of lemma zenon_L548_ *) % 0.99/1.23 assert (zenon_L549_ : ((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> (~(hskp3)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (~(hskp7)) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((hskp7)\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> False). % 0.99/1.23 do 0 intro. intros zenon_H114 zenon_Hf1 zenon_H107 zenon_H105 zenon_H8d zenon_H84 zenon_H83 zenon_H82 zenon_H9 zenon_H18d zenon_H18f zenon_Hce. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H20. zenon_intro zenon_H115. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_Hfd. zenon_intro zenon_H116. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hfe. zenon_intro zenon_Hfc. % 0.99/1.23 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 0.99/1.23 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 0.99/1.23 apply (zenon_L59_); trivial. % 0.99/1.23 apply (zenon_L459_); trivial. % 0.99/1.23 apply (zenon_L107_); trivial. % 0.99/1.23 (* end of lemma zenon_L549_ *) % 0.99/1.23 assert (zenon_L550_ : ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((hskp4)\/(hskp23))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))) -> (~(hskp4)) -> (~(hskp23)) -> False). % 0.99/1.23 do 0 intro. intros zenon_H139 zenon_H13e zenon_H13d zenon_H13c zenon_H20 zenon_H11d zenon_He8 zenon_H137. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H43 | zenon_intro zenon_H13a ]. % 0.99/1.23 apply (zenon_L361_); trivial. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_He9 | zenon_intro zenon_H138 ]. % 0.99/1.23 exact (zenon_He8 zenon_He9). % 0.99/1.23 exact (zenon_H137 zenon_H138). % 0.99/1.23 (* end of lemma zenon_L550_ *) % 0.99/1.23 assert (zenon_L551_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (~(c3_1 (a1697))) -> (~(c2_1 (a1697))) -> (~(c0_1 (a1697))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((hskp4)\/(hskp23))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (ndr1_0) -> (~(hskp4)) -> (~(hskp23)) -> False). % 0.99/1.23 do 0 intro. intros zenon_H299 zenon_H28b zenon_H28a zenon_H289 zenon_H218 zenon_H217 zenon_H216 zenon_H139 zenon_H13e zenon_H13d zenon_H13c zenon_H20 zenon_He8 zenon_H137. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 0.99/1.23 apply (zenon_L355_); trivial. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 0.99/1.23 apply (zenon_L194_); trivial. % 0.99/1.23 apply (zenon_L550_); trivial. % 0.99/1.23 (* end of lemma zenon_L551_ *) % 0.99/1.23 assert (zenon_L552_ : ((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a1699)))/\((~(c2_1 (a1699)))/\(~(c3_1 (a1699))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp3))) -> (~(hskp3)) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((hskp4)\/(hskp23))) -> (~(hskp4)) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> False). % 0.99/1.23 do 0 intro. intros zenon_H21f zenon_H154 zenon_H150 zenon_H105 zenon_H289 zenon_H28a zenon_H28b zenon_H139 zenon_He8 zenon_H13e zenon_H13d zenon_H13c zenon_H299. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H20. zenon_intro zenon_H220. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H216. zenon_intro zenon_H221. % 0.99/1.23 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H217. zenon_intro zenon_H218. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H137 | zenon_intro zenon_H14f ]. % 0.99/1.23 apply (zenon_L551_); trivial. % 0.99/1.23 apply (zenon_L76_); trivial. % 0.99/1.23 (* end of lemma zenon_L552_ *) % 0.99/1.23 assert (zenon_L553_ : ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a1699)))/\((~(c2_1 (a1699)))/\(~(c3_1 (a1699))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp3))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((hskp4)\/(hskp23))) -> (~(hskp4)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c3_1 (a1640)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(hskp16)) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> (~(hskp12)) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> False). % 0.99/1.23 do 0 intro. intros zenon_H222 zenon_H154 zenon_H150 zenon_H105 zenon_H139 zenon_He8 zenon_H34 zenon_H1c6 zenon_H192 zenon_H191 zenon_H1a4 zenon_H211 zenon_H84 zenon_H82 zenon_H83 zenon_H13e zenon_H13d zenon_H13c zenon_H73 zenon_H1 zenon_H75 zenon_H17 zenon_H1d zenon_H41 zenon_H289 zenon_H28a zenon_H28b zenon_H5a zenon_H5b zenon_H299 zenon_H61 zenon_H65. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 0.99/1.23 apply (zenon_L193_); trivial. % 0.99/1.23 apply (zenon_L415_); trivial. % 0.99/1.23 apply (zenon_L552_); trivial. % 0.99/1.23 (* end of lemma zenon_L553_ *) % 0.99/1.23 assert (zenon_L554_ : ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> (ndr1_0) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> (~(hskp0)) -> (~(hskp16)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (c3_1 (a1640)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (~(hskp15)) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> False). % 0.99/1.23 do 0 intro. intros zenon_H222 zenon_H20 zenon_H289 zenon_H28a zenon_H28b zenon_H75 zenon_H1 zenon_H73 zenon_H13c zenon_H13d zenon_H13e zenon_H83 zenon_H82 zenon_H84 zenon_H211 zenon_H27b zenon_H11 zenon_H12a zenon_H129 zenon_H128 zenon_H276 zenon_H26e zenon_H26c zenon_H299. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 0.99/1.23 apply (zenon_L355_); trivial. % 0.99/1.23 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 0.99/1.23 apply (zenon_L190_); trivial. % 0.99/1.23 apply (zenon_L312_); trivial. % 0.99/1.23 apply (zenon_L534_); trivial. % 0.99/1.23 (* end of lemma zenon_L554_ *) % 0.99/1.23 assert (zenon_L555_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(hskp20)) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(hskp21)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (c3_1 (a1640)) -> (~(hskp22)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c2_1 (a1675)) -> (~(c1_1 (a1675))) -> (~(c0_1 (a1675))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (~(hskp15)) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> False). % 1.07/1.23 do 0 intro. intros zenon_Hd0 zenon_H95 zenon_H91 zenon_H289 zenon_H28a zenon_H28b zenon_Hca zenon_Hb0 zenon_Hb2 zenon_H13c zenon_H13d zenon_H13e zenon_H83 zenon_H82 zenon_H84 zenon_H20f zenon_H211 zenon_H9a zenon_H99 zenon_H98 zenon_H27b zenon_H11 zenon_H12a zenon_H129 zenon_H128 zenon_H276 zenon_H26e zenon_H26c zenon_H299 zenon_Hcf. % 1.07/1.23 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H8f | zenon_intro zenon_Hbd ]. % 1.07/1.23 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H93 | zenon_intro zenon_Hd1 ]. % 1.07/1.23 apply (zenon_L42_); trivial. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H20. zenon_intro zenon_Hd2. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Ha1. zenon_intro zenon_Hd3. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_Ha3. zenon_intro zenon_Ha4. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 1.07/1.23 apply (zenon_L355_); trivial. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 1.07/1.23 apply (zenon_L434_); trivial. % 1.07/1.23 apply (zenon_L312_); trivial. % 1.07/1.23 apply (zenon_L48_); trivial. % 1.07/1.23 (* end of lemma zenon_L555_ *) % 1.07/1.23 assert (zenon_L556_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (c3_1 (a1691)) -> (c2_1 (a1691)) -> (~(c1_1 (a1691))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (c3_1 (a1640)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (~(hskp22)) -> (~(c0_1 (a1675))) -> (~(c1_1 (a1675))) -> (c2_1 (a1675)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> (ndr1_0) -> (~(hskp15)) -> False). % 1.07/1.23 do 0 intro. intros zenon_H299 zenon_H28b zenon_H28a zenon_H289 zenon_Hc2 zenon_Hc1 zenon_Hc0 zenon_H211 zenon_H13e zenon_H13d zenon_H13c zenon_H84 zenon_H82 zenon_H83 zenon_H20f zenon_H98 zenon_H99 zenon_H9a zenon_Hca zenon_H27b zenon_H276 zenon_H26e zenon_H26c zenon_H12a zenon_H129 zenon_H128 zenon_H20 zenon_H11. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 1.07/1.23 apply (zenon_L355_); trivial. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 1.07/1.23 apply (zenon_L429_); trivial. % 1.07/1.23 apply (zenon_L312_); trivial. % 1.07/1.23 (* end of lemma zenon_L556_ *) % 1.07/1.23 assert (zenon_L557_ : ((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (c3_1 (a1640)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c2_1 (a1675)) -> (~(c1_1 (a1675))) -> (~(c0_1 (a1675))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (~(hskp15)) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> False). % 1.07/1.23 do 0 intro. intros zenon_Hc9 zenon_H222 zenon_H289 zenon_H28a zenon_H28b zenon_Hca zenon_H13c zenon_H13d zenon_H13e zenon_H83 zenon_H82 zenon_H84 zenon_H211 zenon_H9a zenon_H99 zenon_H98 zenon_H27b zenon_H11 zenon_H12a zenon_H129 zenon_H128 zenon_H276 zenon_H26e zenon_H26c zenon_H299. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H20. zenon_intro zenon_Hcb. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc1. zenon_intro zenon_Hcc. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc2. zenon_intro zenon_Hc0. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.07/1.23 apply (zenon_L556_); trivial. % 1.07/1.23 apply (zenon_L534_); trivial. % 1.07/1.23 (* end of lemma zenon_L557_ *) % 1.07/1.23 assert (zenon_L558_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(hskp20)) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (c3_1 (a1640)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c2_1 (a1675)) -> (~(c1_1 (a1675))) -> (~(c0_1 (a1675))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (~(hskp15)) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> False). % 1.07/1.23 do 0 intro. intros zenon_Hce zenon_Hd0 zenon_H95 zenon_H91 zenon_H289 zenon_H28a zenon_H28b zenon_Hca zenon_Hb2 zenon_H13c zenon_H13d zenon_H13e zenon_H83 zenon_H82 zenon_H84 zenon_H211 zenon_H9a zenon_H99 zenon_H98 zenon_H27b zenon_H11 zenon_H12a zenon_H129 zenon_H128 zenon_H276 zenon_H26e zenon_H26c zenon_H299 zenon_Hcf zenon_H222. % 1.07/1.23 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.07/1.23 apply (zenon_L555_); trivial. % 1.07/1.23 apply (zenon_L534_); trivial. % 1.07/1.23 apply (zenon_L557_); trivial. % 1.07/1.23 (* end of lemma zenon_L558_ *) % 1.07/1.23 assert (zenon_L559_ : ((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> (~(hskp15)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c3_1 (a1640)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> False). % 1.07/1.23 do 0 intro. intros zenon_Hf8 zenon_Hf2 zenon_Heb zenon_He8 zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_H222 zenon_Hcf zenon_H299 zenon_H26c zenon_H26e zenon_H276 zenon_H128 zenon_H129 zenon_H12a zenon_H11 zenon_H27b zenon_H211 zenon_H84 zenon_H82 zenon_H83 zenon_H13e zenon_H13d zenon_H13c zenon_Hb2 zenon_Hca zenon_H28b zenon_H28a zenon_H289 zenon_H95 zenon_Hd0 zenon_Hce. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_H20. zenon_intro zenon_Hf9. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H9a. zenon_intro zenon_Hfa. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_H98. zenon_intro zenon_H99. % 1.07/1.23 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 1.07/1.23 apply (zenon_L558_); trivial. % 1.07/1.23 apply (zenon_L55_); trivial. % 1.07/1.23 (* end of lemma zenon_L559_ *) % 1.07/1.23 assert (zenon_L560_ : ((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> (~(hskp15)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> False). % 1.07/1.23 do 0 intro. intros zenon_Hf5 zenon_Hf1 zenon_Hf2 zenon_Heb zenon_He8 zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_H222 zenon_Hcf zenon_H299 zenon_H26c zenon_H26e zenon_H276 zenon_H128 zenon_H129 zenon_H12a zenon_H11 zenon_H27b zenon_H211 zenon_H13e zenon_H13d zenon_H13c zenon_Hb2 zenon_Hca zenon_H28b zenon_H28a zenon_H289 zenon_H95 zenon_Hd0 zenon_Hce zenon_H82 zenon_H83 zenon_H84 zenon_H8d. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_H20. zenon_intro zenon_Hf6. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H79. zenon_intro zenon_Hf7. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H7a. zenon_intro zenon_H78. % 1.07/1.23 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 1.07/1.23 apply (zenon_L38_); trivial. % 1.07/1.23 apply (zenon_L559_); trivial. % 1.07/1.23 (* end of lemma zenon_L560_ *) % 1.07/1.23 assert (zenon_L561_ : ((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (c3_1 (a1640)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> (~(c0_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c3_1 (a1644))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> False). % 1.07/1.23 do 0 intro. intros zenon_H15d zenon_H118 zenon_H1ab zenon_H222 zenon_H289 zenon_H28a zenon_H28b zenon_H75 zenon_H1 zenon_H13c zenon_H13d zenon_H13e zenon_H83 zenon_H82 zenon_H84 zenon_H211 zenon_H27b zenon_H276 zenon_H26e zenon_H26c zenon_H299 zenon_H8d zenon_Hce zenon_Hd0 zenon_H95 zenon_Hca zenon_Hb2 zenon_Hcf zenon_Hd5 zenon_Hd6 zenon_Hd7 zenon_He8 zenon_Heb zenon_Hf2 zenon_Hf1 zenon_Hf0. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 1.07/1.23 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 1.07/1.23 apply (zenon_L554_); trivial. % 1.07/1.23 apply (zenon_L560_); trivial. % 1.07/1.23 apply (zenon_L136_); trivial. % 1.07/1.23 (* end of lemma zenon_L561_ *) % 1.07/1.23 assert (zenon_L562_ : ((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a1699)))/\((~(c2_1 (a1699)))/\(~(c3_1 (a1699))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp3))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((hskp4)\/(hskp23))) -> (~(hskp4)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c3_1 (a1640)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(c0_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c3_1 (a1644))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((hskp19)\/((hskp21)\/(hskp6))) -> (~(hskp6)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> False). % 1.07/1.23 do 0 intro. intros zenon_H155 zenon_H15a zenon_H118 zenon_H1ab zenon_H27b zenon_H276 zenon_H26e zenon_H26c zenon_H222 zenon_H154 zenon_H150 zenon_H105 zenon_H139 zenon_He8 zenon_H34 zenon_H1c6 zenon_H192 zenon_H191 zenon_H1a4 zenon_H211 zenon_H84 zenon_H82 zenon_H83 zenon_H1 zenon_H75 zenon_H1d zenon_H41 zenon_H289 zenon_H28a zenon_H28b zenon_H5a zenon_H5b zenon_H299 zenon_H61 zenon_H65 zenon_H8d zenon_H68 zenon_Hf2 zenon_Hd0 zenon_H95 zenon_Hd5 zenon_Hd6 zenon_Hd7 zenon_Hb2 zenon_H1ed zenon_Heb zenon_Hcf zenon_H16e zenon_Hb zenon_H11b zenon_Hca zenon_Hce zenon_H136 zenon_Hf1 zenon_Hf0. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.07/1.23 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 1.07/1.23 apply (zenon_L553_); trivial. % 1.07/1.23 apply (zenon_L442_); trivial. % 1.07/1.23 apply (zenon_L561_); trivial. % 1.07/1.23 (* end of lemma zenon_L562_ *) % 1.07/1.23 assert (zenon_L563_ : ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))) -> (~(c0_1 (a1637))) -> (c1_1 (a1643)) -> (~(c2_1 (a1643))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (~(c3_1 (a1643))) -> (ndr1_0) -> (~(hskp15)) -> False). % 1.07/1.23 do 0 intro. intros zenon_H27b zenon_H276 zenon_H26e zenon_H11d zenon_H26c zenon_H1b0 zenon_H1af zenon_H1ae zenon_H1ad zenon_H20 zenon_H11. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H275 | zenon_intro zenon_H27c ]. % 1.07/1.23 apply (zenon_L311_); trivial. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_H127 | zenon_intro zenon_H12 ]. % 1.07/1.23 apply (zenon_L125_); trivial. % 1.07/1.23 exact (zenon_H11 zenon_H12). % 1.07/1.23 (* end of lemma zenon_L563_ *) % 1.07/1.23 assert (zenon_L564_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> (~(hskp15)) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (c1_1 (a1643)) -> (~(c2_1 (a1643))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (~(c3_1 (a1643))) -> (ndr1_0) -> (~(hskp11)) -> False). % 1.07/1.23 do 0 intro. intros zenon_H132 zenon_H11 zenon_H26c zenon_H26e zenon_H276 zenon_H27b zenon_H1b0 zenon_H1af zenon_H1ae zenon_H1ad zenon_H20 zenon_H2d. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H11d | zenon_intro zenon_H135 ]. % 1.07/1.23 apply (zenon_L563_); trivial. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H127 | zenon_intro zenon_H2e ]. % 1.07/1.23 apply (zenon_L125_); trivial. % 1.07/1.23 exact (zenon_H2d zenon_H2e). % 1.07/1.23 (* end of lemma zenon_L564_ *) % 1.07/1.23 assert (zenon_L565_ : ((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (~(hskp11)) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (~(hskp15)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> False). % 1.07/1.23 do 0 intro. intros zenon_H131 zenon_H299 zenon_H28b zenon_H28a zenon_H289 zenon_H2d zenon_H1ad zenon_H1af zenon_H1b0 zenon_H27b zenon_H276 zenon_H26e zenon_H26c zenon_H11 zenon_H132. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H20. zenon_intro zenon_H133. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H120. zenon_intro zenon_H134. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 1.07/1.23 apply (zenon_L355_); trivial. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 1.07/1.23 apply (zenon_L564_); trivial. % 1.07/1.23 apply (zenon_L68_); trivial. % 1.07/1.23 (* end of lemma zenon_L565_ *) % 1.07/1.23 assert (zenon_L566_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> (~(hskp13)) -> (~(hskp12)) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp11))) -> (~(hskp11)) -> (~(hskp7)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> (~(c0_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c3_1 (a1644))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> (~(c0_1 (a1637))) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> False). % 1.07/1.23 do 0 intro. intros zenon_H118 zenon_H280 zenon_H68 zenon_H11b zenon_H34 zenon_H30 zenon_H2b zenon_H17 zenon_H1d zenon_H5a zenon_H5b zenon_H265 zenon_H276 zenon_H26e zenon_H105 zenon_H107 zenon_H65 zenon_Hce zenon_H61 zenon_H172 zenon_H2d zenon_H9 zenon_H95 zenon_Hb2 zenon_H170 zenon_Hcf zenon_Hd0 zenon_Hd5 zenon_Hd6 zenon_Hd7 zenon_He8 zenon_Heb zenon_Hf2 zenon_H289 zenon_H28a zenon_H28b zenon_H132 zenon_H26c zenon_H1ad zenon_H1af zenon_H1b0 zenon_H27b zenon_H299 zenon_H136. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H119 | zenon_intro zenon_H131 ]. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.07/1.23 apply (zenon_L309_); trivial. % 1.07/1.23 apply (zenon_L325_); trivial. % 1.07/1.23 apply (zenon_L565_); trivial. % 1.07/1.23 apply (zenon_L314_); trivial. % 1.07/1.23 (* end of lemma zenon_L566_ *) % 1.07/1.23 assert (zenon_L567_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp11))) -> (~(hskp11)) -> (~(hskp7)) -> (~(hskp19)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> (ndr1_0) -> (~(c2_1 (a1658))) -> (c1_1 (a1658)) -> (c3_1 (a1658)) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> False). % 1.07/1.23 do 0 intro. intros zenon_Hce zenon_H61 zenon_H172 zenon_H2d zenon_H9 zenon_H13 zenon_H170 zenon_H20 zenon_Hfc zenon_Hfd zenon_Hfe zenon_H105 zenon_H107. % 1.07/1.23 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.07/1.23 apply (zenon_L59_); trivial. % 1.07/1.23 apply (zenon_L92_); trivial. % 1.07/1.23 (* end of lemma zenon_L567_ *) % 1.07/1.23 assert (zenon_L568_ : ((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> (~(hskp3)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> (~(hskp7)) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> False). % 1.07/1.23 do 0 intro. intros zenon_H114 zenon_H118 zenon_Hf1 zenon_H8d zenon_H84 zenon_H83 zenon_H82 zenon_Hca zenon_H68 zenon_H11b zenon_H107 zenon_H105 zenon_H170 zenon_H9 zenon_H2d zenon_H172 zenon_H61 zenon_Hce zenon_H289 zenon_H28a zenon_H28b zenon_H132 zenon_H26c zenon_H26e zenon_H276 zenon_H1ad zenon_H1af zenon_H1b0 zenon_H27b zenon_H299 zenon_H136. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H20. zenon_intro zenon_H115. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_Hfd. zenon_intro zenon_H116. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hfe. zenon_intro zenon_Hfc. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H119 | zenon_intro zenon_H131 ]. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.07/1.23 apply (zenon_L567_); trivial. % 1.07/1.23 apply (zenon_L145_); trivial. % 1.07/1.23 apply (zenon_L565_); trivial. % 1.07/1.23 apply (zenon_L181_); trivial. % 1.07/1.23 (* end of lemma zenon_L568_ *) % 1.07/1.23 assert (zenon_L569_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp11))) -> (~(hskp11)) -> (~(hskp7)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> (~(c0_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c3_1 (a1644))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> (~(c0_1 (a1637))) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658))))))) -> False). % 1.07/1.23 do 0 intro. intros zenon_H15a zenon_H118 zenon_H280 zenon_H68 zenon_H11b zenon_H34 zenon_H30 zenon_H1d zenon_H5a zenon_H5b zenon_H265 zenon_H276 zenon_H26e zenon_H105 zenon_H107 zenon_H65 zenon_Hce zenon_H61 zenon_H172 zenon_H2d zenon_H9 zenon_H95 zenon_Hb2 zenon_H170 zenon_Hcf zenon_Hd0 zenon_Hd5 zenon_Hd6 zenon_Hd7 zenon_He8 zenon_Heb zenon_Hf2 zenon_H289 zenon_H28a zenon_H28b zenon_H132 zenon_H26c zenon_H1ad zenon_H1af zenon_H1b0 zenon_H27b zenon_H299 zenon_H136 zenon_Hca zenon_H82 zenon_H83 zenon_H84 zenon_H8d zenon_Hf1 zenon_H117. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H2b | zenon_intro zenon_H114 ]. % 1.07/1.23 apply (zenon_L566_); trivial. % 1.07/1.23 apply (zenon_L568_); trivial. % 1.07/1.23 apply (zenon_L315_); trivial. % 1.07/1.23 (* end of lemma zenon_L569_ *) % 1.07/1.23 assert (zenon_L570_ : ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp3))) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> (ndr1_0) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))) -> (~(c0_1 (a1637))) -> (~(hskp15)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (~(hskp3)) -> False). % 1.07/1.23 do 0 intro. intros zenon_H150 zenon_H161 zenon_H163 zenon_H162 zenon_H20 zenon_H27b zenon_H276 zenon_H26e zenon_H11d zenon_H26c zenon_H11 zenon_H13c zenon_H13d zenon_H13e zenon_H1ab zenon_H105. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H13b | zenon_intro zenon_H153 ]. % 1.07/1.23 apply (zenon_L74_); trivial. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_H145 | zenon_intro zenon_H106 ]. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H13b | zenon_intro zenon_H1ac ]. % 1.07/1.23 apply (zenon_L74_); trivial. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H69 | zenon_intro zenon_H127 ]. % 1.07/1.23 apply (zenon_L318_); trivial. % 1.07/1.23 apply (zenon_L148_); trivial. % 1.07/1.23 exact (zenon_H105 zenon_H106). % 1.07/1.23 (* end of lemma zenon_L570_ *) % 1.07/1.23 assert (zenon_L571_ : ((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp3))) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (~(hskp15)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (~(hskp3)) -> False). % 1.07/1.23 do 0 intro. intros zenon_H21f zenon_H299 zenon_H28b zenon_H28a zenon_H289 zenon_H150 zenon_H161 zenon_H163 zenon_H162 zenon_H27b zenon_H276 zenon_H26e zenon_H26c zenon_H11 zenon_H13c zenon_H13d zenon_H13e zenon_H1ab zenon_H105. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H20. zenon_intro zenon_H220. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H216. zenon_intro zenon_H221. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H217. zenon_intro zenon_H218. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 1.07/1.23 apply (zenon_L355_); trivial. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 1.07/1.23 apply (zenon_L194_); trivial. % 1.07/1.23 apply (zenon_L570_); trivial. % 1.07/1.23 (* end of lemma zenon_L571_ *) % 1.07/1.23 assert (zenon_L572_ : ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> (ndr1_0) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> (~(hskp0)) -> (~(hskp16)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (c3_1 (a1640)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp3))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (~(hskp15)) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> False). % 1.07/1.23 do 0 intro. intros zenon_H222 zenon_H20 zenon_H289 zenon_H28a zenon_H28b zenon_H75 zenon_H1 zenon_H73 zenon_H13c zenon_H13d zenon_H13e zenon_H83 zenon_H82 zenon_H84 zenon_H211 zenon_H150 zenon_H105 zenon_H27b zenon_H11 zenon_H161 zenon_H163 zenon_H162 zenon_H276 zenon_H26e zenon_H26c zenon_H1ab zenon_H299. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 1.07/1.23 apply (zenon_L355_); trivial. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 1.07/1.23 apply (zenon_L190_); trivial. % 1.07/1.23 apply (zenon_L570_); trivial. % 1.07/1.23 apply (zenon_L571_); trivial. % 1.07/1.23 (* end of lemma zenon_L572_ *) % 1.07/1.23 assert (zenon_L573_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (c2_1 (a1675)) -> (~(c1_1 (a1675))) -> (~(c0_1 (a1675))) -> (~(hskp15)) -> (~(c3_1 (a1642))) -> (c0_1 (a1642)) -> (~(c2_1 (a1642))) -> (~(c0_1 (a1637))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (ndr1_0) -> (~(c1_1 (a1691))) -> (c2_1 (a1691)) -> (c3_1 (a1691)) -> False). % 1.07/1.23 do 0 intro. intros zenon_Hca zenon_H9a zenon_H99 zenon_H98 zenon_H11 zenon_H162 zenon_H163 zenon_H161 zenon_H26c zenon_H11d zenon_H26e zenon_H276 zenon_H27b zenon_H20 zenon_Hc0 zenon_Hc1 zenon_Hc2. % 1.07/1.23 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H97 | zenon_intro zenon_Hcd ]. % 1.07/1.23 apply (zenon_L43_); trivial. % 1.07/1.23 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H69 | zenon_intro zenon_Ha2 ]. % 1.07/1.23 apply (zenon_L318_); trivial. % 1.07/1.23 apply (zenon_L49_); trivial. % 1.07/1.23 (* end of lemma zenon_L573_ *) % 1.07/1.23 assert (zenon_L574_ : ((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (c2_1 (a1675)) -> (~(c1_1 (a1675))) -> (~(c0_1 (a1675))) -> (~(hskp15)) -> (~(c3_1 (a1642))) -> (c0_1 (a1642)) -> (~(c2_1 (a1642))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (~(c1_1 (a1691))) -> (c2_1 (a1691)) -> (c3_1 (a1691)) -> False). % 1.07/1.23 do 0 intro. intros zenon_H21f zenon_H299 zenon_H28b zenon_H28a zenon_H289 zenon_Hca zenon_H9a zenon_H99 zenon_H98 zenon_H11 zenon_H162 zenon_H163 zenon_H161 zenon_H26c zenon_H26e zenon_H276 zenon_H27b zenon_Hc0 zenon_Hc1 zenon_Hc2. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H20. zenon_intro zenon_H220. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H216. zenon_intro zenon_H221. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H217. zenon_intro zenon_H218. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 1.07/1.23 apply (zenon_L355_); trivial. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 1.07/1.23 apply (zenon_L194_); trivial. % 1.07/1.23 apply (zenon_L573_); trivial. % 1.07/1.23 (* end of lemma zenon_L574_ *) % 1.07/1.23 assert (zenon_L575_ : ((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (c3_1 (a1640)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c2_1 (a1675)) -> (~(c1_1 (a1675))) -> (~(c0_1 (a1675))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> (~(c3_1 (a1642))) -> (c0_1 (a1642)) -> (~(c2_1 (a1642))) -> (~(hskp15)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> False). % 1.07/1.23 do 0 intro. intros zenon_Hc9 zenon_H222 zenon_H289 zenon_H28a zenon_H28b zenon_Hca zenon_H13c zenon_H13d zenon_H13e zenon_H83 zenon_H82 zenon_H84 zenon_H211 zenon_H9a zenon_H99 zenon_H98 zenon_H26c zenon_H26e zenon_H276 zenon_H162 zenon_H163 zenon_H161 zenon_H11 zenon_H27b zenon_H299. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H20. zenon_intro zenon_Hcb. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc1. zenon_intro zenon_Hcc. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc2. zenon_intro zenon_Hc0. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 1.07/1.23 apply (zenon_L355_); trivial. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 1.07/1.23 apply (zenon_L429_); trivial. % 1.07/1.23 apply (zenon_L573_); trivial. % 1.07/1.23 apply (zenon_L574_); trivial. % 1.07/1.23 (* end of lemma zenon_L575_ *) % 1.07/1.23 assert (zenon_L576_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a1699)))/\((~(c2_1 (a1699)))/\(~(c3_1 (a1699))))))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((hskp4)\/(hskp23))) -> ((hskp19)\/((hskp21)\/(hskp6))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> (~(c3_1 (a1642))) -> (c0_1 (a1642)) -> (~(c2_1 (a1642))) -> (~(hskp15)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (~(hskp3)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp3))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c3_1 (a1640)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (ndr1_0) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> False). % 1.07/1.23 do 0 intro. intros zenon_Hf0 zenon_Hf1 zenon_H68 zenon_H154 zenon_He8 zenon_H139 zenon_H16e zenon_Hb zenon_Hca zenon_Hce zenon_H8d zenon_H299 zenon_H1ab zenon_H26c zenon_H26e zenon_H276 zenon_H162 zenon_H163 zenon_H161 zenon_H11 zenon_H27b zenon_H105 zenon_H150 zenon_H211 zenon_H84 zenon_H82 zenon_H83 zenon_H13e zenon_H13d zenon_H13c zenon_H1 zenon_H75 zenon_H28b zenon_H28a zenon_H289 zenon_H20 zenon_H222. % 1.07/1.23 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 1.07/1.23 apply (zenon_L572_); trivial. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_H20. zenon_intro zenon_Hf6. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H79. zenon_intro zenon_Hf7. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H7a. zenon_intro zenon_H78. % 1.07/1.23 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 1.07/1.23 apply (zenon_L38_); trivial. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_H20. zenon_intro zenon_Hf9. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H9a. zenon_intro zenon_Hfa. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_H98. zenon_intro zenon_H99. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.07/1.23 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.07/1.23 apply (zenon_L85_); trivial. % 1.07/1.23 apply (zenon_L575_); trivial. % 1.07/1.23 apply (zenon_L77_); trivial. % 1.07/1.23 (* end of lemma zenon_L576_ *) % 1.07/1.23 assert (zenon_L577_ : ((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> (~(hskp0)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (c3_1 (a1640)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp3))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(hskp6)) -> ((hskp19)\/((hskp21)\/(hskp6))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((hskp4)\/(hskp23))) -> (~(hskp4)) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a1699)))/\((~(c2_1 (a1699)))/\(~(c3_1 (a1699))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> False). % 1.07/1.23 do 0 intro. intros zenon_H155 zenon_H118 zenon_H222 zenon_H289 zenon_H28a zenon_H28b zenon_H75 zenon_H1 zenon_H83 zenon_H82 zenon_H84 zenon_H211 zenon_H150 zenon_H105 zenon_H27b zenon_H161 zenon_H163 zenon_H162 zenon_H276 zenon_H26e zenon_H26c zenon_H1ab zenon_H299 zenon_H8d zenon_Hce zenon_Hca zenon_Hb zenon_H16e zenon_H139 zenon_He8 zenon_H154 zenon_H68 zenon_Hf1 zenon_Hf0. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 1.07/1.23 apply (zenon_L576_); trivial. % 1.07/1.23 apply (zenon_L156_); trivial. % 1.07/1.23 (* end of lemma zenon_L577_ *) % 1.07/1.23 assert (zenon_L578_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> (~(hskp0)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp3))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(hskp6)) -> ((hskp19)\/((hskp21)\/(hskp6))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((hskp4)\/(hskp23))) -> (~(hskp4)) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a1699)))/\((~(c2_1 (a1699)))/\(~(c3_1 (a1699))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> (~(c3_1 (a1642))) -> (c0_1 (a1642)) -> (~(c2_1 (a1642))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> (c3_1 (a1637)) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (~(hskp9)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> False). % 1.07/1.23 do 0 intro. intros zenon_H159 zenon_H222 zenon_H289 zenon_H28a zenon_H28b zenon_H75 zenon_H1 zenon_H211 zenon_H150 zenon_H1ab zenon_H299 zenon_Hb zenon_H16e zenon_H139 zenon_He8 zenon_H154 zenon_H68 zenon_Hf0 zenon_H117 zenon_H118 zenon_Hce zenon_Hca zenon_H27b zenon_H82 zenon_H83 zenon_H84 zenon_H8d zenon_H105 zenon_H107 zenon_Hf1 zenon_H34 zenon_H30 zenon_H1d zenon_H132 zenon_H162 zenon_H163 zenon_H161 zenon_H280 zenon_H276 zenon_H26c zenon_H26e zenon_Hd zenon_H286 zenon_H65 zenon_H15a. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.07/1.23 apply (zenon_L336_); trivial. % 1.07/1.23 apply (zenon_L577_); trivial. % 1.07/1.23 (* end of lemma zenon_L578_ *) % 1.07/1.23 assert (zenon_L579_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (c2_1 (a1675)) -> (~(c1_1 (a1675))) -> (~(c0_1 (a1675))) -> (~(hskp15)) -> (~(c3_1 (a1642))) -> (c0_1 (a1642)) -> (~(c2_1 (a1642))) -> (~(c0_1 (a1637))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (c3_1 (a1712)) -> (c2_1 (a1712)) -> (c0_1 (a1712)) -> (ndr1_0) -> (~(hskp20)) -> (~(hskp21)) -> False). % 1.07/1.23 do 0 intro. intros zenon_Hca zenon_H9a zenon_H99 zenon_H98 zenon_H11 zenon_H162 zenon_H163 zenon_H161 zenon_H26c zenon_H11d zenon_H26e zenon_H276 zenon_H27b zenon_Hb2 zenon_Ha4 zenon_Ha3 zenon_Ha1 zenon_H20 zenon_H91 zenon_Hb0. % 1.07/1.23 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H97 | zenon_intro zenon_Hcd ]. % 1.07/1.23 apply (zenon_L43_); trivial. % 1.07/1.23 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H69 | zenon_intro zenon_Ha2 ]. % 1.07/1.23 apply (zenon_L318_); trivial. % 1.07/1.23 apply (zenon_L46_); trivial. % 1.07/1.23 (* end of lemma zenon_L579_ *) % 1.07/1.23 assert (zenon_L580_ : ((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(hskp20)) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(hskp21)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> (~(c3_1 (a1642))) -> (c0_1 (a1642)) -> (~(c2_1 (a1642))) -> (~(hskp15)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (c2_1 (a1675)) -> (~(c1_1 (a1675))) -> (~(c0_1 (a1675))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> False). % 1.07/1.23 do 0 intro. intros zenon_H21f zenon_Hd0 zenon_H95 zenon_H91 zenon_H289 zenon_H28a zenon_H28b zenon_Hca zenon_Hb0 zenon_Hb2 zenon_H26c zenon_H26e zenon_H276 zenon_H162 zenon_H163 zenon_H161 zenon_H11 zenon_H27b zenon_H9a zenon_H99 zenon_H98 zenon_H299 zenon_Hcf. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H20. zenon_intro zenon_H220. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H216. zenon_intro zenon_H221. % 1.07/1.23 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H217. zenon_intro zenon_H218. % 1.07/1.23 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H8f | zenon_intro zenon_Hbd ]. % 1.07/1.23 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H93 | zenon_intro zenon_Hd1 ]. % 1.07/1.23 apply (zenon_L42_); trivial. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H20. zenon_intro zenon_Hd2. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Ha1. zenon_intro zenon_Hd3. % 1.07/1.23 apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_Ha3. zenon_intro zenon_Ha4. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 1.07/1.23 apply (zenon_L355_); trivial. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 1.07/1.23 apply (zenon_L194_); trivial. % 1.07/1.23 apply (zenon_L579_); trivial. % 1.07/1.23 apply (zenon_L48_); trivial. % 1.07/1.23 (* end of lemma zenon_L580_ *) % 1.07/1.23 assert (zenon_L581_ : ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (~(hskp15)) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (~(c0_1 (a1675))) -> (~(c1_1 (a1675))) -> (c2_1 (a1675)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c3_1 (a1640)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(hskp21)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (~(hskp20)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> False). % 1.07/1.23 do 0 intro. intros zenon_H222 zenon_Hcf zenon_H299 zenon_H27b zenon_H11 zenon_H161 zenon_H163 zenon_H162 zenon_H276 zenon_H26e zenon_H26c zenon_H98 zenon_H99 zenon_H9a zenon_H211 zenon_H84 zenon_H82 zenon_H83 zenon_H13e zenon_H13d zenon_H13c zenon_Hb2 zenon_Hb0 zenon_Hca zenon_H28b zenon_H28a zenon_H289 zenon_H91 zenon_H95 zenon_Hd0. % 1.07/1.23 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.07/1.23 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H8f | zenon_intro zenon_Hbd ]. % 1.07/1.23 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H93 | zenon_intro zenon_Hd1 ]. % 1.07/1.24 apply (zenon_L42_); trivial. % 1.07/1.24 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H20. zenon_intro zenon_Hd2. % 1.07/1.24 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Ha1. zenon_intro zenon_Hd3. % 1.07/1.24 apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_Ha3. zenon_intro zenon_Ha4. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 1.07/1.24 apply (zenon_L355_); trivial. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 1.07/1.24 apply (zenon_L434_); trivial. % 1.07/1.24 apply (zenon_L579_); trivial. % 1.07/1.24 apply (zenon_L48_); trivial. % 1.07/1.24 apply (zenon_L580_); trivial. % 1.07/1.24 (* end of lemma zenon_L581_ *) % 1.07/1.24 assert (zenon_L582_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(hskp20)) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (c3_1 (a1640)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c2_1 (a1675)) -> (~(c1_1 (a1675))) -> (~(c0_1 (a1675))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> (~(c3_1 (a1642))) -> (c0_1 (a1642)) -> (~(c2_1 (a1642))) -> (~(hskp15)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> False). % 1.07/1.24 do 0 intro. intros zenon_Hce zenon_Hd0 zenon_H95 zenon_H91 zenon_H289 zenon_H28a zenon_H28b zenon_Hca zenon_Hb2 zenon_H13c zenon_H13d zenon_H13e zenon_H83 zenon_H82 zenon_H84 zenon_H211 zenon_H9a zenon_H99 zenon_H98 zenon_H26c zenon_H26e zenon_H276 zenon_H162 zenon_H163 zenon_H161 zenon_H11 zenon_H27b zenon_H299 zenon_Hcf zenon_H222. % 1.07/1.24 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.07/1.24 apply (zenon_L581_); trivial. % 1.07/1.24 apply (zenon_L575_); trivial. % 1.07/1.24 (* end of lemma zenon_L582_ *) % 1.07/1.24 assert (zenon_L583_ : ((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> (~(hskp0)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (c3_1 (a1640)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp3))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> (~(c0_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c3_1 (a1644))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> False). % 1.07/1.24 do 0 intro. intros zenon_H155 zenon_H118 zenon_H222 zenon_H289 zenon_H28a zenon_H28b zenon_H75 zenon_H1 zenon_H83 zenon_H82 zenon_H84 zenon_H211 zenon_H150 zenon_H105 zenon_H27b zenon_H161 zenon_H163 zenon_H162 zenon_H276 zenon_H26e zenon_H26c zenon_H1ab zenon_H299 zenon_H8d zenon_Hce zenon_Hd0 zenon_H95 zenon_Hca zenon_Hb2 zenon_Hcf zenon_Hd5 zenon_Hd6 zenon_Hd7 zenon_He8 zenon_Heb zenon_Hf2 zenon_Hf1 zenon_Hf0. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 1.07/1.24 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 1.07/1.24 apply (zenon_L572_); trivial. % 1.07/1.24 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_H20. zenon_intro zenon_Hf6. % 1.07/1.24 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H79. zenon_intro zenon_Hf7. % 1.07/1.24 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H7a. zenon_intro zenon_H78. % 1.07/1.24 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 1.07/1.24 apply (zenon_L38_); trivial. % 1.07/1.24 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_H20. zenon_intro zenon_Hf9. % 1.07/1.24 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H9a. zenon_intro zenon_Hfa. % 1.07/1.24 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_H98. zenon_intro zenon_H99. % 1.07/1.24 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 1.07/1.24 apply (zenon_L582_); trivial. % 1.07/1.24 apply (zenon_L55_); trivial. % 1.07/1.24 apply (zenon_L56_); trivial. % 1.07/1.24 (* end of lemma zenon_L583_ *) % 1.07/1.24 assert (zenon_L584_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(hskp12)) -> (~(hskp13)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(hskp7)) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((hskp7)\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> False). % 1.07/1.24 do 0 intro. intros zenon_Hf1 zenon_Hf2 zenon_H65 zenon_Heb zenon_He8 zenon_H179 zenon_H17a zenon_H17b zenon_H5a zenon_H1d zenon_H17 zenon_H2b zenon_H30 zenon_H34 zenon_Hd0 zenon_Hcf zenon_H170 zenon_Hb2 zenon_H95 zenon_H9 zenon_H2d zenon_H172 zenon_H61 zenon_Hce zenon_H107 zenon_H105 zenon_H26e zenon_H276 zenon_H265 zenon_H5b zenon_H8d zenon_H84 zenon_H83 zenon_H82 zenon_H18d zenon_H18f zenon_H68. % 1.07/1.24 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.07/1.24 apply (zenon_L98_); trivial. % 1.07/1.24 apply (zenon_L548_); trivial. % 1.07/1.24 apply (zenon_L107_); trivial. % 1.07/1.24 (* end of lemma zenon_L584_ *) % 1.07/1.24 assert (zenon_L585_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (~(c0_1 (a1637))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(hskp7)) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((hskp7)\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/(hskp7))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658))))))) -> False). % 1.07/1.24 do 0 intro. intros zenon_H15a zenon_H118 zenon_H280 zenon_H27b zenon_H26c zenon_H132 zenon_Hf1 zenon_Hf2 zenon_H65 zenon_Heb zenon_He8 zenon_H179 zenon_H17a zenon_H17b zenon_H5a zenon_H1d zenon_H30 zenon_H34 zenon_Hd0 zenon_Hcf zenon_H170 zenon_Hb2 zenon_H95 zenon_H9 zenon_H2d zenon_H172 zenon_H61 zenon_Hce zenon_H107 zenon_H105 zenon_H26e zenon_H276 zenon_H265 zenon_H5b zenon_H8d zenon_H84 zenon_H83 zenon_H82 zenon_H18d zenon_H18f zenon_H68 zenon_H187 zenon_H112 zenon_H117. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H2b | zenon_intro zenon_H114 ]. % 1.07/1.24 apply (zenon_L584_); trivial. % 1.07/1.24 apply (zenon_L101_); trivial. % 1.07/1.24 apply (zenon_L315_); trivial. % 1.07/1.24 (* end of lemma zenon_L585_ *) % 1.07/1.24 assert (zenon_L586_ : ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a1699)))/\((~(c2_1 (a1699)))/\(~(c3_1 (a1699))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp3))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((hskp4)\/(hskp23))) -> (~(hskp4)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp18)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c3_1 (a1640)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(hskp16)) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (~(hskp20)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(hskp21)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> False). % 1.07/1.24 do 0 intro. intros zenon_H222 zenon_H154 zenon_H150 zenon_H105 zenon_H139 zenon_He8 zenon_Hcf zenon_H299 zenon_H16a zenon_Hd zenon_H119 zenon_H11b zenon_H211 zenon_H84 zenon_H82 zenon_H83 zenon_H13e zenon_H13d zenon_H13c zenon_H73 zenon_H1 zenon_H75 zenon_H28b zenon_H28a zenon_H289 zenon_H91 zenon_H95 zenon_Hb0 zenon_Hb2 zenon_Hd0. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.07/1.24 apply (zenon_L447_); trivial. % 1.07/1.24 apply (zenon_L552_); trivial. % 1.07/1.24 (* end of lemma zenon_L586_ *) % 1.07/1.24 assert (zenon_L587_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(hskp20)) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> (~(hskp0)) -> (~(hskp16)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (c3_1 (a1640)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> (~(hskp18)) -> (~(hskp9)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp9))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((hskp4)\/(hskp23))) -> (~(hskp3)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a1699)))/\((~(c2_1 (a1699)))/\(~(c3_1 (a1699))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> False). % 1.07/1.24 do 0 intro. intros zenon_Hce zenon_Hd0 zenon_Hb2 zenon_H95 zenon_H91 zenon_H289 zenon_H28a zenon_H28b zenon_H75 zenon_H1 zenon_H73 zenon_H13c zenon_H13d zenon_H13e zenon_H83 zenon_H82 zenon_H84 zenon_H211 zenon_H11b zenon_H119 zenon_Hd zenon_H16a zenon_H299 zenon_Hcf zenon_He8 zenon_H139 zenon_H105 zenon_H150 zenon_H154 zenon_H222. % 1.07/1.24 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.07/1.24 apply (zenon_L586_); trivial. % 1.07/1.24 apply (zenon_L452_); trivial. % 1.07/1.24 (* end of lemma zenon_L587_ *) % 1.07/1.24 assert (zenon_L588_ : ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp3))) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2))))) -> (~(c3_1 (a1699))) -> (~(c2_1 (a1699))) -> (~(c1_1 (a1699))) -> (ndr1_0) -> (~(hskp3)) -> False). % 1.07/1.24 do 0 intro. intros zenon_H150 zenon_H17a zenon_H179 zenon_Hd4 zenon_H148 zenon_H147 zenon_H146 zenon_H20 zenon_H105. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H13b | zenon_intro zenon_H153 ]. % 1.07/1.24 apply (zenon_L128_); trivial. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_H145 | zenon_intro zenon_H106 ]. % 1.07/1.24 apply (zenon_L75_); trivial. % 1.07/1.24 exact (zenon_H105 zenon_H106). % 1.07/1.24 (* end of lemma zenon_L588_ *) % 1.07/1.24 assert (zenon_L589_ : ((ndr1_0)/\((~(c1_1 (a1699)))/\((~(c2_1 (a1699)))/\(~(c3_1 (a1699)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp3)) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp3))) -> (c1_1 (a1689)) -> (c0_1 (a1689)) -> (~(c2_1 (a1689))) -> (~(hskp4)) -> False). % 1.07/1.24 do 0 intro. intros zenon_H14f zenon_Heb zenon_H105 zenon_H179 zenon_H17a zenon_H150 zenon_He1 zenon_He0 zenon_Hdf zenon_He8. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H20. zenon_intro zenon_H151. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H151). zenon_intro zenon_H146. zenon_intro zenon_H152. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_H147. zenon_intro zenon_H148. % 1.07/1.24 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hee ]. % 1.07/1.24 apply (zenon_L588_); trivial. % 1.07/1.24 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_Hde | zenon_intro zenon_He9 ]. % 1.07/1.24 apply (zenon_L53_); trivial. % 1.07/1.24 exact (zenon_He8 zenon_He9). % 1.07/1.24 (* end of lemma zenon_L589_ *) % 1.07/1.24 assert (zenon_L590_ : ((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a1699)))/\((~(c2_1 (a1699)))/\(~(c3_1 (a1699))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (c1_1 (a1689)) -> (c0_1 (a1689)) -> (~(c2_1 (a1689))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (~(hskp3)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp3))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((hskp4)\/(hskp23))) -> (~(hskp4)) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> False). % 1.07/1.24 do 0 intro. intros zenon_H21f zenon_H154 zenon_Heb zenon_He1 zenon_He0 zenon_Hdf zenon_H179 zenon_H17a zenon_H105 zenon_H150 zenon_H289 zenon_H28a zenon_H28b zenon_H139 zenon_He8 zenon_H13e zenon_H13d zenon_H13c zenon_H299. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H20. zenon_intro zenon_H220. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H216. zenon_intro zenon_H221. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H217. zenon_intro zenon_H218. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H137 | zenon_intro zenon_H14f ]. % 1.07/1.24 apply (zenon_L551_); trivial. % 1.07/1.24 apply (zenon_L589_); trivial. % 1.07/1.24 (* end of lemma zenon_L590_ *) % 1.07/1.24 assert (zenon_L591_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((hskp7)\/(hskp8))) -> (~(hskp8)) -> (~(hskp7)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(hskp12)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (c3_1 (a1640)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((hskp4)\/(hskp23))) -> (~(hskp3)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a1699)))/\((~(c2_1 (a1699)))/\(~(c3_1 (a1699))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> False). % 1.07/1.24 do 0 intro. intros zenon_Hf0 zenon_Hf1 zenon_H18f zenon_H18d zenon_H9 zenon_H8d zenon_H65 zenon_H61 zenon_H299 zenon_H5b zenon_H5a zenon_H28b zenon_H28a zenon_H289 zenon_H41 zenon_H1d zenon_H17 zenon_H75 zenon_H1 zenon_H13c zenon_H13d zenon_H13e zenon_H83 zenon_H82 zenon_H84 zenon_H211 zenon_H1a4 zenon_H191 zenon_H192 zenon_H1c6 zenon_H34 zenon_He8 zenon_H139 zenon_H105 zenon_H150 zenon_H154 zenon_H222. % 1.07/1.24 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 1.07/1.24 apply (zenon_L553_); trivial. % 1.07/1.24 apply (zenon_L108_); trivial. % 1.07/1.24 (* end of lemma zenon_L591_ *) % 1.07/1.24 assert (zenon_L592_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (~(hskp15)) -> (c1_1 (a1643)) -> (~(c2_1 (a1643))) -> (~(c3_1 (a1643))) -> (~(c0_1 (a1637))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(hskp12)) -> (~(hskp13)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(hskp7)) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> False). % 1.07/1.24 do 0 intro. intros zenon_H136 zenon_H299 zenon_H27b zenon_H11 zenon_H1b0 zenon_H1af zenon_H1ad zenon_H26c zenon_H132 zenon_H28b zenon_H28a zenon_H289 zenon_Hf2 zenon_H65 zenon_Heb zenon_He8 zenon_H179 zenon_H17a zenon_H17b zenon_H5a zenon_H1d zenon_H17 zenon_H2b zenon_H30 zenon_H34 zenon_Hd0 zenon_Hcf zenon_H170 zenon_Hb2 zenon_H95 zenon_H9 zenon_H2d zenon_H172 zenon_H61 zenon_Hce zenon_H107 zenon_H105 zenon_H26e zenon_H276 zenon_H265 zenon_H5b zenon_H11b zenon_H68. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H119 | zenon_intro zenon_H131 ]. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.07/1.24 apply (zenon_L98_); trivial. % 1.07/1.24 apply (zenon_L325_); trivial. % 1.07/1.24 apply (zenon_L565_); trivial. % 1.07/1.24 (* end of lemma zenon_L592_ *) % 1.07/1.24 assert (zenon_L593_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp11))) -> (~(hskp11)) -> (~(hskp7)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> (~(hskp13)) -> (~(hskp12)) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> (~(c0_1 (a1637))) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> False). % 1.07/1.24 do 0 intro. intros zenon_H118 zenon_Hf0 zenon_Hf1 zenon_H1c6 zenon_H1ab zenon_Hca zenon_H82 zenon_H83 zenon_H84 zenon_H8d zenon_H1 zenon_H75 zenon_H68 zenon_H11b zenon_H5b zenon_H265 zenon_H276 zenon_H26e zenon_H105 zenon_H107 zenon_Hce zenon_H61 zenon_H172 zenon_H2d zenon_H9 zenon_H95 zenon_Hb2 zenon_H170 zenon_Hcf zenon_Hd0 zenon_H34 zenon_H30 zenon_H2b zenon_H17 zenon_H1d zenon_H5a zenon_H17b zenon_H17a zenon_H179 zenon_He8 zenon_Heb zenon_H65 zenon_Hf2 zenon_H289 zenon_H28a zenon_H28b zenon_H132 zenon_H26c zenon_H1ad zenon_H1af zenon_H1b0 zenon_H27b zenon_H299 zenon_H136. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 1.07/1.24 apply (zenon_L592_); trivial. % 1.07/1.24 apply (zenon_L135_); trivial. % 1.07/1.24 (* end of lemma zenon_L593_ *) % 1.07/1.24 assert (zenon_L594_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp11))) -> (~(hskp11)) -> (~(hskp7)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> (~(c0_1 (a1637))) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658))))))) -> False). % 1.07/1.24 do 0 intro. intros zenon_H15a zenon_H280 zenon_H118 zenon_Hf0 zenon_Hf1 zenon_H1c6 zenon_H1ab zenon_Hca zenon_H82 zenon_H83 zenon_H84 zenon_H8d zenon_H1 zenon_H75 zenon_H68 zenon_H11b zenon_H5b zenon_H265 zenon_H276 zenon_H26e zenon_H105 zenon_H107 zenon_Hce zenon_H61 zenon_H172 zenon_H2d zenon_H9 zenon_H95 zenon_Hb2 zenon_H170 zenon_Hcf zenon_Hd0 zenon_H34 zenon_H30 zenon_H1d zenon_H5a zenon_H17b zenon_H17a zenon_H179 zenon_He8 zenon_Heb zenon_H65 zenon_Hf2 zenon_H289 zenon_H28a zenon_H28b zenon_H132 zenon_H26c zenon_H1ad zenon_H1af zenon_H1b0 zenon_H27b zenon_H299 zenon_H136 zenon_H117. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H2b | zenon_intro zenon_H114 ]. % 1.07/1.24 apply (zenon_L593_); trivial. % 1.07/1.24 apply (zenon_L568_); trivial. % 1.07/1.24 apply (zenon_L315_); trivial. % 1.07/1.24 (* end of lemma zenon_L594_ *) % 1.07/1.24 assert (zenon_L595_ : ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2))))) -> (~(hskp22)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (c3_1 (a1640)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (ndr1_0) -> (~(c3_1 (a1643))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> False). % 1.07/1.24 do 0 intro. intros zenon_H1ab zenon_H17a zenon_H179 zenon_Hd4 zenon_H20f zenon_H83 zenon_H82 zenon_H84 zenon_H13c zenon_H13d zenon_H13e zenon_H211 zenon_H20 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1b0. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H13b | zenon_intro zenon_H1ac ]. % 1.07/1.24 apply (zenon_L128_); trivial. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H69 | zenon_intro zenon_H127 ]. % 1.07/1.24 apply (zenon_L189_); trivial. % 1.07/1.24 apply (zenon_L125_); trivial. % 1.07/1.24 (* end of lemma zenon_L595_ *) % 1.07/1.24 assert (zenon_L596_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (c1_1 (a1643)) -> (~(c2_1 (a1643))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (~(c3_1 (a1643))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (c3_1 (a1640)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (~(hskp22)) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c1_1 (a1689)) -> (c0_1 (a1689)) -> (~(c2_1 (a1689))) -> (ndr1_0) -> (~(hskp4)) -> False). % 1.07/1.24 do 0 intro. intros zenon_Heb zenon_H1b0 zenon_H1af zenon_H1ae zenon_H1ad zenon_H211 zenon_H13e zenon_H13d zenon_H13c zenon_H84 zenon_H82 zenon_H83 zenon_H20f zenon_H179 zenon_H17a zenon_H1ab zenon_He1 zenon_He0 zenon_Hdf zenon_H20 zenon_He8. % 1.07/1.24 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hee ]. % 1.07/1.24 apply (zenon_L595_); trivial. % 1.07/1.24 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_Hde | zenon_intro zenon_He9 ]. % 1.07/1.24 apply (zenon_L53_); trivial. % 1.07/1.24 exact (zenon_He8 zenon_He9). % 1.07/1.24 (* end of lemma zenon_L596_ *) % 1.07/1.24 assert (zenon_L597_ : ((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((hskp4)\/(hskp23))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c1_1 (a1643)) -> (~(c2_1 (a1643))) -> (~(c3_1 (a1643))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (c3_1 (a1640)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (~(hskp3)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a1699)))/\((~(c2_1 (a1699)))/\(~(c3_1 (a1699))))))) -> False). % 1.07/1.24 do 0 intro. intros zenon_Hea zenon_H222 zenon_H299 zenon_H139 zenon_H1ab zenon_H1b0 zenon_H1af zenon_H1ad zenon_H13c zenon_H13d zenon_H13e zenon_H83 zenon_H82 zenon_H84 zenon_H211 zenon_H17a zenon_H179 zenon_He8 zenon_Heb zenon_H28b zenon_H28a zenon_H289 zenon_H105 zenon_H150 zenon_H154. % 1.07/1.24 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H20. zenon_intro zenon_Hec. % 1.07/1.24 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He0. zenon_intro zenon_Hed. % 1.07/1.24 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_He1. zenon_intro zenon_Hdf. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H137 | zenon_intro zenon_H14f ]. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 1.07/1.24 apply (zenon_L355_); trivial. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 1.07/1.24 apply (zenon_L596_); trivial. % 1.07/1.24 apply (zenon_L550_); trivial. % 1.07/1.24 apply (zenon_L76_); trivial. % 1.07/1.24 apply (zenon_L590_); trivial. % 1.07/1.24 (* end of lemma zenon_L597_ *) % 1.07/1.24 assert (zenon_L598_ : ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> (c0_1 (a1667)) -> (c2_1 (a1667)) -> (~(c1_1 (a1667))) -> (forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))) -> (~(hskp18)) -> False). % 1.07/1.24 do 0 intro. intros zenon_H11b zenon_H79 zenon_H7a zenon_H78 zenon_H1c3 zenon_H13e zenon_H13d zenon_H13c zenon_H20 zenon_H11d zenon_H119. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H11c ]. % 1.07/1.24 apply (zenon_L132_); trivial. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H43 | zenon_intro zenon_H11a ]. % 1.07/1.24 apply (zenon_L361_); trivial. % 1.07/1.24 exact (zenon_H119 zenon_H11a). % 1.07/1.24 (* end of lemma zenon_L598_ *) % 1.07/1.24 assert (zenon_L599_ : ((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c3_1 (a1697))) -> (~(c2_1 (a1697))) -> (~(c0_1 (a1697))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> (c0_1 (a1667)) -> (c2_1 (a1667)) -> (~(c1_1 (a1667))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(hskp18)) -> False). % 1.07/1.24 do 0 intro. intros zenon_H2f zenon_H299 zenon_H28b zenon_H28a zenon_H289 zenon_H1c6 zenon_H218 zenon_H217 zenon_H216 zenon_H11b zenon_H79 zenon_H7a zenon_H78 zenon_H13e zenon_H13d zenon_H13c zenon_H119. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H20. zenon_intro zenon_H31. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H23. zenon_intro zenon_H32. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H24. zenon_intro zenon_H22. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 1.07/1.24 apply (zenon_L355_); trivial. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 1.07/1.24 apply (zenon_L194_); trivial. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1c7 ]. % 1.07/1.24 apply (zenon_L194_); trivial. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H21 | zenon_intro zenon_H1c3 ]. % 1.07/1.24 apply (zenon_L17_); trivial. % 1.07/1.24 apply (zenon_L598_); trivial. % 1.07/1.24 (* end of lemma zenon_L599_ *) % 1.07/1.24 assert (zenon_L600_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> (~(hskp18)) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (c0_1 (a1667)) -> (c2_1 (a1667)) -> (~(c1_1 (a1667))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c3_1 (a1697))) -> (~(c2_1 (a1697))) -> (~(c0_1 (a1697))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (~(hskp12)) -> (~(hskp24)) -> ((hskp12)\/((hskp25)\/(hskp24))) -> False). % 1.07/1.24 do 0 intro. intros zenon_H34 zenon_H299 zenon_H11b zenon_H119 zenon_H13e zenon_H13d zenon_H13c zenon_H79 zenon_H7a zenon_H78 zenon_H1c6 zenon_H218 zenon_H217 zenon_H216 zenon_H28b zenon_H28a zenon_H289 zenon_H17 zenon_H1b zenon_H1d. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 1.07/1.24 apply (zenon_L15_); trivial. % 1.07/1.24 apply (zenon_L599_); trivial. % 1.07/1.24 (* end of lemma zenon_L600_ *) % 1.07/1.24 assert (zenon_L601_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a1667)) -> (c2_1 (a1667)) -> (~(c1_1 (a1667))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c0_1 (a1675))) -> (~(c1_1 (a1675))) -> (c2_1 (a1675)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(hskp22)) -> (c3_1 (a1640)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(c1_1 (a1691))) -> (c2_1 (a1691)) -> (c3_1 (a1691)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (~(hskp12)) -> (~(hskp24)) -> ((hskp12)\/((hskp25)\/(hskp24))) -> False). % 1.07/1.24 do 0 intro. intros zenon_H34 zenon_H299 zenon_H11b zenon_H119 zenon_H79 zenon_H7a zenon_H78 zenon_H1c6 zenon_H98 zenon_H99 zenon_H9a zenon_H211 zenon_H20f zenon_H84 zenon_H82 zenon_H83 zenon_H13e zenon_H13d zenon_H13c zenon_Hc0 zenon_Hc1 zenon_Hc2 zenon_Hca zenon_H28b zenon_H28a zenon_H289 zenon_H17 zenon_H1b zenon_H1d. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 1.07/1.24 apply (zenon_L15_); trivial. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H20. zenon_intro zenon_H31. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H23. zenon_intro zenon_H32. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H24. zenon_intro zenon_H22. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 1.07/1.24 apply (zenon_L355_); trivial. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 1.07/1.24 apply (zenon_L429_); trivial. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1c7 ]. % 1.07/1.24 apply (zenon_L429_); trivial. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H21 | zenon_intro zenon_H1c3 ]. % 1.07/1.24 apply (zenon_L17_); trivial. % 1.07/1.24 apply (zenon_L598_); trivial. % 1.07/1.24 (* end of lemma zenon_L601_ *) % 1.07/1.24 assert (zenon_L602_ : ((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (c3_1 (a1691)) -> (c2_1 (a1691)) -> (~(c1_1 (a1691))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (~(hskp15)) -> (c1_1 (a1643)) -> (~(c2_1 (a1643))) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(hskp12)) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c1_1 (a1667))) -> (c2_1 (a1667)) -> (c0_1 (a1667)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (~(hskp18)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> False). % 1.07/1.24 do 0 intro. intros zenon_H21f zenon_H65 zenon_H61 zenon_H5b zenon_H5a zenon_H17b zenon_H17a zenon_H179 zenon_Hca zenon_Hc2 zenon_Hc1 zenon_Hc0 zenon_H27b zenon_H11 zenon_H1b0 zenon_H1af zenon_H1ad zenon_H82 zenon_H83 zenon_H84 zenon_H1ed zenon_H1ab zenon_He8 zenon_Heb zenon_H1 zenon_H41 zenon_H1d zenon_H17 zenon_H289 zenon_H28a zenon_H28b zenon_H1c6 zenon_H78 zenon_H7a zenon_H79 zenon_H13c zenon_H13d zenon_H13e zenon_H119 zenon_H11b zenon_H299 zenon_H34. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H20. zenon_intro zenon_H220. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H216. zenon_intro zenon_H221. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H217. zenon_intro zenon_H218. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.07/1.24 apply (zenon_L600_); trivial. % 1.07/1.24 apply (zenon_L489_); trivial. % 1.07/1.24 (* end of lemma zenon_L602_ *) % 1.07/1.24 assert (zenon_L603_ : ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> (c0_1 (a1667)) -> (c2_1 (a1667)) -> (~(c1_1 (a1667))) -> (forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))) -> (c2_1 (a1682)) -> (c1_1 (a1682)) -> (~(c3_1 (a1682))) -> (ndr1_0) -> (~(hskp18)) -> False). % 1.07/1.24 do 0 intro. intros zenon_H11b zenon_H79 zenon_H7a zenon_H78 zenon_H1c3 zenon_H46 zenon_H45 zenon_H44 zenon_H20 zenon_H119. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H11c ]. % 1.07/1.24 apply (zenon_L132_); trivial. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H43 | zenon_intro zenon_H11a ]. % 1.07/1.24 apply (zenon_L25_); trivial. % 1.07/1.24 exact (zenon_H119 zenon_H11a). % 1.07/1.24 (* end of lemma zenon_L603_ *) % 1.07/1.24 assert (zenon_L604_ : ((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c3_1 (a1697))) -> (~(c2_1 (a1697))) -> (~(c0_1 (a1697))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> (c0_1 (a1667)) -> (c2_1 (a1667)) -> (~(c1_1 (a1667))) -> (c2_1 (a1682)) -> (c1_1 (a1682)) -> (~(c3_1 (a1682))) -> (~(hskp18)) -> False). % 1.07/1.24 do 0 intro. intros zenon_H2f zenon_H1c6 zenon_H218 zenon_H217 zenon_H216 zenon_H11b zenon_H79 zenon_H7a zenon_H78 zenon_H46 zenon_H45 zenon_H44 zenon_H119. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H20. zenon_intro zenon_H31. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H23. zenon_intro zenon_H32. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H24. zenon_intro zenon_H22. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1c7 ]. % 1.07/1.24 apply (zenon_L194_); trivial. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H21 | zenon_intro zenon_H1c3 ]. % 1.07/1.24 apply (zenon_L17_); trivial. % 1.07/1.24 apply (zenon_L603_); trivial. % 1.07/1.24 (* end of lemma zenon_L604_ *) % 1.07/1.24 assert (zenon_L605_ : ((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> (~(hskp3)) -> (~(hskp21)) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(hskp12)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> (~(hskp18)) -> (c2_1 (a1682)) -> (c1_1 (a1682)) -> (~(c3_1 (a1682))) -> (c0_1 (a1667)) -> (c2_1 (a1667)) -> (~(c1_1 (a1667))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> False). % 1.07/1.24 do 0 intro. intros zenon_H21f zenon_H65 zenon_H107 zenon_H105 zenon_Hb0 zenon_H26e zenon_H276 zenon_H265 zenon_H5b zenon_H5a zenon_H61 zenon_H1d zenon_H17 zenon_H11b zenon_H119 zenon_H46 zenon_H45 zenon_H44 zenon_H79 zenon_H7a zenon_H78 zenon_H1c6 zenon_H34. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H20. zenon_intro zenon_H220. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H216. zenon_intro zenon_H221. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H217. zenon_intro zenon_H218. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 1.07/1.24 apply (zenon_L15_); trivial. % 1.07/1.24 apply (zenon_L604_); trivial. % 1.07/1.24 apply (zenon_L323_); trivial. % 1.07/1.24 (* end of lemma zenon_L605_ *) % 1.07/1.24 assert (zenon_L606_ : ((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c3_1 (a1640)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (~(c0_1 (a1680))) -> (~(c2_1 (a1680))) -> (c1_1 (a1680)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> False). % 1.07/1.24 do 0 intro. intros zenon_Hea zenon_H222 zenon_H289 zenon_H28a zenon_H28b zenon_Heb zenon_He8 zenon_H179 zenon_H17a zenon_H211 zenon_H84 zenon_H82 zenon_H83 zenon_H13e zenon_H13d zenon_H13c zenon_H1ad zenon_H1af zenon_H1b0 zenon_H1ab zenon_H11e zenon_H11f zenon_H120 zenon_H299. % 1.07/1.24 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H20. zenon_intro zenon_Hec. % 1.07/1.24 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He0. zenon_intro zenon_Hed. % 1.07/1.24 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_He1. zenon_intro zenon_Hdf. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 1.07/1.24 apply (zenon_L355_); trivial. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 1.07/1.24 apply (zenon_L596_); trivial. % 1.07/1.24 apply (zenon_L68_); trivial. % 1.07/1.24 apply (zenon_L375_); trivial. % 1.07/1.24 (* end of lemma zenon_L606_ *) % 1.07/1.24 assert (zenon_L607_ : ((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c0_1 (a1675))) -> (~(c1_1 (a1675))) -> (c2_1 (a1675)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c3_1 (a1640)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> False). % 1.07/1.24 do 0 intro. intros zenon_H131 zenon_Hf2 zenon_Heb zenon_He8 zenon_H179 zenon_H17a zenon_H1ad zenon_H1af zenon_H1b0 zenon_H1ab zenon_H222 zenon_Hcf zenon_H299 zenon_H98 zenon_H99 zenon_H9a zenon_H211 zenon_H84 zenon_H82 zenon_H83 zenon_H13e zenon_H13d zenon_H13c zenon_Hb2 zenon_Hca zenon_H28b zenon_H28a zenon_H289 zenon_H95 zenon_Hd0 zenon_Hce. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H20. zenon_intro zenon_H133. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H120. zenon_intro zenon_H134. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 1.07/1.24 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 1.07/1.24 apply (zenon_L439_); trivial. % 1.07/1.24 apply (zenon_L606_); trivial. % 1.07/1.24 (* end of lemma zenon_L607_ *) % 1.07/1.24 assert (zenon_L608_ : ((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c3_1 (a1640)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (~(hskp15)) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> False). % 1.07/1.24 do 0 intro. intros zenon_Hea zenon_H222 zenon_H289 zenon_H28a zenon_H28b zenon_Heb zenon_He8 zenon_H179 zenon_H17a zenon_H211 zenon_H84 zenon_H82 zenon_H83 zenon_H13e zenon_H13d zenon_H13c zenon_H1ad zenon_H1af zenon_H1b0 zenon_H1ab zenon_H27b zenon_H11 zenon_H12a zenon_H129 zenon_H128 zenon_H276 zenon_H26e zenon_H26c zenon_H299. % 1.07/1.24 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H20. zenon_intro zenon_Hec. % 1.07/1.24 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He0. zenon_intro zenon_Hed. % 1.07/1.24 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_He1. zenon_intro zenon_Hdf. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 1.07/1.24 apply (zenon_L355_); trivial. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 1.07/1.24 apply (zenon_L596_); trivial. % 1.07/1.24 apply (zenon_L312_); trivial. % 1.07/1.24 apply (zenon_L534_); trivial. % 1.07/1.24 (* end of lemma zenon_L608_ *) % 1.07/1.24 assert (zenon_L609_ : ((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> (~(hskp15)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> False). % 1.07/1.24 do 0 intro. intros zenon_Hf5 zenon_Hf1 zenon_Hf2 zenon_Heb zenon_He8 zenon_H179 zenon_H17a zenon_H1ad zenon_H1af zenon_H1b0 zenon_H1ab zenon_H222 zenon_Hcf zenon_H299 zenon_H26c zenon_H26e zenon_H276 zenon_H128 zenon_H129 zenon_H12a zenon_H11 zenon_H27b zenon_H211 zenon_H13e zenon_H13d zenon_H13c zenon_Hb2 zenon_Hca zenon_H28b zenon_H28a zenon_H289 zenon_H95 zenon_Hd0 zenon_Hce zenon_H82 zenon_H83 zenon_H84 zenon_H8d. % 1.07/1.24 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_H20. zenon_intro zenon_Hf6. % 1.07/1.24 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H79. zenon_intro zenon_Hf7. % 1.07/1.24 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H7a. zenon_intro zenon_H78. % 1.07/1.24 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 1.07/1.24 apply (zenon_L38_); trivial. % 1.07/1.24 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_H20. zenon_intro zenon_Hf9. % 1.07/1.24 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H9a. zenon_intro zenon_Hfa. % 1.07/1.24 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_H98. zenon_intro zenon_H99. % 1.07/1.24 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 1.07/1.24 apply (zenon_L558_); trivial. % 1.07/1.24 apply (zenon_L608_); trivial. % 1.07/1.24 (* end of lemma zenon_L609_ *) % 1.07/1.24 assert (zenon_L610_ : ((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (c3_1 (a1640)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c1_1 (a1643)) -> (~(c2_1 (a1643))) -> (~(c3_1 (a1643))) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> False). % 1.07/1.24 do 0 intro. intros zenon_H15d zenon_H118 zenon_H222 zenon_H289 zenon_H28a zenon_H28b zenon_H75 zenon_H1 zenon_H13c zenon_H13d zenon_H13e zenon_H83 zenon_H82 zenon_H84 zenon_H211 zenon_H27b zenon_H276 zenon_H26e zenon_H26c zenon_H299 zenon_H8d zenon_Hce zenon_Hd0 zenon_H95 zenon_Hca zenon_Hb2 zenon_Hcf zenon_H1ab zenon_H1b0 zenon_H1af zenon_H1ad zenon_H17a zenon_H179 zenon_He8 zenon_Heb zenon_Hf2 zenon_Hf1 zenon_Hf0. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 1.07/1.24 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 1.07/1.24 apply (zenon_L554_); trivial. % 1.07/1.24 apply (zenon_L609_); trivial. % 1.07/1.24 apply (zenon_L136_); trivial. % 1.07/1.24 (* end of lemma zenon_L610_ *) % 1.07/1.24 assert (zenon_L611_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp11))) -> (~(hskp11)) -> (~(hskp7)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> (~(c0_1 (a1637))) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> (~(c0_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c3_1 (a1644))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658))))))) -> False). % 1.07/1.24 do 0 intro. intros zenon_H15a zenon_H280 zenon_H118 zenon_Hf0 zenon_Hf1 zenon_H1c6 zenon_H1ab zenon_Hca zenon_H82 zenon_H83 zenon_H84 zenon_H8d zenon_H1 zenon_H75 zenon_H68 zenon_H11b zenon_H5b zenon_H265 zenon_H276 zenon_H26e zenon_H105 zenon_H107 zenon_Hce zenon_H61 zenon_H172 zenon_H2d zenon_H9 zenon_H95 zenon_Hb2 zenon_H170 zenon_Hcf zenon_Hd0 zenon_H34 zenon_H30 zenon_H1d zenon_H5a zenon_H17b zenon_H17a zenon_H179 zenon_He8 zenon_Heb zenon_H65 zenon_Hf2 zenon_H289 zenon_H28a zenon_H28b zenon_H132 zenon_H26c zenon_H1ad zenon_H1af zenon_H1b0 zenon_H27b zenon_H299 zenon_H136 zenon_Hd5 zenon_Hd6 zenon_Hd7 zenon_H112 zenon_H117. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H2b | zenon_intro zenon_H114 ]. % 1.07/1.24 apply (zenon_L593_); trivial. % 1.07/1.24 apply (zenon_L62_); trivial. % 1.07/1.24 apply (zenon_L315_); trivial. % 1.07/1.24 (* end of lemma zenon_L611_ *) % 1.07/1.24 assert (zenon_L612_ : ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> (c3_1 (a1712)) -> (c2_1 (a1712)) -> (c0_1 (a1712)) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))) -> (~(hskp18)) -> False). % 1.07/1.24 do 0 intro. intros zenon_H11b zenon_Ha4 zenon_Ha3 zenon_Ha1 zenon_H56 zenon_H13e zenon_H13d zenon_H13c zenon_H20 zenon_H11d zenon_H119. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H11c ]. % 1.07/1.24 apply (zenon_L44_); trivial. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H43 | zenon_intro zenon_H11a ]. % 1.07/1.24 apply (zenon_L361_); trivial. % 1.07/1.24 exact (zenon_H119 zenon_H11a). % 1.07/1.24 (* end of lemma zenon_L612_ *) % 1.07/1.24 assert (zenon_L613_ : ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (~(hskp18)) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (c0_1 (a1712)) -> (c2_1 (a1712)) -> (c3_1 (a1712)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> (ndr1_0) -> (c0_1 (a1640)) -> (forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))) -> (~(c2_1 (a1640))) -> (c3_1 (a1640)) -> False). % 1.07/1.24 do 0 intro. intros zenon_H1ed zenon_Hde zenon_H119 zenon_H11d zenon_H13c zenon_H13d zenon_H13e zenon_Ha1 zenon_Ha3 zenon_Ha4 zenon_H11b zenon_H20 zenon_H83 zenon_H69 zenon_H82 zenon_H84. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1ee ]. % 1.07/1.24 apply (zenon_L140_); trivial. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H56 | zenon_intro zenon_H1e9 ]. % 1.07/1.24 apply (zenon_L612_); trivial. % 1.07/1.24 apply (zenon_L187_); trivial. % 1.07/1.24 (* end of lemma zenon_L613_ *) % 1.07/1.24 assert (zenon_L614_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(hskp21)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(hskp20)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> (~(hskp15)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> (~(c0_1 (a1675))) -> (~(c1_1 (a1675))) -> (c2_1 (a1675)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (~(hskp18)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> False). % 1.07/1.24 do 0 intro. intros zenon_Hd0 zenon_Hcf zenon_H170 zenon_H13 zenon_Hb0 zenon_Hb2 zenon_H91 zenon_H95 zenon_H289 zenon_H28a zenon_H28b zenon_Heb zenon_He8 zenon_H1ab zenon_H1ed zenon_H84 zenon_H83 zenon_H82 zenon_H1ad zenon_H1af zenon_H1b0 zenon_H11 zenon_H27b zenon_H17b zenon_H17a zenon_H179 zenon_Hca zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_H98 zenon_H99 zenon_H9a zenon_H13c zenon_H13d zenon_H13e zenon_H119 zenon_H11b zenon_H299 zenon_H61. % 1.07/1.24 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H8f | zenon_intro zenon_Hbd ]. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.07/1.24 apply (zenon_L89_); trivial. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 1.07/1.24 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H93 | zenon_intro zenon_Hd1 ]. % 1.07/1.24 apply (zenon_L42_); trivial. % 1.07/1.24 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H20. zenon_intro zenon_Hd2. % 1.07/1.24 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Ha1. zenon_intro zenon_Hd3. % 1.07/1.24 apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_Ha3. zenon_intro zenon_Ha4. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 1.07/1.24 apply (zenon_L355_); trivial. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 1.07/1.24 apply (zenon_L491_); trivial. % 1.07/1.24 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hee ]. % 1.07/1.24 apply (zenon_L52_); trivial. % 1.07/1.24 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_Hde | zenon_intro zenon_He9 ]. % 1.07/1.24 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H97 | zenon_intro zenon_Hcd ]. % 1.07/1.24 apply (zenon_L43_); trivial. % 1.07/1.24 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H69 | zenon_intro zenon_Ha2 ]. % 1.07/1.24 apply (zenon_L613_); trivial. % 1.07/1.24 apply (zenon_L46_); trivial. % 1.07/1.24 exact (zenon_He8 zenon_He9). % 1.07/1.24 apply (zenon_L48_); trivial. % 1.07/1.24 (* end of lemma zenon_L614_ *) % 1.07/1.24 assert (zenon_L615_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c3_1 (a1697))) -> (~(c2_1 (a1697))) -> (~(c0_1 (a1697))) -> (c2_1 (a1709)) -> (c1_1 (a1709)) -> (~(c0_1 (a1709))) -> (ndr1_0) -> (forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))) -> (~(c1_1 (a1667))) -> (c2_1 (a1667)) -> (c0_1 (a1667)) -> False). % 1.07/1.24 do 0 intro. intros zenon_H1c6 zenon_H218 zenon_H217 zenon_H216 zenon_H24 zenon_H23 zenon_H22 zenon_H20 zenon_Ha2 zenon_H78 zenon_H7a zenon_H79. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1c7 ]. % 1.07/1.24 apply (zenon_L194_); trivial. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H21 | zenon_intro zenon_H1c3 ]. % 1.07/1.24 apply (zenon_L17_); trivial. % 1.07/1.24 apply (zenon_L132_); trivial. % 1.07/1.24 (* end of lemma zenon_L615_ *) % 1.07/1.24 assert (zenon_L616_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c0_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c3_1 (a1644))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(c0_1 (a1709))) -> (c1_1 (a1709)) -> (c2_1 (a1709)) -> (~(c1_1 (a1667))) -> (c2_1 (a1667)) -> (c0_1 (a1667)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> (~(hskp18)) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c2_1 (a1675)) -> (~(c1_1 (a1675))) -> (~(c0_1 (a1675))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(c3_1 (a1697))) -> (~(c2_1 (a1697))) -> (~(c0_1 (a1697))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (~(hskp27)) -> (~(hskp20)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> False). % 1.07/1.24 do 0 intro. intros zenon_Hcf zenon_H299 zenon_Hd5 zenon_Hd6 zenon_Hd7 zenon_Hca zenon_H22 zenon_H23 zenon_H24 zenon_H78 zenon_H7a zenon_H79 zenon_H1c6 zenon_H82 zenon_H83 zenon_H84 zenon_H11b zenon_H119 zenon_H13e zenon_H13d zenon_H13c zenon_H1ed zenon_H9a zenon_H99 zenon_H98 zenon_He8 zenon_Heb zenon_H218 zenon_H217 zenon_H216 zenon_H28b zenon_H28a zenon_H289 zenon_H8f zenon_H91 zenon_H95. % 1.07/1.24 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H93 | zenon_intro zenon_Hd1 ]. % 1.07/1.24 apply (zenon_L42_); trivial. % 1.07/1.24 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H20. zenon_intro zenon_Hd2. % 1.07/1.24 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Ha1. zenon_intro zenon_Hd3. % 1.07/1.24 apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_Ha3. zenon_intro zenon_Ha4. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 1.07/1.24 apply (zenon_L355_); trivial. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 1.07/1.24 apply (zenon_L194_); trivial. % 1.07/1.24 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hee ]. % 1.07/1.24 apply (zenon_L52_); trivial. % 1.07/1.24 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_Hde | zenon_intro zenon_He9 ]. % 1.07/1.24 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H97 | zenon_intro zenon_Hcd ]. % 1.07/1.24 apply (zenon_L43_); trivial. % 1.07/1.24 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H69 | zenon_intro zenon_Ha2 ]. % 1.07/1.24 apply (zenon_L613_); trivial. % 1.07/1.24 apply (zenon_L615_); trivial. % 1.07/1.24 exact (zenon_He8 zenon_He9). % 1.07/1.24 (* end of lemma zenon_L616_ *) % 1.07/1.24 assert (zenon_L617_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> (c3_1 (a1691)) -> (c2_1 (a1691)) -> (~(c1_1 (a1691))) -> (ndr1_0) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (c3_1 (a1640)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c2_1 (a1646)) -> (c3_1 (a1646)) -> (c1_1 (a1646)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c1_1 (a1643)) -> (~(c2_1 (a1643))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (~(c3_1 (a1643))) -> (~(hskp15)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(hskp4)) -> False). % 1.07/1.24 do 0 intro. intros zenon_Heb zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_Hc2 zenon_Hc1 zenon_Hc0 zenon_H20 zenon_H27b zenon_H84 zenon_H82 zenon_H83 zenon_H4f zenon_H5e zenon_H4e zenon_H1ed zenon_H1b0 zenon_H1af zenon_H1ae zenon_H1ad zenon_H11 zenon_H1ab zenon_H17b zenon_H17a zenon_H179 zenon_Hca zenon_He8. % 1.07/1.24 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hee ]. % 1.07/1.24 apply (zenon_L52_); trivial. % 1.07/1.24 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_Hde | zenon_intro zenon_He9 ]. % 1.07/1.24 apply (zenon_L487_); trivial. % 1.07/1.24 exact (zenon_He8 zenon_He9). % 1.07/1.24 (* end of lemma zenon_L617_ *) % 1.07/1.24 assert (zenon_L618_ : ((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c0_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c3_1 (a1644))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (c3_1 (a1691)) -> (c2_1 (a1691)) -> (~(c1_1 (a1691))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (~(hskp15)) -> (c1_1 (a1643)) -> (~(c2_1 (a1643))) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> False). % 1.07/1.24 do 0 intro. intros zenon_H60 zenon_H61 zenon_H299 zenon_H5b zenon_H13e zenon_H13d zenon_H13c zenon_H5a zenon_Hd5 zenon_Hd6 zenon_Hd7 zenon_Hca zenon_Hc2 zenon_Hc1 zenon_Hc0 zenon_H179 zenon_H17a zenon_H17b zenon_H27b zenon_H11 zenon_H1b0 zenon_H1af zenon_H1ad zenon_H82 zenon_H83 zenon_H84 zenon_H1ed zenon_H1ab zenon_He8 zenon_Heb zenon_H28b zenon_H28a zenon_H289 zenon_H1 zenon_H41. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H20. zenon_intro zenon_H62. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H38. zenon_intro zenon_H63. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H36. zenon_intro zenon_H37. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.07/1.24 apply (zenon_L24_); trivial. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 1.07/1.24 apply (zenon_L355_); trivial. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 1.07/1.24 apply (zenon_L617_); trivial. % 1.07/1.24 apply (zenon_L414_); trivial. % 1.07/1.24 (* end of lemma zenon_L618_ *) % 1.07/1.24 assert (zenon_L619_ : ((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(hskp21)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(hskp20)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> (~(hskp15)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(hskp12)) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> False). % 1.07/1.24 do 0 intro. intros zenon_H21f zenon_H65 zenon_Hd0 zenon_Hcf zenon_H170 zenon_H13 zenon_Hb0 zenon_Hb2 zenon_H91 zenon_H95 zenon_H289 zenon_H28a zenon_H28b zenon_Heb zenon_He8 zenon_H1ab zenon_H1ed zenon_H84 zenon_H83 zenon_H82 zenon_H1ad zenon_H1af zenon_H1b0 zenon_H11 zenon_H27b zenon_Hca zenon_H179 zenon_H17a zenon_H17b zenon_H5a zenon_H13c zenon_H13d zenon_H13e zenon_H5b zenon_H299 zenon_H61 zenon_H1d zenon_H17 zenon_H1a4 zenon_H191 zenon_H192 zenon_H1c6 zenon_H34. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H20. zenon_intro zenon_H220. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H216. zenon_intro zenon_H221. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H217. zenon_intro zenon_H218. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.07/1.24 apply (zenon_L196_); trivial. % 1.07/1.24 apply (zenon_L478_); trivial. % 1.07/1.24 (* end of lemma zenon_L619_ *) % 1.07/1.24 assert (zenon_L620_ : ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c3_1 (a1640)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(hskp16)) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> (~(hskp12)) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (~(hskp15)) -> (c1_1 (a1643)) -> (~(c2_1 (a1643))) -> (~(c3_1 (a1643))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(hskp20)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(hskp21)) -> (~(hskp19)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> False). % 1.07/1.24 do 0 intro. intros zenon_H222 zenon_H34 zenon_H1c6 zenon_H192 zenon_H191 zenon_H1a4 zenon_H211 zenon_H84 zenon_H82 zenon_H83 zenon_H13e zenon_H13d zenon_H13c zenon_H73 zenon_H1 zenon_H75 zenon_H17 zenon_H1d zenon_H61 zenon_H299 zenon_H5b zenon_H5a zenon_H17b zenon_H17a zenon_H179 zenon_Hca zenon_H27b zenon_H11 zenon_H1b0 zenon_H1af zenon_H1ad zenon_H1ed zenon_H1ab zenon_He8 zenon_Heb zenon_H28b zenon_H28a zenon_H289 zenon_H95 zenon_H91 zenon_Hb2 zenon_Hb0 zenon_H13 zenon_H170 zenon_Hcf zenon_Hd0 zenon_H65. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.07/1.24 apply (zenon_L193_); trivial. % 1.07/1.24 apply (zenon_L478_); trivial. % 1.07/1.24 apply (zenon_L619_); trivial. % 1.07/1.24 (* end of lemma zenon_L620_ *) % 1.07/1.24 assert (zenon_L621_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(hskp15)) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> (~(c0_1 (a1637))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (c2_1 (a1709)) -> (c1_1 (a1709)) -> (~(c0_1 (a1709))) -> (ndr1_0) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> False). % 1.07/1.24 do 0 intro. intros zenon_H1c6 zenon_H11 zenon_H1ad zenon_H1af zenon_H1b0 zenon_H26c zenon_H11d zenon_H26e zenon_H276 zenon_H27b zenon_H24 zenon_H23 zenon_H22 zenon_H20 zenon_H1a4 zenon_H191 zenon_H192. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1c7 ]. % 1.07/1.24 apply (zenon_L563_); trivial. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H21 | zenon_intro zenon_H1c3 ]. % 1.07/1.24 apply (zenon_L17_); trivial. % 1.07/1.24 apply (zenon_L191_); trivial. % 1.07/1.24 (* end of lemma zenon_L621_ *) % 1.07/1.24 assert (zenon_L622_ : ((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c0_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c3_1 (a1644))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (~(hskp15)) -> (c1_1 (a1643)) -> (~(c2_1 (a1643))) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1691))) -> (c2_1 (a1691)) -> (c3_1 (a1691)) -> (~(hskp19)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> False). % 1.07/1.24 do 0 intro. intros zenon_H2f zenon_H61 zenon_H299 zenon_H276 zenon_H26e zenon_H26c zenon_H1a4 zenon_H191 zenon_H192 zenon_H1c6 zenon_Hd5 zenon_Hd6 zenon_Hd7 zenon_Hca zenon_H179 zenon_H17a zenon_H17b zenon_H27b zenon_H11 zenon_H1b0 zenon_H1af zenon_H1ad zenon_H82 zenon_H83 zenon_H84 zenon_H1ed zenon_H1ab zenon_He8 zenon_Heb zenon_H28b zenon_H28a zenon_H289 zenon_Hc0 zenon_Hc1 zenon_Hc2 zenon_H13 zenon_H170. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H20. zenon_intro zenon_H31. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H23. zenon_intro zenon_H32. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H24. zenon_intro zenon_H22. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.07/1.24 apply (zenon_L91_); trivial. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 1.07/1.24 apply (zenon_L355_); trivial. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 1.07/1.24 apply (zenon_L617_); trivial. % 1.07/1.24 apply (zenon_L621_); trivial. % 1.07/1.24 (* end of lemma zenon_L622_ *) % 1.07/1.24 assert (zenon_L623_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c0_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c3_1 (a1644))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (~(hskp15)) -> (c1_1 (a1643)) -> (~(c2_1 (a1643))) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1691))) -> (c2_1 (a1691)) -> (c3_1 (a1691)) -> (~(hskp19)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> (~(hskp12)) -> (~(hskp24)) -> ((hskp12)\/((hskp25)\/(hskp24))) -> False). % 1.07/1.24 do 0 intro. intros zenon_H34 zenon_H61 zenon_H299 zenon_H276 zenon_H26e zenon_H26c zenon_H1a4 zenon_H191 zenon_H192 zenon_H1c6 zenon_Hd5 zenon_Hd6 zenon_Hd7 zenon_Hca zenon_H179 zenon_H17a zenon_H17b zenon_H27b zenon_H11 zenon_H1b0 zenon_H1af zenon_H1ad zenon_H82 zenon_H83 zenon_H84 zenon_H1ed zenon_H1ab zenon_He8 zenon_Heb zenon_H28b zenon_H28a zenon_H289 zenon_Hc0 zenon_Hc1 zenon_Hc2 zenon_H13 zenon_H170 zenon_H17 zenon_H1b zenon_H1d. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 1.07/1.24 apply (zenon_L15_); trivial. % 1.07/1.24 apply (zenon_L622_); trivial. % 1.07/1.24 (* end of lemma zenon_L623_ *) % 1.07/1.24 assert (zenon_L624_ : ((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(hskp12)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> (~(hskp15)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> False). % 1.07/1.24 do 0 intro. intros zenon_Hc9 zenon_H65 zenon_H5b zenon_H13e zenon_H13d zenon_H13c zenon_H5a zenon_H1 zenon_H41 zenon_H1d zenon_H17 zenon_H170 zenon_H13 zenon_H289 zenon_H28a zenon_H28b zenon_Heb zenon_He8 zenon_H1ab zenon_H1ed zenon_H84 zenon_H83 zenon_H82 zenon_H1ad zenon_H1af zenon_H1b0 zenon_H11 zenon_H27b zenon_H17b zenon_H17a zenon_H179 zenon_Hca zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_H1c6 zenon_H192 zenon_H191 zenon_H1a4 zenon_H26c zenon_H26e zenon_H276 zenon_H299 zenon_H61 zenon_H34. % 1.07/1.24 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H20. zenon_intro zenon_Hcb. % 1.07/1.24 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc1. zenon_intro zenon_Hcc. % 1.07/1.24 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc2. zenon_intro zenon_Hc0. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.07/1.24 apply (zenon_L623_); trivial. % 1.07/1.24 apply (zenon_L618_); trivial. % 1.07/1.24 (* end of lemma zenon_L624_ *) % 1.07/1.24 assert (zenon_L625_ : ((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> (~(hskp0)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(hskp20)) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> (~(hskp15)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(hskp21)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(c3_1 (a1682))) -> (c1_1 (a1682)) -> (c2_1 (a1682)) -> (~(hskp18)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(hskp12)) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> False). % 1.07/1.24 do 0 intro. intros zenon_H21f zenon_H65 zenon_Hd0 zenon_H41 zenon_H1 zenon_H95 zenon_H91 zenon_H289 zenon_H28a zenon_H28b zenon_Heb zenon_He8 zenon_H1ab zenon_H1ed zenon_H84 zenon_H83 zenon_H82 zenon_H1ad zenon_H1af zenon_H1b0 zenon_H11 zenon_H27b zenon_H17b zenon_H17a zenon_H179 zenon_Hb2 zenon_Hb0 zenon_Hca zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_H5b zenon_H44 zenon_H45 zenon_H46 zenon_H119 zenon_H11b zenon_H13e zenon_H13d zenon_H13c zenon_H299 zenon_Hcf zenon_H61 zenon_H1d zenon_H17 zenon_H1a4 zenon_H191 zenon_H192 zenon_H1c6 zenon_H34. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H20. zenon_intro zenon_H220. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H216. zenon_intro zenon_H221. % 1.07/1.24 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H217. zenon_intro zenon_H218. % 1.07/1.24 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.07/1.24 apply (zenon_L196_); trivial. % 1.07/1.24 apply (zenon_L493_); trivial. % 1.07/1.24 (* end of lemma zenon_L625_ *) % 1.07/1.24 assert (zenon_L626_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(hskp20)) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(hskp21)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (c3_1 (a1640)) -> (~(hskp22)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c2_1 (a1675)) -> (~(c1_1 (a1675))) -> (~(c0_1 (a1675))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> (~(hskp15)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> (~(hskp12)) -> (~(hskp24)) -> ((hskp12)\/((hskp25)\/(hskp24))) -> False). % 1.07/1.25 do 0 intro. intros zenon_H34 zenon_Hd0 zenon_H95 zenon_H91 zenon_H289 zenon_H28a zenon_H28b zenon_Hca zenon_Hb0 zenon_Hb2 zenon_H13c zenon_H13d zenon_H13e zenon_H83 zenon_H82 zenon_H84 zenon_H20f zenon_H211 zenon_H9a zenon_H99 zenon_H98 zenon_H1c6 zenon_H192 zenon_H191 zenon_H1a4 zenon_H26c zenon_H26e zenon_H276 zenon_H1ad zenon_H1af zenon_H1b0 zenon_H11 zenon_H27b zenon_H299 zenon_Hcf zenon_H17 zenon_H1b zenon_H1d. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 1.07/1.25 apply (zenon_L15_); trivial. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H20. zenon_intro zenon_H31. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H23. zenon_intro zenon_H32. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H24. zenon_intro zenon_H22. % 1.07/1.25 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H8f | zenon_intro zenon_Hbd ]. % 1.07/1.25 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H93 | zenon_intro zenon_Hd1 ]. % 1.07/1.25 apply (zenon_L42_); trivial. % 1.07/1.25 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H20. zenon_intro zenon_Hd2. % 1.07/1.25 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Ha1. zenon_intro zenon_Hd3. % 1.07/1.25 apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_Ha3. zenon_intro zenon_Ha4. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 1.07/1.25 apply (zenon_L355_); trivial. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 1.07/1.25 apply (zenon_L434_); trivial. % 1.07/1.25 apply (zenon_L621_); trivial. % 1.07/1.25 apply (zenon_L48_); trivial. % 1.07/1.25 (* end of lemma zenon_L626_ *) % 1.07/1.25 assert (zenon_L627_ : ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(hskp20)) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(hskp21)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (c3_1 (a1640)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c2_1 (a1675)) -> (~(c1_1 (a1675))) -> (~(c0_1 (a1675))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> (~(hskp15)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> (~(hskp12)) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp19)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> False). % 1.07/1.25 do 0 intro. intros zenon_H222 zenon_H34 zenon_Hd0 zenon_H95 zenon_H91 zenon_H289 zenon_H28a zenon_H28b zenon_Hca zenon_Hb0 zenon_Hb2 zenon_H13c zenon_H13d zenon_H13e zenon_H83 zenon_H82 zenon_H84 zenon_H211 zenon_H9a zenon_H99 zenon_H98 zenon_H1c6 zenon_H192 zenon_H191 zenon_H1a4 zenon_H26c zenon_H26e zenon_H276 zenon_H1ad zenon_H1af zenon_H1b0 zenon_H11 zenon_H27b zenon_H299 zenon_Hcf zenon_H17 zenon_H1d zenon_H61 zenon_H5b zenon_H5a zenon_H17b zenon_H17a zenon_H179 zenon_H1ed zenon_H1ab zenon_He8 zenon_Heb zenon_H13 zenon_H170 zenon_H65. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.07/1.25 apply (zenon_L626_); trivial. % 1.07/1.25 apply (zenon_L478_); trivial. % 1.07/1.25 apply (zenon_L619_); trivial. % 1.07/1.25 (* end of lemma zenon_L627_ *) % 1.07/1.25 assert (zenon_L628_ : ((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (c3_1 (a1640)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> (~(hskp15)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> (~(hskp12)) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> (~(c0_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c3_1 (a1644))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> (~(hskp0)) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> False). % 1.07/1.25 do 0 intro. intros zenon_Hf8 zenon_H136 zenon_Hf2 zenon_H222 zenon_H34 zenon_Hd0 zenon_H95 zenon_H289 zenon_H28a zenon_H28b zenon_Hca zenon_Hb2 zenon_H13c zenon_H13d zenon_H13e zenon_H83 zenon_H82 zenon_H84 zenon_H211 zenon_H1c6 zenon_H192 zenon_H191 zenon_H1a4 zenon_H26c zenon_H26e zenon_H276 zenon_H1ad zenon_H1af zenon_H1b0 zenon_H11 zenon_H27b zenon_H299 zenon_Hcf zenon_H17 zenon_H1d zenon_H61 zenon_H5b zenon_H5a zenon_H17b zenon_H17a zenon_H179 zenon_H1ed zenon_H1ab zenon_He8 zenon_Heb zenon_H170 zenon_H65 zenon_Hd5 zenon_Hd6 zenon_Hd7 zenon_H41 zenon_H1 zenon_Hce zenon_H11b zenon_H68. % 1.07/1.25 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_H20. zenon_intro zenon_Hf9. % 1.07/1.25 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H9a. zenon_intro zenon_Hfa. % 1.07/1.25 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_H98. zenon_intro zenon_H99. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H119 | zenon_intro zenon_H131 ]. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.07/1.25 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 1.07/1.25 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.07/1.25 apply (zenon_L627_); trivial. % 1.07/1.25 apply (zenon_L624_); trivial. % 1.07/1.25 apply (zenon_L55_); trivial. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H20. zenon_intro zenon_H66. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H45. zenon_intro zenon_H67. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H46. zenon_intro zenon_H44. % 1.07/1.25 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 1.07/1.25 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.07/1.25 apply (zenon_L626_); trivial. % 1.07/1.25 apply (zenon_L493_); trivial. % 1.07/1.25 apply (zenon_L625_); trivial. % 1.07/1.25 apply (zenon_L65_); trivial. % 1.07/1.25 apply (zenon_L55_); trivial. % 1.07/1.25 apply (zenon_L607_); trivial. % 1.07/1.25 (* end of lemma zenon_L628_ *) % 1.07/1.25 assert (zenon_L629_ : ((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> (~(c0_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c3_1 (a1644))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(hskp21)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (~(hskp15)) -> (c1_1 (a1643)) -> (~(c2_1 (a1643))) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (~(hskp27)) -> (~(hskp20)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> False). % 1.07/1.25 do 0 intro. intros zenon_H59 zenon_Hcf zenon_H299 zenon_H26c zenon_H26e zenon_H276 zenon_H128 zenon_H129 zenon_H12a zenon_Hd5 zenon_Hd6 zenon_Hd7 zenon_Hca zenon_Hb0 zenon_Hb2 zenon_H179 zenon_H17a zenon_H17b zenon_H27b zenon_H11 zenon_H1b0 zenon_H1af zenon_H1ad zenon_H82 zenon_H83 zenon_H84 zenon_H1ed zenon_H1ab zenon_He8 zenon_Heb zenon_H28b zenon_H28a zenon_H289 zenon_H8f zenon_H91 zenon_H95. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 1.07/1.25 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H93 | zenon_intro zenon_Hd1 ]. % 1.07/1.25 apply (zenon_L42_); trivial. % 1.07/1.25 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H20. zenon_intro zenon_Hd2. % 1.07/1.25 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Ha1. zenon_intro zenon_Hd3. % 1.07/1.25 apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_Ha3. zenon_intro zenon_Ha4. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 1.07/1.25 apply (zenon_L355_); trivial. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 1.07/1.25 apply (zenon_L491_); trivial. % 1.07/1.25 apply (zenon_L312_); trivial. % 1.07/1.25 (* end of lemma zenon_L629_ *) % 1.07/1.25 assert (zenon_L630_ : ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> (~(hskp3)) -> (~(hskp21)) -> (ndr1_0) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(hskp20)) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> (~(hskp15)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> (~(c0_1 (a1637))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> (~(hskp0)) -> (~(hskp16)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> False). % 1.07/1.25 do 0 intro. intros zenon_H222 zenon_Hd0 zenon_H107 zenon_H105 zenon_Hb0 zenon_H20 zenon_H26e zenon_H276 zenon_H265 zenon_H95 zenon_H91 zenon_H289 zenon_H28a zenon_H28b zenon_Heb zenon_He8 zenon_H1ab zenon_H1ed zenon_H84 zenon_H83 zenon_H82 zenon_H1ad zenon_H1af zenon_H1b0 zenon_H11 zenon_H27b zenon_H17b zenon_H17a zenon_H179 zenon_Hb2 zenon_Hca zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_H12a zenon_H129 zenon_H128 zenon_H26c zenon_H299 zenon_Hcf zenon_H61 zenon_H75 zenon_H1 zenon_H73 zenon_H13c zenon_H13d zenon_H13e zenon_H211 zenon_H1a4 zenon_H191 zenon_H192 zenon_H1c6 zenon_H34. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 1.07/1.25 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H8f | zenon_intro zenon_Hbd ]. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.07/1.25 apply (zenon_L321_); trivial. % 1.07/1.25 apply (zenon_L629_); trivial. % 1.07/1.25 apply (zenon_L48_); trivial. % 1.07/1.25 apply (zenon_L192_); trivial. % 1.07/1.25 apply (zenon_L534_); trivial. % 1.07/1.25 (* end of lemma zenon_L630_ *) % 1.07/1.25 assert (zenon_L631_ : ((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (~(hskp4)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (c3_1 (a1640)) -> (~(c1_1 (a1691))) -> (c2_1 (a1691)) -> (c3_1 (a1691)) -> (~(c0_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c3_1 (a1644))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> (~(hskp15)) -> False). % 1.07/1.25 do 0 intro. intros zenon_H59 zenon_H299 zenon_H28b zenon_H28a zenon_H289 zenon_He8 zenon_Hca zenon_H179 zenon_H17a zenon_H17b zenon_H1ab zenon_H1ad zenon_H1af zenon_H1b0 zenon_H1ed zenon_H83 zenon_H82 zenon_H84 zenon_Hc0 zenon_Hc1 zenon_Hc2 zenon_Hd5 zenon_Hd6 zenon_Hd7 zenon_Heb zenon_H27b zenon_H276 zenon_H26e zenon_H26c zenon_H12a zenon_H129 zenon_H128 zenon_H11. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 1.07/1.25 apply (zenon_L355_); trivial. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 1.07/1.25 apply (zenon_L617_); trivial. % 1.07/1.25 apply (zenon_L312_); trivial. % 1.07/1.25 (* end of lemma zenon_L631_ *) % 1.07/1.25 assert (zenon_L632_ : ((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> (~(hskp3)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> (~(hskp0)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (c3_1 (a1640)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> False). % 1.07/1.25 do 0 intro. intros zenon_H155 zenon_H15a zenon_H107 zenon_H105 zenon_H265 zenon_Hf0 zenon_Hf1 zenon_H8d zenon_H68 zenon_H11b zenon_Hce zenon_H41 zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_H26c zenon_H26e zenon_H276 zenon_H65 zenon_Hd0 zenon_Hcf zenon_H170 zenon_Hb2 zenon_H95 zenon_H289 zenon_H28a zenon_H28b zenon_Heb zenon_He8 zenon_H1ab zenon_H1ed zenon_H1ad zenon_H1af zenon_H1b0 zenon_H27b zenon_Hca zenon_H179 zenon_H17a zenon_H17b zenon_H5a zenon_H5b zenon_H299 zenon_H61 zenon_H1d zenon_H75 zenon_H1 zenon_H83 zenon_H82 zenon_H84 zenon_H211 zenon_H1a4 zenon_H191 zenon_H192 zenon_H1c6 zenon_H34 zenon_H222 zenon_Hf2 zenon_H136 zenon_H118. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 1.07/1.25 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H119 | zenon_intro zenon_H131 ]. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.07/1.25 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 1.07/1.25 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.07/1.25 apply (zenon_L620_); trivial. % 1.07/1.25 apply (zenon_L624_); trivial. % 1.07/1.25 apply (zenon_L55_); trivial. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H20. zenon_intro zenon_H66. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H45. zenon_intro zenon_H67. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H46. zenon_intro zenon_H44. % 1.07/1.25 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 1.07/1.25 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.07/1.25 apply (zenon_L193_); trivial. % 1.07/1.25 apply (zenon_L493_); trivial. % 1.07/1.25 apply (zenon_L625_); trivial. % 1.07/1.25 apply (zenon_L65_); trivial. % 1.07/1.25 apply (zenon_L55_); trivial. % 1.07/1.25 apply (zenon_L428_); trivial. % 1.07/1.25 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_H20. zenon_intro zenon_Hf6. % 1.07/1.25 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H79. zenon_intro zenon_Hf7. % 1.07/1.25 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H7a. zenon_intro zenon_H78. % 1.07/1.25 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 1.07/1.25 apply (zenon_L38_); trivial. % 1.07/1.25 apply (zenon_L628_); trivial. % 1.07/1.25 apply (zenon_L56_); trivial. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 1.07/1.25 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H119 | zenon_intro zenon_H131 ]. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.07/1.25 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 1.07/1.25 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.07/1.25 apply (zenon_L630_); trivial. % 1.07/1.25 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H20. zenon_intro zenon_Hcb. % 1.07/1.25 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc1. zenon_intro zenon_Hcc. % 1.07/1.25 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc2. zenon_intro zenon_Hc0. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.07/1.25 apply (zenon_L91_); trivial. % 1.07/1.25 apply (zenon_L631_); trivial. % 1.07/1.25 apply (zenon_L55_); trivial. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H20. zenon_intro zenon_H66. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H45. zenon_intro zenon_H67. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H46. zenon_intro zenon_H44. % 1.07/1.25 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 1.07/1.25 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.07/1.25 apply (zenon_L630_); trivial. % 1.07/1.25 apply (zenon_L65_); trivial. % 1.07/1.25 apply (zenon_L55_); trivial. % 1.07/1.25 apply (zenon_L428_); trivial. % 1.07/1.25 apply (zenon_L560_); trivial. % 1.07/1.25 apply (zenon_L136_); trivial. % 1.07/1.25 (* end of lemma zenon_L632_ *) % 1.07/1.25 assert (zenon_L633_ : ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp3))) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> (ndr1_0) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (c3_1 (a1640)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (~(hskp22)) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2))))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (~(hskp3)) -> False). % 1.07/1.25 do 0 intro. intros zenon_H150 zenon_H161 zenon_H163 zenon_H162 zenon_H20 zenon_H211 zenon_H13e zenon_H13d zenon_H13c zenon_H1ae zenon_H84 zenon_H82 zenon_H83 zenon_H20f zenon_Hd4 zenon_H179 zenon_H17a zenon_H1ab zenon_H105. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H13b | zenon_intro zenon_H153 ]. % 1.07/1.25 apply (zenon_L128_); trivial. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_H145 | zenon_intro zenon_H106 ]. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H13b | zenon_intro zenon_H1ac ]. % 1.07/1.25 apply (zenon_L128_); trivial. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H69 | zenon_intro zenon_H127 ]. % 1.07/1.25 apply (zenon_L189_); trivial. % 1.07/1.25 apply (zenon_L148_); trivial. % 1.07/1.25 exact (zenon_H105 zenon_H106). % 1.07/1.25 (* end of lemma zenon_L633_ *) % 1.07/1.25 assert (zenon_L634_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (~(hskp4)) -> (~(c2_1 (a1689))) -> (c0_1 (a1689)) -> (c1_1 (a1689)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c3_1 (a1640)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (~(hskp22)) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp3))) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> (ndr1_0) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (~(hskp15)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (~(hskp3)) -> False). % 1.07/1.25 do 0 intro. intros zenon_H299 zenon_H28b zenon_H28a zenon_H289 zenon_He8 zenon_Hdf zenon_He0 zenon_He1 zenon_H211 zenon_H84 zenon_H82 zenon_H83 zenon_H20f zenon_H179 zenon_H17a zenon_Heb zenon_H150 zenon_H161 zenon_H163 zenon_H162 zenon_H20 zenon_H27b zenon_H276 zenon_H26e zenon_H26c zenon_H11 zenon_H13c zenon_H13d zenon_H13e zenon_H1ab zenon_H105. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 1.07/1.25 apply (zenon_L355_); trivial. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 1.07/1.25 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hee ]. % 1.07/1.25 apply (zenon_L633_); trivial. % 1.07/1.25 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_Hde | zenon_intro zenon_He9 ]. % 1.07/1.25 apply (zenon_L53_); trivial. % 1.07/1.25 exact (zenon_He8 zenon_He9). % 1.07/1.25 apply (zenon_L570_); trivial. % 1.07/1.25 (* end of lemma zenon_L634_ *) % 1.07/1.25 assert (zenon_L635_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (~(hskp11)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> ((hskp12)\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> (~(hskp0)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> False). % 1.07/1.25 do 0 intro. intros zenon_H15a zenon_H118 zenon_H280 zenon_H27b zenon_H276 zenon_H26e zenon_H26c zenon_H2d zenon_H132 zenon_H2a0 zenon_H3 zenon_H41 zenon_H1 zenon_H1ed zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H5a zenon_H61 zenon_H65. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.07/1.25 apply (zenon_L495_); trivial. % 1.07/1.25 apply (zenon_L315_); trivial. % 1.07/1.25 (* end of lemma zenon_L635_ *) % 1.07/1.25 assert (zenon_L636_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> (~(hskp3)) -> (~(hskp21)) -> (ndr1_0) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (c2_1 (a1682)) -> (c1_1 (a1682)) -> (~(c3_1 (a1682))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> False). % 1.07/1.25 do 0 intro. intros zenon_H34 zenon_H107 zenon_H105 zenon_Hb0 zenon_H20 zenon_H26e zenon_H276 zenon_H265 zenon_H1ab zenon_H12a zenon_H129 zenon_H128 zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H13e zenon_H13d zenon_H13c zenon_H5b zenon_H46 zenon_H45 zenon_H44 zenon_H5a zenon_H61. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.07/1.25 apply (zenon_L321_); trivial. % 1.07/1.25 apply (zenon_L202_); trivial. % 1.07/1.25 apply (zenon_L523_); trivial. % 1.07/1.25 (* end of lemma zenon_L636_ *) % 1.07/1.25 assert (zenon_L637_ : ((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp5))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> False). % 1.07/1.25 do 0 intro. intros zenon_H64 zenon_Hce zenon_H242 zenon_H2a9 zenon_H1ed zenon_H3 zenon_H294 zenon_H1 zenon_H41 zenon_H61 zenon_H5a zenon_H5b zenon_H13c zenon_H13d zenon_H13e zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H128 zenon_H129 zenon_H12a zenon_H1ab zenon_H265 zenon_H276 zenon_H26e zenon_H105 zenon_H107 zenon_H34. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H20. zenon_intro zenon_H66. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H45. zenon_intro zenon_H67. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H46. zenon_intro zenon_H44. % 1.07/1.25 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.07/1.25 apply (zenon_L636_); trivial. % 1.07/1.25 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H20. zenon_intro zenon_Hcb. % 1.07/1.25 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc1. zenon_intro zenon_Hcc. % 1.07/1.25 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc2. zenon_intro zenon_Hc0. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.07/1.25 apply (zenon_L201_); trivial. % 1.07/1.25 apply (zenon_L503_); trivial. % 1.07/1.25 (* end of lemma zenon_L637_ *) % 1.07/1.25 assert (zenon_L638_ : ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))) -> (ndr1_0) -> (~(hskp0)) -> (~(hskp28)) -> False). % 1.07/1.25 do 0 intro. intros zenon_H41 zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H69 zenon_H20 zenon_H1 zenon_H3f. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H35 | zenon_intro zenon_H42 ]. % 1.07/1.25 apply (zenon_L168_); trivial. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2 | zenon_intro zenon_H40 ]. % 1.07/1.25 exact (zenon_H1 zenon_H2). % 1.07/1.25 exact (zenon_H3f zenon_H40). % 1.07/1.25 (* end of lemma zenon_L638_ *) % 1.07/1.25 assert (zenon_L639_ : ((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> (~(hskp15)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> False). % 1.07/1.25 do 0 intro. intros zenon_Hc9 zenon_H222 zenon_Hca zenon_H1ab zenon_H12a zenon_H129 zenon_H128 zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H17b zenon_H17a zenon_H179 zenon_H1 zenon_H41 zenon_H299 zenon_H26c zenon_H26e zenon_H276 zenon_H11 zenon_H27b zenon_H211 zenon_H13e zenon_H13d zenon_H13c zenon_H3 zenon_H294 zenon_H28b zenon_H28a zenon_H289 zenon_H242 zenon_H61. % 1.07/1.25 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H20. zenon_intro zenon_Hcb. % 1.07/1.25 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc1. zenon_intro zenon_Hcc. % 1.07/1.25 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc2. zenon_intro zenon_Hc0. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.07/1.25 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H97 | zenon_intro zenon_Hcd ]. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H35 | zenon_intro zenon_H42 ]. % 1.07/1.25 apply (zenon_L515_); trivial. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2 | zenon_intro zenon_H40 ]. % 1.07/1.25 exact (zenon_H1 zenon_H2). % 1.07/1.25 exact (zenon_H3f zenon_H40). % 1.07/1.25 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H69 | zenon_intro zenon_Ha2 ]. % 1.07/1.25 apply (zenon_L638_); trivial. % 1.07/1.25 apply (zenon_L49_); trivial. % 1.07/1.25 apply (zenon_L529_); trivial. % 1.07/1.25 apply (zenon_L534_); trivial. % 1.07/1.25 (* end of lemma zenon_L639_ *) % 1.07/1.25 assert (zenon_L640_ : ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (c1_1 (a1646)) -> (c3_1 (a1646)) -> (c2_1 (a1646)) -> (forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28)))))) -> (ndr1_0) -> (c0_1 (a1640)) -> (forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))) -> (~(c2_1 (a1640))) -> (c3_1 (a1640)) -> False). % 1.07/1.25 do 0 intro. intros zenon_H1ed zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H4e zenon_H5e zenon_H4f zenon_H275 zenon_H20 zenon_H83 zenon_H69 zenon_H82 zenon_H84. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1ee ]. % 1.07/1.25 apply (zenon_L158_); trivial. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H56 | zenon_intro zenon_H1e9 ]. % 1.07/1.25 apply (zenon_L463_); trivial. % 1.07/1.25 apply (zenon_L187_); trivial. % 1.07/1.25 (* end of lemma zenon_L640_ *) % 1.07/1.25 assert (zenon_L641_ : ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (c3_1 (a1640)) -> (~(c2_1 (a1640))) -> (forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))) -> (c0_1 (a1640)) -> (c2_1 (a1646)) -> (c3_1 (a1646)) -> (c1_1 (a1646)) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> (ndr1_0) -> (~(hskp15)) -> False). % 1.07/1.25 do 0 intro. intros zenon_H27b zenon_H84 zenon_H82 zenon_H69 zenon_H83 zenon_H4f zenon_H5e zenon_H4e zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1ed zenon_H12a zenon_H129 zenon_H128 zenon_H20 zenon_H11. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H275 | zenon_intro zenon_H27c ]. % 1.07/1.25 apply (zenon_L640_); trivial. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_H127 | zenon_intro zenon_H12 ]. % 1.07/1.25 apply (zenon_L69_); trivial. % 1.07/1.25 exact (zenon_H11 zenon_H12). % 1.07/1.25 (* end of lemma zenon_L641_ *) % 1.07/1.25 assert (zenon_L642_ : ((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(hskp15)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (c3_1 (a1640)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> False). % 1.07/1.25 do 0 intro. intros zenon_H59 zenon_H1ab zenon_H13e zenon_H13d zenon_H13c zenon_H11 zenon_H1ed zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H83 zenon_H82 zenon_H84 zenon_H27b zenon_H128 zenon_H129 zenon_H12a. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H13b | zenon_intro zenon_H1ac ]. % 1.07/1.25 apply (zenon_L74_); trivial. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H69 | zenon_intro zenon_H127 ]. % 1.07/1.25 apply (zenon_L641_); trivial. % 1.07/1.25 apply (zenon_L69_); trivial. % 1.07/1.25 (* end of lemma zenon_L642_ *) % 1.07/1.25 assert (zenon_L643_ : ((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1640)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> (~(hskp15)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(hskp19)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> False). % 1.07/1.25 do 0 intro. intros zenon_Hc9 zenon_H61 zenon_H1ab zenon_H1ed zenon_H84 zenon_H82 zenon_H83 zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H128 zenon_H129 zenon_H12a zenon_H11 zenon_H27b zenon_H13e zenon_H13d zenon_H13c zenon_H13 zenon_H170. % 1.07/1.25 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H20. zenon_intro zenon_Hcb. % 1.07/1.25 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc1. zenon_intro zenon_Hcc. % 1.07/1.25 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc2. zenon_intro zenon_Hc0. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.07/1.25 apply (zenon_L91_); trivial. % 1.07/1.25 apply (zenon_L642_); trivial. % 1.07/1.25 (* end of lemma zenon_L643_ *) % 1.07/1.25 assert (zenon_L644_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> (~(hskp19)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1640)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> (~(hskp15)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (ndr1_0) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> False). % 1.07/1.25 do 0 intro. intros zenon_Hce zenon_H13 zenon_H170 zenon_H61 zenon_H1ab zenon_H1ed zenon_H84 zenon_H82 zenon_H83 zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H128 zenon_H129 zenon_H12a zenon_H11 zenon_H27b zenon_H13e zenon_H13d zenon_H13c zenon_H265 zenon_H276 zenon_H26e zenon_H20 zenon_H105 zenon_H107 zenon_H5a zenon_H34. % 1.07/1.25 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.07/1.25 apply (zenon_L321_); trivial. % 1.07/1.25 apply (zenon_L642_); trivial. % 1.07/1.25 apply (zenon_L523_); trivial. % 1.07/1.25 apply (zenon_L643_); trivial. % 1.07/1.25 (* end of lemma zenon_L644_ *) % 1.07/1.25 assert (zenon_L645_ : ((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> (~(hskp18)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> False). % 1.07/1.25 do 0 intro. intros zenon_H64 zenon_Hce zenon_H11b zenon_H119 zenon_H61 zenon_H5a zenon_H5b zenon_H13c zenon_H13d zenon_H13e zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H128 zenon_H129 zenon_H12a zenon_H1ab zenon_H265 zenon_H276 zenon_H26e zenon_H105 zenon_H107 zenon_H34. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H20. zenon_intro zenon_H66. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H45. zenon_intro zenon_H67. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H46. zenon_intro zenon_H44. % 1.07/1.25 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.07/1.25 apply (zenon_L636_); trivial. % 1.07/1.25 apply (zenon_L65_); trivial. % 1.07/1.25 (* end of lemma zenon_L645_ *) % 1.07/1.25 assert (zenon_L646_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> (~(hskp18)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> (~(hskp3)) -> (ndr1_0) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (~(hskp15)) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (c3_1 (a1640)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> False). % 1.07/1.25 do 0 intro. intros zenon_H68 zenon_H11b zenon_H119 zenon_H5b zenon_H34 zenon_H5a zenon_H107 zenon_H105 zenon_H20 zenon_H26e zenon_H276 zenon_H265 zenon_H13c zenon_H13d zenon_H13e zenon_H27b zenon_H11 zenon_H12a zenon_H129 zenon_H128 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H83 zenon_H82 zenon_H84 zenon_H1ed zenon_H1ab zenon_H61 zenon_H170 zenon_Hce. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.07/1.25 apply (zenon_L644_); trivial. % 1.07/1.25 apply (zenon_L645_); trivial. % 1.07/1.25 (* end of lemma zenon_L646_ *) % 1.07/1.25 assert (zenon_L647_ : ((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> (c1_1 (a1680)) -> (~(c2_1 (a1680))) -> (~(c0_1 (a1680))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (c3_1 (a1640)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c2_1 (a1675)) -> (~(c1_1 (a1675))) -> (~(c0_1 (a1675))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (~(hskp15)) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> False). % 1.07/1.25 do 0 intro. intros zenon_Hc9 zenon_H222 zenon_H120 zenon_H11f zenon_H11e zenon_H289 zenon_H28a zenon_H28b zenon_Hca zenon_H13c zenon_H13d zenon_H13e zenon_H83 zenon_H82 zenon_H84 zenon_H211 zenon_H9a zenon_H99 zenon_H98 zenon_H27b zenon_H11 zenon_H12a zenon_H129 zenon_H128 zenon_H276 zenon_H26e zenon_H26c zenon_H299. % 1.07/1.25 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H20. zenon_intro zenon_Hcb. % 1.07/1.25 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc1. zenon_intro zenon_Hcc. % 1.07/1.25 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc2. zenon_intro zenon_Hc0. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.07/1.25 apply (zenon_L556_); trivial. % 1.07/1.25 apply (zenon_L375_); trivial. % 1.07/1.25 (* end of lemma zenon_L647_ *) % 1.07/1.25 assert (zenon_L648_ : ((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(c0_1 (a1637))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1640)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> (~(hskp15)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> False). % 1.07/1.25 do 0 intro. intros zenon_Hf8 zenon_H136 zenon_H222 zenon_H289 zenon_H28a zenon_H28b zenon_Hca zenon_H211 zenon_H26c zenon_H299 zenon_Hce zenon_H170 zenon_H61 zenon_H1ab zenon_H1ed zenon_H84 zenon_H82 zenon_H83 zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H128 zenon_H129 zenon_H12a zenon_H11 zenon_H27b zenon_H13e zenon_H13d zenon_H13c zenon_H265 zenon_H276 zenon_H26e zenon_H105 zenon_H107 zenon_H5a zenon_H34 zenon_H5b zenon_H11b zenon_H68. % 1.07/1.25 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_H20. zenon_intro zenon_Hf9. % 1.07/1.25 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H9a. zenon_intro zenon_Hfa. % 1.07/1.25 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_H98. zenon_intro zenon_H99. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H119 | zenon_intro zenon_H131 ]. % 1.07/1.25 apply (zenon_L646_); trivial. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H20. zenon_intro zenon_H133. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H120. zenon_intro zenon_H134. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.07/1.25 apply (zenon_L644_); trivial. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H20. zenon_intro zenon_H66. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H45. zenon_intro zenon_H67. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H46. zenon_intro zenon_H44. % 1.07/1.25 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.07/1.25 apply (zenon_L636_); trivial. % 1.07/1.25 apply (zenon_L647_); trivial. % 1.07/1.25 (* end of lemma zenon_L648_ *) % 1.07/1.25 assert (zenon_L649_ : ((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> (~(hskp0)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1640)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (~(c0_1 (a1637))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> False). % 1.07/1.25 do 0 intro. intros zenon_H15d zenon_H118 zenon_H136 zenon_H222 zenon_H289 zenon_H28a zenon_H28b zenon_H75 zenon_H1 zenon_H211 zenon_H299 zenon_Hce zenon_H170 zenon_H61 zenon_H1ab zenon_H1ed zenon_H84 zenon_H82 zenon_H83 zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H27b zenon_H13e zenon_H13d zenon_H13c zenon_H265 zenon_H276 zenon_H26e zenon_H105 zenon_H107 zenon_H5a zenon_H34 zenon_H5b zenon_H11b zenon_H68 zenon_H8d zenon_H26c zenon_Hca zenon_Hf1 zenon_Hf0. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 1.07/1.25 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H119 | zenon_intro zenon_H131 ]. % 1.07/1.25 apply (zenon_L646_); trivial. % 1.07/1.25 apply (zenon_L428_); trivial. % 1.07/1.25 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_H20. zenon_intro zenon_Hf6. % 1.07/1.25 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H79. zenon_intro zenon_Hf7. % 1.07/1.25 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H7a. zenon_intro zenon_H78. % 1.07/1.25 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 1.07/1.25 apply (zenon_L38_); trivial. % 1.07/1.25 apply (zenon_L648_); trivial. % 1.07/1.25 apply (zenon_L136_); trivial. % 1.07/1.25 (* end of lemma zenon_L649_ *) % 1.07/1.25 assert (zenon_L650_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1648))/\((c2_1 (a1648))/\(~(c3_1 (a1648))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> (~(hskp0)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (ndr1_0) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (~(hskp7)) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((hskp7)\/(hskp8))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> False). % 1.07/1.25 do 0 intro. intros zenon_H224 zenon_H159 zenon_H136 zenon_H289 zenon_H28a zenon_H28b zenon_H299 zenon_H170 zenon_H1ab zenon_H265 zenon_H5b zenon_H11b zenon_H68 zenon_H222 zenon_H1c6 zenon_H211 zenon_H75 zenon_H117 zenon_H107 zenon_H105 zenon_Hca zenon_Hce zenon_H34 zenon_H30 zenon_H1d zenon_H41 zenon_H1 zenon_H1ed zenon_H5a zenon_H61 zenon_H65 zenon_H132 zenon_H26c zenon_H26e zenon_H276 zenon_H27b zenon_H280 zenon_H118 zenon_H15a zenon_H1d1 zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H20 zenon_H8d zenon_H84 zenon_H83 zenon_H82 zenon_H9 zenon_H18d zenon_H18f zenon_Hf1 zenon_Hf0. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.07/1.25 apply (zenon_L342_); trivial. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.07/1.25 apply (zenon_L343_); trivial. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.07/1.25 apply (zenon_L199_); trivial. % 1.07/1.25 apply (zenon_L649_); trivial. % 1.07/1.25 (* end of lemma zenon_L650_ *) % 1.07/1.25 assert (zenon_L651_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> ((hskp10)\/((hskp18)\/(hskp11))) -> (~(hskp11)) -> (~(hskp10)) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> False). % 1.07/1.25 do 0 intro. intros zenon_H118 zenon_H280 zenon_H18b zenon_H2d zenon_H189 zenon_H289 zenon_H28a zenon_H28b zenon_H132 zenon_H26c zenon_H26e zenon_H276 zenon_H1ad zenon_H1af zenon_H1b0 zenon_H27b zenon_H299 zenon_H136. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H119 | zenon_intro zenon_H131 ]. % 1.07/1.25 apply (zenon_L104_); trivial. % 1.07/1.25 apply (zenon_L565_); trivial. % 1.07/1.25 apply (zenon_L314_); trivial. % 1.07/1.25 (* end of lemma zenon_L651_ *) % 1.07/1.25 assert (zenon_L652_ : ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> (c1_1 (a1643)) -> (~(c2_1 (a1643))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (~(c3_1 (a1643))) -> (ndr1_0) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (~(hskp0)) -> (~(hskp28)) -> False). % 1.07/1.25 do 0 intro. intros zenon_H41 zenon_H1b0 zenon_H1af zenon_H1ae zenon_H1ad zenon_H20 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H13c zenon_H13d zenon_H13e zenon_H1ab zenon_H1 zenon_H3f. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H35 | zenon_intro zenon_H42 ]. % 1.07/1.25 apply (zenon_L206_); trivial. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2 | zenon_intro zenon_H40 ]. % 1.07/1.25 exact (zenon_H1 zenon_H2). % 1.07/1.25 exact (zenon_H3f zenon_H40). % 1.07/1.25 (* end of lemma zenon_L652_ *) % 1.07/1.25 assert (zenon_L653_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (~(hskp28)) -> (~(hskp0)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> (ndr1_0) -> (~(hskp15)) -> False). % 1.07/1.25 do 0 intro. intros zenon_H299 zenon_H28b zenon_H28a zenon_H289 zenon_H3f zenon_H1 zenon_H1ab zenon_H13e zenon_H13d zenon_H13c zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H1ad zenon_H1af zenon_H1b0 zenon_H41 zenon_H27b zenon_H276 zenon_H26e zenon_H26c zenon_H12a zenon_H129 zenon_H128 zenon_H20 zenon_H11. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 1.07/1.25 apply (zenon_L355_); trivial. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 1.07/1.25 apply (zenon_L652_); trivial. % 1.07/1.25 apply (zenon_L312_); trivial. % 1.07/1.25 (* end of lemma zenon_L653_ *) % 1.07/1.25 assert (zenon_L654_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> (~(hskp0)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (c1_1 (a1643)) -> (~(c2_1 (a1643))) -> (~(c3_1 (a1643))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (~(hskp10)) -> ((hskp10)\/((hskp18)\/(hskp11))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> False). % 1.07/1.25 do 0 intro. intros zenon_H159 zenon_H15a zenon_H1d1 zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H8d zenon_H84 zenon_H83 zenon_H82 zenon_H34 zenon_Hca zenon_H1c6 zenon_H1ab zenon_H5a zenon_H1d zenon_H41 zenon_H1 zenon_H1ed zenon_H61 zenon_H65 zenon_Hf1 zenon_Hf0 zenon_H136 zenon_H299 zenon_H27b zenon_H1b0 zenon_H1af zenon_H1ad zenon_H276 zenon_H26e zenon_H26c zenon_H132 zenon_H28b zenon_H28a zenon_H289 zenon_H189 zenon_H18b zenon_H280 zenon_H118. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.07/1.25 apply (zenon_L651_); trivial. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.07/1.25 apply (zenon_L211_); trivial. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.07/1.25 apply (zenon_L653_); trivial. % 1.07/1.25 apply (zenon_L642_); trivial. % 1.07/1.25 apply (zenon_L136_); trivial. % 1.07/1.25 (* end of lemma zenon_L654_ *) % 1.07/1.25 assert (zenon_L655_ : ((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (~(hskp11)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(hskp15)) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> False). % 1.07/1.25 do 0 intro. intros zenon_H2f zenon_H299 zenon_H28b zenon_H28a zenon_H289 zenon_H2d zenon_H132 zenon_H1c6 zenon_H11 zenon_H1ad zenon_H1af zenon_H1b0 zenon_H26c zenon_H26e zenon_H276 zenon_H27b zenon_H1a4 zenon_H191 zenon_H192. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H20. zenon_intro zenon_H31. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H23. zenon_intro zenon_H32. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H24. zenon_intro zenon_H22. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 1.07/1.25 apply (zenon_L355_); trivial. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 1.07/1.25 apply (zenon_L564_); trivial. % 1.07/1.25 apply (zenon_L621_); trivial. % 1.07/1.25 (* end of lemma zenon_L655_ *) % 1.07/1.25 assert (zenon_L656_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (~(hskp15)) -> (c1_1 (a1643)) -> (~(c2_1 (a1643))) -> (~(c3_1 (a1643))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (~(hskp11)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (~(hskp12)) -> (~(hskp24)) -> ((hskp12)\/((hskp25)\/(hskp24))) -> False). % 1.07/1.25 do 0 intro. intros zenon_H34 zenon_H299 zenon_H1a4 zenon_H191 zenon_H192 zenon_H1c6 zenon_H27b zenon_H11 zenon_H1b0 zenon_H1af zenon_H1ad zenon_H276 zenon_H26e zenon_H26c zenon_H2d zenon_H132 zenon_H28b zenon_H28a zenon_H289 zenon_H17 zenon_H1b zenon_H1d. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 1.07/1.25 apply (zenon_L15_); trivial. % 1.07/1.25 apply (zenon_L655_); trivial. % 1.07/1.25 (* end of lemma zenon_L656_ *) % 1.07/1.25 assert (zenon_L657_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(hskp12)) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> (~(hskp15)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> False). % 1.07/1.25 do 0 intro. intros zenon_H65 zenon_H61 zenon_H5a zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1ed zenon_H1 zenon_H41 zenon_H1d zenon_H17 zenon_H289 zenon_H28a zenon_H28b zenon_H132 zenon_H2d zenon_H26c zenon_H26e zenon_H276 zenon_H1ad zenon_H1af zenon_H1b0 zenon_H11 zenon_H27b zenon_H1c6 zenon_H192 zenon_H191 zenon_H1a4 zenon_H299 zenon_H34. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.07/1.25 apply (zenon_L656_); trivial. % 1.07/1.25 apply (zenon_L164_); trivial. % 1.07/1.25 (* end of lemma zenon_L657_ *) % 1.07/1.25 assert (zenon_L658_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> False). % 1.07/1.25 do 0 intro. intros zenon_H15a zenon_H65 zenon_H61 zenon_H5a zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1ed zenon_H1 zenon_H41 zenon_H1d zenon_H289 zenon_H28a zenon_H28b zenon_H132 zenon_H2d zenon_H26c zenon_H26e zenon_H276 zenon_H1ad zenon_H1af zenon_H1b0 zenon_H27b zenon_H1c6 zenon_H192 zenon_H191 zenon_H1a4 zenon_H299 zenon_H34 zenon_H280 zenon_H118. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 1.07/1.25 apply (zenon_L657_); trivial. % 1.07/1.25 apply (zenon_L314_); trivial. % 1.07/1.25 apply (zenon_L315_); trivial. % 1.07/1.25 (* end of lemma zenon_L658_ *) % 1.07/1.25 assert (zenon_L659_ : ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c2_1 (a1709)) -> (c1_1 (a1709)) -> (~(c0_1 (a1709))) -> (ndr1_0) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> (~(c3_1 (a1643))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> False). % 1.07/1.25 do 0 intro. intros zenon_H5a zenon_H24 zenon_H23 zenon_H22 zenon_H20 zenon_H13c zenon_H13d zenon_H13e zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1b0 zenon_H1ab. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H21 ]. % 1.07/1.25 apply (zenon_L206_); trivial. % 1.07/1.25 apply (zenon_L17_); trivial. % 1.07/1.25 (* end of lemma zenon_L659_ *) % 1.07/1.25 assert (zenon_L660_ : ((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(hskp15)) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> False). % 1.07/1.25 do 0 intro. intros zenon_H2f zenon_H299 zenon_H28b zenon_H28a zenon_H289 zenon_H1ab zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H13e zenon_H13d zenon_H13c zenon_H5a zenon_H1c6 zenon_H11 zenon_H1ad zenon_H1af zenon_H1b0 zenon_H26c zenon_H26e zenon_H276 zenon_H27b zenon_H1a4 zenon_H191 zenon_H192. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H20. zenon_intro zenon_H31. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H23. zenon_intro zenon_H32. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H24. zenon_intro zenon_H22. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 1.07/1.25 apply (zenon_L355_); trivial. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 1.07/1.25 apply (zenon_L659_); trivial. % 1.07/1.25 apply (zenon_L621_); trivial. % 1.07/1.25 (* end of lemma zenon_L660_ *) % 1.07/1.25 assert (zenon_L661_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(hskp12)) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> (~(hskp15)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> False). % 1.07/1.25 do 0 intro. intros zenon_H65 zenon_H61 zenon_H1ed zenon_H1 zenon_H41 zenon_H1d zenon_H17 zenon_H289 zenon_H28a zenon_H28b zenon_H5a zenon_H13c zenon_H13d zenon_H13e zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1ad zenon_H1af zenon_H1b0 zenon_H1ab zenon_H1c6 zenon_H192 zenon_H191 zenon_H1a4 zenon_H26c zenon_H26e zenon_H276 zenon_H11 zenon_H27b zenon_H299 zenon_H34. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 1.07/1.25 apply (zenon_L15_); trivial. % 1.07/1.25 apply (zenon_L660_); trivial. % 1.07/1.25 apply (zenon_L164_); trivial. % 1.07/1.25 (* end of lemma zenon_L661_ *) % 1.07/1.25 assert (zenon_L662_ : ((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(hskp12)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c1_1 (a1643)) -> (~(c2_1 (a1643))) -> (~(c3_1 (a1643))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> False). % 1.07/1.25 do 0 intro. intros zenon_Hef zenon_Hf0 zenon_Hf1 zenon_H65 zenon_H61 zenon_H1ed zenon_H41 zenon_H1d zenon_H17 zenon_H5a zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H1ab zenon_H1b0 zenon_H1af zenon_H1ad zenon_H13e zenon_H13d zenon_H13c zenon_H1c6 zenon_Hca zenon_H34 zenon_H82 zenon_H83 zenon_H84 zenon_H8d zenon_H1 zenon_H75. % 1.07/1.25 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H20. zenon_intro zenon_Hf3. % 1.07/1.25 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H6c. zenon_intro zenon_Hf4. % 1.07/1.25 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H6a. zenon_intro zenon_H6b. % 1.07/1.25 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 1.07/1.25 apply (zenon_L34_); trivial. % 1.07/1.25 apply (zenon_L210_); trivial. % 1.07/1.25 (* end of lemma zenon_L662_ *) % 1.07/1.25 assert (zenon_L663_ : ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (c3_1 (a1637)) -> (~(c0_1 (a1637))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))) -> (c1_1 (a1637)) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp25)) -> False). % 1.07/1.25 do 0 intro. intros zenon_H265 zenon_H276 zenon_H26c zenon_H11d zenon_H26e zenon_H20 zenon_H3f zenon_H19. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H174 | zenon_intro zenon_H266 ]. % 1.07/1.25 apply (zenon_L332_); trivial. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H40 | zenon_intro zenon_H1a ]. % 1.07/1.25 exact (zenon_H3f zenon_H40). % 1.07/1.25 exact (zenon_H19 zenon_H1a). % 1.07/1.25 (* end of lemma zenon_L663_ *) % 1.07/1.25 assert (zenon_L664_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (~(hskp0)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (c3_1 (a1637)) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp25)) -> False). % 1.07/1.25 do 0 intro. intros zenon_H299 zenon_H28b zenon_H28a zenon_H289 zenon_H1 zenon_H1ab zenon_H13e zenon_H13d zenon_H13c zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H1ad zenon_H1af zenon_H1b0 zenon_H41 zenon_H265 zenon_H276 zenon_H26c zenon_H26e zenon_H20 zenon_H3f zenon_H19. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 1.07/1.25 apply (zenon_L355_); trivial. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 1.07/1.25 apply (zenon_L652_); trivial. % 1.07/1.25 apply (zenon_L663_); trivial. % 1.07/1.25 (* end of lemma zenon_L664_ *) % 1.07/1.25 assert (zenon_L665_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1640)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> (~(hskp15)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (ndr1_0) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> (~(hskp0)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (~(hskp25)) -> (c3_1 (a1637)) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> False). % 1.07/1.25 do 0 intro. intros zenon_H61 zenon_H1ed zenon_H84 zenon_H82 zenon_H83 zenon_H128 zenon_H129 zenon_H12a zenon_H11 zenon_H27b zenon_H20 zenon_H289 zenon_H28a zenon_H28b zenon_H41 zenon_H1 zenon_H13c zenon_H13d zenon_H13e zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1ad zenon_H1af zenon_H1b0 zenon_H1ab zenon_H265 zenon_H19 zenon_H276 zenon_H26c zenon_H26e zenon_H299. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.07/1.25 apply (zenon_L664_); trivial. % 1.07/1.25 apply (zenon_L642_); trivial. % 1.07/1.25 (* end of lemma zenon_L665_ *) % 1.07/1.25 assert (zenon_L666_ : ((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1640)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> (~(hskp0)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (c3_1 (a1637)) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> False). % 1.07/1.25 do 0 intro. intros zenon_H15d zenon_H118 zenon_H61 zenon_H1ed zenon_H84 zenon_H82 zenon_H83 zenon_H27b zenon_H289 zenon_H28a zenon_H28b zenon_H41 zenon_H1 zenon_H13c zenon_H13d zenon_H13e zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1ad zenon_H1af zenon_H1b0 zenon_H1ab zenon_H265 zenon_H276 zenon_H26c zenon_H26e zenon_H299 zenon_H5a zenon_H1c6 zenon_H192 zenon_H191 zenon_H1a4 zenon_H34. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 1.07/1.25 apply (zenon_L665_); trivial. % 1.07/1.25 apply (zenon_L660_); trivial. % 1.07/1.25 apply (zenon_L136_); trivial. % 1.07/1.25 (* end of lemma zenon_L666_ *) % 1.07/1.25 assert (zenon_L667_ : ((ndr1_0)/\((c0_1 (a1642))/\((~(c2_1 (a1642)))/\(~(c3_1 (a1642)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((hskp16)\/(hskp0))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp3))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> (~(hskp0)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> False). % 1.07/1.25 do 0 intro. intros zenon_H29b zenon_H159 zenon_H136 zenon_H222 zenon_H289 zenon_H28a zenon_H28b zenon_H75 zenon_H211 zenon_H299 zenon_H170 zenon_H265 zenon_H5b zenon_H11b zenon_H68 zenon_Hf0 zenon_H1ab zenon_H150 zenon_H117 zenon_Hf1 zenon_H107 zenon_H105 zenon_Hca zenon_H82 zenon_H83 zenon_H84 zenon_H8d zenon_Hce zenon_H34 zenon_H30 zenon_H1d zenon_H41 zenon_H1 zenon_H1ed zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H5a zenon_H61 zenon_H65 zenon_H132 zenon_H26c zenon_H26e zenon_H276 zenon_H27b zenon_H280 zenon_H118 zenon_H15a. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H20. zenon_intro zenon_H29d. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H163. zenon_intro zenon_H29e. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H161. zenon_intro zenon_H162. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.07/1.25 apply (zenon_L343_); trivial. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.07/1.25 apply (zenon_L219_); trivial. % 1.07/1.25 apply (zenon_L649_); trivial. % 1.07/1.25 (* end of lemma zenon_L667_ *) % 1.07/1.25 assert (zenon_L668_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> (~(hskp12)) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (~(hskp19)) -> (~(hskp6)) -> ((hskp19)\/((hskp21)\/(hskp6))) -> False). % 1.07/1.25 do 0 intro. intros zenon_Hce zenon_H112 zenon_H17 zenon_H229 zenon_H228 zenon_H227 zenon_H13 zenon_Hb zenon_H16e. % 1.07/1.25 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.07/1.25 apply (zenon_L85_); trivial. % 1.07/1.25 apply (zenon_L225_); trivial. % 1.07/1.25 (* end of lemma zenon_L668_ *) % 1.07/1.25 assert (zenon_L669_ : ((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(hskp22)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> False). % 1.07/1.25 do 0 intro. intros zenon_H23f zenon_H299 zenon_H28b zenon_H28a zenon_H289 zenon_H2a7 zenon_H20f zenon_H13c zenon_H13d zenon_H13e zenon_H211 zenon_H229 zenon_H228 zenon_H227 zenon_H26c zenon_H26e zenon_H276. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H20. zenon_intro zenon_H240. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H236. zenon_intro zenon_H241. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H237. zenon_intro zenon_H238. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 1.07/1.25 apply (zenon_L355_); trivial. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 1.07/1.25 apply (zenon_L262_); trivial. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H1ae | zenon_intro zenon_H2a8 ]. % 1.07/1.25 apply (zenon_L262_); trivial. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H109 | zenon_intro zenon_H275 ]. % 1.07/1.25 apply (zenon_L223_); trivial. % 1.07/1.25 apply (zenon_L311_); trivial. % 1.07/1.25 (* end of lemma zenon_L669_ *) % 1.07/1.25 assert (zenon_L670_ : ((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(hskp22)) -> (c2_1 (a1682)) -> (c1_1 (a1682)) -> (~(c3_1 (a1682))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> False). % 1.07/1.25 do 0 intro. intros zenon_H59 zenon_H242 zenon_H299 zenon_H227 zenon_H228 zenon_H229 zenon_H26c zenon_H26e zenon_H276 zenon_H2a7 zenon_H13c zenon_H13d zenon_H13e zenon_H28b zenon_H28a zenon_H289 zenon_H211 zenon_H20f zenon_H46 zenon_H45 zenon_H44 zenon_H3 zenon_H294. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 1.07/1.25 apply (zenon_L379_); trivial. % 1.07/1.25 apply (zenon_L669_); trivial. % 1.07/1.25 (* end of lemma zenon_L670_ *) % 1.07/1.25 assert (zenon_L671_ : ((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(hskp22)) -> (c2_1 (a1682)) -> (c1_1 (a1682)) -> (~(c3_1 (a1682))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> False). % 1.07/1.25 do 0 intro. intros zenon_H60 zenon_H61 zenon_H242 zenon_H299 zenon_H227 zenon_H228 zenon_H229 zenon_H26c zenon_H26e zenon_H276 zenon_H2a7 zenon_H13c zenon_H13d zenon_H13e zenon_H28b zenon_H28a zenon_H289 zenon_H211 zenon_H20f zenon_H46 zenon_H45 zenon_H44 zenon_H3 zenon_H294 zenon_H1 zenon_H41. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H20. zenon_intro zenon_H62. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H38. zenon_intro zenon_H63. % 1.07/1.25 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H36. zenon_intro zenon_H37. % 1.07/1.25 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.07/1.25 apply (zenon_L24_); trivial. % 1.07/1.25 apply (zenon_L670_); trivial. % 1.07/1.25 (* end of lemma zenon_L671_ *) % 1.07/1.25 assert (zenon_L672_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(hskp22)) -> (c2_1 (a1682)) -> (c1_1 (a1682)) -> (~(c3_1 (a1682))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> (~(hskp0)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> (~(hskp12)) -> (~(hskp5)) -> ((hskp12)\/((hskp5)\/(hskp24))) -> False). % 1.07/1.26 do 0 intro. intros zenon_H65 zenon_H61 zenon_H242 zenon_H299 zenon_H227 zenon_H228 zenon_H229 zenon_H26c zenon_H26e zenon_H276 zenon_H2a7 zenon_H13c zenon_H13d zenon_H13e zenon_H28b zenon_H28a zenon_H289 zenon_H211 zenon_H20f zenon_H46 zenon_H45 zenon_H44 zenon_H294 zenon_H1 zenon_H41 zenon_H17 zenon_H3 zenon_H2a0. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.07/1.26 apply (zenon_L400_); trivial. % 1.07/1.26 apply (zenon_L671_); trivial. % 1.07/1.26 (* end of lemma zenon_L672_ *) % 1.07/1.26 assert (zenon_L673_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(c3_1 (a1697))) -> (~(c2_1 (a1697))) -> (~(c0_1 (a1697))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (ndr1_0) -> (~(c0_1 (a1637))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> False). % 1.07/1.26 do 0 intro. intros zenon_H2a7 zenon_H218 zenon_H217 zenon_H216 zenon_H229 zenon_H228 zenon_H227 zenon_H20 zenon_H26c zenon_H11d zenon_H26e zenon_H276. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H1ae | zenon_intro zenon_H2a8 ]. % 1.07/1.26 apply (zenon_L194_); trivial. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H109 | zenon_intro zenon_H275 ]. % 1.07/1.26 apply (zenon_L223_); trivial. % 1.07/1.26 apply (zenon_L311_); trivial. % 1.07/1.26 (* end of lemma zenon_L673_ *) % 1.07/1.26 assert (zenon_L674_ : ((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> False). % 1.07/1.26 do 0 intro. intros zenon_H21f zenon_H299 zenon_H28b zenon_H28a zenon_H289 zenon_H2a7 zenon_H229 zenon_H228 zenon_H227 zenon_H26c zenon_H26e zenon_H276. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H20. zenon_intro zenon_H220. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H216. zenon_intro zenon_H221. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H217. zenon_intro zenon_H218. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 1.07/1.26 apply (zenon_L355_); trivial. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 1.07/1.26 apply (zenon_L194_); trivial. % 1.07/1.26 apply (zenon_L673_); trivial. % 1.07/1.26 (* end of lemma zenon_L674_ *) % 1.07/1.26 assert (zenon_L675_ : ((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (~(hskp22)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (c3_1 (a1637)) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (~(hskp28)) -> (~(hskp25)) -> False). % 1.07/1.26 do 0 intro. intros zenon_H23f zenon_H299 zenon_H28b zenon_H28a zenon_H289 zenon_H20f zenon_H13c zenon_H13d zenon_H13e zenon_H211 zenon_H265 zenon_H276 zenon_H26c zenon_H26e zenon_H3f zenon_H19. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H20. zenon_intro zenon_H240. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H236. zenon_intro zenon_H241. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H237. zenon_intro zenon_H238. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 1.07/1.26 apply (zenon_L355_); trivial. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 1.07/1.26 apply (zenon_L262_); trivial. % 1.07/1.26 apply (zenon_L663_); trivial. % 1.07/1.26 (* end of lemma zenon_L675_ *) % 1.07/1.26 assert (zenon_L676_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (c3_1 (a1637)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (~(hskp22)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (~(hskp10)) -> (~(hskp6)) -> ((hskp29)\/((hskp10)\/(hskp6))) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> (~(hskp15)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> False). % 1.07/1.26 do 0 intro. intros zenon_H34 zenon_H242 zenon_H299 zenon_H26e zenon_H26c zenon_H276 zenon_H265 zenon_H13c zenon_H13d zenon_H13e zenon_H20f zenon_H211 zenon_H28b zenon_H28a zenon_H289 zenon_H189 zenon_Hb zenon_H2ad zenon_H128 zenon_H129 zenon_H12a zenon_H11 zenon_H27b zenon_H3 zenon_H294 zenon_H61. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H231 | zenon_intro zenon_H2ae ]. % 1.07/1.26 exact (zenon_H230 zenon_H231). % 1.07/1.26 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H18a | zenon_intro zenon_Hc ]. % 1.07/1.26 exact (zenon_H189 zenon_H18a). % 1.07/1.26 exact (zenon_Hb zenon_Hc). % 1.07/1.26 apply (zenon_L675_); trivial. % 1.07/1.26 apply (zenon_L529_); trivial. % 1.07/1.26 apply (zenon_L532_); trivial. % 1.07/1.26 (* end of lemma zenon_L676_ *) % 1.07/1.26 assert (zenon_L677_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (c3_1 (a1637)) -> (~(hskp25)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (~(hskp22)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (ndr1_0) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> (~(hskp28)) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> False). % 1.07/1.26 do 0 intro. intros zenon_H242 zenon_H299 zenon_H26e zenon_H26c zenon_H276 zenon_H19 zenon_H265 zenon_H13c zenon_H13d zenon_H13e zenon_H20f zenon_H211 zenon_H28b zenon_H28a zenon_H289 zenon_H20 zenon_H227 zenon_H228 zenon_H229 zenon_H1ff zenon_H3f zenon_H192 zenon_H191 zenon_H12a zenon_H129 zenon_H128 zenon_H232. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 1.07/1.26 apply (zenon_L236_); trivial. % 1.07/1.26 apply (zenon_L675_); trivial. % 1.07/1.26 (* end of lemma zenon_L677_ *) % 1.07/1.26 assert (zenon_L678_ : ((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (~(c0_1 (a1701))) -> (~(c1_1 (a1701))) -> (c3_1 (a1701)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> (~(hskp15)) -> False). % 1.07/1.26 do 0 intro. intros zenon_H59 zenon_H299 zenon_H28b zenon_H28a zenon_H289 zenon_H36 zenon_H37 zenon_H38 zenon_H5b zenon_H13e zenon_H13d zenon_H13c zenon_H5a zenon_H27b zenon_H276 zenon_H26e zenon_H26c zenon_H12a zenon_H129 zenon_H128 zenon_H11. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 1.07/1.26 apply (zenon_L355_); trivial. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 1.07/1.26 apply (zenon_L389_); trivial. % 1.07/1.26 apply (zenon_L312_); trivial. % 1.07/1.26 (* end of lemma zenon_L678_ *) % 1.07/1.26 assert (zenon_L679_ : ((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (c3_1 (a1637)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (~(hskp22)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (~(hskp15)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> False). % 1.07/1.26 do 0 intro. intros zenon_H60 zenon_H34 zenon_H242 zenon_H299 zenon_H26e zenon_H26c zenon_H276 zenon_H265 zenon_H13c zenon_H13d zenon_H13e zenon_H20f zenon_H211 zenon_H28b zenon_H28a zenon_H289 zenon_H227 zenon_H228 zenon_H229 zenon_H1ff zenon_H192 zenon_H191 zenon_H12a zenon_H129 zenon_H128 zenon_H232 zenon_H5a zenon_H5b zenon_H27b zenon_H11 zenon_H61. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H20. zenon_intro zenon_H62. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H38. zenon_intro zenon_H63. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H36. zenon_intro zenon_H37. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.07/1.26 apply (zenon_L677_); trivial. % 1.07/1.26 apply (zenon_L678_); trivial. % 1.07/1.26 apply (zenon_L322_); trivial. % 1.07/1.26 (* end of lemma zenon_L679_ *) % 1.07/1.26 assert (zenon_L680_ : ((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> False). % 1.07/1.26 do 0 intro. intros zenon_H15d zenon_H118 zenon_H1ab zenon_H65 zenon_H34 zenon_H265 zenon_H1ff zenon_H5a zenon_H5b zenon_H61 zenon_H232 zenon_H191 zenon_H192 zenon_H233 zenon_H229 zenon_H228 zenon_H227 zenon_H289 zenon_H28a zenon_H28b zenon_H211 zenon_H13e zenon_H13d zenon_H13c zenon_H27b zenon_H276 zenon_H26e zenon_H26c zenon_H299 zenon_H242 zenon_H2a7 zenon_H222. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 1.07/1.26 apply (zenon_L229_); trivial. % 1.07/1.26 apply (zenon_L528_); trivial. % 1.07/1.26 apply (zenon_L679_); trivial. % 1.07/1.26 apply (zenon_L674_); trivial. % 1.07/1.26 apply (zenon_L136_); trivial. % 1.07/1.26 (* end of lemma zenon_L680_ *) % 1.07/1.26 assert (zenon_L681_ : ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (~(hskp15)) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(hskp20)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(hskp21)) -> (~(hskp19)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> False). % 1.07/1.26 do 0 intro. intros zenon_H222 zenon_H227 zenon_H228 zenon_H229 zenon_H2a7 zenon_H61 zenon_H242 zenon_H289 zenon_H28a zenon_H28b zenon_H294 zenon_H3 zenon_H13c zenon_H13d zenon_H13e zenon_H211 zenon_H27b zenon_H11 zenon_H12a zenon_H129 zenon_H128 zenon_H276 zenon_H26e zenon_H26c zenon_H299 zenon_H95 zenon_H91 zenon_Hb2 zenon_Hb0 zenon_H13 zenon_H170 zenon_Hcf zenon_Hd0. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.07/1.26 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H8f | zenon_intro zenon_Hbd ]. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.07/1.26 apply (zenon_L89_); trivial. % 1.07/1.26 apply (zenon_L529_); trivial. % 1.07/1.26 apply (zenon_L48_); trivial. % 1.07/1.26 apply (zenon_L674_); trivial. % 1.07/1.26 (* end of lemma zenon_L681_ *) % 1.07/1.26 assert (zenon_L682_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(hskp20)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> (~(hskp15)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> False). % 1.07/1.26 do 0 intro. intros zenon_Hce zenon_Hd0 zenon_Hcf zenon_H170 zenon_H13 zenon_Hb2 zenon_H91 zenon_H95 zenon_H299 zenon_H26c zenon_H26e zenon_H276 zenon_H128 zenon_H129 zenon_H12a zenon_H11 zenon_H27b zenon_H211 zenon_H13e zenon_H13d zenon_H13c zenon_H3 zenon_H294 zenon_H28b zenon_H28a zenon_H289 zenon_H242 zenon_H61 zenon_H2a7 zenon_H229 zenon_H228 zenon_H227 zenon_H222. % 1.07/1.26 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.07/1.26 apply (zenon_L681_); trivial. % 1.07/1.26 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H20. zenon_intro zenon_Hcb. % 1.07/1.26 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc1. zenon_intro zenon_Hcc. % 1.07/1.26 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc2. zenon_intro zenon_Hc0. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.07/1.26 apply (zenon_L536_); trivial. % 1.07/1.26 apply (zenon_L674_); trivial. % 1.07/1.26 (* end of lemma zenon_L682_ *) % 1.07/1.26 assert (zenon_L683_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2))))) -> (~(c0_1 (a1641))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp5)) -> False). % 1.07/1.26 do 0 intro. intros zenon_H294 zenon_H17b zenon_H17a zenon_Hd4 zenon_H179 zenon_H20 zenon_H230 zenon_H3. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H21 | zenon_intro zenon_H295 ]. % 1.07/1.26 apply (zenon_L94_); trivial. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H231 | zenon_intro zenon_H4 ]. % 1.07/1.26 exact (zenon_H230 zenon_H231). % 1.07/1.26 exact (zenon_H3 zenon_H4). % 1.07/1.26 (* end of lemma zenon_L683_ *) % 1.07/1.26 assert (zenon_L684_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (c3_1 (a1637)) -> (~(hskp28)) -> (~(hskp25)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (~(hskp22)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (ndr1_0) -> (~(c2_1 (a1689))) -> (c0_1 (a1689)) -> (c1_1 (a1689)) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> False). % 1.07/1.26 do 0 intro. intros zenon_H242 zenon_H299 zenon_H26e zenon_H26c zenon_H276 zenon_H3f zenon_H19 zenon_H265 zenon_H13c zenon_H13d zenon_H13e zenon_H20f zenon_H211 zenon_H28b zenon_H28a zenon_H289 zenon_H294 zenon_H3 zenon_H17b zenon_H17a zenon_H179 zenon_H20 zenon_Hdf zenon_He0 zenon_He1 zenon_He8 zenon_Heb. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 1.07/1.26 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hee ]. % 1.07/1.26 apply (zenon_L683_); trivial. % 1.07/1.26 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_Hde | zenon_intro zenon_He9 ]. % 1.07/1.26 apply (zenon_L53_); trivial. % 1.07/1.26 exact (zenon_He8 zenon_He9). % 1.07/1.26 apply (zenon_L675_); trivial. % 1.07/1.26 (* end of lemma zenon_L684_ *) % 1.07/1.26 assert (zenon_L685_ : ((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (~(hskp15)) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (c3_1 (a1637)) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> False). % 1.07/1.26 do 0 intro. intros zenon_Hea zenon_H222 zenon_H227 zenon_H228 zenon_H229 zenon_H2a7 zenon_H61 zenon_H27b zenon_H11 zenon_H12a zenon_H129 zenon_H128 zenon_Heb zenon_He8 zenon_H179 zenon_H17a zenon_H17b zenon_H3 zenon_H294 zenon_H289 zenon_H28a zenon_H28b zenon_H211 zenon_H13e zenon_H13d zenon_H13c zenon_H265 zenon_H276 zenon_H26c zenon_H26e zenon_H299 zenon_H242 zenon_H34. % 1.07/1.26 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H20. zenon_intro zenon_Hec. % 1.07/1.26 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He0. zenon_intro zenon_Hed. % 1.07/1.26 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_He1. zenon_intro zenon_Hdf. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.07/1.26 apply (zenon_L684_); trivial. % 1.07/1.26 apply (zenon_L529_); trivial. % 1.07/1.26 apply (zenon_L532_); trivial. % 1.07/1.26 apply (zenon_L674_); trivial. % 1.07/1.26 (* end of lemma zenon_L685_ *) % 1.07/1.26 assert (zenon_L686_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (~(hskp15)) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(hskp19)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> False). % 1.07/1.26 do 0 intro. intros zenon_Hf2 zenon_Heb zenon_He8 zenon_H179 zenon_H17a zenon_H17b zenon_H265 zenon_H34 zenon_H222 zenon_H227 zenon_H228 zenon_H229 zenon_H2a7 zenon_H61 zenon_H242 zenon_H289 zenon_H28a zenon_H28b zenon_H294 zenon_H3 zenon_H13c zenon_H13d zenon_H13e zenon_H211 zenon_H27b zenon_H11 zenon_H12a zenon_H129 zenon_H128 zenon_H276 zenon_H26e zenon_H26c zenon_H299 zenon_H95 zenon_Hb2 zenon_H13 zenon_H170 zenon_Hcf zenon_Hd0 zenon_Hce. % 1.07/1.26 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 1.07/1.26 apply (zenon_L682_); trivial. % 1.07/1.26 apply (zenon_L685_); trivial. % 1.07/1.26 (* end of lemma zenon_L686_ *) % 1.07/1.26 assert (zenon_L687_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (~(hskp15)) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (~(hskp25)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (~(hskp27)) -> (~(hskp20)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(c3_1 (a1682))) -> (c1_1 (a1682)) -> (c2_1 (a1682)) -> (~(hskp22)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> False). % 1.07/1.26 do 0 intro. intros zenon_H61 zenon_H289 zenon_H28a zenon_H28b zenon_H294 zenon_H3 zenon_H13c zenon_H13d zenon_H13e zenon_H27b zenon_H11 zenon_H12a zenon_H129 zenon_H128 zenon_H276 zenon_H26e zenon_H26c zenon_H299 zenon_Hcf zenon_H232 zenon_H19 zenon_H265 zenon_H229 zenon_H228 zenon_H227 zenon_H8f zenon_H91 zenon_H95 zenon_H44 zenon_H45 zenon_H46 zenon_H20f zenon_H211 zenon_H242. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 1.07/1.26 apply (zenon_L295_); trivial. % 1.07/1.26 apply (zenon_L231_); trivial. % 1.07/1.26 apply (zenon_L529_); trivial. % 1.07/1.26 (* end of lemma zenon_L687_ *) % 1.07/1.26 assert (zenon_L688_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> (~(hskp18)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (~(hskp15)) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (~(hskp20)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(c3_1 (a1682))) -> (c1_1 (a1682)) -> (c2_1 (a1682)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> False). % 1.07/1.26 do 0 intro. intros zenon_Hce zenon_H11b zenon_H119 zenon_H34 zenon_H61 zenon_H289 zenon_H28a zenon_H28b zenon_H294 zenon_H3 zenon_H13c zenon_H13d zenon_H13e zenon_H27b zenon_H11 zenon_H12a zenon_H129 zenon_H128 zenon_H276 zenon_H26e zenon_H26c zenon_H299 zenon_Hcf zenon_H232 zenon_H265 zenon_H229 zenon_H228 zenon_H227 zenon_H91 zenon_H95 zenon_H44 zenon_H45 zenon_H46 zenon_H211 zenon_H242 zenon_Hb2 zenon_Hd0 zenon_H222. % 1.07/1.26 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 1.07/1.26 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H8f | zenon_intro zenon_Hbd ]. % 1.07/1.26 apply (zenon_L687_); trivial. % 1.07/1.26 apply (zenon_L48_); trivial. % 1.07/1.26 apply (zenon_L532_); trivial. % 1.07/1.26 apply (zenon_L534_); trivial. % 1.07/1.26 apply (zenon_L65_); trivial. % 1.07/1.26 (* end of lemma zenon_L688_ *) % 1.07/1.26 assert (zenon_L689_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (~(hskp18)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> (~(hskp15)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> False). % 1.07/1.26 do 0 intro. intros zenon_H68 zenon_H232 zenon_H119 zenon_H11b zenon_Hce zenon_Hd0 zenon_Hcf zenon_H170 zenon_Hb2 zenon_H95 zenon_H299 zenon_H26c zenon_H26e zenon_H276 zenon_H128 zenon_H129 zenon_H12a zenon_H11 zenon_H27b zenon_H211 zenon_H13e zenon_H13d zenon_H13c zenon_H3 zenon_H294 zenon_H28b zenon_H28a zenon_H289 zenon_H242 zenon_H61 zenon_H2a7 zenon_H229 zenon_H228 zenon_H227 zenon_H222 zenon_H34 zenon_H265 zenon_H17b zenon_H17a zenon_H179 zenon_He8 zenon_Heb zenon_Hf2. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.07/1.26 apply (zenon_L686_); trivial. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H20. zenon_intro zenon_H66. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H45. zenon_intro zenon_H67. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H46. zenon_intro zenon_H44. % 1.07/1.26 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 1.07/1.26 apply (zenon_L688_); trivial. % 1.07/1.26 apply (zenon_L685_); trivial. % 1.07/1.26 (* end of lemma zenon_L689_ *) % 1.07/1.26 assert (zenon_L690_ : ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(hskp21)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (c1_1 (a1680)) -> (~(c2_1 (a1680))) -> (~(c0_1 (a1680))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(hskp20)) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a1682))) -> (c1_1 (a1682)) -> (c2_1 (a1682)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (~(hskp15)) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> False). % 1.07/1.26 do 0 intro. intros zenon_H222 zenon_H2a7 zenon_Hd0 zenon_Hb2 zenon_Hb0 zenon_H242 zenon_H299 zenon_H120 zenon_H11f zenon_H11e zenon_H13c zenon_H13d zenon_H13e zenon_H211 zenon_H28b zenon_H28a zenon_H289 zenon_H95 zenon_H91 zenon_H227 zenon_H228 zenon_H229 zenon_H265 zenon_H232 zenon_Hcf zenon_H294 zenon_H3 zenon_H44 zenon_H45 zenon_H46 zenon_H61 zenon_H27b zenon_H11 zenon_H12a zenon_H129 zenon_H128 zenon_H276 zenon_H26e zenon_H26c zenon_H34. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 1.07/1.26 apply (zenon_L382_); trivial. % 1.07/1.26 apply (zenon_L532_); trivial. % 1.07/1.26 apply (zenon_L674_); trivial. % 1.07/1.26 (* end of lemma zenon_L690_ *) % 1.07/1.26 assert (zenon_L691_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((hskp7)\/(hskp8))) -> (~(hskp8)) -> (~(hskp7)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> (~(hskp15)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> (c2_1 (a1682)) -> (c1_1 (a1682)) -> (~(c3_1 (a1682))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (~(hskp20)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(c0_1 (a1680))) -> (~(c2_1 (a1680))) -> (c1_1 (a1680)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> False). % 1.07/1.26 do 0 intro. intros zenon_Hce zenon_H18f zenon_H18d zenon_H9 zenon_H34 zenon_H26c zenon_H26e zenon_H276 zenon_H128 zenon_H129 zenon_H12a zenon_H11 zenon_H27b zenon_H61 zenon_H46 zenon_H45 zenon_H44 zenon_H3 zenon_H294 zenon_Hcf zenon_H232 zenon_H265 zenon_H229 zenon_H228 zenon_H227 zenon_H91 zenon_H95 zenon_H289 zenon_H28a zenon_H28b zenon_H211 zenon_H13e zenon_H13d zenon_H13c zenon_H11e zenon_H11f zenon_H120 zenon_H299 zenon_H242 zenon_Hb2 zenon_Hd0 zenon_H2a7 zenon_H222. % 1.07/1.26 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.07/1.26 apply (zenon_L690_); trivial. % 1.07/1.26 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H20. zenon_intro zenon_Hcb. % 1.07/1.26 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc1. zenon_intro zenon_Hcc. % 1.07/1.26 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc2. zenon_intro zenon_Hc0. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 1.07/1.26 apply (zenon_L384_); trivial. % 1.07/1.26 apply (zenon_L675_); trivial. % 1.07/1.26 apply (zenon_L380_); trivial. % 1.07/1.26 apply (zenon_L532_); trivial. % 1.07/1.26 apply (zenon_L674_); trivial. % 1.07/1.26 (* end of lemma zenon_L691_ *) % 1.07/1.26 assert (zenon_L692_ : ((ndr1_0)/\((c0_1 (a1648))/\((c2_1 (a1648))/\(~(c3_1 (a1648)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> False). % 1.07/1.26 do 0 intro. intros zenon_H1a1 zenon_H159 zenon_H15a zenon_H118 zenon_H1ab zenon_H34 zenon_H265 zenon_H1ff zenon_H5b zenon_H61 zenon_H289 zenon_H28a zenon_H28b zenon_H27b zenon_H299 zenon_H2a7 zenon_Hce zenon_Hcf zenon_H112 zenon_Hb2 zenon_H95 zenon_Hd0 zenon_H65 zenon_H5a zenon_H232 zenon_H233 zenon_H1c6 zenon_H17b zenon_H17a zenon_H179 zenon_H211 zenon_He8 zenon_Heb zenon_H242 zenon_H222 zenon_Hf2 zenon_H227 zenon_H228 zenon_H229 zenon_H26c zenon_H26e zenon_H276 zenon_H259. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.07/1.26 apply (zenon_L345_); trivial. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.07/1.26 apply (zenon_L278_); trivial. % 1.07/1.26 apply (zenon_L680_); trivial. % 1.07/1.26 (* end of lemma zenon_L692_ *) % 1.07/1.26 assert (zenon_L693_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (~(hskp28)) -> (c0_1 (a1635)) -> (c1_1 (a1635)) -> (c2_1 (a1635)) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> (ndr1_0) -> (~(hskp15)) -> False). % 1.07/1.26 do 0 intro. intros zenon_H299 zenon_H28b zenon_H28a zenon_H289 zenon_H3f zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H1ad zenon_H1af zenon_H1b0 zenon_H1ff zenon_H27b zenon_H276 zenon_H26e zenon_H26c zenon_H12a zenon_H129 zenon_H128 zenon_H20 zenon_H11. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 1.07/1.26 apply (zenon_L355_); trivial. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 1.07/1.26 apply (zenon_L396_); trivial. % 1.07/1.26 apply (zenon_L312_); trivial. % 1.07/1.26 (* end of lemma zenon_L693_ *) % 1.07/1.26 assert (zenon_L694_ : ((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (~(hskp22)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> (c1_1 (a1643)) -> (~(c2_1 (a1643))) -> (~(c3_1 (a1643))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (~(hskp15)) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> False). % 1.07/1.26 do 0 intro. intros zenon_Hbd zenon_H61 zenon_H242 zenon_H294 zenon_H3 zenon_H13c zenon_H13d zenon_H13e zenon_H20f zenon_H211 zenon_H289 zenon_H28a zenon_H28b zenon_H1ff zenon_H1b0 zenon_H1af zenon_H1ad zenon_H27b zenon_H11 zenon_H12a zenon_H129 zenon_H128 zenon_H276 zenon_H26e zenon_H26c zenon_H299. % 1.07/1.26 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_H20. zenon_intro zenon_Hbe. % 1.07/1.26 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hbf. % 1.07/1.26 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Hb5. zenon_intro zenon_Hb6. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.07/1.26 apply (zenon_L693_); trivial. % 1.07/1.26 apply (zenon_L529_); trivial. % 1.07/1.26 (* end of lemma zenon_L694_ *) % 1.07/1.26 assert (zenon_L695_ : ((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> (~(hskp15)) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> (~(c0_1 (a1680))) -> (~(c2_1 (a1680))) -> (c1_1 (a1680)) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> False). % 1.07/1.26 do 0 intro. intros zenon_H64 zenon_Hf2 zenon_H2a7 zenon_Heb zenon_He8 zenon_H179 zenon_H17a zenon_H17b zenon_H34 zenon_H61 zenon_H289 zenon_H28a zenon_H28b zenon_H294 zenon_H3 zenon_H13c zenon_H13d zenon_H13e zenon_H27b zenon_H11 zenon_H12a zenon_H129 zenon_H128 zenon_H276 zenon_H26e zenon_H26c zenon_H299 zenon_Hcf zenon_H232 zenon_H265 zenon_H229 zenon_H228 zenon_H227 zenon_H95 zenon_H211 zenon_H242 zenon_H1ad zenon_H1af zenon_H1b0 zenon_H1ff zenon_Hd0 zenon_H11e zenon_H11f zenon_H120 zenon_H222. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H20. zenon_intro zenon_H66. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H45. zenon_intro zenon_H67. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H46. zenon_intro zenon_H44. % 1.07/1.26 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 1.07/1.26 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H8f | zenon_intro zenon_Hbd ]. % 1.07/1.26 apply (zenon_L687_); trivial. % 1.07/1.26 apply (zenon_L694_); trivial. % 1.07/1.26 apply (zenon_L532_); trivial. % 1.07/1.26 apply (zenon_L375_); trivial. % 1.07/1.26 apply (zenon_L685_); trivial. % 1.07/1.26 (* end of lemma zenon_L695_ *) % 1.07/1.26 assert (zenon_L696_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (c3_1 (a1637)) -> (~(hskp25)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (~(hskp22)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c2_1 (a1691)) -> (~(c1_1 (a1691))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (ndr1_0) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> (~(hskp28)) -> (c2_1 (a1635)) -> (c1_1 (a1635)) -> (c0_1 (a1635)) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> (c3_1 (a1691)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> False). % 1.07/1.26 do 0 intro. intros zenon_H242 zenon_H299 zenon_H26e zenon_H26c zenon_H276 zenon_H19 zenon_H265 zenon_H13c zenon_H13d zenon_H13e zenon_H20f zenon_H211 zenon_H28b zenon_H28a zenon_H289 zenon_H232 zenon_Hc1 zenon_Hc0 zenon_H229 zenon_H228 zenon_H227 zenon_H20 zenon_H1ff zenon_H3f zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H161 zenon_H163 zenon_H162 zenon_Hc2 zenon_Hca. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 1.07/1.26 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H97 | zenon_intro zenon_Hcd ]. % 1.07/1.26 apply (zenon_L383_); trivial. % 1.07/1.26 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H69 | zenon_intro zenon_Ha2 ]. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H127 | zenon_intro zenon_H200 ]. % 1.07/1.26 apply (zenon_L150_); trivial. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H56 | zenon_intro zenon_H40 ]. % 1.07/1.26 apply (zenon_L47_); trivial. % 1.07/1.26 exact (zenon_H3f zenon_H40). % 1.07/1.26 apply (zenon_L49_); trivial. % 1.07/1.26 apply (zenon_L675_); trivial. % 1.07/1.26 (* end of lemma zenon_L696_ *) % 1.07/1.26 assert (zenon_L697_ : ((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> (c1_1 (a1680)) -> (~(c2_1 (a1680))) -> (~(c0_1 (a1680))) -> (c2_1 (a1682)) -> (c1_1 (a1682)) -> (~(c3_1 (a1682))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (c3_1 (a1691)) -> (~(c3_1 (a1642))) -> (c0_1 (a1642)) -> (~(c2_1 (a1642))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> (~(c1_1 (a1691))) -> (c2_1 (a1691)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(hskp22)) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (~(hskp25)) -> (c3_1 (a1637)) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> False). % 1.07/1.26 do 0 intro. intros zenon_Hbd zenon_H61 zenon_H120 zenon_H11f zenon_H11e zenon_H46 zenon_H45 zenon_H44 zenon_H3 zenon_H294 zenon_Hca zenon_Hc2 zenon_H162 zenon_H163 zenon_H161 zenon_H1ff zenon_H227 zenon_H228 zenon_H229 zenon_Hc0 zenon_Hc1 zenon_H232 zenon_H289 zenon_H28a zenon_H28b zenon_H211 zenon_H20f zenon_H13e zenon_H13d zenon_H13c zenon_H265 zenon_H19 zenon_H276 zenon_H26c zenon_H26e zenon_H299 zenon_H242. % 1.07/1.26 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_H20. zenon_intro zenon_Hbe. % 1.07/1.26 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hbf. % 1.07/1.26 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Hb5. zenon_intro zenon_Hb6. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.07/1.26 apply (zenon_L696_); trivial. % 1.07/1.26 apply (zenon_L380_); trivial. % 1.07/1.26 (* end of lemma zenon_L697_ *) % 1.07/1.26 assert (zenon_L698_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(c3_1 (a1642))) -> (c0_1 (a1642)) -> (~(c2_1 (a1642))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> (~(hskp15)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> (c2_1 (a1682)) -> (c1_1 (a1682)) -> (~(c3_1 (a1682))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (~(hskp20)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(c0_1 (a1680))) -> (~(c2_1 (a1680))) -> (c1_1 (a1680)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> False). % 1.07/1.26 do 0 intro. intros zenon_Hce zenon_Hca zenon_H162 zenon_H163 zenon_H161 zenon_H1ff zenon_H34 zenon_H26c zenon_H26e zenon_H276 zenon_H128 zenon_H129 zenon_H12a zenon_H11 zenon_H27b zenon_H61 zenon_H46 zenon_H45 zenon_H44 zenon_H3 zenon_H294 zenon_Hcf zenon_H232 zenon_H265 zenon_H229 zenon_H228 zenon_H227 zenon_H91 zenon_H95 zenon_H289 zenon_H28a zenon_H28b zenon_H211 zenon_H13e zenon_H13d zenon_H13c zenon_H11e zenon_H11f zenon_H120 zenon_H299 zenon_H242 zenon_Hb2 zenon_Hd0 zenon_H2a7 zenon_H222. % 1.07/1.26 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.07/1.26 apply (zenon_L690_); trivial. % 1.07/1.26 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H20. zenon_intro zenon_Hcb. % 1.07/1.26 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc1. zenon_intro zenon_Hcc. % 1.07/1.26 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc2. zenon_intro zenon_Hc0. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 1.07/1.26 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H8f | zenon_intro zenon_Hbd ]. % 1.07/1.26 apply (zenon_L381_); trivial. % 1.07/1.26 apply (zenon_L697_); trivial. % 1.07/1.26 apply (zenon_L532_); trivial. % 1.07/1.26 apply (zenon_L375_); trivial. % 1.07/1.26 (* end of lemma zenon_L698_ *) % 1.07/1.26 assert (zenon_L699_ : ((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> False). % 1.07/1.26 do 0 intro. intros zenon_Hf5 zenon_H222 zenon_H232 zenon_H229 zenon_H228 zenon_H227 zenon_H289 zenon_H28a zenon_H28b zenon_H211 zenon_H13e zenon_H13d zenon_H13c zenon_H2a7 zenon_H276 zenon_H26e zenon_H26c zenon_H299 zenon_H242. % 1.07/1.26 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_H20. zenon_intro zenon_Hf6. % 1.07/1.26 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H79. zenon_intro zenon_Hf7. % 1.07/1.26 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H7a. zenon_intro zenon_H78. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 1.07/1.26 apply (zenon_L256_); trivial. % 1.07/1.26 apply (zenon_L669_); trivial. % 1.07/1.26 apply (zenon_L674_); trivial. % 1.07/1.26 (* end of lemma zenon_L699_ *) % 1.07/1.26 assert (zenon_L700_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> (~(hskp10)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (ndr1_0) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> False). % 1.07/1.26 do 0 intro. intros zenon_H159 zenon_Hf0 zenon_H222 zenon_H232 zenon_H289 zenon_H28a zenon_H28b zenon_H211 zenon_H2a7 zenon_H299 zenon_H242 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H189 zenon_H1d1 zenon_H20 zenon_H227 zenon_H228 zenon_H229 zenon_H26c zenon_H26e zenon_H276 zenon_H259. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.07/1.26 apply (zenon_L345_); trivial. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.07/1.26 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 1.07/1.26 apply (zenon_L159_); trivial. % 1.07/1.26 apply (zenon_L699_); trivial. % 1.07/1.26 (* end of lemma zenon_L700_ *) % 1.07/1.26 assert (zenon_L701_ : ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c3_1 (a1648))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (~(hskp12)) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((hskp0)\/(hskp28))) -> (~(hskp0)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> False). % 1.07/1.26 do 0 intro. intros zenon_H222 zenon_H299 zenon_H26c zenon_H26e zenon_H276 zenon_H2a7 zenon_H28b zenon_H28a zenon_H289 zenon_H34 zenon_H242 zenon_H1c6 zenon_H1a4 zenon_H13c zenon_H13d zenon_H13e zenon_H211 zenon_H227 zenon_H228 zenon_H229 zenon_H233 zenon_H192 zenon_H191 zenon_H232 zenon_H17 zenon_H1d zenon_H41 zenon_H1 zenon_H1ed zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H5a zenon_H61 zenon_H65. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.07/1.26 apply (zenon_L307_); trivial. % 1.07/1.26 apply (zenon_L674_); trivial. % 1.07/1.26 (* end of lemma zenon_L701_ *) % 1.07/1.26 assert (zenon_L702_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (~(hskp24)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (ndr1_0) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(hskp22)) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (~(hskp25)) -> (c3_1 (a1637)) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> False). % 1.07/1.26 do 0 intro. intros zenon_H61 zenon_H2a7 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1ed zenon_H233 zenon_H1b zenon_H232 zenon_H128 zenon_H129 zenon_H12a zenon_H191 zenon_H192 zenon_H1ff zenon_H229 zenon_H228 zenon_H227 zenon_H20 zenon_H289 zenon_H28a zenon_H28b zenon_H211 zenon_H20f zenon_H13e zenon_H13d zenon_H13c zenon_H265 zenon_H19 zenon_H276 zenon_H26c zenon_H26e zenon_H299 zenon_H242. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.07/1.26 apply (zenon_L677_); trivial. % 1.07/1.26 apply (zenon_L522_); trivial. % 1.07/1.26 (* end of lemma zenon_L702_ *) % 1.07/1.26 assert (zenon_L703_ : (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3)))))) -> (ndr1_0) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> False). % 1.07/1.26 do 0 intro. intros zenon_H2af zenon_H20 zenon_H2b0 zenon_H2b1 zenon_H2b2. % 1.07/1.26 generalize (zenon_H2af (a1634)). zenon_intro zenon_H2b3. % 1.07/1.26 apply (zenon_imply_s _ _ zenon_H2b3); [ zenon_intro zenon_H1f | zenon_intro zenon_H2b4 ]. % 1.07/1.26 exact (zenon_H1f zenon_H20). % 1.07/1.26 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H2b6 | zenon_intro zenon_H2b5 ]. % 1.07/1.26 exact (zenon_H2b0 zenon_H2b6). % 1.07/1.26 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H2b8 | zenon_intro zenon_H2b7 ]. % 1.07/1.26 exact (zenon_H2b8 zenon_H2b1). % 1.07/1.26 exact (zenon_H2b7 zenon_H2b2). % 1.07/1.26 (* end of lemma zenon_L703_ *) % 1.07/1.26 assert (zenon_L704_ : ((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> False). % 1.07/1.26 do 0 intro. intros zenon_H64 zenon_H2b9 zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_H2b2 zenon_H2b1 zenon_H2b0. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H20. zenon_intro zenon_H66. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H45. zenon_intro zenon_H67. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H46. zenon_intro zenon_H44. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H2ba ]. % 1.07/1.26 apply (zenon_L52_); trivial. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H2af | zenon_intro zenon_H43 ]. % 1.07/1.26 apply (zenon_L703_); trivial. % 1.07/1.26 apply (zenon_L25_); trivial. % 1.07/1.26 (* end of lemma zenon_L704_ *) % 1.07/1.26 assert (zenon_L705_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp11))) -> (~(hskp11)) -> (~(hskp7)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> (~(c0_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c3_1 (a1644))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> False). % 1.07/1.26 do 0 intro. intros zenon_H68 zenon_H2b9 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_Hce zenon_H61 zenon_H172 zenon_H2d zenon_H9 zenon_H95 zenon_Hb2 zenon_H170 zenon_Hcf zenon_Hd0 zenon_Hd5 zenon_Hd6 zenon_Hd7 zenon_He8 zenon_Heb zenon_Hf2. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.07/1.26 apply (zenon_L309_); trivial. % 1.07/1.26 apply (zenon_L704_); trivial. % 1.07/1.26 (* end of lemma zenon_L705_ *) % 1.07/1.26 assert (zenon_L706_ : ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp12)) -> False). % 1.07/1.26 do 0 intro. intros zenon_H2bb zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H20 zenon_H230 zenon_H17. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H2af | zenon_intro zenon_H2bc ]. % 1.07/1.26 apply (zenon_L703_); trivial. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H2bc); [ zenon_intro zenon_H231 | zenon_intro zenon_H18 ]. % 1.07/1.26 exact (zenon_H230 zenon_H231). % 1.07/1.26 exact (zenon_H17 zenon_H18). % 1.07/1.26 (* end of lemma zenon_L706_ *) % 1.07/1.26 assert (zenon_L707_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> (~(hskp15)) -> (~(hskp1)) -> ((hskp15)\/((hskp19)\/(hskp1))) -> False). % 1.07/1.26 do 0 intro. intros zenon_H68 zenon_H2b9 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_H11 zenon_H5 zenon_H15. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.07/1.26 apply (zenon_L11_); trivial. % 1.07/1.26 apply (zenon_L704_); trivial. % 1.07/1.26 (* end of lemma zenon_L707_ *) % 1.07/1.26 assert (zenon_L708_ : ((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> ((hskp15)\/((hskp19)\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> False). % 1.07/1.26 do 0 intro. intros zenon_H15d zenon_H118 zenon_H1ab zenon_H13e zenon_H13d zenon_H13c zenon_H15 zenon_H5 zenon_Hd5 zenon_Hd6 zenon_Hd7 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2b9 zenon_H68. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 1.07/1.26 apply (zenon_L707_); trivial. % 1.07/1.26 apply (zenon_L136_); trivial. % 1.07/1.26 (* end of lemma zenon_L708_ *) % 1.07/1.26 assert (zenon_L709_ : ((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((hskp15)\/((hskp19)\/(hskp1))) -> (~(c0_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c3_1 (a1644))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> False). % 1.07/1.26 do 0 intro. intros zenon_H155 zenon_H15a zenon_H118 zenon_H1ab zenon_H15 zenon_Hd5 zenon_Hd6 zenon_Hd7 zenon_H2b9 zenon_H68 zenon_H242 zenon_H1bc zenon_H5 zenon_H189 zenon_H211 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2bb zenon_H222. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 1.07/1.26 apply (zenon_L706_); trivial. % 1.07/1.26 apply (zenon_L263_); trivial. % 1.07/1.26 apply (zenon_L258_); trivial. % 1.07/1.26 apply (zenon_L708_); trivial. % 1.07/1.26 (* end of lemma zenon_L709_ *) % 1.07/1.26 assert (zenon_L710_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((hskp15)\/((hskp19)\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(hskp7)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> False). % 1.07/1.26 do 0 intro. intros zenon_H159 zenon_H15a zenon_H118 zenon_H1ab zenon_H15 zenon_H242 zenon_H1bc zenon_H5 zenon_H189 zenon_H211 zenon_H2bb zenon_H222 zenon_Hf2 zenon_Heb zenon_He8 zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_Hd0 zenon_Hcf zenon_H170 zenon_Hb2 zenon_H95 zenon_H9 zenon_H172 zenon_H61 zenon_Hce zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2b9 zenon_H68. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.07/1.26 apply (zenon_L705_); trivial. % 1.07/1.26 apply (zenon_L709_); trivial. % 1.07/1.26 (* end of lemma zenon_L710_ *) % 1.07/1.26 assert (zenon_L711_ : (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))) -> (ndr1_0) -> (c0_1 (a1634)) -> (c2_1 (a1634)) -> (c3_1 (a1634)) -> False). % 1.07/1.26 do 0 intro. intros zenon_H244 zenon_H20 zenon_H2b1 zenon_H2bd zenon_H2b2. % 1.07/1.26 generalize (zenon_H244 (a1634)). zenon_intro zenon_H2be. % 1.07/1.26 apply (zenon_imply_s _ _ zenon_H2be); [ zenon_intro zenon_H1f | zenon_intro zenon_H2bf ]. % 1.07/1.26 exact (zenon_H1f zenon_H20). % 1.07/1.26 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2b8 | zenon_intro zenon_H2c0 ]. % 1.07/1.26 exact (zenon_H2b8 zenon_H2b1). % 1.07/1.26 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_H2c1 | zenon_intro zenon_H2b7 ]. % 1.07/1.26 exact (zenon_H2c1 zenon_H2bd). % 1.07/1.26 exact (zenon_H2b7 zenon_H2b2). % 1.07/1.26 (* end of lemma zenon_L711_ *) % 1.07/1.26 assert (zenon_L712_ : (forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67)))))) -> (ndr1_0) -> (~(c1_1 (a1634))) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> False). % 1.07/1.26 do 0 intro. intros zenon_H1c8 zenon_H20 zenon_H2b0 zenon_H244 zenon_H2b1 zenon_H2b2. % 1.07/1.26 generalize (zenon_H1c8 (a1634)). zenon_intro zenon_H2c2. % 1.07/1.26 apply (zenon_imply_s _ _ zenon_H2c2); [ zenon_intro zenon_H1f | zenon_intro zenon_H2c3 ]. % 1.07/1.26 exact (zenon_H1f zenon_H20). % 1.07/1.26 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2b6 | zenon_intro zenon_H2c4 ]. % 1.07/1.26 exact (zenon_H2b0 zenon_H2b6). % 1.07/1.26 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H2bd | zenon_intro zenon_H2b7 ]. % 1.07/1.26 apply (zenon_L711_); trivial. % 1.07/1.26 exact (zenon_H2b7 zenon_H2b2). % 1.07/1.26 (* end of lemma zenon_L712_ *) % 1.07/1.26 assert (zenon_L713_ : ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))) -> (~(c1_1 (a1634))) -> (c2_1 (a1646)) -> (c1_1 (a1646)) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16)))))) -> (ndr1_0) -> (c0_1 (a1647)) -> (c1_1 (a1647)) -> (c3_1 (a1647)) -> False). % 1.07/1.26 do 0 intro. intros zenon_H1ed zenon_H2b2 zenon_H2b1 zenon_H244 zenon_H2b0 zenon_H4f zenon_H4e zenon_H21 zenon_H20 zenon_H236 zenon_H237 zenon_H238. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1ee ]. % 1.07/1.26 apply (zenon_L712_); trivial. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H56 | zenon_intro zenon_H1e9 ]. % 1.07/1.26 apply (zenon_L27_); trivial. % 1.07/1.26 apply (zenon_L230_); trivial. % 1.07/1.26 (* end of lemma zenon_L713_ *) % 1.07/1.26 assert (zenon_L714_ : ((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c2_1 (a1646)) -> (c1_1 (a1646)) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a1701)) -> (~(c1_1 (a1701))) -> (~(c0_1 (a1701))) -> False). % 1.07/1.26 do 0 intro. intros zenon_H23f zenon_H5a zenon_H1a4 zenon_H191 zenon_H192 zenon_H1ed zenon_H4f zenon_H4e zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H2c5 zenon_H38 zenon_H37 zenon_H36. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H20. zenon_intro zenon_H240. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H236. zenon_intro zenon_H241. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H237. zenon_intro zenon_H238. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H21 ]. % 1.07/1.26 apply (zenon_L22_); trivial. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H35 | zenon_intro zenon_H2c6 ]. % 1.07/1.26 apply (zenon_L22_); trivial. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H244 ]. % 1.07/1.26 apply (zenon_L191_); trivial. % 1.07/1.26 apply (zenon_L713_); trivial. % 1.07/1.26 (* end of lemma zenon_L714_ *) % 1.07/1.26 assert (zenon_L715_ : ((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a1701)) -> (~(c1_1 (a1701))) -> (~(c0_1 (a1701))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (~(hskp12)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> False). % 1.07/1.26 do 0 intro. intros zenon_H59 zenon_H242 zenon_H5a zenon_H1a4 zenon_H191 zenon_H192 zenon_H1ed zenon_H2c5 zenon_H38 zenon_H37 zenon_H36 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H17 zenon_H2bb. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 1.07/1.26 apply (zenon_L706_); trivial. % 1.07/1.26 apply (zenon_L714_); trivial. % 1.07/1.26 (* end of lemma zenon_L715_ *) % 1.07/1.26 assert (zenon_L716_ : ((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(hskp21)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(hskp20)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> (~(hskp12)) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> False). % 1.07/1.26 do 0 intro. intros zenon_H60 zenon_Hd0 zenon_Hcf zenon_H170 zenon_H13 zenon_Hb0 zenon_Hb2 zenon_H91 zenon_H95 zenon_H2bb zenon_H17 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H2c5 zenon_H1ed zenon_H192 zenon_H191 zenon_H1a4 zenon_H5a zenon_H242 zenon_H61. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H20. zenon_intro zenon_H62. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H38. zenon_intro zenon_H63. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H36. zenon_intro zenon_H37. % 1.07/1.26 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H8f | zenon_intro zenon_Hbd ]. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.07/1.26 apply (zenon_L89_); trivial. % 1.07/1.26 apply (zenon_L715_); trivial. % 1.07/1.26 apply (zenon_L48_); trivial. % 1.07/1.26 (* end of lemma zenon_L716_ *) % 1.07/1.26 assert (zenon_L717_ : ((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (~(hskp12)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> (~(c1_1 (a1691))) -> (c2_1 (a1691)) -> (c3_1 (a1691)) -> (~(hskp19)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> False). % 1.07/1.26 do 0 intro. intros zenon_H60 zenon_H61 zenon_H242 zenon_H5a zenon_H1a4 zenon_H191 zenon_H192 zenon_H1ed zenon_H2c5 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H17 zenon_H2bb zenon_Hc0 zenon_Hc1 zenon_Hc2 zenon_H13 zenon_H170. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H20. zenon_intro zenon_H62. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H38. zenon_intro zenon_H63. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H36. zenon_intro zenon_H37. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.07/1.26 apply (zenon_L91_); trivial. % 1.07/1.26 apply (zenon_L715_); trivial. % 1.07/1.26 (* end of lemma zenon_L717_ *) % 1.07/1.26 assert (zenon_L718_ : ((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> (~(hskp19)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> (~(hskp12)) -> (~(hskp5)) -> ((hskp12)\/((hskp5)\/(hskp24))) -> False). % 1.07/1.26 do 0 intro. intros zenon_Hc9 zenon_H65 zenon_H61 zenon_H242 zenon_H5a zenon_H1a4 zenon_H191 zenon_H192 zenon_H1ed zenon_H2c5 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2bb zenon_H13 zenon_H170 zenon_H17 zenon_H3 zenon_H2a0. % 1.07/1.26 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H20. zenon_intro zenon_Hcb. % 1.07/1.26 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc1. zenon_intro zenon_Hcc. % 1.07/1.26 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc2. zenon_intro zenon_Hc0. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.07/1.26 apply (zenon_L400_); trivial. % 1.07/1.26 apply (zenon_L717_); trivial. % 1.07/1.26 (* end of lemma zenon_L718_ *) % 1.07/1.26 assert (zenon_L719_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((hskp12)\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (~(hskp12)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(hskp20)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(hskp19)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> False). % 1.07/1.26 do 0 intro. intros zenon_Hce zenon_H2a0 zenon_H3 zenon_H17 zenon_H61 zenon_H242 zenon_H5a zenon_H1a4 zenon_H191 zenon_H192 zenon_H1ed zenon_H2c5 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2bb zenon_H95 zenon_H91 zenon_Hb2 zenon_H13 zenon_H170 zenon_Hcf zenon_Hd0 zenon_H65. % 1.07/1.26 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.07/1.26 apply (zenon_L400_); trivial. % 1.07/1.26 apply (zenon_L716_); trivial. % 1.07/1.26 apply (zenon_L718_); trivial. % 1.07/1.26 (* end of lemma zenon_L719_ *) % 1.07/1.26 assert (zenon_L720_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(hskp22)) -> (c2_1 (a1682)) -> (c1_1 (a1682)) -> (~(c3_1 (a1682))) -> (ndr1_0) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (~(hskp12)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> False). % 1.07/1.26 do 0 intro. intros zenon_H242 zenon_H211 zenon_H20f zenon_H46 zenon_H45 zenon_H44 zenon_H20 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H17 zenon_H2bb. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 1.07/1.26 apply (zenon_L706_); trivial. % 1.07/1.26 apply (zenon_L231_); trivial. % 1.07/1.26 (* end of lemma zenon_L720_ *) % 1.07/1.26 assert (zenon_L721_ : (forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))) -> (ndr1_0) -> (~(c1_1 (a1634))) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> False). % 1.07/1.26 do 0 intro. intros zenon_H69 zenon_H20 zenon_H2b0 zenon_H244 zenon_H2b1 zenon_H2b2. % 1.07/1.26 generalize (zenon_H69 (a1634)). zenon_intro zenon_H2c7. % 1.07/1.26 apply (zenon_imply_s _ _ zenon_H2c7); [ zenon_intro zenon_H1f | zenon_intro zenon_H2c8 ]. % 1.07/1.26 exact (zenon_H1f zenon_H20). % 1.07/1.26 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H2b6 | zenon_intro zenon_H2c9 ]. % 1.07/1.26 exact (zenon_H2b0 zenon_H2b6). % 1.07/1.26 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H2bd | zenon_intro zenon_H2b8 ]. % 1.07/1.26 apply (zenon_L711_); trivial. % 1.07/1.26 exact (zenon_H2b8 zenon_H2b1). % 1.07/1.26 (* end of lemma zenon_L721_ *) % 1.07/1.26 assert (zenon_L722_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp29))) -> (~(c3_1 (a1697))) -> (~(c2_1 (a1697))) -> (~(c0_1 (a1697))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))) -> (~(c1_1 (a1634))) -> (ndr1_0) -> (~(hskp29)) -> False). % 1.07/1.26 do 0 intro. intros zenon_H25d zenon_H218 zenon_H217 zenon_H216 zenon_H2b2 zenon_H2b1 zenon_H244 zenon_H2b0 zenon_H20 zenon_H230. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H1ae | zenon_intro zenon_H25e ]. % 1.07/1.26 apply (zenon_L194_); trivial. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H69 | zenon_intro zenon_H231 ]. % 1.07/1.26 apply (zenon_L721_); trivial. % 1.07/1.26 exact (zenon_H230 zenon_H231). % 1.07/1.26 (* end of lemma zenon_L722_ *) % 1.07/1.26 assert (zenon_L723_ : ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a1701)) -> (~(c1_1 (a1701))) -> (~(c0_1 (a1701))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp29))) -> (~(c3_1 (a1697))) -> (~(c2_1 (a1697))) -> (~(c0_1 (a1697))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (ndr1_0) -> (~(hskp29)) -> False). % 1.07/1.26 do 0 intro. intros zenon_H2c5 zenon_H38 zenon_H37 zenon_H36 zenon_H192 zenon_H191 zenon_H1a4 zenon_H25d zenon_H218 zenon_H217 zenon_H216 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H20 zenon_H230. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H35 | zenon_intro zenon_H2c6 ]. % 1.07/1.26 apply (zenon_L22_); trivial. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H244 ]. % 1.07/1.26 apply (zenon_L191_); trivial. % 1.07/1.26 apply (zenon_L722_); trivial. % 1.07/1.26 (* end of lemma zenon_L723_ *) % 1.07/1.26 assert (zenon_L724_ : (forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75)))))) -> (ndr1_0) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> False). % 1.07/1.26 do 0 intro. intros zenon_H81 zenon_H20 zenon_H244 zenon_H2b1 zenon_H2b2. % 1.07/1.26 generalize (zenon_H81 (a1634)). zenon_intro zenon_H2ca. % 1.07/1.26 apply (zenon_imply_s _ _ zenon_H2ca); [ zenon_intro zenon_H1f | zenon_intro zenon_H2cb ]. % 1.07/1.26 exact (zenon_H1f zenon_H20). % 1.07/1.26 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H2bd | zenon_intro zenon_H2b5 ]. % 1.07/1.26 apply (zenon_L711_); trivial. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H2b8 | zenon_intro zenon_H2b7 ]. % 1.07/1.26 exact (zenon_H2b8 zenon_H2b1). % 1.07/1.26 exact (zenon_H2b7 zenon_H2b2). % 1.07/1.26 (* end of lemma zenon_L724_ *) % 1.07/1.26 assert (zenon_L725_ : ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22)))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))) -> (ndr1_0) -> (~(hskp2)) -> False). % 1.07/1.26 do 0 intro. intros zenon_H19f zenon_H192 zenon_H191 zenon_H56 zenon_H2b2 zenon_H2b1 zenon_H244 zenon_H20 zenon_H19d. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H77 | zenon_intro zenon_H1a0 ]. % 1.07/1.26 apply (zenon_L111_); trivial. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H81 | zenon_intro zenon_H19e ]. % 1.07/1.26 apply (zenon_L724_); trivial. % 1.07/1.26 exact (zenon_H19d zenon_H19e). % 1.07/1.26 (* end of lemma zenon_L725_ *) % 1.07/1.26 assert (zenon_L726_ : ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(c1_1 (a1634))) -> (~(hskp2)) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (ndr1_0) -> (c0_1 (a1647)) -> (c1_1 (a1647)) -> (c3_1 (a1647)) -> False). % 1.07/1.26 do 0 intro. intros zenon_H1ed zenon_H2b0 zenon_H19d zenon_H244 zenon_H2b1 zenon_H2b2 zenon_H191 zenon_H192 zenon_H19f zenon_H20 zenon_H236 zenon_H237 zenon_H238. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1ee ]. % 1.07/1.26 apply (zenon_L712_); trivial. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H56 | zenon_intro zenon_H1e9 ]. % 1.07/1.26 apply (zenon_L725_); trivial. % 1.07/1.26 apply (zenon_L230_); trivial. % 1.07/1.26 (* end of lemma zenon_L726_ *) % 1.07/1.26 assert (zenon_L727_ : ((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp29))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (~(c3_1 (a1697))) -> (~(c2_1 (a1697))) -> (~(c0_1 (a1697))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> False). % 1.07/1.26 do 0 intro. intros zenon_H60 zenon_H242 zenon_H19f zenon_H19d zenon_H1ed zenon_H1a4 zenon_H191 zenon_H192 zenon_H25d zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H218 zenon_H217 zenon_H216 zenon_H2c5. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H20. zenon_intro zenon_H62. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H38. zenon_intro zenon_H63. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H36. zenon_intro zenon_H37. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 1.07/1.26 apply (zenon_L723_); trivial. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H20. zenon_intro zenon_H240. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H236. zenon_intro zenon_H241. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H237. zenon_intro zenon_H238. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H35 | zenon_intro zenon_H2c6 ]. % 1.07/1.26 apply (zenon_L22_); trivial. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H244 ]. % 1.07/1.26 apply (zenon_L191_); trivial. % 1.07/1.26 apply (zenon_L726_); trivial. % 1.07/1.26 (* end of lemma zenon_L727_ *) % 1.07/1.26 assert (zenon_L728_ : ((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp29))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(hskp12)) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> False). % 1.07/1.26 do 0 intro. intros zenon_H21f zenon_H65 zenon_H242 zenon_H19f zenon_H19d zenon_H1ed zenon_H25d zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H2c5 zenon_H1d zenon_H17 zenon_H1a4 zenon_H191 zenon_H192 zenon_H1c6 zenon_H34. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H20. zenon_intro zenon_H220. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H216. zenon_intro zenon_H221. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H217. zenon_intro zenon_H218. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.07/1.26 apply (zenon_L196_); trivial. % 1.07/1.26 apply (zenon_L727_); trivial. % 1.07/1.26 (* end of lemma zenon_L728_ *) % 1.07/1.26 assert (zenon_L729_ : ((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp29))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> (~(hskp12)) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> False). % 1.07/1.26 do 0 intro. intros zenon_H64 zenon_H222 zenon_H65 zenon_H19f zenon_H19d zenon_H1ed zenon_H25d zenon_H2c5 zenon_H1d zenon_H1a4 zenon_H191 zenon_H192 zenon_H1c6 zenon_H34 zenon_H2bb zenon_H17 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H211 zenon_H242. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H20. zenon_intro zenon_H66. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H45. zenon_intro zenon_H67. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H46. zenon_intro zenon_H44. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.07/1.26 apply (zenon_L720_); trivial. % 1.07/1.26 apply (zenon_L728_); trivial. % 1.07/1.26 (* end of lemma zenon_L729_ *) % 1.07/1.26 assert (zenon_L730_ : ((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((hskp15)\/((hskp19)\/(hskp1))) -> (~(hskp1)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> (~(hskp5)) -> ((hskp12)\/((hskp5)\/(hskp24))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp29))) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> False). % 1.07/1.26 do 0 intro. intros zenon_H155 zenon_H15a zenon_H118 zenon_H1ab zenon_H15 zenon_H5 zenon_H2b9 zenon_Hf2 zenon_Heb zenon_He8 zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_H65 zenon_Hd0 zenon_Hcf zenon_H170 zenon_Hb2 zenon_H95 zenon_H2bb zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H2c5 zenon_H1ed zenon_H192 zenon_H191 zenon_H1a4 zenon_H5a zenon_H242 zenon_H61 zenon_H3 zenon_H2a0 zenon_Hce zenon_H211 zenon_H34 zenon_H1c6 zenon_H1d zenon_H25d zenon_H19d zenon_H19f zenon_H222 zenon_H68. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.07/1.26 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 1.07/1.26 apply (zenon_L719_); trivial. % 1.07/1.26 apply (zenon_L55_); trivial. % 1.07/1.26 apply (zenon_L729_); trivial. % 1.07/1.26 apply (zenon_L708_); trivial. % 1.07/1.26 (* end of lemma zenon_L730_ *) % 1.07/1.26 assert (zenon_L731_ : ((ndr1_0)/\((c0_1 (a1648))/\((c2_1 (a1648))/\(~(c3_1 (a1648)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((hskp15)\/((hskp19)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> (~(hskp5)) -> ((hskp12)\/((hskp5)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp29))) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(hskp7)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> False). % 1.07/1.26 do 0 intro. intros zenon_H1a1 zenon_H159 zenon_H15a zenon_H118 zenon_H1ab zenon_H15 zenon_H5 zenon_H65 zenon_H2bb zenon_H2c5 zenon_H1ed zenon_H5a zenon_H242 zenon_H3 zenon_H2a0 zenon_H211 zenon_H34 zenon_H1c6 zenon_H1d zenon_H25d zenon_H19d zenon_H19f zenon_H222 zenon_Hf2 zenon_Heb zenon_He8 zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_Hd0 zenon_Hcf zenon_H170 zenon_Hb2 zenon_H95 zenon_H9 zenon_H172 zenon_H61 zenon_Hce zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2b9 zenon_H68. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.07/1.26 apply (zenon_L705_); trivial. % 1.07/1.26 apply (zenon_L730_); trivial. % 1.07/1.26 (* end of lemma zenon_L731_ *) % 1.07/1.26 assert (zenon_L732_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c2_1 (a1675)) -> (~(c1_1 (a1675))) -> (~(c0_1 (a1675))) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> (forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))) -> (ndr1_0) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> False). % 1.07/1.26 do 0 intro. intros zenon_H24f zenon_H9a zenon_H99 zenon_H98 zenon_H161 zenon_H163 zenon_H162 zenon_H69 zenon_H20 zenon_H2b0 zenon_H2b1 zenon_H2b2. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H97 | zenon_intro zenon_H250 ]. % 1.07/1.26 apply (zenon_L43_); trivial. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H127 | zenon_intro zenon_H244 ]. % 1.07/1.26 apply (zenon_L150_); trivial. % 1.07/1.26 apply (zenon_L721_); trivial. % 1.11/1.27 (* end of lemma zenon_L732_ *) % 1.11/1.27 assert (zenon_L733_ : ((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (~(c3_1 (a1642))) -> (c0_1 (a1642)) -> (~(c2_1 (a1642))) -> (~(c0_1 (a1675))) -> (~(c1_1 (a1675))) -> (c2_1 (a1675)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_Hc9 zenon_Hca zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H162 zenon_H163 zenon_H161 zenon_H98 zenon_H99 zenon_H9a zenon_H24f. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H20. zenon_intro zenon_Hcb. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc1. zenon_intro zenon_Hcc. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc2. zenon_intro zenon_Hc0. % 1.11/1.27 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H97 | zenon_intro zenon_Hcd ]. % 1.11/1.27 apply (zenon_L43_); trivial. % 1.11/1.27 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H69 | zenon_intro zenon_Ha2 ]. % 1.11/1.27 apply (zenon_L732_); trivial. % 1.11/1.27 apply (zenon_L49_); trivial. % 1.11/1.27 (* end of lemma zenon_L733_ *) % 1.11/1.27 assert (zenon_L734_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(c3_1 (a1642))) -> (c0_1 (a1642)) -> (~(c2_1 (a1642))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c2_1 (a1675)) -> (~(c1_1 (a1675))) -> (~(c0_1 (a1675))) -> (~(hskp19)) -> (~(hskp6)) -> ((hskp19)\/((hskp21)\/(hskp6))) -> False). % 1.11/1.27 do 0 intro. intros zenon_Hce zenon_Hca zenon_H162 zenon_H163 zenon_H161 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H24f zenon_H9a zenon_H99 zenon_H98 zenon_H13 zenon_Hb zenon_H16e. % 1.11/1.27 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.11/1.27 apply (zenon_L85_); trivial. % 1.11/1.27 apply (zenon_L733_); trivial. % 1.11/1.27 (* end of lemma zenon_L734_ *) % 1.11/1.27 assert (zenon_L735_ : ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp9))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp9)) -> False). % 1.11/1.27 do 0 intro. intros zenon_H2cc zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H20 zenon_H230 zenon_Hd. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2af | zenon_intro zenon_H2cd ]. % 1.11/1.27 apply (zenon_L703_); trivial. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H231 | zenon_intro zenon_He ]. % 1.11/1.27 exact (zenon_H230 zenon_H231). % 1.11/1.27 exact (zenon_Hd zenon_He). % 1.11/1.27 (* end of lemma zenon_L735_ *) % 1.11/1.27 assert (zenon_L736_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(hskp22)) -> (c2_1 (a1682)) -> (c1_1 (a1682)) -> (~(c3_1 (a1682))) -> (ndr1_0) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (~(hskp9)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp9))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H242 zenon_H211 zenon_H20f zenon_H46 zenon_H45 zenon_H44 zenon_H20 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_Hd zenon_H2cc. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 1.11/1.27 apply (zenon_L735_); trivial. % 1.11/1.27 apply (zenon_L231_); trivial. % 1.11/1.27 (* end of lemma zenon_L736_ *) % 1.11/1.27 assert (zenon_L737_ : ((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H64 zenon_H222 zenon_H1bc zenon_H5 zenon_H189 zenon_H2cc zenon_Hd zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H211 zenon_H242. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H20. zenon_intro zenon_H66. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H45. zenon_intro zenon_H67. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H46. zenon_intro zenon_H44. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.11/1.27 apply (zenon_L736_); trivial. % 1.11/1.27 apply (zenon_L258_); trivial. % 1.11/1.27 (* end of lemma zenon_L737_ *) % 1.11/1.27 assert (zenon_L738_ : ((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((hskp19)\/((hskp21)\/(hskp6))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_Hf8 zenon_H68 zenon_H222 zenon_H1bc zenon_H5 zenon_H189 zenon_H2cc zenon_Hd zenon_H211 zenon_H242 zenon_H16e zenon_Hb zenon_H24f zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H161 zenon_H163 zenon_H162 zenon_Hca zenon_Hce. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_H20. zenon_intro zenon_Hf9. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H9a. zenon_intro zenon_Hfa. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_H98. zenon_intro zenon_H99. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.11/1.27 apply (zenon_L734_); trivial. % 1.11/1.27 apply (zenon_L737_); trivial. % 1.11/1.27 (* end of lemma zenon_L738_ *) % 1.11/1.27 assert (zenon_L739_ : ((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(hskp10)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp10)\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H155 zenon_H222 zenon_H2cc zenon_Hd zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H211 zenon_H189 zenon_H5 zenon_H1bc zenon_H242. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 1.11/1.27 apply (zenon_L735_); trivial. % 1.11/1.27 apply (zenon_L263_); trivial. % 1.11/1.27 apply (zenon_L258_); trivial. % 1.11/1.27 (* end of lemma zenon_L739_ *) % 1.11/1.27 assert (zenon_L740_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp29))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((hskp19)\/((hskp21)\/(hskp6))) -> (~(hskp6)) -> ((hskp12)\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (~(hskp12)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H68 zenon_H222 zenon_H19f zenon_H19d zenon_H25d zenon_H1d zenon_H1c6 zenon_H34 zenon_H211 zenon_H16e zenon_Hb zenon_H2a0 zenon_H3 zenon_H17 zenon_H170 zenon_H2bb zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H2c5 zenon_H1ed zenon_H192 zenon_H191 zenon_H1a4 zenon_H5a zenon_H242 zenon_H61 zenon_H65 zenon_Hce. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.11/1.27 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.11/1.27 apply (zenon_L85_); trivial. % 1.11/1.27 apply (zenon_L718_); trivial. % 1.11/1.27 apply (zenon_L729_); trivial. % 1.11/1.27 (* end of lemma zenon_L740_ *) % 1.11/1.27 assert (zenon_L741_ : ((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c2_1 (a1675)) -> (~(c1_1 (a1675))) -> (~(c0_1 (a1675))) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(c1_1 (a1634))) -> (~(hskp2)) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H23f zenon_H24f zenon_H9a zenon_H99 zenon_H98 zenon_H12a zenon_H129 zenon_H128 zenon_H1ed zenon_H2b0 zenon_H19d zenon_H2b1 zenon_H2b2 zenon_H191 zenon_H192 zenon_H19f. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H20. zenon_intro zenon_H240. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H236. zenon_intro zenon_H241. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H237. zenon_intro zenon_H238. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H97 | zenon_intro zenon_H250 ]. % 1.11/1.27 apply (zenon_L43_); trivial. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H127 | zenon_intro zenon_H244 ]. % 1.11/1.27 apply (zenon_L69_); trivial. % 1.11/1.27 apply (zenon_L726_); trivial. % 1.11/1.27 (* end of lemma zenon_L741_ *) % 1.11/1.27 assert (zenon_L742_ : ((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (~(hskp9)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp9))) -> False). % 1.11/1.27 do 0 intro. intros zenon_Hf8 zenon_H242 zenon_H24f zenon_H19f zenon_H19d zenon_H192 zenon_H191 zenon_H1ed zenon_H12a zenon_H129 zenon_H128 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_Hd zenon_H2cc. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_H20. zenon_intro zenon_Hf9. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H9a. zenon_intro zenon_Hfa. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_H98. zenon_intro zenon_H99. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 1.11/1.27 apply (zenon_L735_); trivial. % 1.11/1.27 apply (zenon_L741_); trivial. % 1.11/1.27 (* end of lemma zenon_L742_ *) % 1.11/1.27 assert (zenon_L743_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> (~(hskp17)) -> ((hskp25)\/((hskp17)\/(hskp1))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> (~(hskp15)) -> (~(hskp1)) -> ((hskp15)\/((hskp19)\/(hskp1))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H68 zenon_H222 zenon_H34 zenon_H1c6 zenon_H192 zenon_H191 zenon_H1a4 zenon_H8b zenon_H243 zenon_H2cc zenon_Hd zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H211 zenon_H242 zenon_H11 zenon_H5 zenon_H15. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.11/1.27 apply (zenon_L11_); trivial. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H20. zenon_intro zenon_H66. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H45. zenon_intro zenon_H67. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H46. zenon_intro zenon_H44. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.11/1.27 apply (zenon_L736_); trivial. % 1.11/1.27 apply (zenon_L234_); trivial. % 1.11/1.27 (* end of lemma zenon_L743_ *) % 1.11/1.27 assert (zenon_L744_ : ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))) -> (~(c1_1 (a1634))) -> (ndr1_0) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> False). % 1.11/1.27 do 0 intro. intros zenon_H1ab zenon_H13e zenon_H13d zenon_H13c zenon_H2b2 zenon_H2b1 zenon_H244 zenon_H2b0 zenon_H20 zenon_H128 zenon_H129 zenon_H12a. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H13b | zenon_intro zenon_H1ac ]. % 1.11/1.27 apply (zenon_L74_); trivial. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H69 | zenon_intro zenon_H127 ]. % 1.11/1.27 apply (zenon_L721_); trivial. % 1.11/1.27 apply (zenon_L69_); trivial. % 1.11/1.27 (* end of lemma zenon_L744_ *) % 1.11/1.27 assert (zenon_L745_ : ((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> False). % 1.11/1.27 do 0 intro. intros zenon_Hf8 zenon_H24f zenon_H1ab zenon_H13e zenon_H13d zenon_H13c zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H128 zenon_H129 zenon_H12a. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_H20. zenon_intro zenon_Hf9. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H9a. zenon_intro zenon_Hfa. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_H98. zenon_intro zenon_H99. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H97 | zenon_intro zenon_H250 ]. % 1.11/1.27 apply (zenon_L43_); trivial. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H127 | zenon_intro zenon_H244 ]. % 1.11/1.27 apply (zenon_L69_); trivial. % 1.11/1.27 apply (zenon_L744_); trivial. % 1.11/1.27 (* end of lemma zenon_L745_ *) % 1.11/1.27 assert (zenon_L746_ : ((ndr1_0)/\((c0_1 (a1648))/\((c2_1 (a1648))/\(~(c3_1 (a1648)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((hskp25)\/((hskp17)\/(hskp1))) -> ((hskp15)\/((hskp19)\/(hskp1))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp29))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((hskp19)\/((hskp21)\/(hskp6))) -> (~(hskp6)) -> ((hskp12)\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((hskp11)\/((hskp17)\/(hskp1))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H1a1 zenon_H159 zenon_H118 zenon_H243 zenon_H15 zenon_H1ab zenon_H68 zenon_H222 zenon_H19f zenon_H19d zenon_H25d zenon_H1d zenon_H1c6 zenon_H34 zenon_H211 zenon_H16e zenon_Hb zenon_H2a0 zenon_H3 zenon_H170 zenon_H2bb zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H2c5 zenon_H1ed zenon_H5a zenon_H242 zenon_H61 zenon_H65 zenon_Hce zenon_H1de zenon_H5 zenon_H2cc zenon_Hd zenon_H24f zenon_Hf1 zenon_H15a. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.11/1.27 apply (zenon_L740_); trivial. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 1.11/1.27 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 1.11/1.27 apply (zenon_L153_); trivial. % 1.11/1.27 apply (zenon_L742_); trivial. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.11/1.27 apply (zenon_L740_); trivial. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 1.11/1.27 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 1.11/1.27 apply (zenon_L743_); trivial. % 1.11/1.27 apply (zenon_L745_); trivial. % 1.11/1.27 apply (zenon_L136_); trivial. % 1.11/1.27 (* end of lemma zenon_L746_ *) % 1.11/1.27 assert (zenon_L747_ : ((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> ((hskp19)\/((hskp21)\/(hskp6))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_Hf8 zenon_H68 zenon_H2b9 zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_H16e zenon_Hb zenon_H24f zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H161 zenon_H163 zenon_H162 zenon_Hca zenon_Hce. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_H20. zenon_intro zenon_Hf9. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H9a. zenon_intro zenon_Hfa. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_H98. zenon_intro zenon_H99. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.11/1.27 apply (zenon_L734_); trivial. % 1.11/1.27 apply (zenon_L704_); trivial. % 1.11/1.27 (* end of lemma zenon_L747_ *) % 1.11/1.27 assert (zenon_L748_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> ((hskp19)\/((hskp21)\/(hskp6))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> (~(hskp11)) -> (~(hskp1)) -> ((hskp11)\/((hskp17)\/(hskp1))) -> False). % 1.11/1.27 do 0 intro. intros zenon_Hf1 zenon_H68 zenon_H2b9 zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_H16e zenon_Hb zenon_H24f zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H161 zenon_H163 zenon_H162 zenon_Hca zenon_Hce zenon_H2d zenon_H5 zenon_H1de. % 1.11/1.27 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 1.11/1.27 apply (zenon_L153_); trivial. % 1.11/1.27 apply (zenon_L747_); trivial. % 1.11/1.27 (* end of lemma zenon_L748_ *) % 1.11/1.27 assert (zenon_L749_ : ((ndr1_0)/\((c0_1 (a1648))/\((c2_1 (a1648))/\(~(c3_1 (a1648)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((hskp15)\/((hskp19)\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> (~(hskp5)) -> ((hskp12)\/((hskp5)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp29))) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((hskp11)\/((hskp17)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(c3_1 (a1642))) -> (c0_1 (a1642)) -> (~(c2_1 (a1642))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp6)) -> ((hskp19)\/((hskp21)\/(hskp6))) -> (~(c0_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c3_1 (a1644))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H1a1 zenon_H159 zenon_H15a zenon_H118 zenon_H1ab zenon_H15 zenon_Hf2 zenon_Heb zenon_He8 zenon_H65 zenon_Hd0 zenon_Hcf zenon_H170 zenon_Hb2 zenon_H95 zenon_H2bb zenon_H2c5 zenon_H1ed zenon_H5a zenon_H242 zenon_H61 zenon_H3 zenon_H2a0 zenon_H211 zenon_H34 zenon_H1c6 zenon_H1d zenon_H25d zenon_H19d zenon_H19f zenon_H222 zenon_H1de zenon_H5 zenon_Hce zenon_Hca zenon_H162 zenon_H163 zenon_H161 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H24f zenon_Hb zenon_H16e zenon_Hd5 zenon_Hd6 zenon_Hd7 zenon_H2b9 zenon_H68 zenon_Hf1. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.11/1.27 apply (zenon_L748_); trivial. % 1.11/1.27 apply (zenon_L730_); trivial. % 1.11/1.27 (* end of lemma zenon_L749_ *) % 1.11/1.27 assert (zenon_L750_ : ((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (~(c3_1 (a1682))) -> (c1_1 (a1682)) -> (c2_1 (a1682)) -> False). % 1.11/1.27 do 0 intro. intros zenon_H60 zenon_H2b9 zenon_H179 zenon_H17a zenon_H17b zenon_H5a zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H44 zenon_H45 zenon_H46. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H20. zenon_intro zenon_H62. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H38. zenon_intro zenon_H63. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H36. zenon_intro zenon_H37. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H2ba ]. % 1.11/1.27 apply (zenon_L95_); trivial. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H2af | zenon_intro zenon_H43 ]. % 1.11/1.27 apply (zenon_L703_); trivial. % 1.11/1.27 apply (zenon_L25_); trivial. % 1.11/1.27 (* end of lemma zenon_L750_ *) % 1.11/1.27 assert (zenon_L751_ : ((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(hskp12)) -> (~(hskp5)) -> ((hskp12)\/((hskp5)\/(hskp24))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H64 zenon_H65 zenon_H2b9 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H179 zenon_H17a zenon_H17b zenon_H5a zenon_H17 zenon_H3 zenon_H2a0. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H20. zenon_intro zenon_H66. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H45. zenon_intro zenon_H67. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H46. zenon_intro zenon_H44. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.11/1.27 apply (zenon_L400_); trivial. % 1.11/1.27 apply (zenon_L750_); trivial. % 1.11/1.27 (* end of lemma zenon_L751_ *) % 1.11/1.27 assert (zenon_L752_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((hskp12)\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (~(hskp12)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H68 zenon_H2b9 zenon_Hce zenon_H2a0 zenon_H3 zenon_H17 zenon_H61 zenon_H242 zenon_H5a zenon_H1a4 zenon_H191 zenon_H192 zenon_H1ed zenon_H2c5 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2bb zenon_H95 zenon_Hb2 zenon_H170 zenon_Hcf zenon_Hd0 zenon_H65 zenon_H17b zenon_H17a zenon_H179 zenon_He8 zenon_Heb zenon_Hf2. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.11/1.27 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 1.11/1.27 apply (zenon_L719_); trivial. % 1.11/1.27 apply (zenon_L401_); trivial. % 1.11/1.27 apply (zenon_L751_); trivial. % 1.11/1.27 (* end of lemma zenon_L752_ *) % 1.11/1.27 assert (zenon_L753_ : ((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (~(c3_1 (a1682))) -> (c1_1 (a1682)) -> (c2_1 (a1682)) -> False). % 1.11/1.27 do 0 intro. intros zenon_H21f zenon_H2b9 zenon_H192 zenon_H191 zenon_H1a4 zenon_H179 zenon_H17a zenon_H17b zenon_H1c6 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H44 zenon_H45 zenon_H46. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H20. zenon_intro zenon_H220. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H216. zenon_intro zenon_H221. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H217. zenon_intro zenon_H218. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H2ba ]. % 1.11/1.27 apply (zenon_L275_); trivial. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H2af | zenon_intro zenon_H43 ]. % 1.11/1.27 apply (zenon_L703_); trivial. % 1.11/1.27 apply (zenon_L25_); trivial. % 1.11/1.27 (* end of lemma zenon_L753_ *) % 1.11/1.27 assert (zenon_L754_ : ((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H64 zenon_H222 zenon_H2b9 zenon_H179 zenon_H17a zenon_H17b zenon_H1a4 zenon_H191 zenon_H192 zenon_H1c6 zenon_H2cc zenon_Hd zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H211 zenon_H242. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H20. zenon_intro zenon_H66. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H45. zenon_intro zenon_H67. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H46. zenon_intro zenon_H44. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.11/1.27 apply (zenon_L736_); trivial. % 1.11/1.27 apply (zenon_L753_); trivial. % 1.11/1.27 (* end of lemma zenon_L754_ *) % 1.11/1.27 assert (zenon_L755_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> (~(hskp15)) -> (~(hskp1)) -> ((hskp15)\/((hskp19)\/(hskp1))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H68 zenon_H222 zenon_H2b9 zenon_H179 zenon_H17a zenon_H17b zenon_H1a4 zenon_H191 zenon_H192 zenon_H1c6 zenon_H2cc zenon_Hd zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H211 zenon_H242 zenon_H11 zenon_H5 zenon_H15. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.11/1.27 apply (zenon_L11_); trivial. % 1.11/1.27 apply (zenon_L754_); trivial. % 1.11/1.27 (* end of lemma zenon_L755_ *) % 1.11/1.27 assert (zenon_L756_ : ((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((hskp15)\/((hskp19)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (~(hskp9)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp9))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H15d zenon_H118 zenon_H24f zenon_H19f zenon_H19d zenon_H1ed zenon_H1ab zenon_H15 zenon_H5 zenon_H242 zenon_H211 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_Hd zenon_H2cc zenon_H1c6 zenon_H192 zenon_H191 zenon_H1a4 zenon_H17b zenon_H17a zenon_H179 zenon_H2b9 zenon_H222 zenon_H68. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 1.11/1.27 apply (zenon_L755_); trivial. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H20. zenon_intro zenon_Hf3. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H6c. zenon_intro zenon_Hf4. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H6a. zenon_intro zenon_H6b. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 1.11/1.27 apply (zenon_L735_); trivial. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H20. zenon_intro zenon_H240. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H236. zenon_intro zenon_H241. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H237. zenon_intro zenon_H238. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H97 | zenon_intro zenon_H250 ]. % 1.11/1.27 apply (zenon_L119_); trivial. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H127 | zenon_intro zenon_H244 ]. % 1.11/1.27 apply (zenon_L69_); trivial. % 1.11/1.27 apply (zenon_L726_); trivial. % 1.11/1.27 (* end of lemma zenon_L756_ *) % 1.11/1.27 assert (zenon_L757_ : ((ndr1_0)/\((c0_1 (a1648))/\((c2_1 (a1648))/\(~(c3_1 (a1648)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((hskp15)\/((hskp19)\/(hskp1))) -> (~(hskp1)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(hskp9)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp9))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> (~(hskp5)) -> ((hskp12)\/((hskp5)\/(hskp24))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H1a1 zenon_H15a zenon_H118 zenon_H24f zenon_H19f zenon_H19d zenon_H1ab zenon_H15 zenon_H5 zenon_H211 zenon_Hd zenon_H2cc zenon_H1c6 zenon_H222 zenon_Hf2 zenon_Heb zenon_He8 zenon_H179 zenon_H17a zenon_H17b zenon_H65 zenon_Hd0 zenon_Hcf zenon_H170 zenon_Hb2 zenon_H95 zenon_H2bb zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H2c5 zenon_H1ed zenon_H5a zenon_H242 zenon_H61 zenon_H3 zenon_H2a0 zenon_Hce zenon_H2b9 zenon_H68. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.11/1.27 apply (zenon_L752_); trivial. % 1.11/1.27 apply (zenon_L756_); trivial. % 1.11/1.27 (* end of lemma zenon_L757_ *) % 1.11/1.27 assert (zenon_L758_ : ((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((hskp15)\/((hskp19)\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H15d zenon_H118 zenon_Hf2 zenon_Heb zenon_He8 zenon_Hd0 zenon_H95 zenon_H1ab zenon_H17b zenon_H17a zenon_H179 zenon_Hb2 zenon_Hca zenon_Hcf zenon_Hce zenon_H15 zenon_H5 zenon_Hd5 zenon_Hd6 zenon_Hd7 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2b9 zenon_H68. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 1.11/1.27 apply (zenon_L707_); trivial. % 1.11/1.27 apply (zenon_L122_); trivial. % 1.11/1.27 (* end of lemma zenon_L758_ *) % 1.11/1.27 assert (zenon_L759_ : ((ndr1_0)/\((c0_1 (a1648))/\((c2_1 (a1648))/\(~(c3_1 (a1648)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((hskp15)\/((hskp19)\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c3_1 (a1644))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> (~(hskp5)) -> ((hskp12)\/((hskp5)\/(hskp24))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H1a1 zenon_H15a zenon_H118 zenon_H1ab zenon_Hca zenon_H15 zenon_H5 zenon_Hd5 zenon_Hd6 zenon_Hd7 zenon_Hf2 zenon_Heb zenon_He8 zenon_H179 zenon_H17a zenon_H17b zenon_H65 zenon_Hd0 zenon_Hcf zenon_H170 zenon_Hb2 zenon_H95 zenon_H2bb zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H2c5 zenon_H1ed zenon_H5a zenon_H242 zenon_H61 zenon_H3 zenon_H2a0 zenon_Hce zenon_H2b9 zenon_H68. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.11/1.27 apply (zenon_L752_); trivial. % 1.11/1.27 apply (zenon_L758_); trivial. % 1.11/1.27 (* end of lemma zenon_L759_ *) % 1.11/1.27 assert (zenon_L760_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp10)\/(hskp1))) -> (~(hskp10)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> (~(hskp15)) -> (~(hskp1)) -> ((hskp15)\/((hskp19)\/(hskp1))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H68 zenon_H222 zenon_H1bc zenon_H189 zenon_H2cc zenon_Hd zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H211 zenon_H242 zenon_H11 zenon_H5 zenon_H15. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.11/1.27 apply (zenon_L11_); trivial. % 1.11/1.27 apply (zenon_L737_); trivial. % 1.11/1.27 (* end of lemma zenon_L760_ *) % 1.11/1.27 assert (zenon_L761_ : ((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(hskp12)) -> (~(hskp5)) -> ((hskp12)\/((hskp5)\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> (~(c3_1 (a1642))) -> (c0_1 (a1642)) -> (~(c2_1 (a1642))) -> (~(hskp3)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp3))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> (~(hskp10)) -> (~(hskp11)) -> ((hskp10)\/((hskp18)\/(hskp11))) -> False). % 1.11/1.27 do 0 intro. intros zenon_Hef zenon_H136 zenon_Hf2 zenon_H65 zenon_Heb zenon_He8 zenon_H5a zenon_H17 zenon_H3 zenon_H2a0 zenon_Hd0 zenon_H95 zenon_H132 zenon_H179 zenon_H17a zenon_H17b zenon_H162 zenon_H163 zenon_H161 zenon_H105 zenon_H150 zenon_Hb2 zenon_Hca zenon_Hcf zenon_Hce zenon_H189 zenon_H2d zenon_H18b. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H20. zenon_intro zenon_Hf3. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H6c. zenon_intro zenon_Hf4. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H6a. zenon_intro zenon_H6b. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H119 | zenon_intro zenon_H131 ]. % 1.11/1.27 apply (zenon_L104_); trivial. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H20. zenon_intro zenon_H133. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H120. zenon_intro zenon_H134. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 1.11/1.27 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 1.11/1.27 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.11/1.27 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H8f | zenon_intro zenon_Hbd ]. % 1.11/1.27 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H93 | zenon_intro zenon_Hd1 ]. % 1.11/1.27 apply (zenon_L42_); trivial. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H20. zenon_intro zenon_Hd2. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Ha1. zenon_intro zenon_Hd3. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_Ha3. zenon_intro zenon_Ha4. % 1.11/1.27 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H97 | zenon_intro zenon_Hcd ]. % 1.11/1.27 apply (zenon_L149_); trivial. % 1.11/1.27 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H69 | zenon_intro zenon_Ha2 ]. % 1.11/1.27 apply (zenon_L32_); trivial. % 1.11/1.27 apply (zenon_L46_); trivial. % 1.11/1.27 apply (zenon_L48_); trivial. % 1.11/1.27 apply (zenon_L152_); trivial. % 1.11/1.27 apply (zenon_L401_); trivial. % 1.11/1.27 (* end of lemma zenon_L761_ *) % 1.11/1.27 assert (zenon_L762_ : ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp29))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (~(hskp12)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(hskp20)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(hskp21)) -> (~(hskp19)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H222 zenon_H65 zenon_H19f zenon_H19d zenon_H25d zenon_H2c5 zenon_H1d zenon_H34 zenon_H61 zenon_H242 zenon_Heb zenon_He8 zenon_H211 zenon_H13e zenon_H13d zenon_H13c zenon_H1ed zenon_H84 zenon_H83 zenon_H82 zenon_H1a4 zenon_H191 zenon_H192 zenon_H1c6 zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H17 zenon_H2bb zenon_H95 zenon_H91 zenon_Hb2 zenon_Hb0 zenon_H13 zenon_H170 zenon_Hcf zenon_Hd0. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.11/1.27 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H8f | zenon_intro zenon_Hbd ]. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.11/1.27 apply (zenon_L89_); trivial. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 1.11/1.27 apply (zenon_L706_); trivial. % 1.11/1.27 apply (zenon_L422_); trivial. % 1.11/1.27 apply (zenon_L48_); trivial. % 1.11/1.27 apply (zenon_L728_); trivial. % 1.11/1.27 (* end of lemma zenon_L762_ *) % 1.11/1.27 assert (zenon_L763_ : ((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (~(c3_1 (a1642))) -> (c0_1 (a1642)) -> (~(c2_1 (a1642))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (~(hskp17)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_Hc9 zenon_Hca zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H162 zenon_H163 zenon_H161 zenon_H8d zenon_H84 zenon_H83 zenon_H82 zenon_H8b zenon_H24f. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H20. zenon_intro zenon_Hcb. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc1. zenon_intro zenon_Hcc. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc2. zenon_intro zenon_Hc0. % 1.11/1.27 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H97 | zenon_intro zenon_Hcd ]. % 1.11/1.27 apply (zenon_L167_); trivial. % 1.11/1.27 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H69 | zenon_intro zenon_Ha2 ]. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H97 | zenon_intro zenon_H250 ]. % 1.11/1.27 apply (zenon_L167_); trivial. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H127 | zenon_intro zenon_H244 ]. % 1.11/1.27 apply (zenon_L150_); trivial. % 1.11/1.27 apply (zenon_L721_); trivial. % 1.11/1.27 apply (zenon_L49_); trivial. % 1.11/1.27 (* end of lemma zenon_L763_ *) % 1.11/1.27 assert (zenon_L764_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(c3_1 (a1642))) -> (c0_1 (a1642)) -> (~(c2_1 (a1642))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> (~(hskp17)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (~(hskp19)) -> (~(hskp6)) -> ((hskp19)\/((hskp21)\/(hskp6))) -> False). % 1.11/1.27 do 0 intro. intros zenon_Hce zenon_Hca zenon_H162 zenon_H163 zenon_H161 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H24f zenon_H82 zenon_H83 zenon_H84 zenon_H8b zenon_H8d zenon_H13 zenon_Hb zenon_H16e. % 1.11/1.27 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.11/1.27 apply (zenon_L85_); trivial. % 1.11/1.27 apply (zenon_L763_); trivial. % 1.11/1.27 (* end of lemma zenon_L764_ *) % 1.11/1.27 assert (zenon_L765_ : ((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> (~(hskp12)) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H64 zenon_H222 zenon_H1bc zenon_H5 zenon_H189 zenon_H2bb zenon_H17 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H211 zenon_H242. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H20. zenon_intro zenon_H66. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H45. zenon_intro zenon_H67. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H46. zenon_intro zenon_H44. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.11/1.27 apply (zenon_L720_); trivial. % 1.11/1.27 apply (zenon_L258_); trivial. % 1.11/1.27 (* end of lemma zenon_L765_ *) % 1.11/1.27 assert (zenon_L766_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> (~(hskp9)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp9))) -> ((hskp19)\/((hskp21)\/(hskp6))) -> (~(hskp6)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H68 zenon_H19f zenon_H19d zenon_H191 zenon_H192 zenon_Hd zenon_H16a zenon_H16e zenon_Hb zenon_H8d zenon_H8b zenon_H84 zenon_H83 zenon_H82 zenon_H24f zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H161 zenon_H163 zenon_H162 zenon_Hca zenon_Hce. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.11/1.27 apply (zenon_L764_); trivial. % 1.11/1.27 apply (zenon_L113_); trivial. % 1.11/1.27 (* end of lemma zenon_L766_ *) % 1.11/1.27 assert (zenon_L767_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> ((hskp19)\/((hskp21)\/(hskp6))) -> (~(hskp6)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H68 zenon_H2b9 zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_H16e zenon_Hb zenon_H8d zenon_H8b zenon_H84 zenon_H83 zenon_H82 zenon_H24f zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H161 zenon_H163 zenon_H162 zenon_Hca zenon_Hce. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.11/1.27 apply (zenon_L764_); trivial. % 1.11/1.27 apply (zenon_L704_); trivial. % 1.11/1.27 (* end of lemma zenon_L767_ *) % 1.11/1.27 assert (zenon_L768_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(hskp20)) -> (~(c0_1 (a1675))) -> (~(c1_1 (a1675))) -> (c2_1 (a1675)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(hskp21)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_Hd0 zenon_H95 zenon_H91 zenon_H98 zenon_H99 zenon_H9a zenon_H24f zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H161 zenon_H163 zenon_H162 zenon_Hb2 zenon_Hb0 zenon_Hca zenon_Hcf. % 1.11/1.27 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H8f | zenon_intro zenon_Hbd ]. % 1.11/1.27 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H93 | zenon_intro zenon_Hd1 ]. % 1.11/1.27 apply (zenon_L42_); trivial. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H20. zenon_intro zenon_Hd2. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Ha1. zenon_intro zenon_Hd3. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_Ha3. zenon_intro zenon_Ha4. % 1.11/1.27 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H97 | zenon_intro zenon_Hcd ]. % 1.11/1.27 apply (zenon_L43_); trivial. % 1.11/1.27 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H69 | zenon_intro zenon_Ha2 ]. % 1.11/1.27 apply (zenon_L732_); trivial. % 1.11/1.27 apply (zenon_L46_); trivial. % 1.11/1.27 apply (zenon_L48_); trivial. % 1.11/1.27 (* end of lemma zenon_L768_ *) % 1.11/1.27 assert (zenon_L769_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(c3_1 (a1642))) -> (c0_1 (a1642)) -> (~(c2_1 (a1642))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c2_1 (a1675)) -> (~(c1_1 (a1675))) -> (~(c0_1 (a1675))) -> (~(hskp20)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_Hce zenon_Hcf zenon_Hca zenon_Hb2 zenon_H162 zenon_H163 zenon_H161 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H24f zenon_H9a zenon_H99 zenon_H98 zenon_H91 zenon_H95 zenon_Hd0. % 1.11/1.27 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.11/1.27 apply (zenon_L768_); trivial. % 1.11/1.27 apply (zenon_L733_); trivial. % 1.11/1.27 (* end of lemma zenon_L769_ *) % 1.11/1.27 assert (zenon_L770_ : ((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_Hf8 zenon_Hf2 zenon_Heb zenon_He8 zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_Hd0 zenon_H95 zenon_H24f zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H161 zenon_H163 zenon_H162 zenon_Hb2 zenon_Hca zenon_Hcf zenon_Hce. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_H20. zenon_intro zenon_Hf9. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H9a. zenon_intro zenon_Hfa. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_H98. zenon_intro zenon_H99. % 1.11/1.27 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 1.11/1.27 apply (zenon_L769_); trivial. % 1.11/1.27 apply (zenon_L55_); trivial. % 1.11/1.27 (* end of lemma zenon_L770_ *) % 1.11/1.27 assert (zenon_L771_ : ((ndr1_0)/\((~(c0_1 (a1644)))/\((~(c1_1 (a1644)))/\(~(c3_1 (a1644)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(c3_1 (a1642))) -> (c0_1 (a1642)) -> (~(c2_1 (a1642))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (~(hskp6)) -> ((hskp19)\/((hskp21)\/(hskp6))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H158 zenon_Hf1 zenon_Hf2 zenon_Heb zenon_He8 zenon_Hd0 zenon_H95 zenon_Hb2 zenon_Hcf zenon_Hce zenon_Hca zenon_H162 zenon_H163 zenon_H161 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H24f zenon_H82 zenon_H83 zenon_H84 zenon_H8d zenon_Hb zenon_H16e zenon_H2b9 zenon_H68. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H20. zenon_intro zenon_H15b. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_Hd5. zenon_intro zenon_H15c. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_Hd6. zenon_intro zenon_Hd7. % 1.11/1.27 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 1.11/1.27 apply (zenon_L767_); trivial. % 1.11/1.27 apply (zenon_L770_); trivial. % 1.11/1.27 (* end of lemma zenon_L771_ *) % 1.11/1.27 assert (zenon_L772_ : ((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> (~(hskp3)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((hskp15)\/((hskp19)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (~(hskp9)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp9))) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp10)\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H114 zenon_H118 zenon_Hf1 zenon_H107 zenon_H105 zenon_H8d zenon_H84 zenon_H83 zenon_H82 zenon_Hca zenon_Hce zenon_H15 zenon_H5 zenon_H242 zenon_H211 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_Hd zenon_H2cc zenon_H189 zenon_H1bc zenon_H222 zenon_H68. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H20. zenon_intro zenon_H115. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_Hfd. zenon_intro zenon_H116. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hfe. zenon_intro zenon_Hfc. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 1.11/1.27 apply (zenon_L760_); trivial. % 1.11/1.27 apply (zenon_L181_); trivial. % 1.11/1.27 (* end of lemma zenon_L772_ *) % 1.11/1.27 assert (zenon_L773_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> (~(hskp3)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((hskp15)\/((hskp19)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (~(hskp9)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp9))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp10)\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> (~(hskp10)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((hskp10)\/((hskp18)\/(hskp11))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H159 zenon_H117 zenon_H118 zenon_Hf1 zenon_H107 zenon_H105 zenon_H8d zenon_Hca zenon_Hce zenon_H15 zenon_H5 zenon_H242 zenon_H211 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_Hd zenon_H2cc zenon_H1bc zenon_H222 zenon_H68 zenon_H65 zenon_Heb zenon_He8 zenon_H82 zenon_H83 zenon_H84 zenon_H189 zenon_H1d1 zenon_H179 zenon_H17a zenon_H17b zenon_H5a zenon_H1d zenon_H30 zenon_H34 zenon_H19d zenon_H19f zenon_Hf0 zenon_H18b zenon_H132 zenon_H136 zenon_H15a. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H2b | zenon_intro zenon_H114 ]. % 1.11/1.27 apply (zenon_L144_); trivial. % 1.11/1.27 apply (zenon_L772_); trivial. % 1.11/1.27 apply (zenon_L105_); trivial. % 1.11/1.27 apply (zenon_L739_); trivial. % 1.11/1.27 (* end of lemma zenon_L773_ *) % 1.11/1.27 assert (zenon_L774_ : ((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (~(c0_1 (a1701))) -> (~(c1_1 (a1701))) -> (c3_1 (a1701)) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (~(hskp12)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H59 zenon_H242 zenon_Heb zenon_He8 zenon_H1ed zenon_H84 zenon_H83 zenon_H82 zenon_H36 zenon_H37 zenon_H38 zenon_H179 zenon_H17a zenon_H17b zenon_H5a zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H17 zenon_H2bb. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 1.11/1.27 apply (zenon_L706_); trivial. % 1.11/1.27 apply (zenon_L472_); trivial. % 1.11/1.27 (* end of lemma zenon_L774_ *) % 1.11/1.27 assert (zenon_L775_ : ((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (~(hskp12)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> (~(c1_1 (a1691))) -> (c2_1 (a1691)) -> (c3_1 (a1691)) -> (~(hskp19)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H60 zenon_H61 zenon_H242 zenon_Heb zenon_He8 zenon_H1ed zenon_H84 zenon_H83 zenon_H82 zenon_H179 zenon_H17a zenon_H17b zenon_H5a zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H17 zenon_H2bb zenon_Hc0 zenon_Hc1 zenon_Hc2 zenon_H13 zenon_H170. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H20. zenon_intro zenon_H62. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H38. zenon_intro zenon_H63. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H36. zenon_intro zenon_H37. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.11/1.27 apply (zenon_L91_); trivial. % 1.11/1.27 apply (zenon_L774_); trivial. % 1.11/1.27 (* end of lemma zenon_L775_ *) % 1.11/1.27 assert (zenon_L776_ : ((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> (~(hskp19)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(hskp12)) -> (~(hskp13)) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_Hc9 zenon_H65 zenon_H61 zenon_H242 zenon_Heb zenon_He8 zenon_H1ed zenon_H84 zenon_H83 zenon_H82 zenon_H179 zenon_H17a zenon_H17b zenon_H5a zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2bb zenon_H13 zenon_H170 zenon_H1d zenon_H17 zenon_H2b zenon_H2d zenon_H30 zenon_H34. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H20. zenon_intro zenon_Hcb. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc1. zenon_intro zenon_Hcc. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc2. zenon_intro zenon_Hc0. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.11/1.27 apply (zenon_L21_); trivial. % 1.11/1.27 apply (zenon_L775_); trivial. % 1.11/1.27 (* end of lemma zenon_L776_ *) % 1.11/1.27 assert (zenon_L777_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(hskp12)) -> (~(hskp13)) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_Hf2 zenon_H65 zenon_Hd0 zenon_Hcf zenon_H170 zenon_H13 zenon_Hb2 zenon_H95 zenon_H2bb zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H2c5 zenon_H1ed zenon_H192 zenon_H191 zenon_H1a4 zenon_H5a zenon_H242 zenon_H61 zenon_H1d zenon_H17 zenon_H2b zenon_H2d zenon_H30 zenon_H34 zenon_H17b zenon_H17a zenon_H179 zenon_H82 zenon_H83 zenon_H84 zenon_He8 zenon_Heb zenon_Hce. % 1.11/1.27 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 1.11/1.27 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.11/1.27 apply (zenon_L21_); trivial. % 1.11/1.27 apply (zenon_L716_); trivial. % 1.11/1.27 apply (zenon_L776_); trivial. % 1.11/1.27 apply (zenon_L97_); trivial. % 1.11/1.27 (* end of lemma zenon_L777_ *) % 1.11/1.27 assert (zenon_L778_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp29))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> (~(hskp11)) -> (~(hskp13)) -> (~(hskp12)) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H68 zenon_H222 zenon_H19f zenon_H19d zenon_H25d zenon_H1c6 zenon_H211 zenon_Hce zenon_Heb zenon_He8 zenon_H84 zenon_H83 zenon_H82 zenon_H179 zenon_H17a zenon_H17b zenon_H34 zenon_H30 zenon_H2d zenon_H2b zenon_H17 zenon_H1d zenon_H61 zenon_H242 zenon_H5a zenon_H1a4 zenon_H191 zenon_H192 zenon_H1ed zenon_H2c5 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2bb zenon_H95 zenon_Hb2 zenon_H170 zenon_Hcf zenon_Hd0 zenon_H65 zenon_Hf2. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.11/1.27 apply (zenon_L777_); trivial. % 1.11/1.27 apply (zenon_L729_); trivial. % 1.11/1.27 (* end of lemma zenon_L778_ *) % 1.11/1.27 assert (zenon_L779_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp29))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> (~(hskp12)) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> (~(hskp15)) -> (~(hskp1)) -> ((hskp15)\/((hskp19)\/(hskp1))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H68 zenon_H222 zenon_H65 zenon_H19f zenon_H19d zenon_H1ed zenon_H25d zenon_H2c5 zenon_H1d zenon_H1a4 zenon_H191 zenon_H192 zenon_H1c6 zenon_H34 zenon_H2bb zenon_H17 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H211 zenon_H242 zenon_H11 zenon_H5 zenon_H15. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.11/1.27 apply (zenon_L11_); trivial. % 1.11/1.27 apply (zenon_L729_); trivial. % 1.11/1.27 (* end of lemma zenon_L779_ *) % 1.11/1.27 assert (zenon_L780_ : ((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> (~(hskp3)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((hskp15)\/((hskp19)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (~(hskp12)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp29))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H114 zenon_H118 zenon_Hf1 zenon_H107 zenon_H105 zenon_H8d zenon_H84 zenon_H83 zenon_H82 zenon_Hca zenon_Hce zenon_H15 zenon_H5 zenon_H242 zenon_H211 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H17 zenon_H2bb zenon_H34 zenon_H1c6 zenon_H192 zenon_H191 zenon_H1a4 zenon_H1d zenon_H2c5 zenon_H25d zenon_H1ed zenon_H19d zenon_H19f zenon_H65 zenon_H222 zenon_H68. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H20. zenon_intro zenon_H115. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_Hfd. zenon_intro zenon_H116. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hfe. zenon_intro zenon_Hfc. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 1.11/1.27 apply (zenon_L779_); trivial. % 1.11/1.27 apply (zenon_L181_); trivial. % 1.11/1.27 (* end of lemma zenon_L780_ *) % 1.11/1.27 assert (zenon_L781_ : ((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(hskp2)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp9))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(hskp9)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> False). % 1.11/1.27 do 0 intro. intros zenon_H2f zenon_H1c6 zenon_H19d zenon_H82 zenon_H83 zenon_H84 zenon_H16a zenon_H13e zenon_H13d zenon_H13c zenon_Hd zenon_H19f zenon_H1a4 zenon_H191 zenon_H192. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H20. zenon_intro zenon_H31. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H23. zenon_intro zenon_H32. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H24. zenon_intro zenon_H22. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1c7 ]. % 1.11/1.27 apply (zenon_L480_); trivial. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H21 | zenon_intro zenon_H1c3 ]. % 1.11/1.27 apply (zenon_L17_); trivial. % 1.11/1.27 apply (zenon_L191_); trivial. % 1.11/1.27 (* end of lemma zenon_L781_ *) % 1.11/1.27 assert (zenon_L782_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(hskp21)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(hskp20)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> (~(hskp9)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp9))) -> (~(c3_1 (a1648))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H65 zenon_Hd0 zenon_Hcf zenon_H170 zenon_H13 zenon_Hb0 zenon_Hb2 zenon_H91 zenon_H95 zenon_H2bb zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H2c5 zenon_H1ed zenon_H5a zenon_H242 zenon_H61 zenon_H1d zenon_H17 zenon_H19f zenon_H19d zenon_H84 zenon_H83 zenon_H82 zenon_H13c zenon_H13d zenon_H13e zenon_H191 zenon_H192 zenon_Hd zenon_H16a zenon_H1a4 zenon_H1c6 zenon_H34. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 1.11/1.27 apply (zenon_L15_); trivial. % 1.11/1.27 apply (zenon_L781_); trivial. % 1.11/1.27 apply (zenon_L716_); trivial. % 1.11/1.27 (* end of lemma zenon_L782_ *) % 1.11/1.27 assert (zenon_L783_ : ((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_Hea zenon_H222 zenon_H2cc zenon_Hd zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H1c6 zenon_H192 zenon_H191 zenon_H1a4 zenon_H17b zenon_H17a zenon_H179 zenon_H13c zenon_H13d zenon_H13e zenon_H211 zenon_He8 zenon_Heb zenon_H242. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H20. zenon_intro zenon_Hec. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He0. zenon_intro zenon_Hed. % 1.11/1.27 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_He1. zenon_intro zenon_Hdf. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 1.11/1.27 apply (zenon_L735_); trivial. % 1.11/1.27 apply (zenon_L274_); trivial. % 1.11/1.27 apply (zenon_L276_); trivial. % 1.11/1.27 (* end of lemma zenon_L783_ *) % 1.11/1.27 assert (zenon_L784_ : ((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((hskp15)\/((hskp19)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> (~(c3_1 (a1648))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (~(hskp9)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp9))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> False). % 1.11/1.27 do 0 intro. intros zenon_H15d zenon_H118 zenon_H1ab zenon_H15 zenon_H5 zenon_H61 zenon_H242 zenon_Heb zenon_He8 zenon_H1ed zenon_H211 zenon_H13e zenon_H13d zenon_H13c zenon_H179 zenon_H17a zenon_H17b zenon_H1a4 zenon_H1c6 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_Hd zenon_H2cc zenon_H1ff zenon_H192 zenon_H191 zenon_H82 zenon_H83 zenon_H84 zenon_H19d zenon_H19f zenon_H2b9 zenon_H222 zenon_H68. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.11/1.27 apply (zenon_L11_); trivial. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H20. zenon_intro zenon_H66. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H45. zenon_intro zenon_H67. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H46. zenon_intro zenon_H44. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.11/1.27 apply (zenon_L177_); trivial. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 1.11/1.27 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 1.11/1.27 apply (zenon_L735_); trivial. % 1.11/1.27 apply (zenon_L455_); trivial. % 1.11/1.27 apply (zenon_L753_); trivial. % 1.11/1.27 apply (zenon_L136_); trivial. % 1.11/1.27 (* end of lemma zenon_L784_ *) % 1.11/1.27 assert (zenon_L785_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c1_1 (a1643)) -> (~(c2_1 (a1643))) -> (~(c3_1 (a1643))) -> (forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))) -> (c2_1 (a1709)) -> (c1_1 (a1709)) -> (~(c0_1 (a1709))) -> (ndr1_0) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> False). % 1.11/1.27 do 0 intro. intros zenon_H1c6 zenon_H1b0 zenon_H1af zenon_H1ad zenon_H127 zenon_H24 zenon_H23 zenon_H22 zenon_H20 zenon_H1a4 zenon_H191 zenon_H192. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1c7 ]. % 1.11/1.27 apply (zenon_L125_); trivial. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H21 | zenon_intro zenon_H1c3 ]. % 1.11/1.27 apply (zenon_L17_); trivial. % 1.11/1.27 apply (zenon_L191_); trivial. % 1.11/1.27 (* end of lemma zenon_L785_ *) % 1.11/1.27 assert (zenon_L786_ : ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7)))))) -> (c0_1 (a1664)) -> (~(c2_1 (a1664))) -> (~(c1_1 (a1664))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c1_1 (a1643)) -> (~(c2_1 (a1643))) -> (~(c3_1 (a1643))) -> (c2_1 (a1709)) -> (c1_1 (a1709)) -> (~(c0_1 (a1709))) -> (ndr1_0) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> False). % 1.11/1.27 do 0 intro. intros zenon_H1ab zenon_H17b zenon_H17a zenon_H179 zenon_H97 zenon_H6c zenon_H6b zenon_H6a zenon_H1c6 zenon_H1b0 zenon_H1af zenon_H1ad zenon_H24 zenon_H23 zenon_H22 zenon_H20 zenon_H1a4 zenon_H191 zenon_H192. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H13b | zenon_intro zenon_H1ac ]. % 1.11/1.27 apply (zenon_L118_); trivial. % 1.11/1.27 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H69 | zenon_intro zenon_H127 ]. % 1.11/1.27 apply (zenon_L32_); trivial. % 1.11/1.27 apply (zenon_L785_); trivial. % 1.11/1.27 (* end of lemma zenon_L786_ *) % 1.11/1.27 assert (zenon_L787_ : ((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(hskp20)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c0_1 (a1664)) -> (~(c2_1 (a1664))) -> (~(c1_1 (a1664))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(hskp21)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H2f zenon_Hd0 zenon_H95 zenon_H91 zenon_H1ab zenon_H1ad zenon_H1af zenon_H1b0 zenon_H1a4 zenon_H191 zenon_H192 zenon_H1c6 zenon_H6c zenon_H6b zenon_H6a zenon_H17b zenon_H17a zenon_H179 zenon_Hb2 zenon_Hb0 zenon_Hca zenon_Hcf. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H20. zenon_intro zenon_H31. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H23. zenon_intro zenon_H32. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H24. zenon_intro zenon_H22. % 1.11/1.28 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H8f | zenon_intro zenon_Hbd ]. % 1.11/1.28 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H93 | zenon_intro zenon_Hd1 ]. % 1.11/1.28 apply (zenon_L42_); trivial. % 1.11/1.28 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H20. zenon_intro zenon_Hd2. % 1.11/1.28 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Ha1. zenon_intro zenon_Hd3. % 1.11/1.28 apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_Ha3. zenon_intro zenon_Ha4. % 1.11/1.28 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H97 | zenon_intro zenon_Hcd ]. % 1.11/1.28 apply (zenon_L786_); trivial. % 1.11/1.28 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H69 | zenon_intro zenon_Ha2 ]. % 1.11/1.28 apply (zenon_L32_); trivial. % 1.11/1.28 apply (zenon_L46_); trivial. % 1.11/1.28 apply (zenon_L48_); trivial. % 1.11/1.28 (* end of lemma zenon_L787_ *) % 1.11/1.28 assert (zenon_L788_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(hskp20)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c0_1 (a1664)) -> (~(c2_1 (a1664))) -> (~(c1_1 (a1664))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(hskp21)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> (~(hskp12)) -> (~(hskp24)) -> ((hskp12)\/((hskp25)\/(hskp24))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H34 zenon_Hd0 zenon_H95 zenon_H91 zenon_H1ab zenon_H1ad zenon_H1af zenon_H1b0 zenon_H1a4 zenon_H191 zenon_H192 zenon_H1c6 zenon_H6c zenon_H6b zenon_H6a zenon_H17b zenon_H17a zenon_H179 zenon_Hb2 zenon_Hb0 zenon_Hca zenon_Hcf zenon_H17 zenon_H1b zenon_H1d. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 1.11/1.28 apply (zenon_L15_); trivial. % 1.11/1.28 apply (zenon_L787_); trivial. % 1.11/1.28 (* end of lemma zenon_L788_ *) % 1.11/1.28 assert (zenon_L789_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(hskp12)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(hskp21)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> (~(c1_1 (a1664))) -> (~(c2_1 (a1664))) -> (c0_1 (a1664)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> (c1_1 (a1643)) -> (~(c2_1 (a1643))) -> (~(c3_1 (a1643))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (~(hskp20)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H65 zenon_H170 zenon_H13 zenon_H2bb zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H2c5 zenon_H1ed zenon_H5a zenon_H242 zenon_H61 zenon_H1d zenon_H17 zenon_Hcf zenon_Hca zenon_Hb0 zenon_Hb2 zenon_H179 zenon_H17a zenon_H17b zenon_H6a zenon_H6b zenon_H6c zenon_H1c6 zenon_H192 zenon_H191 zenon_H1a4 zenon_H1b0 zenon_H1af zenon_H1ad zenon_H1ab zenon_H91 zenon_H95 zenon_Hd0 zenon_H34. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.11/1.28 apply (zenon_L788_); trivial. % 1.11/1.28 apply (zenon_L716_); trivial. % 1.11/1.28 (* end of lemma zenon_L789_ *) % 1.11/1.28 assert (zenon_L790_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp29))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (~(hskp13)) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> (~(hskp12)) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((hskp15)\/((hskp19)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (~(hskp9)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp9))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H118 zenon_H19f zenon_H19d zenon_H25d zenon_Hce zenon_Heb zenon_He8 zenon_H84 zenon_H83 zenon_H82 zenon_H2b zenon_H2d zenon_H30 zenon_H34 zenon_Hd0 zenon_H95 zenon_H1ab zenon_H1ad zenon_H1af zenon_H1b0 zenon_Hb2 zenon_Hca zenon_Hcf zenon_H17 zenon_H1d zenon_H61 zenon_H5a zenon_H1ed zenon_H2c5 zenon_H2bb zenon_H170 zenon_H65 zenon_Hf2 zenon_H15 zenon_H5 zenon_H242 zenon_H211 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_Hd zenon_H2cc zenon_H1c6 zenon_H192 zenon_H191 zenon_H1a4 zenon_H17b zenon_H17a zenon_H179 zenon_H2b9 zenon_H222 zenon_H68. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 1.11/1.28 apply (zenon_L755_); trivial. % 1.11/1.28 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H20. zenon_intro zenon_Hf3. % 1.11/1.28 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H6c. zenon_intro zenon_Hf4. % 1.11/1.28 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H6a. zenon_intro zenon_H6b. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.11/1.28 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 1.11/1.28 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.11/1.28 apply (zenon_L789_); trivial. % 1.11/1.28 apply (zenon_L776_); trivial. % 1.11/1.28 apply (zenon_L97_); trivial. % 1.11/1.28 apply (zenon_L729_); trivial. % 1.11/1.28 (* end of lemma zenon_L790_ *) % 1.11/1.28 assert (zenon_L791_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> (~(hskp17)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(hskp20)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c0_1 (a1664)) -> (~(c2_1 (a1664))) -> (~(c1_1 (a1664))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> (~(hskp12)) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> (~(hskp19)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> False). % 1.11/1.28 do 0 intro. intros zenon_Hce zenon_H82 zenon_H83 zenon_H84 zenon_H8b zenon_H8d zenon_H34 zenon_Hd0 zenon_H95 zenon_H91 zenon_H1ab zenon_H1ad zenon_H1af zenon_H1b0 zenon_H1a4 zenon_H191 zenon_H192 zenon_H1c6 zenon_H6c zenon_H6b zenon_H6a zenon_H17b zenon_H17a zenon_H179 zenon_Hb2 zenon_Hca zenon_Hcf zenon_H17 zenon_H1d zenon_H61 zenon_H242 zenon_H5a zenon_H1ed zenon_H2c5 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2bb zenon_H13 zenon_H170 zenon_H65. % 1.11/1.28 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.11/1.28 apply (zenon_L789_); trivial. % 1.11/1.28 apply (zenon_L180_); trivial. % 1.11/1.28 (* end of lemma zenon_L791_ *) % 1.11/1.28 assert (zenon_L792_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> (c2_1 (a1675)) -> (~(c1_1 (a1675))) -> (~(c0_1 (a1675))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(hskp20)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c0_1 (a1664)) -> (~(c2_1 (a1664))) -> (~(c1_1 (a1664))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> (~(hskp12)) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> (~(hskp19)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> False). % 1.11/1.28 do 0 intro. intros zenon_Hce zenon_H9a zenon_H99 zenon_H98 zenon_H34 zenon_Hd0 zenon_H95 zenon_H91 zenon_H1ab zenon_H1ad zenon_H1af zenon_H1b0 zenon_H1a4 zenon_H191 zenon_H192 zenon_H1c6 zenon_H6c zenon_H6b zenon_H6a zenon_H17b zenon_H17a zenon_H179 zenon_Hb2 zenon_Hca zenon_Hcf zenon_H17 zenon_H1d zenon_H61 zenon_H242 zenon_H5a zenon_H1ed zenon_H2c5 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2bb zenon_H13 zenon_H170 zenon_H65. % 1.11/1.28 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.11/1.28 apply (zenon_L789_); trivial. % 1.11/1.28 apply (zenon_L50_); trivial. % 1.11/1.28 (* end of lemma zenon_L792_ *) % 1.11/1.28 assert (zenon_L793_ : ((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a1701))) -> (~(c1_1 (a1701))) -> (c3_1 (a1701)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (~(hskp12)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H59 zenon_H242 zenon_Heb zenon_He8 zenon_H36 zenon_H37 zenon_H38 zenon_H1ed zenon_H84 zenon_H83 zenon_H82 zenon_H5a zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H17 zenon_H2bb. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 1.11/1.28 apply (zenon_L706_); trivial. % 1.11/1.28 apply (zenon_L483_); trivial. % 1.11/1.28 (* end of lemma zenon_L793_ *) % 1.11/1.28 assert (zenon_L794_ : ((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> (~(hskp19)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(hskp12)) -> (~(hskp13)) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> False). % 1.11/1.28 do 0 intro. intros zenon_Hc9 zenon_H65 zenon_H61 zenon_H242 zenon_Heb zenon_He8 zenon_H1ed zenon_H84 zenon_H83 zenon_H82 zenon_H5a zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2bb zenon_H13 zenon_H170 zenon_H1d zenon_H17 zenon_H2b zenon_H2d zenon_H30 zenon_H34. % 1.11/1.28 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H20. zenon_intro zenon_Hcb. % 1.11/1.28 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc1. zenon_intro zenon_Hcc. % 1.11/1.28 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc2. zenon_intro zenon_Hc0. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.11/1.28 apply (zenon_L21_); trivial. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H20. zenon_intro zenon_H62. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H38. zenon_intro zenon_H63. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H36. zenon_intro zenon_H37. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.11/1.28 apply (zenon_L91_); trivial. % 1.11/1.28 apply (zenon_L793_); trivial. % 1.11/1.28 (* end of lemma zenon_L794_ *) % 1.11/1.28 assert (zenon_L795_ : ((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> (~(hskp3)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((hskp15)\/((hskp19)\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H114 zenon_H118 zenon_Hf1 zenon_H107 zenon_H105 zenon_H8d zenon_H84 zenon_H83 zenon_H82 zenon_Hca zenon_Hce zenon_H15 zenon_H5 zenon_Hd5 zenon_Hd6 zenon_Hd7 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2b9 zenon_H68. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H20. zenon_intro zenon_H115. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_Hfd. zenon_intro zenon_H116. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hfe. zenon_intro zenon_Hfc. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 1.11/1.28 apply (zenon_L707_); trivial. % 1.11/1.28 apply (zenon_L181_); trivial. % 1.11/1.28 (* end of lemma zenon_L795_ *) % 1.11/1.28 assert (zenon_L796_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp29))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((hskp15)\/((hskp19)\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658))))))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H15a zenon_H118 zenon_H222 zenon_H19f zenon_H19d zenon_H25d zenon_H211 zenon_Hce zenon_Heb zenon_He8 zenon_H84 zenon_H83 zenon_H82 zenon_H2d zenon_H30 zenon_H34 zenon_Hd0 zenon_H95 zenon_H1ab zenon_H1ad zenon_H1af zenon_H1b0 zenon_H1a4 zenon_H191 zenon_H192 zenon_H1c6 zenon_H17b zenon_H17a zenon_H179 zenon_Hb2 zenon_Hca zenon_Hcf zenon_H1d zenon_H61 zenon_H242 zenon_H5a zenon_H1ed zenon_H2c5 zenon_H2bb zenon_H170 zenon_H65 zenon_Hf2 zenon_H15 zenon_H5 zenon_Hd5 zenon_Hd6 zenon_Hd7 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2b9 zenon_H68 zenon_H8d zenon_H105 zenon_H107 zenon_Hf1 zenon_H117. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H2b | zenon_intro zenon_H114 ]. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 1.11/1.28 apply (zenon_L707_); trivial. % 1.11/1.28 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H20. zenon_intro zenon_Hf3. % 1.11/1.28 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H6c. zenon_intro zenon_Hf4. % 1.11/1.28 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H6a. zenon_intro zenon_H6b. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.11/1.28 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 1.11/1.28 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.11/1.28 apply (zenon_L789_); trivial. % 1.11/1.28 apply (zenon_L794_); trivial. % 1.11/1.28 apply (zenon_L55_); trivial. % 1.11/1.28 apply (zenon_L729_); trivial. % 1.11/1.28 apply (zenon_L795_); trivial. % 1.11/1.28 apply (zenon_L758_); trivial. % 1.11/1.28 (* end of lemma zenon_L796_ *) % 1.11/1.28 assert (zenon_L797_ : ((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(c3_1 (a1642))) -> (c0_1 (a1642)) -> (~(c2_1 (a1642))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c2_1 (a1658))) -> (c1_1 (a1658)) -> (c3_1 (a1658)) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> False). % 1.11/1.28 do 0 intro. intros zenon_Hf8 zenon_Hce zenon_Hca zenon_H162 zenon_H163 zenon_H161 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H24f zenon_Hfc zenon_Hfd zenon_Hfe zenon_H105 zenon_H107. % 1.11/1.28 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_H20. zenon_intro zenon_Hf9. % 1.11/1.28 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H9a. zenon_intro zenon_Hfa. % 1.11/1.28 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_H98. zenon_intro zenon_H99. % 1.11/1.28 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.11/1.28 apply (zenon_L59_); trivial. % 1.11/1.28 apply (zenon_L733_); trivial. % 1.11/1.28 (* end of lemma zenon_L797_ *) % 1.11/1.28 assert (zenon_L798_ : ((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> (~(hskp3)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H114 zenon_Hf1 zenon_H107 zenon_H105 zenon_H8d zenon_H84 zenon_H83 zenon_H82 zenon_H24f zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H161 zenon_H163 zenon_H162 zenon_Hca zenon_Hce. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H20. zenon_intro zenon_H115. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_Hfd. zenon_intro zenon_H116. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hfe. zenon_intro zenon_Hfc. % 1.11/1.28 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 1.11/1.28 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.11/1.28 apply (zenon_L59_); trivial. % 1.11/1.28 apply (zenon_L763_); trivial. % 1.11/1.28 apply (zenon_L797_); trivial. % 1.11/1.28 (* end of lemma zenon_L798_ *) % 1.11/1.28 assert (zenon_L799_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp10)\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> (~(hskp3)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> (~(hskp10)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((hskp10)\/((hskp18)\/(hskp11))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H159 zenon_H222 zenon_H2cc zenon_Hd zenon_H211 zenon_H5 zenon_H1bc zenon_H242 zenon_H117 zenon_Hf1 zenon_H107 zenon_H105 zenon_H8d zenon_H24f zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H161 zenon_H163 zenon_H162 zenon_Hca zenon_Hce zenon_H65 zenon_Heb zenon_He8 zenon_H82 zenon_H83 zenon_H84 zenon_H189 zenon_H1d1 zenon_H179 zenon_H17a zenon_H17b zenon_H5a zenon_H1d zenon_H30 zenon_H34 zenon_H19d zenon_H19f zenon_Hf0 zenon_H18b zenon_H132 zenon_H136 zenon_H15a. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H2b | zenon_intro zenon_H114 ]. % 1.11/1.28 apply (zenon_L144_); trivial. % 1.11/1.28 apply (zenon_L798_); trivial. % 1.11/1.28 apply (zenon_L105_); trivial. % 1.11/1.28 apply (zenon_L739_); trivial. % 1.11/1.28 (* end of lemma zenon_L799_ *) % 1.11/1.28 assert (zenon_L800_ : ((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp9))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> False). % 1.11/1.28 do 0 intro. intros zenon_Hf8 zenon_Hf2 zenon_H222 zenon_H2cc zenon_Hd zenon_H1c6 zenon_H192 zenon_H191 zenon_H1a4 zenon_H17b zenon_H17a zenon_H179 zenon_H13c zenon_H13d zenon_H13e zenon_H211 zenon_He8 zenon_Heb zenon_H242 zenon_Hd0 zenon_H95 zenon_H24f zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H161 zenon_H163 zenon_H162 zenon_Hb2 zenon_Hca zenon_Hcf zenon_Hce. % 1.11/1.28 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_H20. zenon_intro zenon_Hf9. % 1.11/1.28 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H9a. zenon_intro zenon_Hfa. % 1.11/1.28 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_H98. zenon_intro zenon_H99. % 1.11/1.28 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 1.11/1.28 apply (zenon_L769_); trivial. % 1.11/1.28 apply (zenon_L783_); trivial. % 1.11/1.28 (* end of lemma zenon_L800_ *) % 1.11/1.28 assert (zenon_L801_ : ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> (c0_1 (a1667)) -> (c2_1 (a1667)) -> (~(c1_1 (a1667))) -> (ndr1_0) -> (forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))) -> (~(hskp28)) -> (~(hskp19)) -> False). % 1.11/1.28 do 0 intro. intros zenon_H170 zenon_H79 zenon_H7a zenon_H78 zenon_H20 zenon_H1c3 zenon_H3f zenon_H13. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H171 ]. % 1.11/1.28 apply (zenon_L132_); trivial. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H40 | zenon_intro zenon_H14 ]. % 1.11/1.28 exact (zenon_H3f zenon_H40). % 1.11/1.28 exact (zenon_H13 zenon_H14). % 1.11/1.28 (* end of lemma zenon_L801_ *) % 1.11/1.28 assert (zenon_L802_ : ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (c2_1 (a1667)) -> (c0_1 (a1667)) -> (~(c1_1 (a1667))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))) -> (ndr1_0) -> (~(hskp2)) -> False). % 1.11/1.28 do 0 intro. intros zenon_H19f zenon_H7a zenon_H79 zenon_H78 zenon_H2b2 zenon_H2b1 zenon_H244 zenon_H20 zenon_H19d. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H77 | zenon_intro zenon_H1a0 ]. % 1.11/1.28 apply (zenon_L35_); trivial. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H81 | zenon_intro zenon_H19e ]. % 1.11/1.28 apply (zenon_L724_); trivial. % 1.11/1.28 exact (zenon_H19d zenon_H19e). % 1.11/1.28 (* end of lemma zenon_L802_ *) % 1.11/1.28 assert (zenon_L803_ : ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a1701)) -> (~(c1_1 (a1701))) -> (~(c0_1 (a1701))) -> (~(hskp19)) -> (~(hskp28)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (c2_1 (a1667)) -> (c0_1 (a1667)) -> (~(c1_1 (a1667))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (ndr1_0) -> (~(hskp2)) -> False). % 1.11/1.28 do 0 intro. intros zenon_H2c5 zenon_H38 zenon_H37 zenon_H36 zenon_H13 zenon_H3f zenon_H170 zenon_H19f zenon_H7a zenon_H79 zenon_H78 zenon_H2b2 zenon_H2b1 zenon_H20 zenon_H19d. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H35 | zenon_intro zenon_H2c6 ]. % 1.11/1.28 apply (zenon_L22_); trivial. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H244 ]. % 1.11/1.28 apply (zenon_L801_); trivial. % 1.11/1.28 apply (zenon_L802_); trivial. % 1.11/1.28 (* end of lemma zenon_L803_ *) % 1.11/1.28 assert (zenon_L804_ : ((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> (c1_1 (a1646)) -> (c2_1 (a1646)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1701)) -> (~(c1_1 (a1701))) -> (~(c0_1 (a1701))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H23f zenon_H5a zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H4e zenon_H4f zenon_H1ed zenon_H38 zenon_H37 zenon_H36. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H20. zenon_intro zenon_H240. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H236. zenon_intro zenon_H241. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H237. zenon_intro zenon_H238. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H21 ]. % 1.11/1.28 apply (zenon_L22_); trivial. % 1.11/1.28 apply (zenon_L498_); trivial. % 1.11/1.28 (* end of lemma zenon_L804_ *) % 1.11/1.28 assert (zenon_L805_ : ((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1701)) -> (~(c1_1 (a1701))) -> (~(c0_1 (a1701))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (~(hskp12)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H59 zenon_H242 zenon_H5a zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1ed zenon_H38 zenon_H37 zenon_H36 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H17 zenon_H2bb. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 1.11/1.28 apply (zenon_L706_); trivial. % 1.11/1.28 apply (zenon_L804_); trivial. % 1.11/1.28 (* end of lemma zenon_L805_ *) % 1.11/1.28 assert (zenon_L806_ : ((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(c1_1 (a1634))) -> (~(hskp12)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a1667)) -> (c2_1 (a1667)) -> (~(c1_1 (a1667))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H60 zenon_H61 zenon_H242 zenon_H5a zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1ed zenon_H2b0 zenon_H17 zenon_H2bb zenon_H170 zenon_H13 zenon_H79 zenon_H7a zenon_H78 zenon_H19f zenon_H19d zenon_H2b2 zenon_H2b1 zenon_H2c5. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H20. zenon_intro zenon_H62. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H38. zenon_intro zenon_H63. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H36. zenon_intro zenon_H37. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.11/1.28 apply (zenon_L803_); trivial. % 1.11/1.28 apply (zenon_L805_); trivial. % 1.11/1.28 (* end of lemma zenon_L806_ *) % 1.11/1.28 assert (zenon_L807_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(c1_1 (a1634))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a1667)) -> (c2_1 (a1667)) -> (~(c1_1 (a1667))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp12)) -> (~(hskp5)) -> ((hskp12)\/((hskp5)\/(hskp24))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H65 zenon_H61 zenon_H242 zenon_H5a zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1ed zenon_H2b0 zenon_H2bb zenon_H170 zenon_H13 zenon_H79 zenon_H7a zenon_H78 zenon_H19f zenon_H19d zenon_H2b2 zenon_H2b1 zenon_H2c5 zenon_H17 zenon_H3 zenon_H2a0. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.11/1.28 apply (zenon_L400_); trivial. % 1.11/1.28 apply (zenon_L806_); trivial. % 1.11/1.28 (* end of lemma zenon_L807_ *) % 1.11/1.28 assert (zenon_L808_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((hskp12)\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (~(hskp12)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> (~(c1_1 (a1634))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> (ndr1_0) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> (~(hskp10)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> False). % 1.11/1.28 do 0 intro. intros zenon_Hf0 zenon_H68 zenon_H222 zenon_H1bc zenon_H5 zenon_H211 zenon_H2a0 zenon_H3 zenon_H17 zenon_H2c5 zenon_H2b1 zenon_H2b2 zenon_H19d zenon_H19f zenon_H170 zenon_H2bb zenon_H2b0 zenon_H1ed zenon_H5a zenon_H242 zenon_H61 zenon_H65 zenon_H20 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H189 zenon_H1d1. % 1.11/1.28 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 1.11/1.28 apply (zenon_L159_); trivial. % 1.11/1.28 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_H20. zenon_intro zenon_Hf6. % 1.11/1.28 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H79. zenon_intro zenon_Hf7. % 1.11/1.28 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H7a. zenon_intro zenon_H78. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.11/1.28 apply (zenon_L807_); trivial. % 1.11/1.28 apply (zenon_L765_); trivial. % 1.11/1.28 (* end of lemma zenon_L808_ *) % 1.11/1.28 assert (zenon_L809_ : ((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (~(hskp2)) -> (~(c1_1 (a1667))) -> (c0_1 (a1667)) -> (c2_1 (a1667)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp9)) -> False). % 1.11/1.28 do 0 intro. intros zenon_H23f zenon_H286 zenon_H12a zenon_H129 zenon_H128 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H13c zenon_H13d zenon_H13e zenon_H1ab zenon_H19d zenon_H78 zenon_H79 zenon_H7a zenon_H19f zenon_Hd. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H20. zenon_intro zenon_H240. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H236. zenon_intro zenon_H241. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H237. zenon_intro zenon_H238. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H35 | zenon_intro zenon_H287 ]. % 1.11/1.28 apply (zenon_L200_); trivial. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H174 | zenon_intro zenon_He ]. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H77 | zenon_intro zenon_H1a0 ]. % 1.11/1.28 apply (zenon_L35_); trivial. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H81 | zenon_intro zenon_H19e ]. % 1.11/1.28 apply (zenon_L507_); trivial. % 1.11/1.28 exact (zenon_H19d zenon_H19e). % 1.11/1.28 exact (zenon_Hd zenon_He). % 1.11/1.28 (* end of lemma zenon_L809_ *) % 1.11/1.28 assert (zenon_L810_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (~(hskp25)) -> (~(hskp28)) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (ndr1_0) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (~(hskp12)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H242 zenon_H1ed zenon_H191 zenon_H192 zenon_H265 zenon_H19 zenon_H3f zenon_H19d zenon_H19f zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H20 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H17 zenon_H2bb. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 1.11/1.28 apply (zenon_L706_); trivial. % 1.11/1.28 apply (zenon_L508_); trivial. % 1.11/1.28 (* end of lemma zenon_L810_ *) % 1.11/1.28 assert (zenon_L811_ : ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (~(hskp2)) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (ndr1_0) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16)))))) -> (c1_1 (a1646)) -> (c2_1 (a1646)) -> (c3_1 (a1646)) -> False). % 1.11/1.28 do 0 intro. intros zenon_H1ed zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H19d zenon_H244 zenon_H2b1 zenon_H2b2 zenon_H191 zenon_H192 zenon_H19f zenon_H20 zenon_H21 zenon_H4e zenon_H4f zenon_H5e. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1ee ]. % 1.11/1.28 apply (zenon_L158_); trivial. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H56 | zenon_intro zenon_H1e9 ]. % 1.11/1.28 apply (zenon_L725_); trivial. % 1.11/1.28 apply (zenon_L161_); trivial. % 1.11/1.28 (* end of lemma zenon_L811_ *) % 1.11/1.28 assert (zenon_L812_ : ((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a1701)) -> (~(c1_1 (a1701))) -> (~(c0_1 (a1701))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H59 zenon_H5a zenon_H1a4 zenon_H191 zenon_H192 zenon_H1ed zenon_H2b1 zenon_H2b2 zenon_H19d zenon_H19f zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H2c5 zenon_H38 zenon_H37 zenon_H36. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H21 ]. % 1.11/1.28 apply (zenon_L22_); trivial. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H35 | zenon_intro zenon_H2c6 ]. % 1.11/1.28 apply (zenon_L22_); trivial. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H244 ]. % 1.11/1.28 apply (zenon_L191_); trivial. % 1.11/1.28 apply (zenon_L811_); trivial. % 1.11/1.28 (* end of lemma zenon_L812_ *) % 1.11/1.28 assert (zenon_L813_ : ((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (~(hskp12)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a1648))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H60 zenon_H34 zenon_H242 zenon_H1ed zenon_H191 zenon_H192 zenon_H265 zenon_H19d zenon_H19f zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H17 zenon_H2bb zenon_H2c5 zenon_H1a4 zenon_H5a zenon_H61. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H20. zenon_intro zenon_H62. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H38. zenon_intro zenon_H63. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H36. zenon_intro zenon_H37. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.11/1.28 apply (zenon_L810_); trivial. % 1.11/1.28 apply (zenon_L812_); trivial. % 1.11/1.28 apply (zenon_L322_); trivial. % 1.11/1.28 (* end of lemma zenon_L813_ *) % 1.11/1.28 assert (zenon_L814_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a1648))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> (~(hskp12)) -> (~(hskp5)) -> ((hskp12)\/((hskp5)\/(hskp24))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H65 zenon_H34 zenon_H242 zenon_H1ed zenon_H191 zenon_H192 zenon_H265 zenon_H19d zenon_H19f zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2bb zenon_H2c5 zenon_H1a4 zenon_H5a zenon_H61 zenon_H17 zenon_H3 zenon_H2a0. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.11/1.28 apply (zenon_L400_); trivial. % 1.11/1.28 apply (zenon_L813_); trivial. % 1.11/1.28 (* end of lemma zenon_L814_ *) % 1.11/1.28 assert (zenon_L815_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (~(hskp25)) -> (~(hskp28)) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (ndr1_0) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (~(hskp9)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp9))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H242 zenon_H1ed zenon_H191 zenon_H192 zenon_H265 zenon_H19 zenon_H3f zenon_H19d zenon_H19f zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H20 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_Hd zenon_H2cc. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 1.11/1.28 apply (zenon_L735_); trivial. % 1.11/1.28 apply (zenon_L508_); trivial. % 1.11/1.28 (* end of lemma zenon_L815_ *) % 1.11/1.28 assert (zenon_L816_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp5))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> (~(hskp19)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> (ndr1_0) -> (~(c2_1 (a1658))) -> (c1_1 (a1658)) -> (c3_1 (a1658)) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> False). % 1.11/1.28 do 0 intro. intros zenon_Hce zenon_H61 zenon_H242 zenon_H2a9 zenon_H1ed zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H3 zenon_H294 zenon_H13 zenon_H170 zenon_H20 zenon_Hfc zenon_Hfd zenon_Hfe zenon_H105 zenon_H107. % 1.11/1.28 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.11/1.28 apply (zenon_L59_); trivial. % 1.11/1.28 apply (zenon_L504_); trivial. % 1.11/1.28 (* end of lemma zenon_L816_ *) % 1.11/1.28 assert (zenon_L817_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> (~(hskp18)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a1658)) -> (c1_1 (a1658)) -> (~(c2_1 (a1658))) -> (ndr1_0) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H68 zenon_H11b zenon_H119 zenon_H107 zenon_H105 zenon_Hfe zenon_Hfd zenon_Hfc zenon_H20 zenon_H170 zenon_H294 zenon_H3 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1ed zenon_H2a9 zenon_H242 zenon_H61 zenon_Hce. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.11/1.28 apply (zenon_L816_); trivial. % 1.11/1.28 apply (zenon_L145_); trivial. % 1.11/1.28 (* end of lemma zenon_L817_ *) % 1.11/1.28 assert (zenon_L818_ : ((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> (~(hskp11)) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp5))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp29)\/(hskp5))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H114 zenon_H136 zenon_H132 zenon_H2d zenon_H12a zenon_H129 zenon_H128 zenon_Hce zenon_H61 zenon_H242 zenon_H2a9 zenon_H1ed zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H3 zenon_H294 zenon_H170 zenon_H105 zenon_H107 zenon_H11b zenon_H68. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H20. zenon_intro zenon_H115. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_Hfd. zenon_intro zenon_H116. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hfe. zenon_intro zenon_Hfc. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H119 | zenon_intro zenon_H131 ]. % 1.11/1.28 apply (zenon_L817_); trivial. % 1.11/1.28 apply (zenon_L70_); trivial. % 1.11/1.28 (* end of lemma zenon_L818_ *) % 1.11/1.28 assert (zenon_L819_ : ((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H15d zenon_H2c5 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H192 zenon_H191 zenon_H1a4 zenon_H1ab zenon_H13e zenon_H13d zenon_H13c zenon_H2b2 zenon_H2b1 zenon_H2b0. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H35 | zenon_intro zenon_H2c6 ]. % 1.11/1.28 apply (zenon_L200_); trivial. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H244 ]. % 1.11/1.28 apply (zenon_L191_); trivial. % 1.11/1.28 apply (zenon_L744_); trivial. % 1.11/1.28 (* end of lemma zenon_L819_ *) % 1.11/1.28 assert (zenon_L820_ : ((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((hskp12)\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c3_1 (a1648))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H155 zenon_H15a zenon_H1ab zenon_H2a0 zenon_H3 zenon_H61 zenon_H5a zenon_H1a4 zenon_H2c5 zenon_H2bb zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H19f zenon_H19d zenon_H265 zenon_H192 zenon_H191 zenon_H1ed zenon_H242 zenon_H34 zenon_H65. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.11/1.28 apply (zenon_L814_); trivial. % 1.11/1.28 apply (zenon_L819_); trivial. % 1.11/1.28 (* end of lemma zenon_L820_ *) % 1.11/1.28 assert (zenon_L821_ : ((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((hskp12)\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (~(hskp12)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> (~(c1_1 (a1634))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> False). % 1.11/1.28 do 0 intro. intros zenon_Hf5 zenon_H68 zenon_H2b9 zenon_H179 zenon_H17a zenon_H17b zenon_H2a0 zenon_H3 zenon_H17 zenon_H2c5 zenon_H2b1 zenon_H2b2 zenon_H19d zenon_H19f zenon_H170 zenon_H2bb zenon_H2b0 zenon_H1ed zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H5a zenon_H242 zenon_H61 zenon_H65. % 1.11/1.28 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_H20. zenon_intro zenon_Hf6. % 1.11/1.28 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H79. zenon_intro zenon_Hf7. % 1.11/1.28 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H7a. zenon_intro zenon_H78. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.11/1.28 apply (zenon_L807_); trivial. % 1.11/1.28 apply (zenon_L751_); trivial. % 1.11/1.28 (* end of lemma zenon_L821_ *) % 1.11/1.28 assert (zenon_L822_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((hskp12)\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (~(hskp12)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> (~(c1_1 (a1634))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> (ndr1_0) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> (~(hskp10)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> False). % 1.11/1.28 do 0 intro. intros zenon_Hf0 zenon_H68 zenon_H2b9 zenon_H179 zenon_H17a zenon_H17b zenon_H2a0 zenon_H3 zenon_H17 zenon_H2c5 zenon_H2b1 zenon_H2b2 zenon_H19d zenon_H19f zenon_H170 zenon_H2bb zenon_H2b0 zenon_H1ed zenon_H5a zenon_H242 zenon_H61 zenon_H65 zenon_H20 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H189 zenon_H1d1. % 1.11/1.28 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 1.11/1.28 apply (zenon_L159_); trivial. % 1.11/1.28 apply (zenon_L821_); trivial. % 1.11/1.28 (* end of lemma zenon_L822_ *) % 1.11/1.28 assert (zenon_L823_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> (~(hskp11)) -> ((hskp10)\/((hskp18)\/(hskp11))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (ndr1_0) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(c1_1 (a1634))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp5)) -> ((hskp12)\/((hskp5)\/(hskp24))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H15a zenon_H136 zenon_H132 zenon_H2d zenon_H18b zenon_H1d1 zenon_H189 zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H20 zenon_H65 zenon_H61 zenon_H242 zenon_H5a zenon_H1ed zenon_H2b0 zenon_H2bb zenon_H170 zenon_H19f zenon_H19d zenon_H2b2 zenon_H2b1 zenon_H2c5 zenon_H3 zenon_H2a0 zenon_H17b zenon_H17a zenon_H179 zenon_H2b9 zenon_H68 zenon_Hf0. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.11/1.28 apply (zenon_L822_); trivial. % 1.11/1.28 apply (zenon_L105_); trivial. % 1.11/1.28 (* end of lemma zenon_L823_ *) % 1.11/1.28 assert (zenon_L824_ : ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2))))) -> (~(c0_1 (a1641))) -> (ndr1_0) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H5a zenon_H17b zenon_H17a zenon_Hd4 zenon_H179 zenon_H20 zenon_H13c zenon_H13d zenon_H13e zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H128 zenon_H129 zenon_H12a zenon_H1ab. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H21 ]. % 1.11/1.28 apply (zenon_L200_); trivial. % 1.11/1.28 apply (zenon_L94_); trivial. % 1.11/1.28 (* end of lemma zenon_L824_ *) % 1.11/1.28 assert (zenon_L825_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp10)\/(hskp1))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))) -> (~(c0_1 (a1650))) -> (ndr1_0) -> (~(hskp10)) -> (~(hskp1)) -> False). % 1.11/1.28 do 0 intro. intros zenon_H1bc zenon_H13e zenon_H13d zenon_H43 zenon_H13c zenon_H20 zenon_H189 zenon_H5. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1bd ]. % 1.11/1.28 apply (zenon_L186_); trivial. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H18a | zenon_intro zenon_H6 ]. % 1.11/1.28 exact (zenon_H189 zenon_H18a). % 1.11/1.28 exact (zenon_H5 zenon_H6). % 1.11/1.28 (* end of lemma zenon_L825_ *) % 1.11/1.28 assert (zenon_L826_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp10)\/(hskp1))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((hskp12)\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> (~(c1_1 (a1634))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> (ndr1_0) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> (~(hskp10)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> ((hskp10)\/((hskp18)\/(hskp11))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H159 zenon_H5 zenon_H1bc zenon_H1ab zenon_Hf0 zenon_H68 zenon_H2b9 zenon_H179 zenon_H17a zenon_H17b zenon_H2a0 zenon_H3 zenon_H2c5 zenon_H2b1 zenon_H2b2 zenon_H19d zenon_H19f zenon_H170 zenon_H2bb zenon_H2b0 zenon_H1ed zenon_H5a zenon_H242 zenon_H61 zenon_H65 zenon_H20 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H189 zenon_H1d1 zenon_H18b zenon_H132 zenon_H136 zenon_H15a. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.11/1.28 apply (zenon_L823_); trivial. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.11/1.28 apply (zenon_L822_); trivial. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H2ba ]. % 1.11/1.28 apply (zenon_L824_); trivial. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H2af | zenon_intro zenon_H43 ]. % 1.11/1.28 apply (zenon_L703_); trivial. % 1.11/1.28 apply (zenon_L825_); trivial. % 1.11/1.28 (* end of lemma zenon_L826_ *) % 1.11/1.28 assert (zenon_L827_ : ((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (~(hskp12)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> (~(c1_1 (a1691))) -> (c2_1 (a1691)) -> (c3_1 (a1691)) -> (~(hskp19)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H60 zenon_H61 zenon_H242 zenon_H5a zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1ed zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H17 zenon_H2bb zenon_Hc0 zenon_Hc1 zenon_Hc2 zenon_H13 zenon_H170. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H20. zenon_intro zenon_H62. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H38. zenon_intro zenon_H63. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H36. zenon_intro zenon_H37. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.11/1.28 apply (zenon_L91_); trivial. % 1.11/1.28 apply (zenon_L805_); trivial. % 1.11/1.28 (* end of lemma zenon_L827_ *) % 1.11/1.28 assert (zenon_L828_ : ((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> (~(hskp19)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> (~(hskp12)) -> (~(hskp5)) -> ((hskp12)\/((hskp5)\/(hskp24))) -> False). % 1.11/1.28 do 0 intro. intros zenon_Hc9 zenon_H65 zenon_H61 zenon_H242 zenon_H5a zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1ed zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2bb zenon_H13 zenon_H170 zenon_H17 zenon_H3 zenon_H2a0. % 1.11/1.28 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H20. zenon_intro zenon_Hcb. % 1.11/1.28 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc1. zenon_intro zenon_Hcc. % 1.11/1.28 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc2. zenon_intro zenon_Hc0. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.11/1.28 apply (zenon_L400_); trivial. % 1.11/1.28 apply (zenon_L827_); trivial. % 1.11/1.28 (* end of lemma zenon_L828_ *) % 1.11/1.28 assert (zenon_L829_ : ((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> (~(hskp3)) -> ((hskp12)\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (~(hskp12)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H114 zenon_H68 zenon_H2b9 zenon_H179 zenon_H17a zenon_H17b zenon_H107 zenon_H105 zenon_H2a0 zenon_H3 zenon_H17 zenon_H170 zenon_H2bb zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H1ed zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H5a zenon_H242 zenon_H61 zenon_H65 zenon_Hce. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H20. zenon_intro zenon_H115. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_Hfd. zenon_intro zenon_H116. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hfe. zenon_intro zenon_Hfc. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.11/1.28 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.11/1.28 apply (zenon_L59_); trivial. % 1.11/1.28 apply (zenon_L828_); trivial. % 1.11/1.28 apply (zenon_L751_); trivial. % 1.11/1.28 (* end of lemma zenon_L829_ *) % 1.11/1.28 assert (zenon_L830_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> (~(hskp3)) -> ((hskp12)\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> (~(hskp11)) -> (~(hskp12)) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c3_1 (a1648))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H117 zenon_H68 zenon_H2b9 zenon_H179 zenon_H17a zenon_H17b zenon_H107 zenon_H105 zenon_H2a0 zenon_H3 zenon_H170 zenon_Hce zenon_H34 zenon_H30 zenon_H2d zenon_H17 zenon_H1d zenon_H61 zenon_H5a zenon_H1a4 zenon_H2c5 zenon_H2bb zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H19f zenon_H19d zenon_H265 zenon_H192 zenon_H191 zenon_H1ed zenon_H242 zenon_H65. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H2b | zenon_intro zenon_H114 ]. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.11/1.28 apply (zenon_L21_); trivial. % 1.11/1.28 apply (zenon_L813_); trivial. % 1.11/1.28 apply (zenon_L829_); trivial. % 1.11/1.28 (* end of lemma zenon_L830_ *) % 1.11/1.28 assert (zenon_L831_ : ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2))))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7)))))) -> (ndr1_0) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H5a zenon_Hd4 zenon_H97 zenon_H20 zenon_H179 zenon_H17a zenon_H17b zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H128 zenon_H129 zenon_H12a zenon_H1ab. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H21 ]. % 1.11/1.28 apply (zenon_L515_); trivial. % 1.11/1.28 apply (zenon_L94_); trivial. % 1.11/1.28 (* end of lemma zenon_L831_ *) % 1.11/1.28 assert (zenon_L832_ : ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp28)) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))) -> (ndr1_0) -> (~(hskp2)) -> False). % 1.11/1.28 do 0 intro. intros zenon_H19f zenon_H3f zenon_H191 zenon_H192 zenon_H128 zenon_H129 zenon_H12a zenon_H1ff zenon_H2b2 zenon_H2b1 zenon_H244 zenon_H20 zenon_H19d. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H77 | zenon_intro zenon_H1a0 ]. % 1.11/1.28 apply (zenon_L176_); trivial. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H81 | zenon_intro zenon_H19e ]. % 1.11/1.28 apply (zenon_L724_); trivial. % 1.11/1.28 exact (zenon_H19d zenon_H19e). % 1.11/1.28 (* end of lemma zenon_L832_ *) % 1.11/1.28 assert (zenon_L833_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c1_1 (a1664))) -> (~(c2_1 (a1664))) -> (c0_1 (a1664)) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp28)) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (ndr1_0) -> (~(hskp2)) -> False). % 1.11/1.28 do 0 intro. intros zenon_H24f zenon_H6a zenon_H6b zenon_H6c zenon_H179 zenon_H17a zenon_H17b zenon_H1ab zenon_H19f zenon_H3f zenon_H191 zenon_H192 zenon_H128 zenon_H129 zenon_H12a zenon_H1ff zenon_H2b2 zenon_H2b1 zenon_H20 zenon_H19d. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H97 | zenon_intro zenon_H250 ]. % 1.11/1.28 apply (zenon_L119_); trivial. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H127 | zenon_intro zenon_H244 ]. % 1.11/1.28 apply (zenon_L69_); trivial. % 1.11/1.28 apply (zenon_L832_); trivial. % 1.11/1.28 (* end of lemma zenon_L833_ *) % 1.11/1.28 assert (zenon_L834_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> (c3_1 (a1646)) -> (c2_1 (a1646)) -> (c1_1 (a1646)) -> (ndr1_0) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))) -> (~(hskp2)) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp13)) -> (~(hskp11)) -> False). % 1.11/1.28 do 0 intro. intros zenon_H30 zenon_H5e zenon_H4f zenon_H4e zenon_H20 zenon_H19f zenon_H192 zenon_H191 zenon_H2b2 zenon_H2b1 zenon_H244 zenon_H19d zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1ed zenon_H2b zenon_H2d. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H21 | zenon_intro zenon_H33 ]. % 1.11/1.28 apply (zenon_L811_); trivial. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H2c | zenon_intro zenon_H2e ]. % 1.11/1.28 exact (zenon_H2b zenon_H2c). % 1.11/1.28 exact (zenon_H2d zenon_H2e). % 1.11/1.28 (* end of lemma zenon_L834_ *) % 1.11/1.28 assert (zenon_L835_ : ((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (~(hskp13)) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> False). % 1.11/1.28 do 0 intro. intros zenon_Hef zenon_H61 zenon_H1ed zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H2b zenon_H2d zenon_H30 zenon_H1ab zenon_H12a zenon_H129 zenon_H128 zenon_H17b zenon_H17a zenon_H179 zenon_H19f zenon_H19d zenon_H2b2 zenon_H2b1 zenon_H191 zenon_H192 zenon_H1ff zenon_H24f. % 1.11/1.28 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H20. zenon_intro zenon_Hf3. % 1.11/1.28 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H6c. zenon_intro zenon_Hf4. % 1.11/1.28 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H6a. zenon_intro zenon_H6b. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.11/1.28 apply (zenon_L833_); trivial. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H97 | zenon_intro zenon_H250 ]. % 1.11/1.28 apply (zenon_L119_); trivial. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H127 | zenon_intro zenon_H244 ]. % 1.11/1.28 apply (zenon_L69_); trivial. % 1.11/1.28 apply (zenon_L834_); trivial. % 1.11/1.28 (* end of lemma zenon_L835_ *) % 1.11/1.28 assert (zenon_L836_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp13)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> ((hskp15)\/((hskp19)\/(hskp1))) -> (~(hskp1)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (~(c1_1 (a1634))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp7)) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H118 zenon_H1ed zenon_H2b zenon_H30 zenon_H15 zenon_H5 zenon_H2b9 zenon_H2b0 zenon_H5a zenon_H179 zenon_H17a zenon_H17b zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H128 zenon_H129 zenon_H12a zenon_H1ab zenon_H19f zenon_H19d zenon_H2b2 zenon_H2b1 zenon_H191 zenon_H192 zenon_H1ff zenon_H24f zenon_H9 zenon_H2d zenon_H172 zenon_H61 zenon_H68. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.11/1.28 apply (zenon_L11_); trivial. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H20. zenon_intro zenon_H66. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H45. zenon_intro zenon_H67. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H46. zenon_intro zenon_H44. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H2ba ]. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H97 | zenon_intro zenon_H250 ]. % 1.11/1.28 apply (zenon_L831_); trivial. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H127 | zenon_intro zenon_H244 ]. % 1.11/1.28 apply (zenon_L69_); trivial. % 1.11/1.28 apply (zenon_L832_); trivial. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H2af | zenon_intro zenon_H43 ]. % 1.11/1.28 apply (zenon_L703_); trivial. % 1.11/1.28 apply (zenon_L25_); trivial. % 1.11/1.28 apply (zenon_L90_); trivial. % 1.11/1.28 apply (zenon_L835_); trivial. % 1.11/1.28 (* end of lemma zenon_L836_ *) % 1.11/1.28 assert (zenon_L837_ : ((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (~(c2_1 (a1658))) -> (c1_1 (a1658)) -> (c3_1 (a1658)) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> False). % 1.11/1.28 do 0 intro. intros zenon_Hef zenon_Hce zenon_Hca zenon_H179 zenon_H17a zenon_H17b zenon_H128 zenon_H129 zenon_H12a zenon_H1ab zenon_Hfc zenon_Hfd zenon_Hfe zenon_H105 zenon_H107. % 1.11/1.28 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H20. zenon_intro zenon_Hf3. % 1.11/1.28 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H6c. zenon_intro zenon_Hf4. % 1.11/1.28 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H6a. zenon_intro zenon_H6b. % 1.11/1.28 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.11/1.28 apply (zenon_L59_); trivial. % 1.11/1.28 apply (zenon_L120_); trivial. % 1.11/1.28 (* end of lemma zenon_L837_ *) % 1.11/1.28 assert (zenon_L838_ : ((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> (~(hskp1)) -> ((hskp15)\/((hskp19)\/(hskp1))) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> (~(hskp11)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H114 zenon_H118 zenon_Hca zenon_H179 zenon_H17a zenon_H17b zenon_H1ab zenon_H68 zenon_Hce zenon_H11b zenon_H105 zenon_H107 zenon_H5 zenon_H15 zenon_H128 zenon_H129 zenon_H12a zenon_H2d zenon_H132 zenon_H136. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H20. zenon_intro zenon_H115. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_Hfd. zenon_intro zenon_H116. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hfe. zenon_intro zenon_Hfc. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 1.11/1.28 apply (zenon_L179_); trivial. % 1.11/1.28 apply (zenon_L837_); trivial. % 1.11/1.28 (* end of lemma zenon_L838_ *) % 1.11/1.28 assert (zenon_L839_ : ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp3))) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2))))) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> (forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))) -> (ndr1_0) -> (~(hskp3)) -> False). % 1.11/1.28 do 0 intro. intros zenon_H150 zenon_H17a zenon_H179 zenon_Hd4 zenon_H161 zenon_H163 zenon_H162 zenon_H127 zenon_H20 zenon_H105. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H13b | zenon_intro zenon_H153 ]. % 1.11/1.28 apply (zenon_L128_); trivial. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_H145 | zenon_intro zenon_H106 ]. % 1.11/1.28 apply (zenon_L148_); trivial. % 1.11/1.28 exact (zenon_H105 zenon_H106). % 1.11/1.28 (* end of lemma zenon_L839_ *) % 1.11/1.28 assert (zenon_L840_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((hskp15)\/((hskp19)\/(hskp1))) -> (~(hskp1)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (~(c1_1 (a1634))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp13)) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H118 zenon_H15 zenon_H5 zenon_H2b9 zenon_H2b0 zenon_H5a zenon_H179 zenon_H17a zenon_H17b zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H128 zenon_H129 zenon_H12a zenon_H1ab zenon_H150 zenon_H105 zenon_H161 zenon_H163 zenon_H162 zenon_H19f zenon_H19d zenon_H2b2 zenon_H2b1 zenon_H191 zenon_H192 zenon_H1ff zenon_H24f zenon_H1ed zenon_H2b zenon_H2d zenon_H30 zenon_H61 zenon_H68. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.11/1.28 apply (zenon_L11_); trivial. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H20. zenon_intro zenon_H66. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H45. zenon_intro zenon_H67. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H46. zenon_intro zenon_H44. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H2ba ]. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H97 | zenon_intro zenon_H250 ]. % 1.11/1.28 apply (zenon_L831_); trivial. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H127 | zenon_intro zenon_H244 ]. % 1.11/1.28 apply (zenon_L839_); trivial. % 1.11/1.28 apply (zenon_L832_); trivial. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H2af | zenon_intro zenon_H43 ]. % 1.11/1.28 apply (zenon_L703_); trivial. % 1.11/1.28 apply (zenon_L25_); trivial. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H2ba ]. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H97 | zenon_intro zenon_H250 ]. % 1.11/1.28 apply (zenon_L831_); trivial. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H127 | zenon_intro zenon_H244 ]. % 1.11/1.28 apply (zenon_L839_); trivial. % 1.11/1.28 apply (zenon_L834_); trivial. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H2af | zenon_intro zenon_H43 ]. % 1.11/1.28 apply (zenon_L703_); trivial. % 1.11/1.28 apply (zenon_L25_); trivial. % 1.11/1.28 apply (zenon_L835_); trivial. % 1.11/1.28 (* end of lemma zenon_L840_ *) % 1.11/1.28 assert (zenon_L841_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> (~(c3_1 (a1642))) -> (c0_1 (a1642)) -> (~(c2_1 (a1642))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp3))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (~(hskp1)) -> ((hskp15)\/((hskp19)\/(hskp1))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a1648))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> (~(hskp5)) -> ((hskp12)\/((hskp5)\/(hskp24))) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658))))))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H15a zenon_Hca zenon_H11b zenon_H132 zenon_H136 zenon_H24f zenon_H1ff zenon_H162 zenon_H163 zenon_H161 zenon_H150 zenon_H1ab zenon_H5 zenon_H15 zenon_H118 zenon_H65 zenon_H242 zenon_H1ed zenon_H191 zenon_H192 zenon_H265 zenon_H19d zenon_H19f zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2bb zenon_H2c5 zenon_H1a4 zenon_H5a zenon_H61 zenon_H1d zenon_H2d zenon_H30 zenon_H34 zenon_Hce zenon_H170 zenon_H3 zenon_H2a0 zenon_H105 zenon_H107 zenon_H17b zenon_H17a zenon_H179 zenon_H2b9 zenon_H68 zenon_H117. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.11/1.28 apply (zenon_L830_); trivial. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 1.11/1.28 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 1.11/1.28 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H2b | zenon_intro zenon_H114 ]. % 1.11/1.28 apply (zenon_L840_); trivial. % 1.11/1.28 apply (zenon_L838_); trivial. % 1.11/1.28 (* end of lemma zenon_L841_ *) % 1.11/1.28 assert (zenon_L842_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (ndr1_0) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (~(hskp12)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> False). % 1.11/1.28 do 0 intro. intros zenon_H242 zenon_H1ed zenon_H191 zenon_H192 zenon_H82 zenon_H83 zenon_H84 zenon_H19d zenon_H19f zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H20 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H17 zenon_H2bb. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 1.11/1.29 apply (zenon_L706_); trivial. % 1.11/1.29 apply (zenon_L526_); trivial. % 1.11/1.29 (* end of lemma zenon_L842_ *) % 1.11/1.29 assert (zenon_L843_ : ((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a1648))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H155 zenon_H15a zenon_H2c5 zenon_H1a4 zenon_H1ab zenon_H2bb zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H19f zenon_H19d zenon_H84 zenon_H83 zenon_H82 zenon_H192 zenon_H191 zenon_H1ed zenon_H242. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.11/1.29 apply (zenon_L842_); trivial. % 1.11/1.29 apply (zenon_L819_); trivial. % 1.11/1.29 (* end of lemma zenon_L843_ *) % 1.11/1.29 assert (zenon_L844_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (c0_1 (a1667)) -> (c2_1 (a1667)) -> (~(c1_1 (a1667))) -> (ndr1_0) -> (forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))) -> (~(hskp12)) -> False). % 1.11/1.29 do 0 intro. intros zenon_H112 zenon_H229 zenon_H228 zenon_H227 zenon_H79 zenon_H7a zenon_H78 zenon_H20 zenon_H1c3 zenon_H17. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H109 | zenon_intro zenon_H113 ]. % 1.11/1.29 apply (zenon_L223_); trivial. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H18 ]. % 1.11/1.29 apply (zenon_L132_); trivial. % 1.11/1.29 exact (zenon_H17 zenon_H18). % 1.11/1.29 (* end of lemma zenon_L844_ *) % 1.11/1.29 assert (zenon_L845_ : ((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp5)) -> ((hskp12)\/((hskp5)\/(hskp24))) -> False). % 1.11/1.29 do 0 intro. intros zenon_Hf5 zenon_H65 zenon_H2c5 zenon_H2b1 zenon_H2b2 zenon_H19d zenon_H19f zenon_H227 zenon_H228 zenon_H229 zenon_H112 zenon_H17 zenon_H3 zenon_H2a0. % 1.11/1.29 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_H20. zenon_intro zenon_Hf6. % 1.11/1.29 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H79. zenon_intro zenon_Hf7. % 1.11/1.29 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H7a. zenon_intro zenon_H78. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.11/1.29 apply (zenon_L400_); trivial. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H20. zenon_intro zenon_H62. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H38. zenon_intro zenon_H63. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H36. zenon_intro zenon_H37. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H35 | zenon_intro zenon_H2c6 ]. % 1.11/1.29 apply (zenon_L22_); trivial. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H244 ]. % 1.11/1.29 apply (zenon_L844_); trivial. % 1.11/1.29 apply (zenon_L802_); trivial. % 1.11/1.29 (* end of lemma zenon_L845_ *) % 1.11/1.29 assert (zenon_L846_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> ((hskp10)\/((hskp18)\/(hskp11))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (ndr1_0) -> ((hskp12)\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H15a zenon_H136 zenon_H132 zenon_H18b zenon_H259 zenon_H2d zenon_H189 zenon_H1d1 zenon_H229 zenon_H228 zenon_H227 zenon_H20 zenon_H2a0 zenon_H3 zenon_H112 zenon_H19f zenon_H19d zenon_H2b2 zenon_H2b1 zenon_H2c5 zenon_H65 zenon_Hf0. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.11/1.29 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 1.11/1.29 apply (zenon_L251_); trivial. % 1.11/1.29 apply (zenon_L845_); trivial. % 1.11/1.29 apply (zenon_L105_); trivial. % 1.11/1.29 (* end of lemma zenon_L846_ *) % 1.11/1.29 assert (zenon_L847_ : ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (~(hskp10)) -> (~(hskp16)) -> (~(c0_1 (a1638))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (ndr1_0) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> False). % 1.11/1.29 do 0 intro. intros zenon_H2ce zenon_H189 zenon_H73 zenon_H227 zenon_H229 zenon_H228 zenon_H1d1 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H1ae zenon_H20 zenon_H13c zenon_H13d zenon_H13e. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H251 | zenon_intro zenon_H2ba ]. % 1.11/1.29 apply (zenon_L250_); trivial. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H2af | zenon_intro zenon_H43 ]. % 1.11/1.29 apply (zenon_L703_); trivial. % 1.11/1.29 apply (zenon_L186_); trivial. % 1.11/1.29 (* end of lemma zenon_L847_ *) % 1.11/1.29 assert (zenon_L848_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp10)\/(hskp1))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (ndr1_0) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> (~(c0_1 (a1638))) -> (~(hskp16)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (~(hskp10)) -> (~(hskp1)) -> False). % 1.11/1.29 do 0 intro. intros zenon_H1bc zenon_H13e zenon_H13d zenon_H13c zenon_H20 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H1d1 zenon_H228 zenon_H229 zenon_H227 zenon_H73 zenon_H2ce zenon_H189 zenon_H5. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1bd ]. % 1.11/1.29 apply (zenon_L847_); trivial. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H18a | zenon_intro zenon_H6 ]. % 1.11/1.29 exact (zenon_H189 zenon_H18a). % 1.11/1.29 exact (zenon_H5 zenon_H6). % 1.11/1.29 (* end of lemma zenon_L848_ *) % 1.11/1.29 assert (zenon_L849_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp5)) -> ((hskp12)\/((hskp5)\/(hskp24))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (ndr1_0) -> (~(c0_1 (a1638))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(hskp10)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp10)\/(hskp1))) -> False). % 1.11/1.29 do 0 intro. intros zenon_Hf0 zenon_H65 zenon_H2c5 zenon_H19d zenon_H19f zenon_H112 zenon_H17 zenon_H3 zenon_H2a0 zenon_H2ce zenon_H13e zenon_H13d zenon_H13c zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H20 zenon_H227 zenon_H229 zenon_H228 zenon_H189 zenon_H1d1 zenon_H5 zenon_H1bc. % 1.11/1.29 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 1.11/1.29 apply (zenon_L848_); trivial. % 1.11/1.29 apply (zenon_L845_); trivial. % 1.11/1.29 (* end of lemma zenon_L849_ *) % 1.11/1.29 assert (zenon_L850_ : ((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (~(hskp10)) -> (~(hskp16)) -> (~(c0_1 (a1638))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H64 zenon_H2ce zenon_H189 zenon_H73 zenon_H227 zenon_H229 zenon_H228 zenon_H1d1 zenon_H2b2 zenon_H2b1 zenon_H2b0. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H20. zenon_intro zenon_H66. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H45. zenon_intro zenon_H67. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H46. zenon_intro zenon_H44. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H251 | zenon_intro zenon_H2ba ]. % 1.11/1.29 apply (zenon_L250_); trivial. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H2af | zenon_intro zenon_H43 ]. % 1.11/1.29 apply (zenon_L703_); trivial. % 1.11/1.29 apply (zenon_L25_); trivial. % 1.11/1.29 (* end of lemma zenon_L850_ *) % 1.11/1.29 assert (zenon_L851_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (~(c0_1 (a1638))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(hskp16)) -> (~(hskp10)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (~(hskp15)) -> (~(hskp1)) -> ((hskp15)\/((hskp19)\/(hskp1))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H68 zenon_H2ce zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H227 zenon_H229 zenon_H228 zenon_H73 zenon_H189 zenon_H1d1 zenon_H11 zenon_H5 zenon_H15. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.11/1.29 apply (zenon_L11_); trivial. % 1.11/1.29 apply (zenon_L850_); trivial. % 1.11/1.29 (* end of lemma zenon_L851_ *) % 1.11/1.29 assert (zenon_L852_ : ((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (~(c0_1 (a1638))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(hskp10)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (~(hskp1)) -> ((hskp15)\/((hskp19)\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp10)\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H15d zenon_H118 zenon_H1ab zenon_H13e zenon_H13d zenon_H13c zenon_H68 zenon_H2ce zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H227 zenon_H229 zenon_H228 zenon_H189 zenon_H1d1 zenon_H5 zenon_H15 zenon_H242 zenon_H211 zenon_H232 zenon_H1bc zenon_H222 zenon_Hf0. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 1.11/1.29 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 1.11/1.29 apply (zenon_L851_); trivial. % 1.11/1.29 apply (zenon_L260_); trivial. % 1.11/1.29 apply (zenon_L136_); trivial. % 1.11/1.29 (* end of lemma zenon_L852_ *) % 1.11/1.29 assert (zenon_L853_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp29))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((hskp19)\/((hskp21)\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> (~(hskp12)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H68 zenon_H222 zenon_H65 zenon_H19f zenon_H19d zenon_H1ed zenon_H25d zenon_H2c5 zenon_H1d zenon_H1a4 zenon_H191 zenon_H192 zenon_H1c6 zenon_H34 zenon_H2bb zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H211 zenon_H242 zenon_H16e zenon_Hb zenon_H227 zenon_H228 zenon_H229 zenon_H17 zenon_H112 zenon_Hce. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.11/1.29 apply (zenon_L668_); trivial. % 1.11/1.29 apply (zenon_L729_); trivial. % 1.11/1.29 (* end of lemma zenon_L853_ *) % 1.11/1.29 assert (zenon_L854_ : ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> (~(c0_1 (a1638))) -> (forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38)))))) -> (c1_1 (a1646)) -> (c3_1 (a1646)) -> (c2_1 (a1646)) -> (forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28)))))) -> (ndr1_0) -> (c0_1 (a1647)) -> (c1_1 (a1647)) -> (c3_1 (a1647)) -> False). % 1.11/1.29 do 0 intro. intros zenon_H1ed zenon_H228 zenon_H229 zenon_H227 zenon_H251 zenon_H4e zenon_H5e zenon_H4f zenon_H275 zenon_H20 zenon_H236 zenon_H237 zenon_H238. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1ee ]. % 1.11/1.29 apply (zenon_L249_); trivial. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H56 | zenon_intro zenon_H1e9 ]. % 1.11/1.29 apply (zenon_L463_); trivial. % 1.11/1.29 apply (zenon_L230_); trivial. % 1.11/1.29 (* end of lemma zenon_L854_ *) % 1.11/1.29 assert (zenon_L855_ : ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp5))) -> (c3_1 (a1647)) -> (c1_1 (a1647)) -> (c0_1 (a1647)) -> (c2_1 (a1646)) -> (c3_1 (a1646)) -> (c1_1 (a1646)) -> (forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38)))))) -> (~(c0_1 (a1638))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1691)) -> (c2_1 (a1691)) -> (~(c1_1 (a1691))) -> (ndr1_0) -> (~(hskp5)) -> False). % 1.11/1.29 do 0 intro. intros zenon_H2a9 zenon_H238 zenon_H237 zenon_H236 zenon_H4f zenon_H5e zenon_H4e zenon_H251 zenon_H227 zenon_H229 zenon_H228 zenon_H1ed zenon_Hc2 zenon_Hc1 zenon_Hc0 zenon_H20 zenon_H3. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H2a9); [ zenon_intro zenon_H275 | zenon_intro zenon_H2aa ]. % 1.11/1.29 apply (zenon_L854_); trivial. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H2aa); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H4 ]. % 1.11/1.29 apply (zenon_L49_); trivial. % 1.11/1.29 exact (zenon_H3 zenon_H4). % 1.11/1.29 (* end of lemma zenon_L855_ *) % 1.11/1.29 assert (zenon_L856_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (c3_1 (a1646)) -> (c2_1 (a1646)) -> (c1_1 (a1646)) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16)))))) -> (ndr1_0) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> (~(c1_1 (a1634))) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp29)) -> False). % 1.11/1.29 do 0 intro. intros zenon_H232 zenon_H229 zenon_H228 zenon_H227 zenon_H5e zenon_H4f zenon_H4e zenon_H21 zenon_H20 zenon_H191 zenon_H192 zenon_H2b0 zenon_H244 zenon_H2b1 zenon_H2b2 zenon_H1ed zenon_H230. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H109 | zenon_intro zenon_H234 ]. % 1.11/1.29 apply (zenon_L223_); trivial. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H77 | zenon_intro zenon_H231 ]. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1ee ]. % 1.11/1.29 apply (zenon_L712_); trivial. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H56 | zenon_intro zenon_H1e9 ]. % 1.11/1.29 apply (zenon_L111_); trivial. % 1.11/1.29 apply (zenon_L161_); trivial. % 1.11/1.29 exact (zenon_H230 zenon_H231). % 1.11/1.29 (* end of lemma zenon_L856_ *) % 1.11/1.29 assert (zenon_L857_ : ((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> (~(c0_1 (a1701))) -> (~(c1_1 (a1701))) -> (c3_1 (a1701)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H59 zenon_H242 zenon_H36 zenon_H37 zenon_H38 zenon_H2c5 zenon_H227 zenon_H228 zenon_H229 zenon_H1ed zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H232 zenon_H192 zenon_H191 zenon_H1a4 zenon_H5a. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H21 ]. % 1.11/1.29 apply (zenon_L22_); trivial. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H35 | zenon_intro zenon_H2c6 ]. % 1.11/1.29 apply (zenon_L22_); trivial. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H244 ]. % 1.11/1.29 apply (zenon_L191_); trivial. % 1.11/1.29 apply (zenon_L856_); trivial. % 1.11/1.29 apply (zenon_L714_); trivial. % 1.11/1.29 (* end of lemma zenon_L857_ *) % 1.11/1.29 assert (zenon_L858_ : ((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c1_1 (a1691))) -> (c2_1 (a1691)) -> (c3_1 (a1691)) -> (~(hskp19)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H60 zenon_H61 zenon_H242 zenon_H2c5 zenon_H227 zenon_H228 zenon_H229 zenon_H1ed zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H232 zenon_H192 zenon_H191 zenon_H1a4 zenon_H5a zenon_Hc0 zenon_Hc1 zenon_Hc2 zenon_H13 zenon_H170. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H20. zenon_intro zenon_H62. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H38. zenon_intro zenon_H63. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H36. zenon_intro zenon_H37. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.11/1.29 apply (zenon_L91_); trivial. % 1.11/1.29 apply (zenon_L857_); trivial. % 1.11/1.29 (* end of lemma zenon_L858_ *) % 1.11/1.29 assert (zenon_L859_ : ((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (~(c3_1 (a1648))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_Hc9 zenon_H65 zenon_H2c5 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H1a4 zenon_H5a zenon_H170 zenon_H13 zenon_H232 zenon_H191 zenon_H192 zenon_H233 zenon_H229 zenon_H228 zenon_H227 zenon_H2a9 zenon_H3 zenon_H1ed zenon_H2d zenon_H259 zenon_H242 zenon_H61. % 1.11/1.29 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H20. zenon_intro zenon_Hcb. % 1.11/1.29 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc1. zenon_intro zenon_Hcc. % 1.11/1.29 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc2. zenon_intro zenon_Hc0. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.11/1.29 apply (zenon_L91_); trivial. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 1.11/1.29 apply (zenon_L229_); trivial. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H20. zenon_intro zenon_H240. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H236. zenon_intro zenon_H241. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H237. zenon_intro zenon_H238. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H109 | zenon_intro zenon_H25a ]. % 1.11/1.29 apply (zenon_L223_); trivial. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H251 | zenon_intro zenon_H2e ]. % 1.11/1.29 apply (zenon_L855_); trivial. % 1.11/1.29 exact (zenon_H2d zenon_H2e). % 1.11/1.29 apply (zenon_L858_); trivial. % 1.11/1.29 (* end of lemma zenon_L859_ *) % 1.11/1.29 assert (zenon_L860_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(hskp22)) -> (c2_1 (a1682)) -> (c1_1 (a1682)) -> (~(c3_1 (a1682))) -> (ndr1_0) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> (~(hskp28)) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H242 zenon_H211 zenon_H20f zenon_H46 zenon_H45 zenon_H44 zenon_H20 zenon_H227 zenon_H228 zenon_H229 zenon_H1ff zenon_H3f zenon_H192 zenon_H191 zenon_H12a zenon_H129 zenon_H128 zenon_H232. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 1.11/1.29 apply (zenon_L236_); trivial. % 1.11/1.29 apply (zenon_L231_); trivial. % 1.11/1.29 (* end of lemma zenon_L860_ *) % 1.11/1.29 assert (zenon_L861_ : ((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (~(c3_1 (a1648))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (~(c3_1 (a1682))) -> (c1_1 (a1682)) -> (c2_1 (a1682)) -> (~(hskp22)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H60 zenon_H61 zenon_H2c5 zenon_H1ed zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H1a4 zenon_H5a zenon_H232 zenon_H128 zenon_H129 zenon_H12a zenon_H191 zenon_H192 zenon_H1ff zenon_H229 zenon_H228 zenon_H227 zenon_H44 zenon_H45 zenon_H46 zenon_H20f zenon_H211 zenon_H242. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H20. zenon_intro zenon_H62. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H38. zenon_intro zenon_H63. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H36. zenon_intro zenon_H37. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.11/1.29 apply (zenon_L860_); trivial. % 1.11/1.29 apply (zenon_L857_); trivial. % 1.11/1.29 (* end of lemma zenon_L861_ *) % 1.11/1.29 assert (zenon_L862_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (~(c3_1 (a1648))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (ndr1_0) -> (~(c3_1 (a1682))) -> (c1_1 (a1682)) -> (c2_1 (a1682)) -> (~(hskp22)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H65 zenon_H61 zenon_H2c5 zenon_H1ed zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H1a4 zenon_H5a zenon_H128 zenon_H129 zenon_H12a zenon_H1ff zenon_H232 zenon_H191 zenon_H192 zenon_H233 zenon_H229 zenon_H228 zenon_H227 zenon_H20 zenon_H44 zenon_H45 zenon_H46 zenon_H20f zenon_H211 zenon_H242. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.11/1.29 apply (zenon_L232_); trivial. % 1.11/1.29 apply (zenon_L861_); trivial. % 1.11/1.29 (* end of lemma zenon_L862_ *) % 1.11/1.29 assert (zenon_L863_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> (~(hskp9)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp2)\/(hskp9))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> (~(hskp11)) -> (~(hskp5)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp5))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (~(hskp6)) -> ((hskp19)\/((hskp21)\/(hskp6))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp29))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H15a zenon_Hd zenon_H25f zenon_H1ff zenon_H61 zenon_H259 zenon_H2d zenon_H3 zenon_H2a9 zenon_H233 zenon_H232 zenon_H170 zenon_H5a zenon_Hce zenon_H112 zenon_H229 zenon_H228 zenon_H227 zenon_Hb zenon_H16e zenon_H242 zenon_H211 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2bb zenon_H34 zenon_H1c6 zenon_H192 zenon_H191 zenon_H1a4 zenon_H1d zenon_H2c5 zenon_H25d zenon_H1ed zenon_H19d zenon_H19f zenon_H65 zenon_H222 zenon_H68. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.11/1.29 apply (zenon_L853_); trivial. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.11/1.29 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.11/1.29 apply (zenon_L85_); trivial. % 1.11/1.29 apply (zenon_L859_); trivial. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H20. zenon_intro zenon_H66. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H45. zenon_intro zenon_H67. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H46. zenon_intro zenon_H44. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.11/1.29 apply (zenon_L862_); trivial. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H20. zenon_intro zenon_H220. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H216. zenon_intro zenon_H221. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H217. zenon_intro zenon_H218. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.11/1.29 apply (zenon_L290_); trivial. % 1.11/1.29 apply (zenon_L727_); trivial. % 1.11/1.29 (* end of lemma zenon_L863_ *) % 1.11/1.29 assert (zenon_L864_ : ((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(c3_1 (a1697))) -> (~(c2_1 (a1697))) -> (~(c0_1 (a1697))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (c2_1 (a1646)) -> (c3_1 (a1646)) -> (c1_1 (a1646)) -> (~(c0_1 (a1638))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (~(c3_1 (a1682))) -> (c1_1 (a1682)) -> (c2_1 (a1682)) -> False). % 1.11/1.29 do 0 intro. intros zenon_H23f zenon_H2a7 zenon_H218 zenon_H217 zenon_H216 zenon_H2ce zenon_H4f zenon_H5e zenon_H4e zenon_H227 zenon_H229 zenon_H228 zenon_H1ed zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H44 zenon_H45 zenon_H46. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H20. zenon_intro zenon_H240. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H236. zenon_intro zenon_H241. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H237. zenon_intro zenon_H238. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H1ae | zenon_intro zenon_H2a8 ]. % 1.11/1.29 apply (zenon_L194_); trivial. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H109 | zenon_intro zenon_H275 ]. % 1.11/1.29 apply (zenon_L223_); trivial. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H251 | zenon_intro zenon_H2ba ]. % 1.11/1.29 apply (zenon_L854_); trivial. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H2af | zenon_intro zenon_H43 ]. % 1.11/1.29 apply (zenon_L703_); trivial. % 1.11/1.29 apply (zenon_L25_); trivial. % 1.11/1.29 (* end of lemma zenon_L864_ *) % 1.11/1.29 assert (zenon_L865_ : ((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (~(c3_1 (a1682))) -> (c1_1 (a1682)) -> (c2_1 (a1682)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (~(c3_1 (a1697))) -> (~(c2_1 (a1697))) -> (~(c0_1 (a1697))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (~(hskp24)) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H59 zenon_H242 zenon_H2a7 zenon_H1ed zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H44 zenon_H45 zenon_H46 zenon_H2ce zenon_H218 zenon_H217 zenon_H216 zenon_H227 zenon_H228 zenon_H229 zenon_H233 zenon_H1b zenon_H192 zenon_H191 zenon_H232. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 1.11/1.29 apply (zenon_L229_); trivial. % 1.11/1.29 apply (zenon_L864_); trivial. % 1.11/1.29 (* end of lemma zenon_L865_ *) % 1.11/1.29 assert (zenon_L866_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(c3_1 (a1697))) -> (~(c2_1 (a1697))) -> (~(c0_1 (a1697))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (~(hskp24)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (ndr1_0) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(c3_1 (a1648))) -> (~(hskp2)) -> (~(hskp9)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp2)\/(hskp9))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (~(c3_1 (a1682))) -> (c1_1 (a1682)) -> (c2_1 (a1682)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H61 zenon_H2a7 zenon_H218 zenon_H217 zenon_H216 zenon_H233 zenon_H1b zenon_H232 zenon_H128 zenon_H129 zenon_H12a zenon_H191 zenon_H192 zenon_H1ff zenon_H229 zenon_H228 zenon_H227 zenon_H20 zenon_H1ed zenon_H1a4 zenon_H19d zenon_Hd zenon_H25f zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H44 zenon_H45 zenon_H46 zenon_H2ce zenon_H242. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 1.11/1.29 apply (zenon_L236_); trivial. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H20. zenon_intro zenon_H240. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H236. zenon_intro zenon_H241. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H237. zenon_intro zenon_H238. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H251 | zenon_intro zenon_H2ba ]. % 1.11/1.29 apply (zenon_L288_); trivial. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H2af | zenon_intro zenon_H43 ]. % 1.11/1.29 apply (zenon_L703_); trivial. % 1.11/1.29 apply (zenon_L25_); trivial. % 1.11/1.29 apply (zenon_L865_); trivial. % 1.11/1.29 (* end of lemma zenon_L866_ *) % 1.11/1.29 assert (zenon_L867_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> (~(c0_1 (a1701))) -> (~(c1_1 (a1701))) -> (c3_1 (a1701)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(hskp20)) -> (~(hskp27)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(hskp21)) -> (~(hskp19)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H61 zenon_H242 zenon_H36 zenon_H37 zenon_H38 zenon_H2c5 zenon_H227 zenon_H228 zenon_H229 zenon_H1ed zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H232 zenon_H192 zenon_H191 zenon_H1a4 zenon_H5a zenon_H95 zenon_H91 zenon_H8f zenon_Hb2 zenon_Hb0 zenon_H13 zenon_H170 zenon_Hcf. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.11/1.29 apply (zenon_L89_); trivial. % 1.11/1.29 apply (zenon_L857_); trivial. % 1.11/1.29 (* end of lemma zenon_L867_ *) % 1.11/1.29 assert (zenon_L868_ : ((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(hskp21)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(hskp20)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H60 zenon_Hd0 zenon_Hcf zenon_H170 zenon_H13 zenon_Hb0 zenon_Hb2 zenon_H91 zenon_H95 zenon_H5a zenon_H1a4 zenon_H191 zenon_H192 zenon_H232 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H1ed zenon_H229 zenon_H228 zenon_H227 zenon_H2c5 zenon_H242 zenon_H61. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H20. zenon_intro zenon_H62. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H38. zenon_intro zenon_H63. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H36. zenon_intro zenon_H37. % 1.11/1.29 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H8f | zenon_intro zenon_Hbd ]. % 1.11/1.29 apply (zenon_L867_); trivial. % 1.11/1.29 apply (zenon_L48_); trivial. % 1.11/1.29 (* end of lemma zenon_L868_ *) % 1.11/1.29 assert (zenon_L869_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c3_1 (a1648))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp5)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp5))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(hskp20)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(hskp21)) -> (~(hskp19)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H65 zenon_H5a zenon_H1a4 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2c5 zenon_H61 zenon_H242 zenon_H259 zenon_H2d zenon_H1ed zenon_H3 zenon_H2a9 zenon_H227 zenon_H228 zenon_H229 zenon_H233 zenon_H192 zenon_H191 zenon_H232 zenon_H95 zenon_H91 zenon_Hb2 zenon_Hb0 zenon_H13 zenon_H170 zenon_Hcf zenon_Hd0. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.11/1.29 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H8f | zenon_intro zenon_Hbd ]. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.11/1.29 apply (zenon_L89_); trivial. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 1.11/1.29 apply (zenon_L229_); trivial. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H20. zenon_intro zenon_H240. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H236. zenon_intro zenon_H241. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H237. zenon_intro zenon_H238. % 1.11/1.29 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H93 | zenon_intro zenon_Hd1 ]. % 1.11/1.29 apply (zenon_L42_); trivial. % 1.11/1.29 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H20. zenon_intro zenon_Hd2. % 1.11/1.29 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Ha1. zenon_intro zenon_Hd3. % 1.11/1.29 apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_Ha3. zenon_intro zenon_Ha4. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H109 | zenon_intro zenon_H25a ]. % 1.11/1.29 apply (zenon_L223_); trivial. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H251 | zenon_intro zenon_H2e ]. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H2a9); [ zenon_intro zenon_H275 | zenon_intro zenon_H2aa ]. % 1.11/1.29 apply (zenon_L854_); trivial. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H2aa); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H4 ]. % 1.11/1.29 apply (zenon_L46_); trivial. % 1.11/1.29 exact (zenon_H3 zenon_H4). % 1.11/1.29 exact (zenon_H2d zenon_H2e). % 1.11/1.29 apply (zenon_L48_); trivial. % 1.11/1.29 apply (zenon_L868_); trivial. % 1.11/1.29 (* end of lemma zenon_L869_ *) % 1.11/1.29 assert (zenon_L870_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(hskp20)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (~(c3_1 (a1648))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_Hce zenon_Hd0 zenon_Hcf zenon_H170 zenon_H13 zenon_Hb2 zenon_H91 zenon_H95 zenon_H232 zenon_H191 zenon_H192 zenon_H233 zenon_H229 zenon_H228 zenon_H227 zenon_H2a9 zenon_H3 zenon_H1ed zenon_H2d zenon_H259 zenon_H242 zenon_H61 zenon_H2c5 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H1a4 zenon_H5a zenon_H65. % 1.11/1.29 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.11/1.29 apply (zenon_L869_); trivial. % 1.11/1.29 apply (zenon_L859_); trivial. % 1.11/1.29 (* end of lemma zenon_L870_ *) % 1.11/1.29 assert (zenon_L871_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c3_1 (a1648))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp5)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp5))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(hskp19)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_Hf2 zenon_Heb zenon_He8 zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_H65 zenon_H5a zenon_H1a4 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2c5 zenon_H61 zenon_H242 zenon_H259 zenon_H2d zenon_H1ed zenon_H3 zenon_H2a9 zenon_H227 zenon_H228 zenon_H229 zenon_H233 zenon_H192 zenon_H191 zenon_H232 zenon_H95 zenon_Hb2 zenon_H13 zenon_H170 zenon_Hcf zenon_Hd0 zenon_Hce. % 1.11/1.29 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 1.11/1.29 apply (zenon_L870_); trivial. % 1.11/1.29 apply (zenon_L55_); trivial. % 1.11/1.29 (* end of lemma zenon_L871_ *) % 1.11/1.29 assert (zenon_L872_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (~(c3_1 (a1648))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> (~(c0_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c3_1 (a1644))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H68 zenon_H2b9 zenon_Hce zenon_Hd0 zenon_Hcf zenon_H170 zenon_Hb2 zenon_H95 zenon_H232 zenon_H191 zenon_H192 zenon_H233 zenon_H229 zenon_H228 zenon_H227 zenon_H2a9 zenon_H3 zenon_H1ed zenon_H2d zenon_H259 zenon_H242 zenon_H61 zenon_H2c5 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H1a4 zenon_H5a zenon_H65 zenon_Hd5 zenon_Hd6 zenon_Hd7 zenon_He8 zenon_Heb zenon_Hf2. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.11/1.29 apply (zenon_L871_); trivial. % 1.11/1.29 apply (zenon_L704_); trivial. % 1.11/1.29 (* end of lemma zenon_L872_ *) % 1.11/1.29 assert (zenon_L873_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (~(c1_1 (a1634))) -> (~(hskp1)) -> ((hskp15)\/((hskp19)\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp10)\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> (~(hskp5)) -> ((hskp12)\/((hskp5)\/(hskp24))) -> (ndr1_0) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (~(hskp10)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> ((hskp10)\/((hskp18)\/(hskp11))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H159 zenon_H118 zenon_H1ab zenon_H68 zenon_H2ce zenon_H2b0 zenon_H5 zenon_H15 zenon_H242 zenon_H211 zenon_H232 zenon_H1bc zenon_H222 zenon_Hce zenon_Hcf zenon_Hb2 zenon_H95 zenon_Hd0 zenon_H5a zenon_H17b zenon_H17a zenon_H179 zenon_He8 zenon_Heb zenon_Hf2 zenon_Hf0 zenon_H65 zenon_H2c5 zenon_H2b1 zenon_H2b2 zenon_H19d zenon_H19f zenon_H112 zenon_H3 zenon_H2a0 zenon_H20 zenon_H227 zenon_H228 zenon_H229 zenon_H1d1 zenon_H189 zenon_H259 zenon_H18b zenon_H132 zenon_H136 zenon_H15a. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.11/1.29 apply (zenon_L846_); trivial. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.11/1.29 apply (zenon_L402_); trivial. % 1.11/1.29 apply (zenon_L852_); trivial. % 1.11/1.29 (* end of lemma zenon_L873_ *) % 1.11/1.29 assert (zenon_L874_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (ndr1_0) -> (~(c3_1 (a1682))) -> (c1_1 (a1682)) -> (c2_1 (a1682)) -> (~(hskp22)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H65 zenon_H2b9 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H179 zenon_H17a zenon_H17b zenon_H5a zenon_H232 zenon_H191 zenon_H192 zenon_H233 zenon_H229 zenon_H228 zenon_H227 zenon_H20 zenon_H44 zenon_H45 zenon_H46 zenon_H20f zenon_H211 zenon_H242. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.11/1.29 apply (zenon_L232_); trivial. % 1.11/1.29 apply (zenon_L750_); trivial. % 1.11/1.29 (* end of lemma zenon_L874_ *) % 1.11/1.29 assert (zenon_L875_ : ((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> (~(c3_1 (a1648))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H64 zenon_H222 zenon_H1a4 zenon_H1c6 zenon_H242 zenon_H211 zenon_H227 zenon_H228 zenon_H229 zenon_H233 zenon_H192 zenon_H191 zenon_H232 zenon_H5a zenon_H17b zenon_H17a zenon_H179 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2b9 zenon_H65. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H20. zenon_intro zenon_H66. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H45. zenon_intro zenon_H67. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H46. zenon_intro zenon_H44. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.11/1.29 apply (zenon_L874_); trivial. % 1.11/1.29 apply (zenon_L753_); trivial. % 1.11/1.29 (* end of lemma zenon_L875_ *) % 1.11/1.29 assert (zenon_L876_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (~(c3_1 (a1648))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp2)\/(hskp9))) -> (~(hskp9)) -> (~(hskp2)) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H68 zenon_H222 zenon_H1c6 zenon_H211 zenon_H2b9 zenon_Hce zenon_Hd0 zenon_Hcf zenon_H170 zenon_Hb2 zenon_H95 zenon_H232 zenon_H191 zenon_H192 zenon_H233 zenon_H229 zenon_H228 zenon_H227 zenon_H2a9 zenon_H3 zenon_H1ed zenon_H2d zenon_H259 zenon_H242 zenon_H61 zenon_H2c5 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H1a4 zenon_H5a zenon_H65 zenon_H25f zenon_Hd zenon_H19d zenon_H17b zenon_H17a zenon_H179 zenon_He8 zenon_Heb zenon_Hf2. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.11/1.29 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 1.11/1.29 apply (zenon_L870_); trivial. % 1.11/1.29 apply (zenon_L291_); trivial. % 1.11/1.29 apply (zenon_L875_); trivial. % 1.11/1.29 (* end of lemma zenon_L876_ *) % 1.11/1.29 assert (zenon_L877_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> (~(c3_1 (a1648))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> (~(hskp15)) -> (~(hskp1)) -> ((hskp15)\/((hskp19)\/(hskp1))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H68 zenon_H222 zenon_H1a4 zenon_H1c6 zenon_H242 zenon_H211 zenon_H227 zenon_H228 zenon_H229 zenon_H233 zenon_H192 zenon_H191 zenon_H232 zenon_H5a zenon_H17b zenon_H17a zenon_H179 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2b9 zenon_H65 zenon_H11 zenon_H5 zenon_H15. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.11/1.29 apply (zenon_L11_); trivial. % 1.11/1.29 apply (zenon_L875_); trivial. % 1.11/1.29 (* end of lemma zenon_L877_ *) % 1.11/1.29 assert (zenon_L878_ : ((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> ((hskp15)\/((hskp19)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c3_1 (a1648))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H15d zenon_H118 zenon_H1ab zenon_H13e zenon_H13d zenon_H13c zenon_H15 zenon_H5 zenon_H65 zenon_H2b9 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H179 zenon_H17a zenon_H17b zenon_H5a zenon_H232 zenon_H191 zenon_H192 zenon_H233 zenon_H229 zenon_H228 zenon_H227 zenon_H211 zenon_H242 zenon_H1c6 zenon_H1a4 zenon_H222 zenon_H68. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 1.11/1.29 apply (zenon_L877_); trivial. % 1.11/1.29 apply (zenon_L136_); trivial. % 1.11/1.29 (* end of lemma zenon_L878_ *) % 1.11/1.29 assert (zenon_L879_ : ((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((hskp15)\/((hskp19)\/(hskp1))) -> (~(hskp1)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c3_1 (a1648))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((hskp12)\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H155 zenon_H15a zenon_H118 zenon_H1ab zenon_H15 zenon_H5 zenon_H2b9 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H232 zenon_H191 zenon_H192 zenon_H233 zenon_H211 zenon_H242 zenon_H1c6 zenon_H1a4 zenon_H222 zenon_H68 zenon_Hce zenon_Hcf zenon_H112 zenon_Hb2 zenon_H229 zenon_H228 zenon_H227 zenon_H95 zenon_Hd0 zenon_H2a0 zenon_H3 zenon_H5a zenon_H17b zenon_H17a zenon_H179 zenon_He8 zenon_Heb zenon_H65 zenon_Hf2. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.11/1.29 apply (zenon_L402_); trivial. % 1.11/1.29 apply (zenon_L878_); trivial. % 1.11/1.29 (* end of lemma zenon_L879_ *) % 1.11/1.29 assert (zenon_L880_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((hskp15)\/((hskp19)\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1634))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> (~(hskp5)) -> ((hskp12)\/((hskp5)\/(hskp24))) -> (ndr1_0) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (~(hskp10)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> ((hskp10)\/((hskp18)\/(hskp11))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H159 zenon_H118 zenon_H1ab zenon_H15 zenon_H5 zenon_Hd5 zenon_Hd6 zenon_Hd7 zenon_H2b0 zenon_H2b9 zenon_H68 zenon_Hce zenon_Hcf zenon_Hb2 zenon_H95 zenon_Hd0 zenon_H5a zenon_H17b zenon_H17a zenon_H179 zenon_He8 zenon_Heb zenon_Hf2 zenon_Hf0 zenon_H65 zenon_H2c5 zenon_H2b1 zenon_H2b2 zenon_H19d zenon_H19f zenon_H112 zenon_H3 zenon_H2a0 zenon_H20 zenon_H227 zenon_H228 zenon_H229 zenon_H1d1 zenon_H189 zenon_H259 zenon_H18b zenon_H132 zenon_H136 zenon_H15a. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.11/1.29 apply (zenon_L846_); trivial. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.11/1.29 apply (zenon_L402_); trivial. % 1.11/1.29 apply (zenon_L708_); trivial. % 1.11/1.29 (* end of lemma zenon_L880_ *) % 1.11/1.29 assert (zenon_L881_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (~(c3_1 (a1648))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> (~(c0_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c3_1 (a1644))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H68 zenon_H222 zenon_H1c6 zenon_H211 zenon_H17b zenon_H17a zenon_H179 zenon_H2b9 zenon_Hce zenon_Hd0 zenon_Hcf zenon_H170 zenon_Hb2 zenon_H95 zenon_H232 zenon_H191 zenon_H192 zenon_H233 zenon_H229 zenon_H228 zenon_H227 zenon_H2a9 zenon_H3 zenon_H1ed zenon_H2d zenon_H259 zenon_H242 zenon_H61 zenon_H2c5 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H1a4 zenon_H5a zenon_H65 zenon_Hd5 zenon_Hd6 zenon_Hd7 zenon_He8 zenon_Heb zenon_Hf2. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.11/1.29 apply (zenon_L871_); trivial. % 1.11/1.29 apply (zenon_L875_); trivial. % 1.11/1.29 (* end of lemma zenon_L881_ *) % 1.11/1.29 assert (zenon_L882_ : ((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a1691)) -> (c2_1 (a1691)) -> (~(c1_1 (a1691))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (~(c0_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c3_1 (a1644))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c3_1 (a1648))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H21f zenon_H65 zenon_H2c5 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H5a zenon_H170 zenon_H13 zenon_Hc2 zenon_Hc1 zenon_Hc0 zenon_H232 zenon_H191 zenon_H192 zenon_H233 zenon_H229 zenon_H228 zenon_H227 zenon_Hd5 zenon_Hd6 zenon_Hd7 zenon_H1c6 zenon_H1a4 zenon_H82 zenon_H83 zenon_H84 zenon_H1ed zenon_He8 zenon_Heb zenon_H242 zenon_H61. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H20. zenon_intro zenon_H220. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H216. zenon_intro zenon_H221. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H217. zenon_intro zenon_H218. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.11/1.29 apply (zenon_L91_); trivial. % 1.11/1.29 apply (zenon_L243_); trivial. % 1.11/1.29 apply (zenon_L858_); trivial. % 1.11/1.29 (* end of lemma zenon_L882_ *) % 1.11/1.29 assert (zenon_L883_ : ((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((hskp19)\/((hskp21)\/(hskp6))) -> (~(hskp6)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (~(c0_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c3_1 (a1644))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c3_1 (a1648))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H155 zenon_H68 zenon_H2b9 zenon_H16e zenon_Hb zenon_H65 zenon_H2c5 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H5a zenon_H170 zenon_H232 zenon_H191 zenon_H192 zenon_H233 zenon_H229 zenon_H228 zenon_H227 zenon_Hd5 zenon_Hd6 zenon_Hd7 zenon_H1c6 zenon_H1a4 zenon_H82 zenon_H83 zenon_H84 zenon_H1ed zenon_H211 zenon_He8 zenon_Heb zenon_H242 zenon_H61 zenon_H222 zenon_Hce. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.11/1.29 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.11/1.29 apply (zenon_L85_); trivial. % 1.11/1.29 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H20. zenon_intro zenon_Hcb. % 1.11/1.29 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc1. zenon_intro zenon_Hcc. % 1.11/1.29 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc2. zenon_intro zenon_Hc0. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.11/1.29 apply (zenon_L423_); trivial. % 1.11/1.29 apply (zenon_L858_); trivial. % 1.11/1.29 apply (zenon_L882_); trivial. % 1.11/1.29 apply (zenon_L704_); trivial. % 1.11/1.29 (* end of lemma zenon_L883_ *) % 1.11/1.29 assert (zenon_L884_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp10)\/(hskp1))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> (~(hskp10)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (ndr1_0) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H159 zenon_H2ce zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H5 zenon_H1bc zenon_H259 zenon_H189 zenon_H1d1 zenon_H229 zenon_H228 zenon_H227 zenon_H20 zenon_H82 zenon_H83 zenon_H84 zenon_H19d zenon_H19f zenon_Hf0. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.11/1.29 apply (zenon_L252_); trivial. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.11/1.29 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 1.11/1.29 apply (zenon_L848_); trivial. % 1.11/1.29 apply (zenon_L114_); trivial. % 1.11/1.29 (* end of lemma zenon_L884_ *) % 1.11/1.29 assert (zenon_L885_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c3_1 (a1648))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((hskp19)\/((hskp21)\/(hskp6))) -> (~(hskp6)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H68 zenon_H222 zenon_H25d zenon_H242 zenon_H259 zenon_H2d zenon_H19f zenon_H19d zenon_H1ed zenon_H227 zenon_H228 zenon_H229 zenon_H233 zenon_H192 zenon_H191 zenon_H232 zenon_H211 zenon_H1ff zenon_H12a zenon_H129 zenon_H128 zenon_H5a zenon_H1a4 zenon_H2c5 zenon_H61 zenon_H65 zenon_H16e zenon_Hb zenon_H8d zenon_H8b zenon_H84 zenon_H83 zenon_H82 zenon_H24f zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H161 zenon_H163 zenon_H162 zenon_Hca zenon_Hce. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.11/1.29 apply (zenon_L764_); trivial. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H20. zenon_intro zenon_H66. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H45. zenon_intro zenon_H67. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H46. zenon_intro zenon_H44. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.11/1.29 apply (zenon_L268_); trivial. % 1.11/1.29 apply (zenon_L861_); trivial. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H20. zenon_intro zenon_H220. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H216. zenon_intro zenon_H221. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H217. zenon_intro zenon_H218. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.11/1.29 apply (zenon_L268_); trivial. % 1.11/1.29 apply (zenon_L727_); trivial. % 1.11/1.29 (* end of lemma zenon_L885_ *) % 1.11/1.29 assert (zenon_L886_ : ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1646)) -> (c2_1 (a1646)) -> (c1_1 (a1646)) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))) -> (~(c1_1 (a1634))) -> (~(hskp29)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c3_1 (a1701)) -> (~(c1_1 (a1701))) -> (~(c0_1 (a1701))) -> (ndr1_0) -> False). % 1.11/1.29 do 0 intro. intros zenon_H5a zenon_H227 zenon_H228 zenon_H229 zenon_H1ed zenon_H5e zenon_H4f zenon_H4e zenon_H192 zenon_H191 zenon_H2b2 zenon_H2b1 zenon_H244 zenon_H2b0 zenon_H230 zenon_H232 zenon_H38 zenon_H37 zenon_H36 zenon_H20. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H21 ]. % 1.11/1.29 apply (zenon_L22_); trivial. % 1.11/1.29 apply (zenon_L856_); trivial. % 1.11/1.29 (* end of lemma zenon_L886_ *) % 1.11/1.29 assert (zenon_L887_ : ((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> (~(c3_1 (a1648))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c0_1 (a1675))) -> (~(c1_1 (a1675))) -> (c2_1 (a1675)) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c3_1 (a1701)) -> (~(c1_1 (a1701))) -> (~(c0_1 (a1701))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H59 zenon_H242 zenon_H1a4 zenon_H2c5 zenon_H98 zenon_H99 zenon_H9a zenon_H128 zenon_H129 zenon_H12a zenon_H5a zenon_H227 zenon_H228 zenon_H229 zenon_H1ed zenon_H192 zenon_H191 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H232 zenon_H38 zenon_H37 zenon_H36 zenon_H24f. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H97 | zenon_intro zenon_H250 ]. % 1.11/1.29 apply (zenon_L43_); trivial. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H127 | zenon_intro zenon_H244 ]. % 1.11/1.29 apply (zenon_L69_); trivial. % 1.11/1.29 apply (zenon_L886_); trivial. % 1.11/1.29 apply (zenon_L714_); trivial. % 1.11/1.29 (* end of lemma zenon_L887_ *) % 1.11/1.29 assert (zenon_L888_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> (c2_1 (a1675)) -> (~(c1_1 (a1675))) -> (~(c0_1 (a1675))) -> (ndr1_0) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (~(hskp24)) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H242 zenon_H24f zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H19f zenon_H19d zenon_H1ed zenon_H12a zenon_H129 zenon_H128 zenon_H9a zenon_H99 zenon_H98 zenon_H20 zenon_H227 zenon_H228 zenon_H229 zenon_H233 zenon_H1b zenon_H192 zenon_H191 zenon_H232. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 1.11/1.29 apply (zenon_L229_); trivial. % 1.11/1.29 apply (zenon_L741_); trivial. % 1.11/1.29 (* end of lemma zenon_L888_ *) % 1.11/1.29 assert (zenon_L889_ : ((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682)))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp29))) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c2_1 (a1675)) -> (~(c1_1 (a1675))) -> (~(c0_1 (a1675))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a1648))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_H64 zenon_H222 zenon_H25d zenon_H19d zenon_H19f zenon_H242 zenon_H211 zenon_H227 zenon_H228 zenon_H229 zenon_H233 zenon_H192 zenon_H191 zenon_H232 zenon_H1ff zenon_H12a zenon_H129 zenon_H128 zenon_H24f zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H1ed zenon_H5a zenon_H9a zenon_H99 zenon_H98 zenon_H2c5 zenon_H1a4 zenon_H61 zenon_H65. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H20. zenon_intro zenon_H66. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H45. zenon_intro zenon_H67. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H46. zenon_intro zenon_H44. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.11/1.29 apply (zenon_L232_); trivial. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H20. zenon_intro zenon_H62. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H38. zenon_intro zenon_H63. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H36. zenon_intro zenon_H37. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.11/1.29 apply (zenon_L860_); trivial. % 1.11/1.29 apply (zenon_L887_); trivial. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H20. zenon_intro zenon_H220. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H216. zenon_intro zenon_H221. % 1.11/1.29 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H217. zenon_intro zenon_H218. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.11/1.29 apply (zenon_L888_); trivial. % 1.11/1.29 apply (zenon_L727_); trivial. % 1.11/1.29 (* end of lemma zenon_L889_ *) % 1.11/1.29 assert (zenon_L890_ : ((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp29))) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a1648))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((hskp19)\/((hskp21)\/(hskp6))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> False). % 1.11/1.29 do 0 intro. intros zenon_Hf8 zenon_H68 zenon_H222 zenon_H25d zenon_H19d zenon_H19f zenon_H242 zenon_H211 zenon_H227 zenon_H228 zenon_H229 zenon_H233 zenon_H192 zenon_H191 zenon_H232 zenon_H1ff zenon_H12a zenon_H129 zenon_H128 zenon_H1ed zenon_H5a zenon_H2c5 zenon_H1a4 zenon_H61 zenon_H65 zenon_H16e zenon_Hb zenon_H24f zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H161 zenon_H163 zenon_H162 zenon_Hca zenon_Hce. % 1.11/1.29 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_H20. zenon_intro zenon_Hf9. % 1.11/1.29 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H9a. zenon_intro zenon_Hfa. % 1.11/1.29 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_H98. zenon_intro zenon_H99. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.11/1.29 apply (zenon_L734_); trivial. % 1.11/1.29 apply (zenon_L889_); trivial. % 1.11/1.29 (* end of lemma zenon_L890_ *) % 1.11/1.29 assert (zenon_L891_ : ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (c3_1 (a1640)) -> (~(c2_1 (a1640))) -> (forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))) -> (c0_1 (a1640)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(hskp2)) -> (~(c0_1 (a1638))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (ndr1_0) -> (~(c3_1 (a1682))) -> (c1_1 (a1682)) -> (c2_1 (a1682)) -> False). % 1.11/1.29 do 0 intro. intros zenon_H2ce zenon_H84 zenon_H82 zenon_H69 zenon_H83 zenon_H19f zenon_H192 zenon_H191 zenon_H19d zenon_H227 zenon_H229 zenon_H228 zenon_H1ed zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H20 zenon_H44 zenon_H45 zenon_H46. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H251 | zenon_intro zenon_H2ba ]. % 1.11/1.29 apply (zenon_L460_); trivial. % 1.11/1.29 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H2af | zenon_intro zenon_H43 ]. % 1.11/1.29 apply (zenon_L703_); trivial. % 1.11/1.29 apply (zenon_L25_); trivial. % 1.11/1.29 (* end of lemma zenon_L891_ *) % 1.11/1.29 assert (zenon_L892_ : ((ndr1_0)/\((c0_1 (a1648))/\((c2_1 (a1648))/\(~(c3_1 (a1648)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp29))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((hskp19)\/((hskp21)\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> False). % 1.11/1.30 do 0 intro. intros zenon_H1a1 zenon_H159 zenon_H2ce zenon_H1ab zenon_H68 zenon_H222 zenon_H65 zenon_H19f zenon_H19d zenon_H1ed zenon_H25d zenon_H2c5 zenon_H1d zenon_H1c6 zenon_H34 zenon_H2bb zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H211 zenon_H242 zenon_H16e zenon_Hb zenon_H227 zenon_H228 zenon_H229 zenon_H112 zenon_Hce zenon_H259 zenon_H233 zenon_H232 zenon_H1ff zenon_H5a zenon_H61 zenon_H8d zenon_H84 zenon_H83 zenon_H82 zenon_H24f zenon_H161 zenon_H163 zenon_H162 zenon_Hca zenon_Hf1 zenon_H15a. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.11/1.30 apply (zenon_L853_); trivial. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 1.11/1.30 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 1.11/1.30 apply (zenon_L885_); trivial. % 1.11/1.30 apply (zenon_L890_); trivial. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.11/1.30 apply (zenon_L853_); trivial. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 1.11/1.30 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.11/1.30 apply (zenon_L764_); trivial. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H20. zenon_intro zenon_H66. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H45. zenon_intro zenon_H67. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H46. zenon_intro zenon_H44. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H13b | zenon_intro zenon_H1ac ]. % 1.11/1.30 apply (zenon_L74_); trivial. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H69 | zenon_intro zenon_H127 ]. % 1.11/1.30 apply (zenon_L891_); trivial. % 1.11/1.30 apply (zenon_L69_); trivial. % 1.11/1.30 apply (zenon_L745_); trivial. % 1.11/1.30 (* end of lemma zenon_L892_ *) % 1.11/1.30 assert (zenon_L893_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> (~(c3_1 (a1648))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp11))) -> (~(hskp11)) -> (~(hskp7)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> False). % 1.11/1.30 do 0 intro. intros zenon_H68 zenon_H222 zenon_H1a4 zenon_H1c6 zenon_H211 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2b9 zenon_Hce zenon_H61 zenon_H172 zenon_H2d zenon_H9 zenon_H95 zenon_Hb2 zenon_H170 zenon_Hcf zenon_Hd0 zenon_H242 zenon_H259 zenon_H19f zenon_H19d zenon_H84 zenon_H83 zenon_H82 zenon_H1ed zenon_H227 zenon_H228 zenon_H229 zenon_H233 zenon_H192 zenon_H191 zenon_H232 zenon_H5a zenon_H17b zenon_H17a zenon_H179 zenon_He8 zenon_Heb zenon_H65 zenon_Hf2. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.11/1.30 apply (zenon_L270_); trivial. % 1.11/1.30 apply (zenon_L875_); trivial. % 1.11/1.30 (* end of lemma zenon_L893_ *) % 1.11/1.30 assert (zenon_L894_ : ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))) -> (~(c1_1 (a1634))) -> (c2_1 (a1635)) -> (c1_1 (a1635)) -> (c0_1 (a1635)) -> (ndr1_0) -> (c0_1 (a1647)) -> (c1_1 (a1647)) -> (c3_1 (a1647)) -> False). % 1.11/1.30 do 0 intro. intros zenon_H1ed zenon_H2b2 zenon_H2b1 zenon_H244 zenon_H2b0 zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H20 zenon_H236 zenon_H237 zenon_H238. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H1ee ]. % 1.11/1.30 apply (zenon_L712_); trivial. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H56 | zenon_intro zenon_H1e9 ]. % 1.11/1.30 apply (zenon_L47_); trivial. % 1.11/1.30 apply (zenon_L230_); trivial. % 1.11/1.30 (* end of lemma zenon_L894_ *) % 1.11/1.30 assert (zenon_L895_ : ((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a1701)) -> (~(c1_1 (a1701))) -> (~(c0_1 (a1701))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (c2_1 (a1635)) -> (c1_1 (a1635)) -> (c0_1 (a1635)) -> False). % 1.11/1.30 do 0 intro. intros zenon_H23f zenon_H2c5 zenon_H38 zenon_H37 zenon_H36 zenon_H192 zenon_H191 zenon_H1a4 zenon_H1ed zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_Hb6 zenon_Hb5 zenon_Hb4. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H20. zenon_intro zenon_H240. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H236. zenon_intro zenon_H241. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H237. zenon_intro zenon_H238. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H35 | zenon_intro zenon_H2c6 ]. % 1.11/1.30 apply (zenon_L22_); trivial. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H244 ]. % 1.11/1.30 apply (zenon_L191_); trivial. % 1.11/1.30 apply (zenon_L894_); trivial. % 1.11/1.30 (* end of lemma zenon_L895_ *) % 1.11/1.30 assert (zenon_L896_ : ((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(c0_1 (a1701))) -> (~(c1_1 (a1701))) -> (c3_1 (a1701)) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp29))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (~(c3_1 (a1697))) -> (~(c2_1 (a1697))) -> (~(c0_1 (a1697))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> False). % 1.11/1.30 do 0 intro. intros zenon_Hbd zenon_H242 zenon_H1ed zenon_H36 zenon_H37 zenon_H38 zenon_H1a4 zenon_H191 zenon_H192 zenon_H25d zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H218 zenon_H217 zenon_H216 zenon_H2c5. % 1.11/1.30 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_H20. zenon_intro zenon_Hbe. % 1.11/1.30 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hbf. % 1.11/1.30 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Hb5. zenon_intro zenon_Hb6. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 1.11/1.30 apply (zenon_L723_); trivial. % 1.11/1.30 apply (zenon_L895_); trivial. % 1.11/1.30 (* end of lemma zenon_L896_ *) % 1.11/1.30 assert (zenon_L897_ : ((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp29))) -> (~(c3_1 (a1697))) -> (~(c2_1 (a1697))) -> (~(c0_1 (a1697))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(hskp21)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(hskp20)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> False). % 1.11/1.30 do 0 intro. intros zenon_H60 zenon_Hd0 zenon_H25d zenon_H218 zenon_H217 zenon_H216 zenon_Hcf zenon_H170 zenon_H13 zenon_Hb0 zenon_Hb2 zenon_H91 zenon_H95 zenon_H5a zenon_H1a4 zenon_H191 zenon_H192 zenon_H232 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H1ed zenon_H229 zenon_H228 zenon_H227 zenon_H2c5 zenon_H242 zenon_H61. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H20. zenon_intro zenon_H62. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H38. zenon_intro zenon_H63. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H36. zenon_intro zenon_H37. % 1.11/1.30 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H8f | zenon_intro zenon_Hbd ]. % 1.11/1.30 apply (zenon_L867_); trivial. % 1.11/1.30 apply (zenon_L896_); trivial. % 1.11/1.30 (* end of lemma zenon_L897_ *) % 1.11/1.30 assert (zenon_L898_ : ((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp29))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> (~(c3_1 (a1648))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(hskp20)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(hskp21)) -> (~(hskp19)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> False). % 1.11/1.30 do 0 intro. intros zenon_H21f zenon_H65 zenon_H25d zenon_H5a zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2c5 zenon_H61 zenon_H242 zenon_Heb zenon_He8 zenon_H1ed zenon_H84 zenon_H83 zenon_H82 zenon_H179 zenon_H17a zenon_H17b zenon_H1a4 zenon_H1c6 zenon_H227 zenon_H228 zenon_H229 zenon_H233 zenon_H192 zenon_H191 zenon_H232 zenon_H95 zenon_H91 zenon_Hb2 zenon_Hb0 zenon_H13 zenon_H170 zenon_Hcf zenon_Hd0. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H20. zenon_intro zenon_H220. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H216. zenon_intro zenon_H221. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H217. zenon_intro zenon_H218. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.11/1.30 apply (zenon_L474_); trivial. % 1.11/1.30 apply (zenon_L897_); trivial. % 1.11/1.30 (* end of lemma zenon_L898_ *) % 1.11/1.30 assert (zenon_L899_ : ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp29))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(hskp21)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(hskp20)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c3_1 (a1648))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> False). % 1.11/1.30 do 0 intro. intros zenon_H222 zenon_H25d zenon_Hd0 zenon_Hcf zenon_H170 zenon_H13 zenon_Hb0 zenon_Hb2 zenon_H91 zenon_H95 zenon_H232 zenon_H191 zenon_H192 zenon_H233 zenon_H229 zenon_H228 zenon_H227 zenon_H1c6 zenon_H1a4 zenon_H17b zenon_H17a zenon_H179 zenon_H13c zenon_H13d zenon_H13e zenon_H211 zenon_H82 zenon_H83 zenon_H84 zenon_H1ed zenon_He8 zenon_Heb zenon_H242 zenon_H61 zenon_H2c5 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H5a zenon_H65. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.11/1.30 apply (zenon_L457_); trivial. % 1.11/1.30 apply (zenon_L868_); trivial. % 1.11/1.30 apply (zenon_L898_); trivial. % 1.11/1.30 (* end of lemma zenon_L899_ *) % 1.11/1.30 assert (zenon_L900_ : ((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp29))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c3_1 (a1648))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (~(hskp7)) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((hskp7)\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> False). % 1.11/1.30 do 0 intro. intros zenon_H155 zenon_Hf1 zenon_Hf2 zenon_H222 zenon_H25d zenon_Hd0 zenon_Hcf zenon_H170 zenon_Hb2 zenon_H95 zenon_H232 zenon_H191 zenon_H192 zenon_H233 zenon_H229 zenon_H228 zenon_H227 zenon_H1c6 zenon_H1a4 zenon_H17b zenon_H17a zenon_H179 zenon_H211 zenon_H82 zenon_H83 zenon_H84 zenon_H1ed zenon_He8 zenon_Heb zenon_H242 zenon_H61 zenon_H2c5 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H5a zenon_H65 zenon_H8d zenon_H9 zenon_H18d zenon_H18f zenon_Hce zenon_H2b9 zenon_H68. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.11/1.30 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.11/1.30 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 1.11/1.30 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.11/1.30 apply (zenon_L899_); trivial. % 1.11/1.30 apply (zenon_L459_); trivial. % 1.11/1.30 apply (zenon_L277_); trivial. % 1.11/1.30 apply (zenon_L875_); trivial. % 1.11/1.30 apply (zenon_L107_); trivial. % 1.11/1.30 (* end of lemma zenon_L900_ *) % 1.11/1.30 assert (zenon_L901_ : ((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> (~(c1_1 (a1664))) -> (~(c2_1 (a1664))) -> (c0_1 (a1664)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c3_1 (a1648))) -> (c1_1 (a1643)) -> (~(c2_1 (a1643))) -> (~(c3_1 (a1643))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (~(hskp24)) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> False). % 1.11/1.30 do 0 intro. intros zenon_H2f zenon_H242 zenon_H24f zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H19f zenon_H19d zenon_H1ed zenon_H179 zenon_H17a zenon_H17b zenon_H6a zenon_H6b zenon_H6c zenon_H1c6 zenon_H1a4 zenon_H1b0 zenon_H1af zenon_H1ad zenon_H1ab zenon_H227 zenon_H228 zenon_H229 zenon_H233 zenon_H1b zenon_H192 zenon_H191 zenon_H232. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H20. zenon_intro zenon_H31. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H23. zenon_intro zenon_H32. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H24. zenon_intro zenon_H22. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 1.11/1.30 apply (zenon_L229_); trivial. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H20. zenon_intro zenon_H240. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H236. zenon_intro zenon_H241. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H237. zenon_intro zenon_H238. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H97 | zenon_intro zenon_H250 ]. % 1.11/1.30 apply (zenon_L786_); trivial. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H127 | zenon_intro zenon_H244 ]. % 1.11/1.30 apply (zenon_L785_); trivial. % 1.11/1.30 apply (zenon_L726_); trivial. % 1.11/1.30 (* end of lemma zenon_L901_ *) % 1.11/1.30 assert (zenon_L902_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> (~(c1_1 (a1664))) -> (~(c2_1 (a1664))) -> (c0_1 (a1664)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c3_1 (a1648))) -> (c1_1 (a1643)) -> (~(c2_1 (a1643))) -> (~(c3_1 (a1643))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (~(hskp12)) -> (~(hskp24)) -> ((hskp12)\/((hskp25)\/(hskp24))) -> False). % 1.11/1.30 do 0 intro. intros zenon_H34 zenon_H242 zenon_H24f zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H19f zenon_H19d zenon_H1ed zenon_H179 zenon_H17a zenon_H17b zenon_H6a zenon_H6b zenon_H6c zenon_H1c6 zenon_H1a4 zenon_H1b0 zenon_H1af zenon_H1ad zenon_H1ab zenon_H227 zenon_H228 zenon_H229 zenon_H233 zenon_H192 zenon_H191 zenon_H232 zenon_H17 zenon_H1b zenon_H1d. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 1.11/1.30 apply (zenon_L15_); trivial. % 1.11/1.30 apply (zenon_L901_); trivial. % 1.11/1.30 (* end of lemma zenon_L902_ *) % 1.11/1.30 assert (zenon_L903_ : ((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(hskp12)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> (~(c3_1 (a1648))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c0_1 (a1664)) -> (~(c2_1 (a1664))) -> (~(c1_1 (a1664))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> False). % 1.11/1.30 do 0 intro. intros zenon_Hea zenon_H65 zenon_Heb zenon_He8 zenon_H5a zenon_H1d zenon_H17 zenon_H232 zenon_H191 zenon_H192 zenon_H233 zenon_H229 zenon_H228 zenon_H227 zenon_H1ab zenon_H1ad zenon_H1af zenon_H1b0 zenon_H1a4 zenon_H1c6 zenon_H6c zenon_H6b zenon_H6a zenon_H17b zenon_H17a zenon_H179 zenon_H1ed zenon_H19d zenon_H19f zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H24f zenon_H242 zenon_H34. % 1.11/1.30 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H20. zenon_intro zenon_Hec. % 1.11/1.30 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He0. zenon_intro zenon_Hed. % 1.11/1.30 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_He1. zenon_intro zenon_Hdf. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.11/1.30 apply (zenon_L902_); trivial. % 1.11/1.30 apply (zenon_L96_); trivial. % 1.11/1.30 (* end of lemma zenon_L903_ *) % 1.11/1.30 assert (zenon_L904_ : ((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (~(c3_1 (a1643))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> (~(c3_1 (a1648))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(hskp12)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> False). % 1.11/1.30 do 0 intro. intros zenon_Hef zenon_Hf2 zenon_H65 zenon_Heb zenon_He8 zenon_H5a zenon_H1d zenon_H232 zenon_H191 zenon_H192 zenon_H233 zenon_H1ab zenon_H1ad zenon_H1af zenon_H1b0 zenon_H1a4 zenon_H1c6 zenon_H17b zenon_H17a zenon_H179 zenon_H1ed zenon_H19d zenon_H19f zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H24f zenon_H242 zenon_H34 zenon_Hd0 zenon_H95 zenon_H227 zenon_H228 zenon_H229 zenon_Hb2 zenon_H17 zenon_H112 zenon_Hcf zenon_Hce. % 1.11/1.30 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H20. zenon_intro zenon_Hf3. % 1.11/1.30 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H6c. zenon_intro zenon_Hf4. % 1.11/1.30 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H6a. zenon_intro zenon_H6b. % 1.11/1.30 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 1.11/1.30 apply (zenon_L226_); trivial. % 1.11/1.30 apply (zenon_L903_); trivial. % 1.11/1.30 (* end of lemma zenon_L904_ *) % 1.11/1.30 assert (zenon_L905_ : ((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> (~(c3_1 (a1648))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> (~(hskp1)) -> ((hskp15)\/((hskp19)\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c1_1 (a1643)) -> (~(c2_1 (a1643))) -> (~(c3_1 (a1643))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> False). % 1.11/1.30 do 0 intro. intros zenon_H155 zenon_H15a zenon_H68 zenon_H222 zenon_H1a4 zenon_H1c6 zenon_H242 zenon_H211 zenon_H227 zenon_H228 zenon_H229 zenon_H233 zenon_H192 zenon_H191 zenon_H232 zenon_H5a zenon_H17b zenon_H17a zenon_H179 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2b9 zenon_H65 zenon_H5 zenon_H15 zenon_Hce zenon_Hcf zenon_H112 zenon_Hb2 zenon_H95 zenon_Hd0 zenon_H34 zenon_H24f zenon_H19f zenon_H19d zenon_H1ed zenon_H1b0 zenon_H1af zenon_H1ad zenon_H1ab zenon_H1d zenon_He8 zenon_Heb zenon_Hf2 zenon_H118. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 1.11/1.30 apply (zenon_L877_); trivial. % 1.11/1.30 apply (zenon_L904_); trivial. % 1.11/1.30 apply (zenon_L878_); trivial. % 1.11/1.30 (* end of lemma zenon_L905_ *) % 1.11/1.30 assert (zenon_L906_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(c3_1 (a1642))) -> (c0_1 (a1642)) -> (~(c2_1 (a1642))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> (~(hskp17)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (~(hskp20)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> False). % 1.11/1.30 do 0 intro. intros zenon_Hce zenon_Hca zenon_H162 zenon_H163 zenon_H161 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H24f zenon_H82 zenon_H83 zenon_H84 zenon_H8b zenon_H8d zenon_Hcf zenon_H112 zenon_H17 zenon_Hb2 zenon_H229 zenon_H228 zenon_H227 zenon_H91 zenon_H95 zenon_Hd0. % 1.11/1.30 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.11/1.30 apply (zenon_L224_); trivial. % 1.11/1.30 apply (zenon_L763_); trivial. % 1.11/1.30 (* end of lemma zenon_L906_ *) % 1.11/1.30 assert (zenon_L907_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(hskp12)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> False). % 1.11/1.30 do 0 intro. intros zenon_Hf2 zenon_H65 zenon_Heb zenon_He8 zenon_H179 zenon_H17a zenon_H17b zenon_H5a zenon_H232 zenon_H191 zenon_H192 zenon_H233 zenon_H1ed zenon_H19d zenon_H19f zenon_H2d zenon_H259 zenon_H242 zenon_Hd0 zenon_H95 zenon_H227 zenon_H228 zenon_H229 zenon_Hb2 zenon_H17 zenon_H112 zenon_Hcf zenon_H8d zenon_H8b zenon_H84 zenon_H83 zenon_H82 zenon_H24f zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H161 zenon_H163 zenon_H162 zenon_Hca zenon_Hce. % 1.11/1.30 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 1.11/1.30 apply (zenon_L906_); trivial. % 1.11/1.30 apply (zenon_L269_); trivial. % 1.11/1.30 (* end of lemma zenon_L907_ *) % 1.11/1.30 assert (zenon_L908_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> (~(hskp17)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (~(c3_1 (a1642))) -> (c0_1 (a1642)) -> (~(c2_1 (a1642))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> (~(hskp20)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> False). % 1.11/1.30 do 0 intro. intros zenon_Hce zenon_H8b zenon_H8d zenon_Hcf zenon_Hca zenon_Hb2 zenon_H162 zenon_H163 zenon_H161 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H24f zenon_H227 zenon_H228 zenon_H229 zenon_H1ab zenon_H12a zenon_H129 zenon_H128 zenon_H19f zenon_H19d zenon_H84 zenon_H83 zenon_H82 zenon_H192 zenon_H191 zenon_H1ed zenon_H17b zenon_H17a zenon_H179 zenon_H2d zenon_H259 zenon_H91 zenon_H95 zenon_Hd0. % 1.11/1.30 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.11/1.30 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H8f | zenon_intro zenon_Hbd ]. % 1.11/1.30 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H93 | zenon_intro zenon_Hd1 ]. % 1.11/1.30 apply (zenon_L42_); trivial. % 1.11/1.30 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H20. zenon_intro zenon_Hd2. % 1.11/1.30 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Ha1. zenon_intro zenon_Hd3. % 1.11/1.30 apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_Ha3. zenon_intro zenon_Ha4. % 1.11/1.30 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H97 | zenon_intro zenon_Hcd ]. % 1.11/1.30 apply (zenon_L462_); trivial. % 1.11/1.30 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H69 | zenon_intro zenon_Ha2 ]. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H97 | zenon_intro zenon_H250 ]. % 1.11/1.30 apply (zenon_L462_); trivial. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H127 | zenon_intro zenon_H244 ]. % 1.11/1.30 apply (zenon_L150_); trivial. % 1.11/1.30 apply (zenon_L721_); trivial. % 1.11/1.30 apply (zenon_L46_); trivial. % 1.11/1.30 apply (zenon_L48_); trivial. % 1.11/1.30 apply (zenon_L763_); trivial. % 1.11/1.30 (* end of lemma zenon_L908_ *) % 1.11/1.30 assert (zenon_L909_ : ((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> False). % 1.11/1.30 do 0 intro. intros zenon_Hea zenon_H65 zenon_Heb zenon_He8 zenon_H5a zenon_H232 zenon_H191 zenon_H192 zenon_H233 zenon_H229 zenon_H228 zenon_H227 zenon_H259 zenon_H2d zenon_H179 zenon_H17a zenon_H17b zenon_H1ed zenon_H82 zenon_H83 zenon_H84 zenon_H19d zenon_H19f zenon_H128 zenon_H129 zenon_H12a zenon_H1ab zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H24f zenon_H242. % 1.11/1.30 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H20. zenon_intro zenon_Hec. % 1.11/1.30 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He0. zenon_intro zenon_Hed. % 1.11/1.30 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_He1. zenon_intro zenon_Hdf. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 1.11/1.30 apply (zenon_L229_); trivial. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H20. zenon_intro zenon_H240. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H236. zenon_intro zenon_H241. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H237. zenon_intro zenon_H238. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H97 | zenon_intro zenon_H250 ]. % 1.11/1.30 apply (zenon_L462_); trivial. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H127 | zenon_intro zenon_H244 ]. % 1.11/1.30 apply (zenon_L69_); trivial. % 1.11/1.30 apply (zenon_L726_); trivial. % 1.11/1.30 apply (zenon_L96_); trivial. % 1.11/1.30 (* end of lemma zenon_L909_ *) % 1.11/1.30 assert (zenon_L910_ : ((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (~(c0_1 (a1675))) -> (~(c1_1 (a1675))) -> (c2_1 (a1675)) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> False). % 1.11/1.30 do 0 intro. intros zenon_Hea zenon_H65 zenon_Heb zenon_He8 zenon_H179 zenon_H17a zenon_H17b zenon_H5a zenon_H232 zenon_H191 zenon_H192 zenon_H233 zenon_H229 zenon_H228 zenon_H227 zenon_H98 zenon_H99 zenon_H9a zenon_H128 zenon_H129 zenon_H12a zenon_H1ed zenon_H19d zenon_H19f zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H24f zenon_H242. % 1.11/1.30 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H20. zenon_intro zenon_Hec. % 1.11/1.30 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He0. zenon_intro zenon_Hed. % 1.11/1.30 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_He1. zenon_intro zenon_Hdf. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.11/1.30 apply (zenon_L888_); trivial. % 1.11/1.30 apply (zenon_L96_); trivial. % 1.11/1.30 (* end of lemma zenon_L910_ *) % 1.11/1.30 assert (zenon_L911_ : ((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> False). % 1.11/1.30 do 0 intro. intros zenon_Hf8 zenon_Hf2 zenon_H65 zenon_Heb zenon_He8 zenon_H179 zenon_H17a zenon_H17b zenon_H5a zenon_H232 zenon_H191 zenon_H192 zenon_H233 zenon_H229 zenon_H228 zenon_H227 zenon_H128 zenon_H129 zenon_H12a zenon_H1ed zenon_H19d zenon_H19f zenon_H242 zenon_Hd0 zenon_H95 zenon_H24f zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H161 zenon_H163 zenon_H162 zenon_Hb2 zenon_Hca zenon_Hcf zenon_Hce. % 1.11/1.30 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_H20. zenon_intro zenon_Hf9. % 1.11/1.30 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H9a. zenon_intro zenon_Hfa. % 1.11/1.30 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_H98. zenon_intro zenon_H99. % 1.11/1.30 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 1.11/1.30 apply (zenon_L769_); trivial. % 1.11/1.30 apply (zenon_L910_); trivial. % 1.11/1.30 (* end of lemma zenon_L911_ *) % 1.11/1.30 assert (zenon_L912_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> False). % 1.11/1.30 do 0 intro. intros zenon_H15a zenon_H1ab zenon_Hf2 zenon_H65 zenon_Heb zenon_He8 zenon_H179 zenon_H17a zenon_H17b zenon_H5a zenon_H232 zenon_H191 zenon_H192 zenon_H233 zenon_H1ed zenon_H19d zenon_H19f zenon_H2d zenon_H259 zenon_H242 zenon_Hd0 zenon_H95 zenon_H227 zenon_H228 zenon_H229 zenon_Hb2 zenon_H112 zenon_Hcf zenon_H8d zenon_H84 zenon_H83 zenon_H82 zenon_H24f zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H161 zenon_H163 zenon_H162 zenon_Hca zenon_Hce zenon_Hf1. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.11/1.30 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 1.11/1.30 apply (zenon_L907_); trivial. % 1.11/1.30 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_H20. zenon_intro zenon_Hf9. % 1.11/1.30 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H9a. zenon_intro zenon_Hfa. % 1.11/1.30 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_H98. zenon_intro zenon_H99. % 1.11/1.30 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 1.11/1.30 apply (zenon_L769_); trivial. % 1.11/1.30 apply (zenon_L269_); trivial. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 1.11/1.30 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 1.11/1.30 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 1.11/1.30 apply (zenon_L908_); trivial. % 1.11/1.30 apply (zenon_L909_); trivial. % 1.11/1.30 apply (zenon_L911_); trivial. % 1.11/1.30 (* end of lemma zenon_L912_ *) % 1.11/1.30 assert (zenon_L913_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(c3_1 (a1642))) -> (c0_1 (a1642)) -> (~(c2_1 (a1642))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp17)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> (~(c3_1 (a1648))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp29))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> False). % 1.11/1.30 do 0 intro. intros zenon_H68 zenon_H2b9 zenon_Hce zenon_Hca zenon_H162 zenon_H163 zenon_H161 zenon_H24f zenon_H8b zenon_H8d zenon_H65 zenon_H5a zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2c5 zenon_H61 zenon_H242 zenon_Heb zenon_He8 zenon_H1ed zenon_H84 zenon_H83 zenon_H82 zenon_H211 zenon_H13e zenon_H13d zenon_H13c zenon_H179 zenon_H17a zenon_H17b zenon_H1a4 zenon_H1c6 zenon_H227 zenon_H228 zenon_H229 zenon_H233 zenon_H192 zenon_H191 zenon_H232 zenon_H95 zenon_Hb2 zenon_H170 zenon_Hcf zenon_Hd0 zenon_H25d zenon_H222 zenon_Hf2. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.11/1.30 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 1.11/1.30 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.11/1.30 apply (zenon_L899_); trivial. % 1.11/1.30 apply (zenon_L763_); trivial. % 1.11/1.30 apply (zenon_L277_); trivial. % 1.11/1.30 apply (zenon_L875_); trivial. % 1.11/1.30 (* end of lemma zenon_L913_ *) % 1.11/1.30 assert (zenon_L914_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp5)) -> ((hskp12)\/((hskp5)\/(hskp24))) -> (ndr1_0) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> (~(hskp10)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> False). % 1.11/1.30 do 0 intro. intros zenon_Hf0 zenon_H65 zenon_H2c5 zenon_H2b1 zenon_H2b2 zenon_H19d zenon_H19f zenon_H227 zenon_H228 zenon_H229 zenon_H112 zenon_H17 zenon_H3 zenon_H2a0 zenon_H20 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H189 zenon_H1d1. % 1.11/1.30 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 1.11/1.30 apply (zenon_L159_); trivial. % 1.11/1.30 apply (zenon_L845_); trivial. % 1.11/1.30 (* end of lemma zenon_L914_ *) % 1.11/1.30 assert (zenon_L915_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> (~(hskp5)) -> ((hskp12)\/((hskp5)\/(hskp24))) -> (ndr1_0) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> (~(hskp10)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> ((hskp10)\/((hskp18)\/(hskp11))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> False). % 1.11/1.30 do 0 intro. intros zenon_H159 zenon_H242 zenon_H286 zenon_Hd zenon_H1ab zenon_H232 zenon_Hf0 zenon_H65 zenon_H2c5 zenon_H2b1 zenon_H2b2 zenon_H19d zenon_H19f zenon_H227 zenon_H228 zenon_H229 zenon_H112 zenon_H3 zenon_H2a0 zenon_H20 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H189 zenon_H1d1 zenon_H18b zenon_H132 zenon_H136 zenon_H15a. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.11/1.30 apply (zenon_L914_); trivial. % 1.11/1.30 apply (zenon_L105_); trivial. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.11/1.30 apply (zenon_L914_); trivial. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 1.11/1.30 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 1.11/1.30 apply (zenon_L159_); trivial. % 1.11/1.30 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_H20. zenon_intro zenon_Hf6. % 1.11/1.30 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H79. zenon_intro zenon_Hf7. % 1.11/1.30 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H7a. zenon_intro zenon_H78. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 1.11/1.30 apply (zenon_L256_); trivial. % 1.11/1.30 apply (zenon_L809_); trivial. % 1.11/1.30 (* end of lemma zenon_L915_ *) % 1.11/1.30 assert (zenon_L916_ : ((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (~(hskp12)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c3_1 (a1648))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> False). % 1.11/1.30 do 0 intro. intros zenon_H60 zenon_H34 zenon_H242 zenon_H1ed zenon_H191 zenon_H192 zenon_H265 zenon_H19d zenon_H19f zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H17 zenon_H2bb zenon_H5a zenon_H1a4 zenon_H232 zenon_H229 zenon_H228 zenon_H227 zenon_H2c5 zenon_H61. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H20. zenon_intro zenon_H62. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H38. zenon_intro zenon_H63. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H36. zenon_intro zenon_H37. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.11/1.30 apply (zenon_L810_); trivial. % 1.11/1.30 apply (zenon_L857_); trivial. % 1.11/1.30 apply (zenon_L322_); trivial. % 1.11/1.30 (* end of lemma zenon_L916_ *) % 1.11/1.30 assert (zenon_L917_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c3_1 (a1648))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> (~(hskp12)) -> (~(hskp5)) -> ((hskp12)\/((hskp5)\/(hskp24))) -> False). % 1.11/1.30 do 0 intro. intros zenon_H65 zenon_H34 zenon_H242 zenon_H1ed zenon_H191 zenon_H192 zenon_H265 zenon_H19d zenon_H19f zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2bb zenon_H5a zenon_H1a4 zenon_H232 zenon_H229 zenon_H228 zenon_H227 zenon_H2c5 zenon_H61 zenon_H17 zenon_H3 zenon_H2a0. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.11/1.30 apply (zenon_L400_); trivial. % 1.11/1.30 apply (zenon_L916_); trivial. % 1.11/1.30 (* end of lemma zenon_L917_ *) % 1.11/1.30 assert (zenon_L918_ : ((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a1691)) -> (c2_1 (a1691)) -> (~(c1_1 (a1691))) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (~(hskp24)) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> False). % 1.11/1.30 do 0 intro. intros zenon_H59 zenon_H242 zenon_H2a9 zenon_H3 zenon_Hc2 zenon_Hc1 zenon_Hc0 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1ed zenon_H227 zenon_H228 zenon_H229 zenon_H233 zenon_H1b zenon_H192 zenon_H191 zenon_H232. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 1.11/1.30 apply (zenon_L229_); trivial. % 1.11/1.30 apply (zenon_L502_); trivial. % 1.11/1.30 (* end of lemma zenon_L918_ *) % 1.11/1.30 assert (zenon_L919_ : ((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (~(c3_1 (a1648))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (~(hskp5)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> False). % 1.11/1.30 do 0 intro. intros zenon_Hc9 zenon_H65 zenon_H2c5 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H1a4 zenon_H5a zenon_H170 zenon_H13 zenon_H232 zenon_H191 zenon_H192 zenon_H233 zenon_H229 zenon_H228 zenon_H227 zenon_H1ed zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H3 zenon_H2a9 zenon_H242 zenon_H61. % 1.11/1.30 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H20. zenon_intro zenon_Hcb. % 1.11/1.30 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc1. zenon_intro zenon_Hcc. % 1.11/1.30 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc2. zenon_intro zenon_Hc0. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.11/1.30 apply (zenon_L91_); trivial. % 1.11/1.30 apply (zenon_L918_); trivial. % 1.11/1.30 apply (zenon_L858_); trivial. % 1.11/1.30 (* end of lemma zenon_L919_ *) % 1.11/1.30 assert (zenon_L920_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (~(c3_1 (a1648))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (~(hskp5)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> (~(hskp19)) -> (~(hskp6)) -> ((hskp19)\/((hskp21)\/(hskp6))) -> False). % 1.11/1.30 do 0 intro. intros zenon_Hce zenon_H65 zenon_H2c5 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H1a4 zenon_H5a zenon_H170 zenon_H232 zenon_H191 zenon_H192 zenon_H233 zenon_H229 zenon_H228 zenon_H227 zenon_H1ed zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H3 zenon_H2a9 zenon_H242 zenon_H61 zenon_H13 zenon_Hb zenon_H16e. % 1.11/1.30 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.11/1.30 apply (zenon_L85_); trivial. % 1.11/1.30 apply (zenon_L919_); trivial. % 1.11/1.30 (* end of lemma zenon_L920_ *) % 1.11/1.30 assert (zenon_L921_ : ((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c3_1 (a1648))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> False). % 1.11/1.30 do 0 intro. intros zenon_H60 zenon_H34 zenon_H242 zenon_H1ed zenon_H265 zenon_H19d zenon_H19f zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H227 zenon_H228 zenon_H229 zenon_H1ff zenon_H192 zenon_H191 zenon_H12a zenon_H129 zenon_H128 zenon_H232 zenon_H5a zenon_H1a4 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2c5 zenon_H61. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H20. zenon_intro zenon_H62. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H38. zenon_intro zenon_H63. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H36. zenon_intro zenon_H37. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.11/1.30 apply (zenon_L509_); trivial. % 1.11/1.30 apply (zenon_L857_); trivial. % 1.11/1.30 apply (zenon_L322_); trivial. % 1.11/1.30 (* end of lemma zenon_L921_ *) % 1.11/1.30 assert (zenon_L922_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c3_1 (a1648))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (ndr1_0) -> (~(c3_1 (a1682))) -> (c1_1 (a1682)) -> (c2_1 (a1682)) -> (~(hskp22)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> False). % 1.11/1.30 do 0 intro. intros zenon_H65 zenon_H34 zenon_H1ed zenon_H265 zenon_H19d zenon_H19f zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H1ff zenon_H12a zenon_H129 zenon_H128 zenon_H5a zenon_H1a4 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2c5 zenon_H61 zenon_H232 zenon_H191 zenon_H192 zenon_H233 zenon_H229 zenon_H228 zenon_H227 zenon_H20 zenon_H44 zenon_H45 zenon_H46 zenon_H20f zenon_H211 zenon_H242. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.11/1.30 apply (zenon_L232_); trivial. % 1.11/1.30 apply (zenon_L921_); trivial. % 1.11/1.30 (* end of lemma zenon_L922_ *) % 1.11/1.30 assert (zenon_L923_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (~(hskp25)) -> (~(hskp28)) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (ndr1_0) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (~(hskp24)) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> False). % 1.11/1.30 do 0 intro. intros zenon_H242 zenon_H1ed zenon_H265 zenon_H19 zenon_H3f zenon_H19d zenon_H19f zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H20 zenon_H227 zenon_H228 zenon_H229 zenon_H233 zenon_H1b zenon_H192 zenon_H191 zenon_H232. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 1.11/1.30 apply (zenon_L229_); trivial. % 1.11/1.30 apply (zenon_L508_); trivial. % 1.11/1.30 (* end of lemma zenon_L923_ *) % 1.11/1.30 assert (zenon_L924_ : ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp29))) -> (~(c3_1 (a1697))) -> (~(c2_1 (a1697))) -> (~(c0_1 (a1697))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (ndr1_0) -> (~(hskp29)) -> False). % 1.11/1.30 do 0 intro. intros zenon_H2c5 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H192 zenon_H191 zenon_H1a4 zenon_H25d zenon_H218 zenon_H217 zenon_H216 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H20 zenon_H230. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H35 | zenon_intro zenon_H2c6 ]. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H1ae | zenon_intro zenon_H25e ]. % 1.11/1.30 apply (zenon_L194_); trivial. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H69 | zenon_intro zenon_H231 ]. % 1.11/1.30 apply (zenon_L168_); trivial. % 1.11/1.30 exact (zenon_H230 zenon_H231). % 1.11/1.30 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H244 ]. % 1.11/1.30 apply (zenon_L191_); trivial. % 1.11/1.30 apply (zenon_L722_); trivial. % 1.11/1.30 (* end of lemma zenon_L924_ *) % 1.11/1.30 assert (zenon_L925_ : ((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp29))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (~(c3_1 (a1697))) -> (~(c2_1 (a1697))) -> (~(c0_1 (a1697))) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> False). % 1.11/1.30 do 0 intro. intros zenon_H59 zenon_H242 zenon_H1c6 zenon_H1ed zenon_H25d zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H218 zenon_H217 zenon_H216 zenon_H1a4 zenon_H191 zenon_H192 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H2c5. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 1.11/1.30 apply (zenon_L924_); trivial. % 1.11/1.30 apply (zenon_L510_); trivial. % 1.11/1.30 (* end of lemma zenon_L925_ *) % 1.11/1.30 assert (zenon_L926_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (ndr1_0) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (~(hskp24)) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (~(c3_1 (a1648))) -> (~(c0_1 (a1697))) -> (~(c2_1 (a1697))) -> (~(c3_1 (a1697))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp29))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> False). % 1.11/1.30 do 0 intro. intros zenon_H34 zenon_H242 zenon_H1ed zenon_H265 zenon_H19d zenon_H19f zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H20 zenon_H227 zenon_H228 zenon_H229 zenon_H233 zenon_H1b zenon_H192 zenon_H191 zenon_H232 zenon_H2c5 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H1a4 zenon_H216 zenon_H217 zenon_H218 zenon_H25d zenon_H1c6 zenon_H61. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.11/1.30 apply (zenon_L923_); trivial. % 1.11/1.30 apply (zenon_L925_); trivial. % 1.11/1.30 apply (zenon_L195_); trivial. % 1.11/1.30 (* end of lemma zenon_L926_ *) % 1.11/1.30 assert (zenon_L927_ : ((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(c0_1 (a1701))) -> (~(c1_1 (a1701))) -> (c3_1 (a1701)) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp29))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (~(c3_1 (a1697))) -> (~(c2_1 (a1697))) -> (~(c0_1 (a1697))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> False). % 1.11/1.30 do 0 intro. intros zenon_H59 zenon_H242 zenon_H5a zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1ed zenon_H36 zenon_H37 zenon_H38 zenon_H1a4 zenon_H191 zenon_H192 zenon_H25d zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H218 zenon_H217 zenon_H216 zenon_H2c5. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 1.11/1.30 apply (zenon_L723_); trivial. % 1.11/1.30 apply (zenon_L804_); trivial. % 1.11/1.30 (* end of lemma zenon_L927_ *) % 1.11/1.30 assert (zenon_L928_ : ((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp29))) -> (~(c3_1 (a1648))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> False). % 1.11/1.30 do 0 intro. intros zenon_H21f zenon_H65 zenon_H5a zenon_H61 zenon_H1c6 zenon_H25d zenon_H1a4 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H2c5 zenon_H232 zenon_H191 zenon_H192 zenon_H233 zenon_H229 zenon_H228 zenon_H227 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H19f zenon_H19d zenon_H265 zenon_H1ed zenon_H242 zenon_H34. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H20. zenon_intro zenon_H220. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H216. zenon_intro zenon_H221. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H217. zenon_intro zenon_H218. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.11/1.30 apply (zenon_L926_); trivial. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H20. zenon_intro zenon_H62. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H38. zenon_intro zenon_H63. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H36. zenon_intro zenon_H37. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 1.11/1.30 apply (zenon_L723_); trivial. % 1.11/1.30 apply (zenon_L508_); trivial. % 1.11/1.30 apply (zenon_L927_); trivial. % 1.11/1.30 apply (zenon_L322_); trivial. % 1.11/1.30 (* end of lemma zenon_L928_ *) % 1.11/1.30 assert (zenon_L929_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1648))/\((c2_1 (a1648))/\(~(c3_1 (a1648))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp29))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> ((hskp19)\/((hskp21)\/(hskp6))) -> (~(hskp6)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp5))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> (~(c1_1 (a1634))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> ((hskp10)\/((hskp18)\/(hskp11))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (ndr1_0) -> ((hskp12)\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (~(hskp9)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> False). % 1.11/1.30 do 0 intro. intros zenon_H224 zenon_H68 zenon_H222 zenon_H1c6 zenon_H25d zenon_H211 zenon_H1ff zenon_H16e zenon_Hb zenon_H2a9 zenon_H233 zenon_H170 zenon_Hce zenon_H61 zenon_H5a zenon_H2bb zenon_H2b0 zenon_H265 zenon_H1ed zenon_H34 zenon_H15a zenon_H136 zenon_H132 zenon_H18b zenon_H1d1 zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H20 zenon_H2a0 zenon_H3 zenon_H112 zenon_H229 zenon_H228 zenon_H227 zenon_H19f zenon_H19d zenon_H2b2 zenon_H2b1 zenon_H2c5 zenon_H65 zenon_Hf0 zenon_H232 zenon_H1ab zenon_Hd zenon_H286 zenon_H242 zenon_H159. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.11/1.30 apply (zenon_L915_); trivial. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.11/1.30 apply (zenon_L917_); trivial. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.11/1.30 apply (zenon_L920_); trivial. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H20. zenon_intro zenon_H66. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H45. zenon_intro zenon_H67. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H46. zenon_intro zenon_H44. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.11/1.30 apply (zenon_L922_); trivial. % 1.11/1.30 apply (zenon_L928_); trivial. % 1.11/1.30 (* end of lemma zenon_L929_ *) % 1.11/1.30 assert (zenon_L930_ : ((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a1691)) -> (c2_1 (a1691)) -> (~(c1_1 (a1691))) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> (~(c1_1 (a1667))) -> (c0_1 (a1667)) -> (c2_1 (a1667)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> False). % 1.11/1.30 do 0 intro. intros zenon_H59 zenon_H242 zenon_H2a9 zenon_H3 zenon_Hc2 zenon_Hc1 zenon_Hc0 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1ed zenon_H227 zenon_H228 zenon_H229 zenon_H78 zenon_H79 zenon_H7a zenon_H232. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 1.11/1.30 apply (zenon_L256_); trivial. % 1.11/1.30 apply (zenon_L502_); trivial. % 1.11/1.30 (* end of lemma zenon_L930_ *) % 1.11/1.30 assert (zenon_L931_ : ((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> (~(c1_1 (a1667))) -> (c0_1 (a1667)) -> (c2_1 (a1667)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (~(hskp19)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> False). % 1.11/1.30 do 0 intro. intros zenon_Hc9 zenon_H61 zenon_H242 zenon_H2a9 zenon_H3 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1ed zenon_H227 zenon_H228 zenon_H229 zenon_H78 zenon_H79 zenon_H7a zenon_H232 zenon_H13 zenon_H170. % 1.11/1.30 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H20. zenon_intro zenon_Hcb. % 1.11/1.30 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc1. zenon_intro zenon_Hcc. % 1.11/1.30 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc2. zenon_intro zenon_Hc0. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.11/1.30 apply (zenon_L91_); trivial. % 1.11/1.30 apply (zenon_L930_); trivial. % 1.11/1.30 (* end of lemma zenon_L931_ *) % 1.11/1.30 assert (zenon_L932_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> (~(c1_1 (a1667))) -> (c0_1 (a1667)) -> (c2_1 (a1667)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (~(hskp6)) -> ((hskp19)\/((hskp21)\/(hskp6))) -> False). % 1.11/1.30 do 0 intro. intros zenon_Hce zenon_H61 zenon_H242 zenon_H2a9 zenon_H3 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1ed zenon_H227 zenon_H228 zenon_H229 zenon_H78 zenon_H79 zenon_H7a zenon_H232 zenon_H170 zenon_H13 zenon_Hb zenon_H16e. % 1.11/1.30 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.11/1.30 apply (zenon_L85_); trivial. % 1.11/1.30 apply (zenon_L931_); trivial. % 1.11/1.30 (* end of lemma zenon_L932_ *) % 1.11/1.30 assert (zenon_L933_ : ((ndr1_0)/\((c0_1 (a1648))/\((c2_1 (a1648))/\(~(c3_1 (a1648)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> ((hskp19)\/((hskp21)\/(hskp6))) -> (~(hskp6)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> False). % 1.11/1.30 do 0 intro. intros zenon_H1a1 zenon_H68 zenon_H2b9 zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_H16e zenon_Hb zenon_H61 zenon_H242 zenon_H2a9 zenon_H3 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1ed zenon_H227 zenon_H228 zenon_H229 zenon_H233 zenon_H232 zenon_H170 zenon_H5a zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2c5 zenon_H65 zenon_Hce. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.11/1.30 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.11/1.30 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.11/1.30 apply (zenon_L920_); trivial. % 1.11/1.30 apply (zenon_L704_); trivial. % 1.11/1.30 (* end of lemma zenon_L933_ *) % 1.11/1.30 assert (zenon_L934_ : ((ndr1_0)/\((~(c0_1 (a1644)))/\((~(c1_1 (a1644)))/\(~(c3_1 (a1644)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1648))/\((c2_1 (a1648))/\(~(c3_1 (a1648))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> (~(hskp6)) -> ((hskp19)\/((hskp21)\/(hskp6))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> False). % 1.11/1.31 do 0 intro. intros zenon_H158 zenon_H224 zenon_H233 zenon_H5a zenon_H2c5 zenon_H65 zenon_H1d1 zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_Hce zenon_H61 zenon_H242 zenon_H2a9 zenon_H3 zenon_H1ed zenon_H227 zenon_H228 zenon_H229 zenon_H232 zenon_H170 zenon_Hb zenon_H16e zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2b9 zenon_H68 zenon_Hf0. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H20. zenon_intro zenon_H15b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_Hd5. zenon_intro zenon_H15c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_Hd6. zenon_intro zenon_Hd7. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 1.11/1.31 apply (zenon_L159_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_H20. zenon_intro zenon_Hf6. % 1.11/1.31 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H79. zenon_intro zenon_Hf7. % 1.11/1.31 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H7a. zenon_intro zenon_H78. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.11/1.31 apply (zenon_L932_); trivial. % 1.11/1.31 apply (zenon_L704_); trivial. % 1.11/1.31 apply (zenon_L933_); trivial. % 1.11/1.31 (* end of lemma zenon_L934_ *) % 1.11/1.31 assert (zenon_L935_ : ((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (c2_1 (a1646)) -> (c1_1 (a1646)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(c1_1 (a1634))) -> (~(hskp2)) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> False). % 1.11/1.31 do 0 intro. intros zenon_H23f zenon_H24f zenon_H1ab zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H17b zenon_H17a zenon_H179 zenon_H4f zenon_H4e zenon_H5a zenon_H12a zenon_H129 zenon_H128 zenon_H1ed zenon_H2b0 zenon_H19d zenon_H2b1 zenon_H2b2 zenon_H191 zenon_H192 zenon_H19f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H20. zenon_intro zenon_H240. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H236. zenon_intro zenon_H241. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H237. zenon_intro zenon_H238. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H97 | zenon_intro zenon_H250 ]. % 1.11/1.31 apply (zenon_L516_); trivial. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H127 | zenon_intro zenon_H244 ]. % 1.11/1.31 apply (zenon_L69_); trivial. % 1.11/1.31 apply (zenon_L726_); trivial. % 1.11/1.31 (* end of lemma zenon_L935_ *) % 1.11/1.31 assert (zenon_L936_ : ((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (~(c0_1 (a1709))) -> (c1_1 (a1709)) -> (c2_1 (a1709)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(c1_1 (a1634))) -> (~(hskp2)) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> False). % 1.11/1.31 do 0 intro. intros zenon_H23f zenon_H24f zenon_H1ab zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H17b zenon_H17a zenon_H179 zenon_H22 zenon_H23 zenon_H24 zenon_H5a zenon_H12a zenon_H129 zenon_H128 zenon_H1ed zenon_H2b0 zenon_H19d zenon_H2b1 zenon_H2b2 zenon_H191 zenon_H192 zenon_H19f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H20. zenon_intro zenon_H240. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H236. zenon_intro zenon_H241. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H237. zenon_intro zenon_H238. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H97 | zenon_intro zenon_H250 ]. % 1.11/1.31 apply (zenon_L518_); trivial. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H127 | zenon_intro zenon_H244 ]. % 1.11/1.31 apply (zenon_L69_); trivial. % 1.11/1.31 apply (zenon_L726_); trivial. % 1.11/1.31 (* end of lemma zenon_L936_ *) % 1.11/1.31 assert (zenon_L937_ : ((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (~(hskp24)) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> False). % 1.11/1.31 do 0 intro. intros zenon_H2f zenon_H242 zenon_H24f zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H19f zenon_H19d zenon_H1ed zenon_H1ab zenon_H12a zenon_H129 zenon_H128 zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H17b zenon_H17a zenon_H179 zenon_H5a zenon_H227 zenon_H228 zenon_H229 zenon_H233 zenon_H1b zenon_H192 zenon_H191 zenon_H232. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H20. zenon_intro zenon_H31. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H23. zenon_intro zenon_H32. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H24. zenon_intro zenon_H22. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 1.11/1.31 apply (zenon_L229_); trivial. % 1.11/1.31 apply (zenon_L936_); trivial. % 1.11/1.31 (* end of lemma zenon_L937_ *) % 1.11/1.31 assert (zenon_L938_ : ((ndr1_0)/\((c0_1 (a1648))/\((c2_1 (a1648))/\(~(c3_1 (a1648)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> ((hskp12)\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> False). % 1.11/1.31 do 0 intro. intros zenon_H1a1 zenon_H15a zenon_H24f zenon_H1ab zenon_H17b zenon_H17a zenon_H179 zenon_H233 zenon_H1ff zenon_H2a0 zenon_H3 zenon_H61 zenon_H2c5 zenon_H227 zenon_H228 zenon_H229 zenon_H232 zenon_H5a zenon_H2bb zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H19f zenon_H19d zenon_H265 zenon_H1ed zenon_H242 zenon_H34 zenon_H65. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.11/1.31 apply (zenon_L917_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.11/1.31 apply (zenon_L509_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 1.11/1.31 apply (zenon_L229_); trivial. % 1.11/1.31 apply (zenon_L935_); trivial. % 1.11/1.31 apply (zenon_L937_); trivial. % 1.11/1.31 apply (zenon_L921_); trivial. % 1.11/1.31 (* end of lemma zenon_L938_ *) % 1.11/1.31 assert (zenon_L939_ : ((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> ((hskp12)\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (~(hskp12)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> (~(c1_1 (a1634))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> False). % 1.11/1.31 do 0 intro. intros zenon_Hf5 zenon_H68 zenon_H2b9 zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_H2a0 zenon_H3 zenon_H17 zenon_H2c5 zenon_H2b1 zenon_H2b2 zenon_H19d zenon_H19f zenon_H170 zenon_H2bb zenon_H2b0 zenon_H1ed zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H5a zenon_H242 zenon_H61 zenon_H65. % 1.11/1.31 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_H20. zenon_intro zenon_Hf6. % 1.11/1.31 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H79. zenon_intro zenon_Hf7. % 1.11/1.31 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H7a. zenon_intro zenon_H78. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.11/1.31 apply (zenon_L807_); trivial. % 1.11/1.31 apply (zenon_L704_); trivial. % 1.11/1.31 (* end of lemma zenon_L939_ *) % 1.11/1.31 assert (zenon_L940_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> (~(hskp11)) -> ((hskp10)\/((hskp18)\/(hskp11))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (ndr1_0) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(c1_1 (a1634))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp5)) -> ((hskp12)\/((hskp5)\/(hskp24))) -> (~(c0_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c3_1 (a1644))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> False). % 1.11/1.31 do 0 intro. intros zenon_H15a zenon_H136 zenon_H132 zenon_H2d zenon_H18b zenon_H1d1 zenon_H189 zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H20 zenon_H65 zenon_H61 zenon_H242 zenon_H5a zenon_H1ed zenon_H2b0 zenon_H2bb zenon_H170 zenon_H19f zenon_H19d zenon_H2b2 zenon_H2b1 zenon_H2c5 zenon_H3 zenon_H2a0 zenon_Hd5 zenon_Hd6 zenon_Hd7 zenon_H2b9 zenon_H68 zenon_Hf0. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 1.11/1.31 apply (zenon_L159_); trivial. % 1.11/1.31 apply (zenon_L939_); trivial. % 1.11/1.31 apply (zenon_L105_); trivial. % 1.11/1.31 (* end of lemma zenon_L940_ *) % 1.11/1.31 assert (zenon_L941_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((hskp15)\/((hskp19)\/(hskp1))) -> (~(hskp1)) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> ((hskp12)\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> (~(c1_1 (a1634))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> (ndr1_0) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> (~(hskp10)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> ((hskp10)\/((hskp18)\/(hskp11))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> False). % 1.11/1.31 do 0 intro. intros zenon_H159 zenon_H118 zenon_H1ab zenon_H15 zenon_H5 zenon_H17b zenon_H17a zenon_H179 zenon_Hf0 zenon_H68 zenon_H2b9 zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_H2a0 zenon_H3 zenon_H2c5 zenon_H2b1 zenon_H2b2 zenon_H19d zenon_H19f zenon_H170 zenon_H2bb zenon_H2b0 zenon_H1ed zenon_H5a zenon_H242 zenon_H61 zenon_H65 zenon_H20 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H189 zenon_H1d1 zenon_H18b zenon_H132 zenon_H136 zenon_H15a. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.11/1.31 apply (zenon_L940_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.11/1.31 apply (zenon_L822_); trivial. % 1.11/1.31 apply (zenon_L708_); trivial. % 1.11/1.31 (* end of lemma zenon_L941_ *) % 1.11/1.31 assert (zenon_L942_ : ((ndr1_0)/\((~(c0_1 (a1644)))/\((~(c1_1 (a1644)))/\(~(c3_1 (a1644)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1648))/\((c2_1 (a1648))/\(~(c3_1 (a1648))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> ((hskp10)\/((hskp18)\/(hskp11))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(c1_1 (a1634))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp5)) -> ((hskp12)\/((hskp5)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> (~(hskp1)) -> ((hskp15)\/((hskp19)\/(hskp1))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> False). % 1.11/1.31 do 0 intro. intros zenon_H158 zenon_H224 zenon_H24f zenon_H233 zenon_H1ff zenon_H227 zenon_H228 zenon_H229 zenon_H232 zenon_H265 zenon_H34 zenon_H15a zenon_H136 zenon_H132 zenon_H18b zenon_H1d1 zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H65 zenon_H61 zenon_H242 zenon_H5a zenon_H1ed zenon_H2b0 zenon_H2bb zenon_H170 zenon_H19f zenon_H19d zenon_H2b2 zenon_H2b1 zenon_H2c5 zenon_H3 zenon_H2a0 zenon_H2b9 zenon_H68 zenon_Hf0 zenon_H179 zenon_H17a zenon_H17b zenon_H5 zenon_H15 zenon_H1ab zenon_H118 zenon_H159. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H20. zenon_intro zenon_H15b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_Hd5. zenon_intro zenon_H15c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_Hd6. zenon_intro zenon_Hd7. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.11/1.31 apply (zenon_L941_); trivial. % 1.11/1.31 apply (zenon_L938_); trivial. % 1.11/1.31 (* end of lemma zenon_L942_ *) % 1.11/1.31 assert (zenon_L943_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (ndr1_0) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> (~(hskp28)) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> False). % 1.11/1.31 do 0 intro. intros zenon_H242 zenon_H1ed zenon_H82 zenon_H83 zenon_H84 zenon_H19d zenon_H19f zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H20 zenon_H227 zenon_H228 zenon_H229 zenon_H1ff zenon_H3f zenon_H192 zenon_H191 zenon_H12a zenon_H129 zenon_H128 zenon_H232. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 1.11/1.31 apply (zenon_L236_); trivial. % 1.11/1.31 apply (zenon_L526_); trivial. % 1.11/1.31 (* end of lemma zenon_L943_ *) % 1.11/1.31 assert (zenon_L944_ : ((ndr1_0)/\((c0_1 (a1640))/\((c3_1 (a1640))/\(~(c2_1 (a1640)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1648))/\((c2_1 (a1648))/\(~(c3_1 (a1648))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> False). % 1.11/1.31 do 0 intro. intros zenon_H2cf zenon_H224 zenon_H15a zenon_H65 zenon_H61 zenon_H2c5 zenon_H5a zenon_H1ff zenon_H232 zenon_H233 zenon_H229 zenon_H228 zenon_H227 zenon_H2bb zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H1ed zenon_H242 zenon_H1d1 zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H19d zenon_H19f zenon_Hf0. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H20. zenon_intro zenon_H2d0. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H83. zenon_intro zenon_H2d1. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2d1). zenon_intro zenon_H84. zenon_intro zenon_H82. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.11/1.31 apply (zenon_L160_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.11/1.31 apply (zenon_L842_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.11/1.31 apply (zenon_L527_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H20. zenon_intro zenon_H62. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H38. zenon_intro zenon_H63. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H36. zenon_intro zenon_H37. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.11/1.31 apply (zenon_L943_); trivial. % 1.11/1.31 apply (zenon_L857_); trivial. % 1.11/1.31 (* end of lemma zenon_L944_ *) % 1.11/1.31 assert (zenon_L945_ : ((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> False). % 1.11/1.31 do 0 intro. intros zenon_H64 zenon_H2ce zenon_H276 zenon_H26e zenon_H26c zenon_H2b2 zenon_H2b1 zenon_H2b0. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H20. zenon_intro zenon_H66. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H45. zenon_intro zenon_H67. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H46. zenon_intro zenon_H44. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H251 | zenon_intro zenon_H2ba ]. % 1.11/1.31 apply (zenon_L313_); trivial. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H2af | zenon_intro zenon_H43 ]. % 1.11/1.31 apply (zenon_L703_); trivial. % 1.11/1.31 apply (zenon_L25_); trivial. % 1.11/1.31 (* end of lemma zenon_L945_ *) % 1.11/1.31 assert (zenon_L946_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp11))) -> (~(hskp11)) -> (~(hskp7)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> (~(c0_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c3_1 (a1644))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> False). % 1.11/1.31 do 0 intro. intros zenon_H68 zenon_H2ce zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H276 zenon_H26e zenon_H26c zenon_Hce zenon_H61 zenon_H172 zenon_H2d zenon_H9 zenon_H95 zenon_Hb2 zenon_H170 zenon_Hcf zenon_Hd0 zenon_Hd5 zenon_Hd6 zenon_Hd7 zenon_He8 zenon_Heb zenon_Hf2. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.11/1.31 apply (zenon_L309_); trivial. % 1.11/1.31 apply (zenon_L945_); trivial. % 1.11/1.31 (* end of lemma zenon_L946_ *) % 1.11/1.31 assert (zenon_L947_ : ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (ndr1_0) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> False). % 1.11/1.31 do 0 intro. intros zenon_H2ce zenon_H276 zenon_H26e zenon_H26c zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H1ae zenon_H20 zenon_H13c zenon_H13d zenon_H13e. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H251 | zenon_intro zenon_H2ba ]. % 1.11/1.31 apply (zenon_L313_); trivial. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H2af | zenon_intro zenon_H43 ]. % 1.11/1.31 apply (zenon_L703_); trivial. % 1.11/1.31 apply (zenon_L186_); trivial. % 1.11/1.31 (* end of lemma zenon_L947_ *) % 1.11/1.31 assert (zenon_L948_ : ((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp10)\/(hskp1))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (~(hskp10)) -> (~(hskp1)) -> False). % 1.11/1.31 do 0 intro. intros zenon_H155 zenon_H1bc zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H26c zenon_H26e zenon_H276 zenon_H2ce zenon_H189 zenon_H5. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1bd ]. % 1.11/1.31 apply (zenon_L947_); trivial. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H18a | zenon_intro zenon_H6 ]. % 1.11/1.31 exact (zenon_H189 zenon_H18a). % 1.11/1.31 exact (zenon_H5 zenon_H6). % 1.11/1.31 (* end of lemma zenon_L948_ *) % 1.11/1.31 assert (zenon_L949_ : ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))) -> (~(c1_1 (a1634))) -> (ndr1_0) -> (~(hskp11)) -> False). % 1.11/1.31 do 0 intro. intros zenon_H280 zenon_H276 zenon_H26e zenon_H26c zenon_H2b2 zenon_H2b1 zenon_H244 zenon_H2b0 zenon_H20 zenon_H2d. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H251 | zenon_intro zenon_H281 ]. % 1.11/1.31 apply (zenon_L313_); trivial. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H69 | zenon_intro zenon_H2e ]. % 1.11/1.31 apply (zenon_L721_); trivial. % 1.11/1.31 exact (zenon_H2d zenon_H2e). % 1.11/1.31 (* end of lemma zenon_L949_ *) % 1.11/1.31 assert (zenon_L950_ : ((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (~(hskp11)) -> False). % 1.11/1.31 do 0 intro. intros zenon_H60 zenon_H2c5 zenon_H192 zenon_H191 zenon_H1a4 zenon_H280 zenon_H276 zenon_H26e zenon_H26c zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H2d. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H20. zenon_intro zenon_H62. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H38. zenon_intro zenon_H63. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H36. zenon_intro zenon_H37. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H35 | zenon_intro zenon_H2c6 ]. % 1.11/1.31 apply (zenon_L22_); trivial. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H244 ]. % 1.11/1.31 apply (zenon_L191_); trivial. % 1.11/1.31 apply (zenon_L949_); trivial. % 1.11/1.31 (* end of lemma zenon_L950_ *) % 1.11/1.31 assert (zenon_L951_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(hskp12)) -> (~(hskp13)) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> False). % 1.11/1.31 do 0 intro. intros zenon_H65 zenon_H2c5 zenon_H26c zenon_H26e zenon_H276 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H280 zenon_H192 zenon_H191 zenon_H1a4 zenon_H1d zenon_H17 zenon_H2b zenon_H2d zenon_H30 zenon_H34. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.11/1.31 apply (zenon_L21_); trivial. % 1.11/1.31 apply (zenon_L950_); trivial. % 1.11/1.31 (* end of lemma zenon_L951_ *) % 1.11/1.31 assert (zenon_L952_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> (~(c0_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c3_1 (a1644))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658))))))) -> False). % 1.11/1.31 do 0 intro. intros zenon_H15a zenon_H118 zenon_H27b zenon_H132 zenon_H65 zenon_H2c5 zenon_H26c zenon_H26e zenon_H276 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H280 zenon_H192 zenon_H191 zenon_H1a4 zenon_H1d zenon_H2d zenon_H30 zenon_H34 zenon_Hd5 zenon_Hd6 zenon_Hd7 zenon_H259 zenon_He8 zenon_Heb zenon_H117. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H2b | zenon_intro zenon_H114 ]. % 1.11/1.31 apply (zenon_L951_); trivial. % 1.11/1.31 apply (zenon_L340_); trivial. % 1.11/1.31 apply (zenon_L315_); trivial. % 1.11/1.31 (* end of lemma zenon_L952_ *) % 1.11/1.31 assert (zenon_L953_ : ((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> False). % 1.11/1.31 do 0 intro. intros zenon_H2f zenon_H1c6 zenon_H13e zenon_H13d zenon_H13c zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H26c zenon_H26e zenon_H276 zenon_H2ce zenon_H1a4 zenon_H191 zenon_H192. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H20. zenon_intro zenon_H31. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H23. zenon_intro zenon_H32. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H24. zenon_intro zenon_H22. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1c7 ]. % 1.11/1.31 apply (zenon_L947_); trivial. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H21 | zenon_intro zenon_H1c3 ]. % 1.11/1.31 apply (zenon_L17_); trivial. % 1.11/1.31 apply (zenon_L191_); trivial. % 1.11/1.31 (* end of lemma zenon_L953_ *) % 1.11/1.31 assert (zenon_L954_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (~(hskp12)) -> (~(hskp24)) -> ((hskp12)\/((hskp25)\/(hskp24))) -> False). % 1.11/1.31 do 0 intro. intros zenon_H34 zenon_H1c6 zenon_H192 zenon_H191 zenon_H1a4 zenon_H26c zenon_H26e zenon_H276 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H13c zenon_H13d zenon_H13e zenon_H2ce zenon_H17 zenon_H1b zenon_H1d. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 1.11/1.31 apply (zenon_L15_); trivial. % 1.11/1.31 apply (zenon_L953_); trivial. % 1.11/1.31 (* end of lemma zenon_L954_ *) % 1.11/1.31 assert (zenon_L955_ : ((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c0_1 (a1637))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> (~(hskp3)) -> (~(hskp21)) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> (~(hskp12)) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> False). % 1.11/1.31 do 0 intro. intros zenon_H60 zenon_H34 zenon_H1c6 zenon_H26c zenon_H13c zenon_H13d zenon_H13e zenon_H2ce zenon_H107 zenon_H105 zenon_Hb0 zenon_H26e zenon_H276 zenon_H265 zenon_H2bb zenon_H17 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H2c5 zenon_H1ed zenon_H192 zenon_H191 zenon_H1a4 zenon_H5a zenon_H242 zenon_H61. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H20. zenon_intro zenon_H62. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H38. zenon_intro zenon_H63. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H36. zenon_intro zenon_H37. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.11/1.31 apply (zenon_L321_); trivial. % 1.11/1.31 apply (zenon_L715_); trivial. % 1.11/1.31 apply (zenon_L953_); trivial. % 1.11/1.31 (* end of lemma zenon_L955_ *) % 1.11/1.31 assert (zenon_L956_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> (~(hskp3)) -> (~(hskp21)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(hskp12)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> False). % 1.11/1.31 do 0 intro. intros zenon_H65 zenon_H107 zenon_H105 zenon_Hb0 zenon_H265 zenon_H2bb zenon_H2c5 zenon_H1ed zenon_H5a zenon_H242 zenon_H61 zenon_H1d zenon_H17 zenon_H2ce zenon_H13e zenon_H13d zenon_H13c zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H276 zenon_H26e zenon_H26c zenon_H1a4 zenon_H191 zenon_H192 zenon_H1c6 zenon_H34. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.11/1.31 apply (zenon_L954_); trivial. % 1.11/1.31 apply (zenon_L955_); trivial. % 1.11/1.31 (* end of lemma zenon_L956_ *) % 1.11/1.31 assert (zenon_L957_ : ((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> (~(hskp19)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(hskp12)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> False). % 1.11/1.31 do 0 intro. intros zenon_Hc9 zenon_H65 zenon_H61 zenon_H242 zenon_H5a zenon_H1ed zenon_H2c5 zenon_H2bb zenon_H13 zenon_H170 zenon_H1d zenon_H17 zenon_H2ce zenon_H13e zenon_H13d zenon_H13c zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H276 zenon_H26e zenon_H26c zenon_H1a4 zenon_H191 zenon_H192 zenon_H1c6 zenon_H34. % 1.11/1.31 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H20. zenon_intro zenon_Hcb. % 1.11/1.31 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc1. zenon_intro zenon_Hcc. % 1.11/1.31 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc2. zenon_intro zenon_Hc0. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.11/1.31 apply (zenon_L954_); trivial. % 1.11/1.31 apply (zenon_L717_); trivial. % 1.11/1.31 (* end of lemma zenon_L957_ *) % 1.11/1.31 assert (zenon_L958_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> (~(hskp19)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (~(hskp12)) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> False). % 1.11/1.31 do 0 intro. intros zenon_Hce zenon_H13 zenon_H170 zenon_H34 zenon_H1c6 zenon_H192 zenon_H191 zenon_H1a4 zenon_H26c zenon_H26e zenon_H276 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H13c zenon_H13d zenon_H13e zenon_H2ce zenon_H17 zenon_H1d zenon_H61 zenon_H242 zenon_H5a zenon_H1ed zenon_H2c5 zenon_H2bb zenon_H265 zenon_H105 zenon_H107 zenon_H65. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.11/1.31 apply (zenon_L956_); trivial. % 1.11/1.31 apply (zenon_L957_); trivial. % 1.11/1.31 (* end of lemma zenon_L958_ *) % 1.11/1.31 assert (zenon_L959_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> (~(hskp3)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(hskp12)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> False). % 1.11/1.31 do 0 intro. intros zenon_H68 zenon_H2b9 zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_H65 zenon_H107 zenon_H105 zenon_H265 zenon_H2bb zenon_H2c5 zenon_H1ed zenon_H5a zenon_H242 zenon_H61 zenon_H1d zenon_H17 zenon_H2ce zenon_H13e zenon_H13d zenon_H13c zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H276 zenon_H26e zenon_H26c zenon_H1a4 zenon_H191 zenon_H192 zenon_H1c6 zenon_H34 zenon_H170 zenon_Hce. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.11/1.31 apply (zenon_L958_); trivial. % 1.11/1.31 apply (zenon_L704_); trivial. % 1.11/1.31 (* end of lemma zenon_L959_ *) % 1.11/1.31 assert (zenon_L960_ : ((ndr1_0)/\((c0_1 (a1648))/\((c2_1 (a1648))/\(~(c3_1 (a1648)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((hskp15)\/((hskp19)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> False). % 1.11/1.31 do 0 intro. intros zenon_H1a1 zenon_H159 zenon_H1ab zenon_H15 zenon_H5 zenon_Hce zenon_H170 zenon_H1c6 zenon_H2ce zenon_H61 zenon_H242 zenon_H5a zenon_H1ed zenon_H2bb zenon_H265 zenon_H105 zenon_H107 zenon_H2b9 zenon_H68 zenon_H117 zenon_Heb zenon_He8 zenon_H259 zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_H34 zenon_H30 zenon_H1d zenon_H280 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H276 zenon_H26e zenon_H26c zenon_H2c5 zenon_H65 zenon_H132 zenon_H27b zenon_H118 zenon_H15a. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.11/1.31 apply (zenon_L952_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.11/1.31 apply (zenon_L959_); trivial. % 1.11/1.31 apply (zenon_L708_); trivial. % 1.11/1.31 (* end of lemma zenon_L960_ *) % 1.11/1.31 assert (zenon_L961_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> (~(c3_1 (a1642))) -> (c0_1 (a1642)) -> (~(c2_1 (a1642))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> (~(hskp10)) -> (~(hskp11)) -> ((hskp10)\/((hskp18)\/(hskp11))) -> False). % 1.11/1.31 do 0 intro. intros zenon_H136 zenon_H132 zenon_H26c zenon_H26e zenon_H276 zenon_H162 zenon_H163 zenon_H161 zenon_H280 zenon_H189 zenon_H2d zenon_H18b. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H119 | zenon_intro zenon_H131 ]. % 1.11/1.31 apply (zenon_L104_); trivial. % 1.11/1.31 apply (zenon_L327_); trivial. % 1.11/1.31 (* end of lemma zenon_L961_ *) % 1.11/1.31 assert (zenon_L962_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((hskp10)\/((hskp18)\/(hskp11))) -> (~(hskp10)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> False). % 1.11/1.31 do 0 intro. intros zenon_H159 zenon_H1bc zenon_H5 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2ce zenon_H18b zenon_H189 zenon_H280 zenon_H161 zenon_H163 zenon_H162 zenon_H276 zenon_H26e zenon_H26c zenon_H132 zenon_H136. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.11/1.31 apply (zenon_L961_); trivial. % 1.11/1.31 apply (zenon_L948_); trivial. % 1.11/1.31 (* end of lemma zenon_L962_ *) % 1.11/1.31 assert (zenon_L963_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (c3_1 (a1637)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658))))))) -> False). % 1.11/1.31 do 0 intro. intros zenon_H15a zenon_H118 zenon_H27b zenon_H65 zenon_H286 zenon_Hd zenon_H26e zenon_H26c zenon_H276 zenon_H280 zenon_H161 zenon_H163 zenon_H162 zenon_H132 zenon_H1d zenon_H2d zenon_H30 zenon_H34 zenon_H107 zenon_H105 zenon_H2a9 zenon_H3 zenon_Hce zenon_H117. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H2b | zenon_intro zenon_H114 ]. % 1.11/1.31 apply (zenon_L334_); trivial. % 1.11/1.31 apply (zenon_L545_); trivial. % 1.11/1.31 apply (zenon_L315_); trivial. % 1.11/1.31 (* end of lemma zenon_L963_ *) % 1.11/1.31 assert (zenon_L964_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (~(hskp15)) -> (~(hskp1)) -> ((hskp15)\/((hskp19)\/(hskp1))) -> False). % 1.11/1.31 do 0 intro. intros zenon_H68 zenon_H2ce zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H276 zenon_H26e zenon_H26c zenon_H11 zenon_H5 zenon_H15. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.11/1.31 apply (zenon_L11_); trivial. % 1.11/1.31 apply (zenon_L945_); trivial. % 1.11/1.31 (* end of lemma zenon_L964_ *) % 1.11/1.31 assert (zenon_L965_ : ((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> ((hskp15)\/((hskp19)\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> False). % 1.11/1.31 do 0 intro. intros zenon_H15d zenon_H118 zenon_H1ab zenon_H13e zenon_H13d zenon_H13c zenon_H15 zenon_H5 zenon_H26c zenon_H26e zenon_H276 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2ce zenon_H68. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 1.11/1.31 apply (zenon_L964_); trivial. % 1.11/1.31 apply (zenon_L136_); trivial. % 1.11/1.31 (* end of lemma zenon_L965_ *) % 1.11/1.31 assert (zenon_L966_ : ((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((hskp15)\/((hskp19)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> False). % 1.11/1.31 do 0 intro. intros zenon_H155 zenon_H15a zenon_H118 zenon_H1ab zenon_H15 zenon_H5 zenon_Hce zenon_H170 zenon_H34 zenon_H1c6 zenon_H192 zenon_H191 zenon_H1a4 zenon_H26c zenon_H26e zenon_H276 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2ce zenon_H1d zenon_H61 zenon_H242 zenon_H5a zenon_H1ed zenon_H2c5 zenon_H2bb zenon_H265 zenon_H105 zenon_H107 zenon_H65 zenon_H68. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.11/1.31 apply (zenon_L958_); trivial. % 1.11/1.31 apply (zenon_L945_); trivial. % 1.11/1.31 apply (zenon_L965_); trivial. % 1.11/1.31 (* end of lemma zenon_L966_ *) % 1.11/1.31 assert (zenon_L967_ : ((ndr1_0)/\((c0_1 (a1642))/\((~(c2_1 (a1642)))/\(~(c3_1 (a1642)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a1644)))/\((~(c1_1 (a1644)))/\(~(c3_1 (a1644))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((hskp10)\/((hskp18)\/(hskp11))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((hskp15)\/((hskp19)\/(hskp1))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1648))/\((c2_1 (a1648))/\(~(c3_1 (a1648))))))) -> False). % 1.11/1.31 do 0 intro. intros zenon_H29b zenon_H2d2 zenon_H2b9 zenon_Heb zenon_He8 zenon_H259 zenon_H159 zenon_H1bc zenon_H5 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2ce zenon_H18b zenon_H280 zenon_H276 zenon_H26e zenon_H26c zenon_H132 zenon_H136 zenon_H15a zenon_H118 zenon_H27b zenon_H65 zenon_H286 zenon_H1d zenon_H30 zenon_H34 zenon_H107 zenon_H105 zenon_H2a9 zenon_H3 zenon_Hce zenon_H117 zenon_H68 zenon_H265 zenon_H2bb zenon_H2c5 zenon_H1ed zenon_H5a zenon_H242 zenon_H61 zenon_H1c6 zenon_H170 zenon_H15 zenon_H1ab zenon_H224. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H20. zenon_intro zenon_H29d. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H163. zenon_intro zenon_H29e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H161. zenon_intro zenon_H162. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_Hd | zenon_intro zenon_H158 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.11/1.31 apply (zenon_L962_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.11/1.31 apply (zenon_L963_); trivial. % 1.11/1.31 apply (zenon_L966_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H20. zenon_intro zenon_H15b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_Hd5. zenon_intro zenon_H15c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_Hd6. zenon_intro zenon_Hd7. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.11/1.31 apply (zenon_L962_); trivial. % 1.11/1.31 apply (zenon_L960_); trivial. % 1.11/1.31 (* end of lemma zenon_L967_ *) % 1.11/1.31 assert (zenon_L968_ : ((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> (~(hskp3)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> (~(hskp7)) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> False). % 1.11/1.31 do 0 intro. intros zenon_H114 zenon_H68 zenon_H2ce zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H276 zenon_H26e zenon_H26c zenon_H107 zenon_H105 zenon_H170 zenon_H9 zenon_H2d zenon_H172 zenon_H61 zenon_Hce. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H20. zenon_intro zenon_H115. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_Hfd. zenon_intro zenon_H116. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hfe. zenon_intro zenon_Hfc. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.11/1.31 apply (zenon_L567_); trivial. % 1.11/1.31 apply (zenon_L945_); trivial. % 1.11/1.31 (* end of lemma zenon_L968_ *) % 1.11/1.31 assert (zenon_L969_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp11))) -> (~(hskp11)) -> (~(hskp7)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658))))))) -> False). % 1.11/1.31 do 0 intro. intros zenon_H15a zenon_H118 zenon_H280 zenon_H27b zenon_H132 zenon_H68 zenon_H2ce zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H276 zenon_H26e zenon_H26c zenon_Hce zenon_H61 zenon_H172 zenon_H2d zenon_H9 zenon_H95 zenon_Hb2 zenon_H170 zenon_Hcf zenon_Hd0 zenon_H34 zenon_H30 zenon_H1d zenon_H5a zenon_H17b zenon_H17a zenon_H179 zenon_He8 zenon_Heb zenon_H65 zenon_Hf2 zenon_H105 zenon_H107 zenon_H117. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H2b | zenon_intro zenon_H114 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.11/1.31 apply (zenon_L98_); trivial. % 1.11/1.31 apply (zenon_L945_); trivial. % 1.11/1.31 apply (zenon_L968_); trivial. % 1.11/1.31 apply (zenon_L315_); trivial. % 1.11/1.31 (* end of lemma zenon_L969_ *) % 1.11/1.31 assert (zenon_L970_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp11))) -> (~(hskp7)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658))))))) -> False). % 1.11/1.31 do 0 intro. intros zenon_H15a zenon_H118 zenon_H27b zenon_H132 zenon_H65 zenon_H2c5 zenon_H26c zenon_H26e zenon_H276 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H280 zenon_H192 zenon_H191 zenon_H1a4 zenon_H1d zenon_H2d zenon_H30 zenon_H34 zenon_Hce zenon_H61 zenon_H172 zenon_H9 zenon_H170 zenon_H105 zenon_H107 zenon_H2ce zenon_H68 zenon_H117. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H2b | zenon_intro zenon_H114 ]. % 1.11/1.31 apply (zenon_L951_); trivial. % 1.11/1.31 apply (zenon_L968_); trivial. % 1.11/1.31 apply (zenon_L315_); trivial. % 1.11/1.31 (* end of lemma zenon_L970_ *) % 1.11/1.31 assert (zenon_L971_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1648))/\((c2_1 (a1648))/\(~(c3_1 (a1648))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((hskp15)\/((hskp19)\/(hskp1))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp11))) -> (~(hskp7)) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658))))))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp10)\/(hskp1))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> False). % 1.11/1.31 do 0 intro. intros zenon_H224 zenon_H1ab zenon_H15 zenon_H1c6 zenon_H242 zenon_H1ed zenon_H2bb zenon_H265 zenon_H2c5 zenon_H15a zenon_H118 zenon_H280 zenon_H27b zenon_H132 zenon_H68 zenon_H2ce zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H276 zenon_H26e zenon_H26c zenon_Hce zenon_H61 zenon_H172 zenon_H9 zenon_H95 zenon_Hb2 zenon_H170 zenon_Hcf zenon_Hd0 zenon_H34 zenon_H30 zenon_H1d zenon_H5a zenon_H17b zenon_H17a zenon_H179 zenon_He8 zenon_Heb zenon_H65 zenon_Hf2 zenon_H105 zenon_H107 zenon_H117 zenon_H5 zenon_H1bc zenon_H159. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.11/1.31 apply (zenon_L969_); trivial. % 1.11/1.31 apply (zenon_L948_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.11/1.31 apply (zenon_L970_); trivial. % 1.11/1.31 apply (zenon_L966_); trivial. % 1.11/1.31 (* end of lemma zenon_L971_ *) % 1.11/1.31 assert (zenon_L972_ : ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a1701)) -> (~(c1_1 (a1701))) -> (~(c0_1 (a1701))) -> (~(hskp19)) -> (~(hskp28)) -> (~(c1_1 (a1667))) -> (c2_1 (a1667)) -> (c0_1 (a1667)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (ndr1_0) -> (~(hskp11)) -> False). % 1.11/1.31 do 0 intro. intros zenon_H2c5 zenon_H38 zenon_H37 zenon_H36 zenon_H13 zenon_H3f zenon_H78 zenon_H7a zenon_H79 zenon_H170 zenon_H280 zenon_H276 zenon_H26e zenon_H26c zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H20 zenon_H2d. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H35 | zenon_intro zenon_H2c6 ]. % 1.11/1.31 apply (zenon_L22_); trivial. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H244 ]. % 1.11/1.31 apply (zenon_L801_); trivial. % 1.11/1.31 apply (zenon_L949_); trivial. % 1.11/1.31 (* end of lemma zenon_L972_ *) % 1.11/1.31 assert (zenon_L973_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> (~(hskp11)) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> (ndr1_0) -> (~(c0_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c3_1 (a1644))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658))))))) -> False). % 1.11/1.31 do 0 intro. intros zenon_H15a zenon_H118 zenon_H27b zenon_H132 zenon_Hf0 zenon_H68 zenon_H2ce zenon_H34 zenon_H30 zenon_H2d zenon_H1d zenon_H2c5 zenon_H26c zenon_H26e zenon_H276 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H280 zenon_H170 zenon_H2bb zenon_H5a zenon_H1ed zenon_H242 zenon_H61 zenon_H65 zenon_H20 zenon_Hd5 zenon_Hd6 zenon_Hd7 zenon_H1d1 zenon_H189 zenon_H84 zenon_H83 zenon_H82 zenon_He8 zenon_Heb zenon_H259 zenon_H117. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H2b | zenon_intro zenon_H114 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 1.11/1.31 apply (zenon_L221_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_H20. zenon_intro zenon_Hf6. % 1.11/1.31 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H79. zenon_intro zenon_Hf7. % 1.11/1.31 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H7a. zenon_intro zenon_H78. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.11/1.31 apply (zenon_L21_); trivial. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H20. zenon_intro zenon_H62. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H38. zenon_intro zenon_H63. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H36. zenon_intro zenon_H37. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.11/1.31 apply (zenon_L972_); trivial. % 1.11/1.31 apply (zenon_L793_); trivial. % 1.11/1.31 apply (zenon_L945_); trivial. % 1.11/1.31 apply (zenon_L340_); trivial. % 1.11/1.31 apply (zenon_L315_); trivial. % 1.11/1.31 (* end of lemma zenon_L973_ *) % 1.11/1.31 assert (zenon_L974_ : ((ndr1_0)/\((~(c0_1 (a1644)))/\((~(c1_1 (a1644)))/\(~(c3_1 (a1644)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1648))/\((c2_1 (a1648))/\(~(c3_1 (a1648))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((hskp15)\/((hskp19)\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658))))))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp10)\/(hskp1))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> False). % 1.11/1.31 do 0 intro. intros zenon_H158 zenon_H224 zenon_H1ab zenon_H15 zenon_Hce zenon_H1c6 zenon_H265 zenon_H105 zenon_H107 zenon_H2b9 zenon_H15a zenon_H118 zenon_H27b zenon_H132 zenon_Hf0 zenon_H68 zenon_H2ce zenon_H34 zenon_H30 zenon_H1d zenon_H2c5 zenon_H26c zenon_H26e zenon_H276 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H280 zenon_H170 zenon_H2bb zenon_H5a zenon_H1ed zenon_H242 zenon_H61 zenon_H65 zenon_H1d1 zenon_H84 zenon_H83 zenon_H82 zenon_He8 zenon_Heb zenon_H259 zenon_H117 zenon_H5 zenon_H1bc zenon_H159. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H20. zenon_intro zenon_H15b. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_Hd5. zenon_intro zenon_H15c. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_Hd6. zenon_intro zenon_Hd7. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.11/1.31 apply (zenon_L973_); trivial. % 1.11/1.31 apply (zenon_L948_); trivial. % 1.11/1.31 apply (zenon_L960_); trivial. % 1.11/1.31 (* end of lemma zenon_L974_ *) % 1.11/1.31 assert (zenon_L975_ : ((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> ((hskp19)\/((hskp21)\/(hskp6))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> False). % 1.11/1.31 do 0 intro. intros zenon_Hf8 zenon_H68 zenon_H2ce zenon_H276 zenon_H26e zenon_H26c zenon_H16e zenon_Hb zenon_H24f zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H161 zenon_H163 zenon_H162 zenon_Hca zenon_Hce. % 1.11/1.31 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_H20. zenon_intro zenon_Hf9. % 1.11/1.31 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H9a. zenon_intro zenon_Hfa. % 1.11/1.31 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_H98. zenon_intro zenon_H99. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.11/1.31 apply (zenon_L734_); trivial. % 1.11/1.31 apply (zenon_L945_); trivial. % 1.11/1.31 (* end of lemma zenon_L975_ *) % 1.11/1.31 assert (zenon_L976_ : ((ndr1_0)/\((c0_1 (a1642))/\((~(c2_1 (a1642)))/\(~(c3_1 (a1642)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (~(hskp6)) -> ((hskp19)\/((hskp21)\/(hskp6))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> False). % 1.11/1.31 do 0 intro. intros zenon_H29b zenon_Hf1 zenon_Hce zenon_Hca zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H24f zenon_H82 zenon_H83 zenon_H84 zenon_H8d zenon_Hb zenon_H16e zenon_H26c zenon_H26e zenon_H276 zenon_H2ce zenon_H68. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H20. zenon_intro zenon_H29d. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H163. zenon_intro zenon_H29e. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H161. zenon_intro zenon_H162. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.11/1.31 apply (zenon_L764_); trivial. % 1.11/1.31 apply (zenon_L945_); trivial. % 1.11/1.31 apply (zenon_L975_); trivial. % 1.11/1.31 (* end of lemma zenon_L976_ *) % 1.11/1.31 assert (zenon_L977_ : ((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(hskp11)) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> (~(c3_1 (a1642))) -> (c0_1 (a1642)) -> (~(c2_1 (a1642))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (~(hskp17)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> False). % 1.11/1.31 do 0 intro. intros zenon_Hc9 zenon_Hca zenon_H2d zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H26c zenon_H26e zenon_H276 zenon_H280 zenon_H162 zenon_H163 zenon_H161 zenon_H8d zenon_H84 zenon_H83 zenon_H82 zenon_H8b zenon_H24f. % 1.11/1.31 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H20. zenon_intro zenon_Hcb. % 1.11/1.31 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc1. zenon_intro zenon_Hcc. % 1.11/1.31 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc2. zenon_intro zenon_Hc0. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H97 | zenon_intro zenon_Hcd ]. % 1.11/1.31 apply (zenon_L167_); trivial. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H69 | zenon_intro zenon_Ha2 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H97 | zenon_intro zenon_H250 ]. % 1.11/1.31 apply (zenon_L167_); trivial. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H127 | zenon_intro zenon_H244 ]. % 1.11/1.31 apply (zenon_L150_); trivial. % 1.11/1.31 apply (zenon_L949_); trivial. % 1.11/1.31 apply (zenon_L49_); trivial. % 1.11/1.31 (* end of lemma zenon_L977_ *) % 1.11/1.31 assert (zenon_L978_ : ((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> (~(hskp3)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (~(hskp11)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> False). % 1.11/1.31 do 0 intro. intros zenon_H114 zenon_Hf1 zenon_H107 zenon_H105 zenon_H8d zenon_H84 zenon_H83 zenon_H82 zenon_H24f zenon_H26c zenon_H26e zenon_H276 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2d zenon_H280 zenon_H161 zenon_H163 zenon_H162 zenon_Hca zenon_Hce. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H20. zenon_intro zenon_H115. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_Hfd. zenon_intro zenon_H116. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hfe. zenon_intro zenon_Hfc. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.11/1.31 apply (zenon_L59_); trivial. % 1.11/1.31 apply (zenon_L977_); trivial. % 1.11/1.31 apply (zenon_L797_); trivial. % 1.11/1.31 (* end of lemma zenon_L978_ *) % 1.11/1.31 assert (zenon_L979_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (c3_1 (a1637)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658))))))) -> False). % 1.11/1.31 do 0 intro. intros zenon_H15a zenon_H118 zenon_H27b zenon_H65 zenon_H286 zenon_Hd zenon_H26e zenon_H26c zenon_H276 zenon_H280 zenon_H161 zenon_H163 zenon_H162 zenon_H132 zenon_H1d zenon_H2d zenon_H30 zenon_H34 zenon_Hce zenon_Hca zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H24f zenon_H82 zenon_H83 zenon_H84 zenon_H8d zenon_H105 zenon_H107 zenon_Hf1 zenon_H117. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H2b | zenon_intro zenon_H114 ]. % 1.11/1.31 apply (zenon_L334_); trivial. % 1.11/1.31 apply (zenon_L978_); trivial. % 1.11/1.31 apply (zenon_L315_); trivial. % 1.11/1.31 (* end of lemma zenon_L979_ *) % 1.11/1.31 assert (zenon_L980_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(c3_1 (a1642))) -> (c0_1 (a1642)) -> (~(c2_1 (a1642))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658))))))) -> False). % 1.11/1.31 do 0 intro. intros zenon_H15a zenon_H118 zenon_H27b zenon_H132 zenon_H65 zenon_H2c5 zenon_H26c zenon_H26e zenon_H276 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H280 zenon_H192 zenon_H191 zenon_H1a4 zenon_H1d zenon_H2d zenon_H30 zenon_H34 zenon_Hce zenon_Hca zenon_H162 zenon_H163 zenon_H161 zenon_H24f zenon_H82 zenon_H83 zenon_H84 zenon_H8d zenon_H105 zenon_H107 zenon_Hf1 zenon_H117. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H2b | zenon_intro zenon_H114 ]. % 1.11/1.31 apply (zenon_L951_); trivial. % 1.11/1.31 apply (zenon_L978_); trivial. % 1.11/1.31 apply (zenon_L315_); trivial. % 1.11/1.31 (* end of lemma zenon_L980_ *) % 1.11/1.31 assert (zenon_L981_ : ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp3))) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> (ndr1_0) -> (~(c1_1 (a1634))) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (~(hskp3)) -> False). % 1.11/1.31 do 0 intro. intros zenon_H150 zenon_H161 zenon_H163 zenon_H162 zenon_H20 zenon_H2b0 zenon_H244 zenon_H2b1 zenon_H2b2 zenon_H13c zenon_H13d zenon_H13e zenon_H1ab zenon_H105. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H13b | zenon_intro zenon_H153 ]. % 1.11/1.31 apply (zenon_L74_); trivial. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_H145 | zenon_intro zenon_H106 ]. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H13b | zenon_intro zenon_H1ac ]. % 1.11/1.31 apply (zenon_L74_); trivial. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H69 | zenon_intro zenon_H127 ]. % 1.11/1.31 apply (zenon_L721_); trivial. % 1.11/1.31 apply (zenon_L148_); trivial. % 1.11/1.31 exact (zenon_H105 zenon_H106). % 1.11/1.31 (* end of lemma zenon_L981_ *) % 1.11/1.31 assert (zenon_L982_ : ((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp3))) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (~(hskp3)) -> False). % 1.11/1.31 do 0 intro. intros zenon_H60 zenon_H2c5 zenon_H192 zenon_H191 zenon_H1a4 zenon_H150 zenon_H161 zenon_H163 zenon_H162 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H13c zenon_H13d zenon_H13e zenon_H1ab zenon_H105. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H20. zenon_intro zenon_H62. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H38. zenon_intro zenon_H63. % 1.11/1.31 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H36. zenon_intro zenon_H37. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H35 | zenon_intro zenon_H2c6 ]. % 1.11/1.31 apply (zenon_L22_); trivial. % 1.11/1.31 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H244 ]. % 1.11/1.31 apply (zenon_L191_); trivial. % 1.11/1.31 apply (zenon_L981_); trivial. % 1.11/1.31 (* end of lemma zenon_L982_ *) % 1.11/1.31 assert (zenon_L983_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> (~(hskp3)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp3))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(hskp12)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> False). % 1.11/1.32 do 0 intro. intros zenon_H65 zenon_H2c5 zenon_H1ab zenon_H161 zenon_H163 zenon_H162 zenon_H105 zenon_H150 zenon_H1d zenon_H17 zenon_H2ce zenon_H13e zenon_H13d zenon_H13c zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H276 zenon_H26e zenon_H26c zenon_H1a4 zenon_H191 zenon_H192 zenon_H1c6 zenon_H34. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.11/1.32 apply (zenon_L954_); trivial. % 1.11/1.32 apply (zenon_L982_); trivial. % 1.11/1.32 (* end of lemma zenon_L983_ *) % 1.11/1.32 assert (zenon_L984_ : ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (ndr1_0) -> (forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15)))))) -> (~(hskp11)) -> False). % 1.11/1.32 do 0 intro. intros zenon_H280 zenon_H276 zenon_H26e zenon_H26c zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H20 zenon_H35 zenon_H2d. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H251 | zenon_intro zenon_H281 ]. % 1.11/1.32 apply (zenon_L313_); trivial. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H69 | zenon_intro zenon_H2e ]. % 1.11/1.32 apply (zenon_L168_); trivial. % 1.11/1.32 exact (zenon_H2d zenon_H2e). % 1.11/1.32 (* end of lemma zenon_L984_ *) % 1.11/1.32 assert (zenon_L985_ : ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c1_1 (a1646)) -> (c2_1 (a1646)) -> (c0_1 (a1647)) -> (c1_1 (a1647)) -> (c3_1 (a1647)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))) -> (ndr1_0) -> False). % 1.11/1.32 do 0 intro. intros zenon_H5a zenon_H4e zenon_H4f zenon_H236 zenon_H237 zenon_H238 zenon_H1ed zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H69 zenon_H20. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H35 | zenon_intro zenon_H21 ]. % 1.11/1.32 apply (zenon_L168_); trivial. % 1.11/1.32 apply (zenon_L498_); trivial. % 1.11/1.32 (* end of lemma zenon_L985_ *) % 1.11/1.32 assert (zenon_L986_ : ((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (~(hskp12)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> False). % 1.11/1.32 do 0 intro. intros zenon_H59 zenon_H242 zenon_H280 zenon_H2d zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1ed zenon_H5a zenon_H276 zenon_H26e zenon_H26c zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H17 zenon_H2bb. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 1.11/1.32 apply (zenon_L706_); trivial. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H20. zenon_intro zenon_H240. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H236. zenon_intro zenon_H241. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H237. zenon_intro zenon_H238. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H251 | zenon_intro zenon_H281 ]. % 1.11/1.32 apply (zenon_L313_); trivial. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H69 | zenon_intro zenon_H2e ]. % 1.11/1.32 apply (zenon_L985_); trivial. % 1.11/1.32 exact (zenon_H2d zenon_H2e). % 1.11/1.32 (* end of lemma zenon_L986_ *) % 1.11/1.32 assert (zenon_L987_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (ndr1_0) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> False). % 1.11/1.32 do 0 intro. intros zenon_H15a zenon_H118 zenon_H27b zenon_H132 zenon_H1d1 zenon_H189 zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H20 zenon_H61 zenon_H242 zenon_H1ed zenon_H5a zenon_H2bb zenon_H280 zenon_H2d zenon_H276 zenon_H26e zenon_H26c zenon_H170 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H2c5 zenon_H2ce zenon_H68 zenon_Hf0. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 1.11/1.32 apply (zenon_L159_); trivial. % 1.11/1.32 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_H20. zenon_intro zenon_Hf6. % 1.11/1.32 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H79. zenon_intro zenon_Hf7. % 1.11/1.32 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H7a. zenon_intro zenon_H78. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H35 | zenon_intro zenon_H2c6 ]. % 1.11/1.32 apply (zenon_L984_); trivial. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H244 ]. % 1.11/1.32 apply (zenon_L801_); trivial. % 1.11/1.32 apply (zenon_L949_); trivial. % 1.11/1.32 apply (zenon_L986_); trivial. % 1.11/1.32 apply (zenon_L945_); trivial. % 1.11/1.32 apply (zenon_L315_); trivial. % 1.11/1.32 (* end of lemma zenon_L987_ *) % 1.11/1.32 assert (zenon_L988_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> (ndr1_0) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> (~(hskp10)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> False). % 1.11/1.32 do 0 intro. intros zenon_H159 zenon_H1bc zenon_H5 zenon_Hf0 zenon_H68 zenon_H2ce zenon_H2c5 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H170 zenon_H26c zenon_H26e zenon_H276 zenon_H280 zenon_H2bb zenon_H5a zenon_H1ed zenon_H242 zenon_H61 zenon_H20 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H189 zenon_H1d1 zenon_H132 zenon_H27b zenon_H118 zenon_H15a. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.11/1.32 apply (zenon_L987_); trivial. % 1.11/1.32 apply (zenon_L948_); trivial. % 1.11/1.32 (* end of lemma zenon_L988_ *) % 1.11/1.32 assert (zenon_L989_ : ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (ndr1_0) -> (~(hskp11)) -> False). % 1.11/1.32 do 0 intro. intros zenon_H2c5 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H192 zenon_H191 zenon_H1a4 zenon_H280 zenon_H276 zenon_H26e zenon_H26c zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H20 zenon_H2d. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H35 | zenon_intro zenon_H2c6 ]. % 1.11/1.32 apply (zenon_L984_); trivial. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H244 ]. % 1.11/1.32 apply (zenon_L191_); trivial. % 1.11/1.32 apply (zenon_L949_); trivial. % 1.11/1.32 (* end of lemma zenon_L989_ *) % 1.11/1.32 assert (zenon_L990_ : ((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp3))) -> (~(hskp3)) -> (~(c3_1 (a1642))) -> (c0_1 (a1642)) -> (~(c2_1 (a1642))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> False). % 1.11/1.32 do 0 intro. intros zenon_H155 zenon_H15a zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H34 zenon_H1c6 zenon_H192 zenon_H191 zenon_H1a4 zenon_H26c zenon_H26e zenon_H276 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2ce zenon_H1d zenon_H150 zenon_H105 zenon_H162 zenon_H163 zenon_H161 zenon_H1ab zenon_H2c5 zenon_H65. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.11/1.32 apply (zenon_L983_); trivial. % 1.11/1.32 apply (zenon_L819_); trivial. % 1.11/1.32 (* end of lemma zenon_L990_ *) % 1.11/1.32 assert (zenon_L991_ : ((ndr1_0)/\((c0_1 (a1642))/\((~(c2_1 (a1642)))/\(~(c3_1 (a1642)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1648))/\((c2_1 (a1648))/\(~(c3_1 (a1648))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp3))) -> (~(hskp3)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp10)\/(hskp1))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> False). % 1.11/1.32 do 0 intro. intros zenon_H29b zenon_H224 zenon_H34 zenon_H1c6 zenon_H1d zenon_H150 zenon_H105 zenon_H1ab zenon_H65 zenon_H15a zenon_H118 zenon_H27b zenon_H132 zenon_H1d1 zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H61 zenon_H242 zenon_H1ed zenon_H5a zenon_H2bb zenon_H280 zenon_H276 zenon_H26e zenon_H26c zenon_H170 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H2c5 zenon_H2ce zenon_H68 zenon_Hf0 zenon_H5 zenon_H1bc zenon_H159. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H20. zenon_intro zenon_H29d. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H163. zenon_intro zenon_H29e. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H161. zenon_intro zenon_H162. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.11/1.32 apply (zenon_L988_); trivial. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.11/1.32 apply (zenon_L989_); trivial. % 1.11/1.32 apply (zenon_L990_); trivial. % 1.11/1.32 (* end of lemma zenon_L991_ *) % 1.11/1.32 assert (zenon_L992_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> (~(hskp5)) -> ((hskp12)\/((hskp5)\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> (~(hskp3)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(hskp12)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> False). % 1.11/1.32 do 0 intro. intros zenon_H68 zenon_H2b9 zenon_H179 zenon_H17a zenon_H17b zenon_H3 zenon_H2a0 zenon_H65 zenon_H107 zenon_H105 zenon_H265 zenon_H2bb zenon_H2c5 zenon_H1ed zenon_H5a zenon_H242 zenon_H61 zenon_H1d zenon_H17 zenon_H2ce zenon_H13e zenon_H13d zenon_H13c zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H276 zenon_H26e zenon_H26c zenon_H1a4 zenon_H191 zenon_H192 zenon_H1c6 zenon_H34 zenon_H170 zenon_Hce. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.11/1.32 apply (zenon_L958_); trivial. % 1.11/1.32 apply (zenon_L751_); trivial. % 1.11/1.32 (* end of lemma zenon_L992_ *) % 1.11/1.32 assert (zenon_L993_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((hskp7)\/(hskp8))) -> (~(hskp8)) -> (~(hskp7)) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658))))))) -> False). % 1.11/1.32 do 0 intro. intros zenon_H15a zenon_H118 zenon_H27b zenon_H132 zenon_H65 zenon_H2c5 zenon_H26c zenon_H26e zenon_H276 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H280 zenon_H192 zenon_H191 zenon_H1a4 zenon_H1d zenon_H2d zenon_H30 zenon_H34 zenon_Hce zenon_H18f zenon_H18d zenon_H9 zenon_H82 zenon_H83 zenon_H84 zenon_H8d zenon_H105 zenon_H107 zenon_Hf1 zenon_H117. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H2b | zenon_intro zenon_H114 ]. % 1.11/1.32 apply (zenon_L951_); trivial. % 1.11/1.32 apply (zenon_L549_); trivial. % 1.11/1.32 apply (zenon_L315_); trivial. % 1.11/1.32 (* end of lemma zenon_L993_ *) % 1.11/1.32 assert (zenon_L994_ : ((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((hskp7)\/(hskp8))) -> (~(hskp8)) -> (~(hskp7)) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> (~(hskp3)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(hskp12)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> False). % 1.11/1.32 do 0 intro. intros zenon_Hef zenon_Hf1 zenon_H18f zenon_H18d zenon_H9 zenon_H65 zenon_H107 zenon_H105 zenon_H265 zenon_H2bb zenon_H2c5 zenon_H1ed zenon_H5a zenon_H242 zenon_H61 zenon_H1d zenon_H17 zenon_H2ce zenon_H13e zenon_H13d zenon_H13c zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H276 zenon_H26e zenon_H26c zenon_H1a4 zenon_H191 zenon_H192 zenon_H1c6 zenon_H34 zenon_H8d zenon_H84 zenon_H83 zenon_H82 zenon_Hca zenon_Hce. % 1.11/1.32 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H20. zenon_intro zenon_Hf3. % 1.11/1.32 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H6c. zenon_intro zenon_Hf4. % 1.11/1.32 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H6a. zenon_intro zenon_H6b. % 1.11/1.32 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.11/1.32 apply (zenon_L956_); trivial. % 1.11/1.32 apply (zenon_L180_); trivial. % 1.11/1.32 apply (zenon_L107_); trivial. % 1.11/1.32 (* end of lemma zenon_L994_ *) % 1.11/1.32 assert (zenon_L995_ : ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))) -> (~(c1_1 (a1634))) -> (ndr1_0) -> (~(c3_1 (a1643))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> False). % 1.11/1.32 do 0 intro. intros zenon_H1ab zenon_H13e zenon_H13d zenon_H13c zenon_H2b2 zenon_H2b1 zenon_H244 zenon_H2b0 zenon_H20 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1b0. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H13b | zenon_intro zenon_H1ac ]. % 1.11/1.32 apply (zenon_L74_); trivial. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H69 | zenon_intro zenon_H127 ]. % 1.11/1.32 apply (zenon_L721_); trivial. % 1.11/1.32 apply (zenon_L125_); trivial. % 1.11/1.32 (* end of lemma zenon_L995_ *) % 1.11/1.32 assert (zenon_L996_ : ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (ndr1_0) -> (~(c3_1 (a1643))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> False). % 1.11/1.32 do 0 intro. intros zenon_H2c5 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H192 zenon_H191 zenon_H1a4 zenon_H1ab zenon_H13e zenon_H13d zenon_H13c zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H20 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1b0. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H35 | zenon_intro zenon_H2c6 ]. % 1.11/1.32 apply (zenon_L206_); trivial. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H244 ]. % 1.11/1.32 apply (zenon_L191_); trivial. % 1.11/1.32 apply (zenon_L995_); trivial. % 1.11/1.32 (* end of lemma zenon_L996_ *) % 1.11/1.32 assert (zenon_L997_ : ((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c1_1 (a1643)) -> (~(c2_1 (a1643))) -> (~(c3_1 (a1643))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> False). % 1.11/1.32 do 0 intro. intros zenon_H2f zenon_H1c6 zenon_H1b0 zenon_H1af zenon_H1ad zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H13c zenon_H13d zenon_H13e zenon_H1ab zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H2c5 zenon_H1a4 zenon_H191 zenon_H192. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H20. zenon_intro zenon_H31. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H23. zenon_intro zenon_H32. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H24. zenon_intro zenon_H22. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1c7 ]. % 1.11/1.32 apply (zenon_L996_); trivial. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H21 | zenon_intro zenon_H1c3 ]. % 1.11/1.32 apply (zenon_L17_); trivial. % 1.11/1.32 apply (zenon_L191_); trivial. % 1.11/1.32 (* end of lemma zenon_L997_ *) % 1.11/1.32 assert (zenon_L998_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c1_1 (a1643)) -> (~(c2_1 (a1643))) -> (~(c3_1 (a1643))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(hskp12)) -> (~(hskp24)) -> ((hskp12)\/((hskp25)\/(hskp24))) -> False). % 1.11/1.32 do 0 intro. intros zenon_H34 zenon_H1c6 zenon_H1ab zenon_H1b0 zenon_H1af zenon_H1ad zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H13e zenon_H13d zenon_H13c zenon_H1a4 zenon_H191 zenon_H192 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H2c5 zenon_H17 zenon_H1b zenon_H1d. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 1.11/1.32 apply (zenon_L15_); trivial. % 1.11/1.32 apply (zenon_L997_); trivial. % 1.11/1.32 (* end of lemma zenon_L998_ *) % 1.11/1.32 assert (zenon_L999_ : ((ndr1_0)/\((c1_1 (a1643))/\((~(c2_1 (a1643)))/\(~(c3_1 (a1643)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1648))/\((c2_1 (a1648))/\(~(c3_1 (a1648))))))) -> ((hskp15)\/((hskp19)\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp10)\/(hskp1))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> False). % 1.11/1.32 do 0 intro. intros zenon_H223 zenon_H224 zenon_H15 zenon_Hce zenon_H34 zenon_H1c6 zenon_H1ab zenon_H1d zenon_H265 zenon_H105 zenon_H107 zenon_H65 zenon_H15a zenon_H118 zenon_H27b zenon_H132 zenon_H1d1 zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H61 zenon_H242 zenon_H1ed zenon_H5a zenon_H2bb zenon_H280 zenon_H276 zenon_H26e zenon_H26c zenon_H170 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H2c5 zenon_H2ce zenon_H68 zenon_Hf0 zenon_H5 zenon_H1bc zenon_H159. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H20. zenon_intro zenon_H225. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H1b0. zenon_intro zenon_H226. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_H1af. zenon_intro zenon_H1ad. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.11/1.32 apply (zenon_L988_); trivial. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.11/1.32 apply (zenon_L989_); trivial. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.11/1.32 apply (zenon_L998_); trivial. % 1.11/1.32 apply (zenon_L955_); trivial. % 1.11/1.32 apply (zenon_L957_); trivial. % 1.11/1.32 apply (zenon_L945_); trivial. % 1.11/1.32 apply (zenon_L965_); trivial. % 1.11/1.32 (* end of lemma zenon_L999_ *) % 1.11/1.32 assert (zenon_L1000_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> ((hskp19)\/((hskp21)\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> (~(hskp12)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> False). % 1.11/1.32 do 0 intro. intros zenon_H68 zenon_H2ce zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H276 zenon_H26e zenon_H26c zenon_H16e zenon_Hb zenon_H227 zenon_H228 zenon_H229 zenon_H17 zenon_H112 zenon_Hce. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.11/1.32 apply (zenon_L668_); trivial. % 1.11/1.32 apply (zenon_L945_); trivial. % 1.11/1.32 (* end of lemma zenon_L1000_ *) % 1.11/1.32 assert (zenon_L1001_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((hskp10)\/(hskp1))) -> (~(hskp1)) -> (~(hskp10)) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (ndr1_0) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> False). % 1.11/1.32 do 0 intro. intros zenon_H159 zenon_H1bc zenon_H5 zenon_H189 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2ce zenon_H20 zenon_H227 zenon_H228 zenon_H229 zenon_H26c zenon_H26e zenon_H276 zenon_H259. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.11/1.32 apply (zenon_L345_); trivial. % 1.11/1.32 apply (zenon_L948_); trivial. % 1.11/1.32 (* end of lemma zenon_L1001_ *) % 1.11/1.32 assert (zenon_L1002_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(hskp22)) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> (~(c3_1 (a1648))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (~(hskp24)) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (ndr1_0) -> (~(c1_1 (a1691))) -> (c2_1 (a1691)) -> (c3_1 (a1691)) -> (~(hskp19)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> False). % 1.11/1.32 do 0 intro. intros zenon_H61 zenon_H242 zenon_Heb zenon_He8 zenon_H1ed zenon_H84 zenon_H83 zenon_H82 zenon_H211 zenon_H20f zenon_H13e zenon_H13d zenon_H13c zenon_H179 zenon_H17a zenon_H17b zenon_H1a4 zenon_H1c6 zenon_H227 zenon_H228 zenon_H229 zenon_H233 zenon_H1b zenon_H192 zenon_H191 zenon_H232 zenon_H20 zenon_Hc0 zenon_Hc1 zenon_Hc2 zenon_H13 zenon_H170. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.11/1.32 apply (zenon_L91_); trivial. % 1.11/1.32 apply (zenon_L456_); trivial. % 1.11/1.32 (* end of lemma zenon_L1002_ *) % 1.11/1.32 assert (zenon_L1003_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a1691)) -> (c2_1 (a1691)) -> (~(c1_1 (a1691))) -> (ndr1_0) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c3_1 (a1648))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (~(hskp22)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> False). % 1.11/1.32 do 0 intro. intros zenon_H65 zenon_H2c5 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H5a zenon_H170 zenon_H13 zenon_Hc2 zenon_Hc1 zenon_Hc0 zenon_H20 zenon_H232 zenon_H191 zenon_H192 zenon_H233 zenon_H229 zenon_H228 zenon_H227 zenon_H1c6 zenon_H1a4 zenon_H17b zenon_H17a zenon_H179 zenon_H13c zenon_H13d zenon_H13e zenon_H20f zenon_H211 zenon_H82 zenon_H83 zenon_H84 zenon_H1ed zenon_He8 zenon_Heb zenon_H242 zenon_H61. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.11/1.32 apply (zenon_L1002_); trivial. % 1.11/1.32 apply (zenon_L858_); trivial. % 1.11/1.32 (* end of lemma zenon_L1003_ *) % 1.11/1.32 assert (zenon_L1004_ : (forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28)))))) -> (ndr1_0) -> (~(c0_1 (a1701))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a1701))) -> (c3_1 (a1701)) -> False). % 1.11/1.32 do 0 intro. intros zenon_H275 zenon_H20 zenon_H36 zenon_H288 zenon_H37 zenon_H38. % 1.11/1.32 generalize (zenon_H275 (a1701)). zenon_intro zenon_H2d3. % 1.11/1.32 apply (zenon_imply_s _ _ zenon_H2d3); [ zenon_intro zenon_H1f | zenon_intro zenon_H2d4 ]. % 1.11/1.32 exact (zenon_H1f zenon_H20). % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H3c | zenon_intro zenon_H2d5 ]. % 1.11/1.32 exact (zenon_H36 zenon_H3c). % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H3d ]. % 1.11/1.32 generalize (zenon_H288 (a1701)). zenon_intro zenon_H2d7. % 1.11/1.32 apply (zenon_imply_s _ _ zenon_H2d7); [ zenon_intro zenon_H1f | zenon_intro zenon_H2d8 ]. % 1.11/1.32 exact (zenon_H1f zenon_H20). % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H3c | zenon_intro zenon_H2d9 ]. % 1.11/1.32 exact (zenon_H36 zenon_H3c). % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H3e | zenon_intro zenon_H2da ]. % 1.11/1.32 exact (zenon_H37 zenon_H3e). % 1.11/1.32 exact (zenon_H2d6 zenon_H2da). % 1.11/1.32 exact (zenon_H3d zenon_H38). % 1.11/1.32 (* end of lemma zenon_L1004_ *) % 1.11/1.32 assert (zenon_L1005_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (c1_1 (a1643)) -> (~(c2_1 (a1643))) -> (~(c3_1 (a1643))) -> (~(c1_1 (a1634))) -> (forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (ndr1_0) -> (~(c0_1 (a1701))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a1701))) -> (c3_1 (a1701)) -> False). % 1.11/1.32 do 0 intro. intros zenon_H2a7 zenon_H1b0 zenon_H1af zenon_H1ad zenon_H2b0 zenon_H244 zenon_H2b1 zenon_H2b2 zenon_H13c zenon_H13d zenon_H13e zenon_H1ab zenon_H229 zenon_H228 zenon_H227 zenon_H20 zenon_H36 zenon_H288 zenon_H37 zenon_H38. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H1ae | zenon_intro zenon_H2a8 ]. % 1.11/1.32 apply (zenon_L995_); trivial. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H109 | zenon_intro zenon_H275 ]. % 1.11/1.32 apply (zenon_L223_); trivial. % 1.11/1.32 apply (zenon_L1004_); trivial. % 1.11/1.32 (* end of lemma zenon_L1005_ *) % 1.11/1.32 assert (zenon_L1006_ : ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (c1_1 (a1643)) -> (~(c2_1 (a1643))) -> (~(c3_1 (a1643))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (ndr1_0) -> (~(c0_1 (a1701))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a1701))) -> (c3_1 (a1701)) -> False). % 1.11/1.32 do 0 intro. intros zenon_H2c5 zenon_H192 zenon_H191 zenon_H1a4 zenon_H2a7 zenon_H1b0 zenon_H1af zenon_H1ad zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H13c zenon_H13d zenon_H13e zenon_H1ab zenon_H229 zenon_H228 zenon_H227 zenon_H20 zenon_H36 zenon_H288 zenon_H37 zenon_H38. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H35 | zenon_intro zenon_H2c6 ]. % 1.11/1.32 apply (zenon_L22_); trivial. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H244 ]. % 1.11/1.32 apply (zenon_L191_); trivial. % 1.11/1.32 apply (zenon_L1005_); trivial. % 1.11/1.32 (* end of lemma zenon_L1006_ *) % 1.11/1.32 assert (zenon_L1007_ : ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a1701)) -> (~(c1_1 (a1701))) -> (~(c0_1 (a1701))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (ndr1_0) -> (~(c3_1 (a1643))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (~(c2_1 (a1643))) -> (c1_1 (a1643)) -> False). % 1.11/1.32 do 0 intro. intros zenon_H2c5 zenon_H38 zenon_H37 zenon_H36 zenon_H192 zenon_H191 zenon_H1a4 zenon_H1ab zenon_H13e zenon_H13d zenon_H13c zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H20 zenon_H1ad zenon_H1ae zenon_H1af zenon_H1b0. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H35 | zenon_intro zenon_H2c6 ]. % 1.11/1.32 apply (zenon_L22_); trivial. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H244 ]. % 1.11/1.32 apply (zenon_L191_); trivial. % 1.11/1.32 apply (zenon_L995_); trivial. % 1.11/1.32 (* end of lemma zenon_L1007_ *) % 1.11/1.32 assert (zenon_L1008_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> (~(c0_1 (a1697))) -> (~(c2_1 (a1697))) -> (~(c3_1 (a1697))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))) -> (ndr1_0) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> False). % 1.11/1.32 do 0 intro. intros zenon_H2b9 zenon_H192 zenon_H191 zenon_H1a4 zenon_H179 zenon_H17a zenon_H17b zenon_H216 zenon_H217 zenon_H218 zenon_H1c6 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H11d zenon_H20 zenon_H13c zenon_H13d zenon_H13e. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H2ba ]. % 1.11/1.32 apply (zenon_L275_); trivial. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H2af | zenon_intro zenon_H43 ]. % 1.11/1.32 apply (zenon_L703_); trivial. % 1.11/1.32 apply (zenon_L361_); trivial. % 1.11/1.32 (* end of lemma zenon_L1008_ *) % 1.11/1.32 assert (zenon_L1009_ : ((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (c1_1 (a1643)) -> (~(c2_1 (a1643))) -> (~(c3_1 (a1643))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> (~(c0_1 (a1697))) -> (~(c2_1 (a1697))) -> (~(c3_1 (a1697))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> False). % 1.11/1.32 do 0 intro. intros zenon_H60 zenon_H299 zenon_H227 zenon_H228 zenon_H229 zenon_H2a7 zenon_H1b0 zenon_H1af zenon_H1ad zenon_H1ab zenon_H2c5 zenon_H2b9 zenon_H192 zenon_H191 zenon_H1a4 zenon_H179 zenon_H17a zenon_H17b zenon_H216 zenon_H217 zenon_H218 zenon_H1c6 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H13c zenon_H13d zenon_H13e. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H20. zenon_intro zenon_H62. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H38. zenon_intro zenon_H63. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H36. zenon_intro zenon_H37. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 1.11/1.32 apply (zenon_L1006_); trivial. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 1.11/1.32 apply (zenon_L1007_); trivial. % 1.11/1.32 apply (zenon_L1008_); trivial. % 1.11/1.32 (* end of lemma zenon_L1009_ *) % 1.11/1.32 assert (zenon_L1010_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (~(c0_1 (a1701))) -> (~(c1_1 (a1701))) -> (c3_1 (a1701)) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (ndr1_0) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> False). % 1.11/1.32 do 0 intro. intros zenon_H2b9 zenon_H36 zenon_H37 zenon_H38 zenon_H179 zenon_H17a zenon_H17b zenon_H5a zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H1ae zenon_H20 zenon_H13c zenon_H13d zenon_H13e. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H2ba ]. % 1.11/1.32 apply (zenon_L95_); trivial. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H2af | zenon_intro zenon_H43 ]. % 1.11/1.32 apply (zenon_L703_); trivial. % 1.11/1.32 apply (zenon_L186_); trivial. % 1.11/1.32 (* end of lemma zenon_L1010_ *) % 1.11/1.32 assert (zenon_L1011_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (c3_1 (a1701)) -> (~(c1_1 (a1701))) -> (~(c0_1 (a1701))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (c3_1 (a1637)) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp25)) -> False). % 1.11/1.32 do 0 intro. intros zenon_H299 zenon_H227 zenon_H228 zenon_H229 zenon_H2a7 zenon_H13e zenon_H13d zenon_H13c zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H5a zenon_H17b zenon_H17a zenon_H179 zenon_H38 zenon_H37 zenon_H36 zenon_H2b9 zenon_H265 zenon_H276 zenon_H26c zenon_H26e zenon_H20 zenon_H3f zenon_H19. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H2ba ]. % 1.11/1.32 apply (zenon_L95_); trivial. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H2af | zenon_intro zenon_H43 ]. % 1.11/1.32 apply (zenon_L703_); trivial. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H1ae | zenon_intro zenon_H2a8 ]. % 1.11/1.32 apply (zenon_L186_); trivial. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H109 | zenon_intro zenon_H275 ]. % 1.11/1.32 apply (zenon_L223_); trivial. % 1.11/1.32 apply (zenon_L1004_); trivial. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 1.11/1.32 apply (zenon_L1010_); trivial. % 1.11/1.32 apply (zenon_L663_); trivial. % 1.11/1.32 (* end of lemma zenon_L1011_ *) % 1.11/1.32 assert (zenon_L1012_ : ((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (c3_1 (a1637)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> False). % 1.11/1.32 do 0 intro. intros zenon_H60 zenon_H34 zenon_H1c6 zenon_H2ce zenon_H299 zenon_H26e zenon_H26c zenon_H276 zenon_H265 zenon_H5a zenon_H17b zenon_H17a zenon_H179 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2a7 zenon_H229 zenon_H228 zenon_H227 zenon_H13e zenon_H13d zenon_H13c zenon_H2b9 zenon_H1a4 zenon_H191 zenon_H192 zenon_H232 zenon_H1ed zenon_H2c5 zenon_H242 zenon_H61. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H20. zenon_intro zenon_H62. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H38. zenon_intro zenon_H63. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H36. zenon_intro zenon_H37. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.11/1.32 apply (zenon_L1011_); trivial. % 1.11/1.32 apply (zenon_L857_); trivial. % 1.11/1.32 apply (zenon_L953_); trivial. % 1.11/1.32 (* end of lemma zenon_L1012_ *) % 1.11/1.32 assert (zenon_L1013_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> (~(hskp12)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (~(c3_1 (a1648))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> False). % 1.11/1.32 do 0 intro. intros zenon_H65 zenon_H299 zenon_H265 zenon_H5a zenon_H17b zenon_H17a zenon_H179 zenon_H2a7 zenon_H229 zenon_H228 zenon_H227 zenon_H2b9 zenon_H232 zenon_H1ed zenon_H2c5 zenon_H242 zenon_H61 zenon_H1d zenon_H17 zenon_H2ce zenon_H13e zenon_H13d zenon_H13c zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H276 zenon_H26e zenon_H26c zenon_H1a4 zenon_H191 zenon_H192 zenon_H1c6 zenon_H34. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.11/1.32 apply (zenon_L954_); trivial. % 1.11/1.32 apply (zenon_L1012_); trivial. % 1.11/1.32 (* end of lemma zenon_L1013_ *) % 1.11/1.32 assert (zenon_L1014_ : ((ndr1_0)/\((c0_1 (a1648))/\((c2_1 (a1648))/\(~(c3_1 (a1648)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (~(hskp6)) -> ((hskp19)\/((hskp21)\/(hskp6))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> False). % 1.11/1.32 do 0 intro. intros zenon_H1a1 zenon_H159 zenon_H15a zenon_H1ab zenon_Hce zenon_H112 zenon_H229 zenon_H228 zenon_H227 zenon_Hb zenon_H16e zenon_H2ce zenon_H68 zenon_H280 zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H276 zenon_H26e zenon_H26c zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H2c5. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.11/1.32 apply (zenon_L989_); trivial. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.11/1.32 apply (zenon_L1000_); trivial. % 1.11/1.32 apply (zenon_L819_); trivial. % 1.11/1.32 (* end of lemma zenon_L1014_ *) % 1.11/1.32 assert (zenon_L1015_ : ((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1701)) -> (~(c1_1 (a1701))) -> (~(c0_1 (a1701))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> (~(c1_1 (a1667))) -> (c0_1 (a1667)) -> (c2_1 (a1667)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> False). % 1.11/1.32 do 0 intro. intros zenon_H59 zenon_H242 zenon_H5a zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1ed zenon_H38 zenon_H37 zenon_H36 zenon_H227 zenon_H228 zenon_H229 zenon_H78 zenon_H79 zenon_H7a zenon_H232. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 1.11/1.32 apply (zenon_L256_); trivial. % 1.11/1.32 apply (zenon_L804_); trivial. % 1.11/1.32 (* end of lemma zenon_L1015_ *) % 1.11/1.32 assert (zenon_L1016_ : ((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (c3_1 (a1637)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c2_1 (a1667)) -> (c0_1 (a1667)) -> (~(c1_1 (a1667))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> False). % 1.11/1.32 do 0 intro. intros zenon_H60 zenon_H34 zenon_H299 zenon_H26e zenon_H26c zenon_H276 zenon_H265 zenon_H5a zenon_H17b zenon_H17a zenon_H179 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2a7 zenon_H229 zenon_H228 zenon_H227 zenon_H13e zenon_H13d zenon_H13c zenon_H2b9 zenon_H232 zenon_H7a zenon_H79 zenon_H78 zenon_H1ed zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H242 zenon_H61. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H20. zenon_intro zenon_H62. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H38. zenon_intro zenon_H63. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H36. zenon_intro zenon_H37. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.11/1.32 apply (zenon_L1011_); trivial. % 1.11/1.32 apply (zenon_L1015_); trivial. % 1.11/1.32 apply (zenon_L322_); trivial. % 1.11/1.32 (* end of lemma zenon_L1016_ *) % 1.11/1.32 assert (zenon_L1017_ : ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> (~(hskp19)) -> (~(hskp28)) -> (~(c1_1 (a1667))) -> (c2_1 (a1667)) -> (c0_1 (a1667)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (ndr1_0) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> False). % 1.11/1.32 do 0 intro. intros zenon_H2c5 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H13 zenon_H3f zenon_H78 zenon_H7a zenon_H79 zenon_H170 zenon_H1ab zenon_H13e zenon_H13d zenon_H13c zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H20 zenon_H128 zenon_H129 zenon_H12a. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H35 | zenon_intro zenon_H2c6 ]. % 1.11/1.32 apply (zenon_L200_); trivial. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H244 ]. % 1.11/1.32 apply (zenon_L801_); trivial. % 1.11/1.32 apply (zenon_L744_); trivial. % 1.11/1.32 (* end of lemma zenon_L1017_ *) % 1.11/1.32 assert (zenon_L1018_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (c3_1 (a1647)) -> (c1_1 (a1647)) -> (c0_1 (a1647)) -> (c1_1 (a1646)) -> (c2_1 (a1646)) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (ndr1_0) -> (forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))) -> (~(c1_1 (a1667))) -> (c2_1 (a1667)) -> (c0_1 (a1667)) -> False). % 1.11/1.32 do 0 intro. intros zenon_H1c6 zenon_H13e zenon_H13d zenon_H13c zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H26c zenon_H26e zenon_H276 zenon_H2ce zenon_H238 zenon_H237 zenon_H236 zenon_H4e zenon_H4f zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1ed zenon_H20 zenon_Ha2 zenon_H78 zenon_H7a zenon_H79. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1c7 ]. % 1.11/1.32 apply (zenon_L947_); trivial. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H21 | zenon_intro zenon_H1c3 ]. % 1.11/1.32 apply (zenon_L498_); trivial. % 1.11/1.32 apply (zenon_L132_); trivial. % 1.11/1.32 (* end of lemma zenon_L1018_ *) % 1.11/1.32 assert (zenon_L1019_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (ndr1_0) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a1667)) -> (c2_1 (a1667)) -> (~(c1_1 (a1667))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> False). % 1.11/1.32 do 0 intro. intros zenon_H61 zenon_H242 zenon_Hca zenon_H2ce zenon_H276 zenon_H26e zenon_H26c zenon_H1c6 zenon_H17b zenon_H17a zenon_H179 zenon_H1ed zenon_H5a zenon_H227 zenon_H228 zenon_H229 zenon_H232 zenon_H1ab zenon_H12a zenon_H129 zenon_H128 zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H13e zenon_H13d zenon_H13c zenon_H20 zenon_H170 zenon_H13 zenon_H79 zenon_H7a zenon_H78 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H2c5. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.11/1.32 apply (zenon_L1017_); trivial. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 1.11/1.32 apply (zenon_L256_); trivial. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H20. zenon_intro zenon_H240. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H236. zenon_intro zenon_H241. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H237. zenon_intro zenon_H238. % 1.11/1.32 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H97 | zenon_intro zenon_Hcd ]. % 1.11/1.32 apply (zenon_L516_); trivial. % 1.11/1.32 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H69 | zenon_intro zenon_Ha2 ]. % 1.11/1.32 apply (zenon_L985_); trivial. % 1.11/1.32 apply (zenon_L1018_); trivial. % 1.11/1.32 (* end of lemma zenon_L1019_ *) % 1.11/1.32 assert (zenon_L1020_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((hskp12)\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> (ndr1_0) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> (~(hskp10)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> False). % 1.11/1.32 do 0 intro. intros zenon_H159 zenon_H1ab zenon_H1c6 zenon_Hca zenon_H2a0 zenon_H3 zenon_H232 zenon_H2b9 zenon_H227 zenon_H228 zenon_H229 zenon_H2a7 zenon_H179 zenon_H17a zenon_H17b zenon_H265 zenon_H299 zenon_H34 zenon_H65 zenon_Hf0 zenon_H68 zenon_H2ce zenon_H2c5 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H170 zenon_H26c zenon_H26e zenon_H276 zenon_H280 zenon_H2bb zenon_H5a zenon_H1ed zenon_H242 zenon_H61 zenon_H20 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H189 zenon_H1d1 zenon_H132 zenon_H27b zenon_H118 zenon_H15a. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.11/1.32 apply (zenon_L987_); trivial. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 1.11/1.32 apply (zenon_L159_); trivial. % 1.11/1.32 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_H20. zenon_intro zenon_Hf6. % 1.11/1.32 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H79. zenon_intro zenon_Hf7. % 1.11/1.32 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H7a. zenon_intro zenon_H78. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.11/1.32 apply (zenon_L400_); trivial. % 1.11/1.32 apply (zenon_L1016_); trivial. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 1.11/1.32 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 1.11/1.32 apply (zenon_L159_); trivial. % 1.11/1.32 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_H20. zenon_intro zenon_Hf6. % 1.11/1.32 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H79. zenon_intro zenon_Hf7. % 1.11/1.32 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H7a. zenon_intro zenon_H78. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.11/1.32 apply (zenon_L1019_); trivial. % 1.11/1.32 apply (zenon_L945_); trivial. % 1.11/1.32 (* end of lemma zenon_L1020_ *) % 1.11/1.32 assert (zenon_L1021_ : ((ndr1_0)/\((c0_1 (a1648))/\((c2_1 (a1648))/\(~(c3_1 (a1648)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> False). % 1.11/1.32 do 0 intro. intros zenon_H1a1 zenon_H159 zenon_H15a zenon_H1ab zenon_H34 zenon_H1c6 zenon_H2ce zenon_H1d zenon_H61 zenon_H242 zenon_H1ed zenon_H232 zenon_H2b9 zenon_H227 zenon_H228 zenon_H229 zenon_H2a7 zenon_H179 zenon_H17a zenon_H17b zenon_H5a zenon_H265 zenon_H299 zenon_H65 zenon_H280 zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H276 zenon_H26e zenon_H26c zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H2c5. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.11/1.32 apply (zenon_L989_); trivial. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.11/1.32 apply (zenon_L1013_); trivial. % 1.11/1.32 apply (zenon_L819_); trivial. % 1.11/1.32 (* end of lemma zenon_L1021_ *) % 1.11/1.32 assert (zenon_L1022_ : ((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> False). % 1.11/1.32 do 0 intro. intros zenon_Hf5 zenon_Hf1 zenon_H24f zenon_H13c zenon_H13d zenon_H13e zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H1ab zenon_H12a zenon_H129 zenon_H128 zenon_H82 zenon_H83 zenon_H84 zenon_H8d. % 1.11/1.32 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_H20. zenon_intro zenon_Hf6. % 1.11/1.32 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H79. zenon_intro zenon_Hf7. % 1.11/1.32 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H7a. zenon_intro zenon_H78. % 1.11/1.32 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 1.11/1.32 apply (zenon_L38_); trivial. % 1.11/1.32 apply (zenon_L745_); trivial. % 1.11/1.32 (* end of lemma zenon_L1022_ *) % 1.11/1.32 assert (zenon_L1023_ : ((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> (~(hskp10)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> False). % 1.11/1.32 do 0 intro. intros zenon_H15d zenon_Hf0 zenon_Hf1 zenon_H24f zenon_H13c zenon_H13d zenon_H13e zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H1ab zenon_H82 zenon_H83 zenon_H84 zenon_H8d zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H189 zenon_H1d1. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 1.11/1.32 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 1.11/1.32 apply (zenon_L159_); trivial. % 1.11/1.32 apply (zenon_L1022_); trivial. % 1.11/1.32 (* end of lemma zenon_L1023_ *) % 1.11/1.32 assert (zenon_L1024_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (c2_1 (a1709)) -> (c1_1 (a1709)) -> (~(c0_1 (a1709))) -> (ndr1_0) -> (forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))) -> (~(c1_1 (a1667))) -> (c2_1 (a1667)) -> (c0_1 (a1667)) -> False). % 1.11/1.32 do 0 intro. intros zenon_H1c6 zenon_H13e zenon_H13d zenon_H13c zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H26c zenon_H26e zenon_H276 zenon_H2ce zenon_H24 zenon_H23 zenon_H22 zenon_H20 zenon_Ha2 zenon_H78 zenon_H7a zenon_H79. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1c7 ]. % 1.11/1.32 apply (zenon_L947_); trivial. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H21 | zenon_intro zenon_H1c3 ]. % 1.11/1.32 apply (zenon_L17_); trivial. % 1.11/1.32 apply (zenon_L132_); trivial. % 1.11/1.32 (* end of lemma zenon_L1024_ *) % 1.11/1.32 assert (zenon_L1025_ : ((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (c2_1 (a1675)) -> (~(c1_1 (a1675))) -> (~(c0_1 (a1675))) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (~(c1_1 (a1667))) -> (c2_1 (a1667)) -> (c0_1 (a1667)) -> False). % 1.11/1.32 do 0 intro. intros zenon_H2f zenon_Hca zenon_H9a zenon_H99 zenon_H98 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H5a zenon_H1c6 zenon_H13e zenon_H13d zenon_H13c zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H26c zenon_H26e zenon_H276 zenon_H2ce zenon_H78 zenon_H7a zenon_H79. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H20. zenon_intro zenon_H31. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H23. zenon_intro zenon_H32. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H24. zenon_intro zenon_H22. % 1.11/1.32 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H97 | zenon_intro zenon_Hcd ]. % 1.11/1.32 apply (zenon_L43_); trivial. % 1.11/1.32 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H69 | zenon_intro zenon_Ha2 ]. % 1.11/1.32 apply (zenon_L169_); trivial. % 1.11/1.32 apply (zenon_L1024_); trivial. % 1.11/1.32 (* end of lemma zenon_L1025_ *) % 1.11/1.32 assert (zenon_L1026_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (~(c1_1 (a1667))) -> (c2_1 (a1667)) -> (c0_1 (a1667)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c2_1 (a1675)) -> (~(c1_1 (a1675))) -> (~(c0_1 (a1675))) -> (~(hskp12)) -> (~(hskp24)) -> ((hskp12)\/((hskp25)\/(hskp24))) -> False). % 1.11/1.32 do 0 intro. intros zenon_H34 zenon_Hca zenon_H2ce zenon_H13e zenon_H13d zenon_H13c zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H276 zenon_H26e zenon_H26c zenon_H78 zenon_H7a zenon_H79 zenon_H1c6 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H5a zenon_H9a zenon_H99 zenon_H98 zenon_H17 zenon_H1b zenon_H1d. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 1.11/1.32 apply (zenon_L15_); trivial. % 1.11/1.32 apply (zenon_L1025_); trivial. % 1.11/1.32 (* end of lemma zenon_L1026_ *) % 1.11/1.32 assert (zenon_L1027_ : ((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (~(c1_1 (a1667))) -> (c2_1 (a1667)) -> (c0_1 (a1667)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c2_1 (a1675)) -> (~(c1_1 (a1675))) -> (~(c0_1 (a1675))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (~(hskp12)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> False). % 1.11/1.32 do 0 intro. intros zenon_H59 zenon_H242 zenon_Hca zenon_H2ce zenon_H13e zenon_H13d zenon_H13c zenon_H276 zenon_H26e zenon_H26c zenon_H78 zenon_H7a zenon_H79 zenon_H1c6 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1ed zenon_H5a zenon_H9a zenon_H99 zenon_H98 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H17 zenon_H2bb. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 1.11/1.32 apply (zenon_L706_); trivial. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H20. zenon_intro zenon_H240. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H236. zenon_intro zenon_H241. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H237. zenon_intro zenon_H238. % 1.11/1.32 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H97 | zenon_intro zenon_Hcd ]. % 1.11/1.32 apply (zenon_L43_); trivial. % 1.11/1.32 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H69 | zenon_intro zenon_Ha2 ]. % 1.11/1.32 apply (zenon_L985_); trivial. % 1.11/1.32 apply (zenon_L1018_); trivial. % 1.11/1.32 (* end of lemma zenon_L1027_ *) % 1.11/1.32 assert (zenon_L1028_ : ((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (c3_1 (a1637)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/(forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28)))))))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> (~(hskp12)) -> (~(c0_1 (a1675))) -> (~(c1_1 (a1675))) -> (c2_1 (a1675)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c0_1 (a1667)) -> (c2_1 (a1667)) -> (~(c1_1 (a1667))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> False). % 1.11/1.32 do 0 intro. intros zenon_H60 zenon_H34 zenon_H299 zenon_H26e zenon_H26c zenon_H276 zenon_H265 zenon_H5a zenon_H17b zenon_H17a zenon_H179 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2a7 zenon_H229 zenon_H228 zenon_H227 zenon_H13e zenon_H13d zenon_H13c zenon_H2b9 zenon_H2bb zenon_H17 zenon_H98 zenon_H99 zenon_H9a zenon_H1ed zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H1c6 zenon_H79 zenon_H7a zenon_H78 zenon_H2ce zenon_Hca zenon_H242 zenon_H61. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H20. zenon_intro zenon_H62. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H38. zenon_intro zenon_H63. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H36. zenon_intro zenon_H37. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.11/1.32 apply (zenon_L1011_); trivial. % 1.11/1.32 apply (zenon_L1027_); trivial. % 1.11/1.32 apply (zenon_L1025_); trivial. % 1.11/1.32 (* end of lemma zenon_L1028_ *) % 1.11/1.32 assert (zenon_L1029_ : ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (~(hskp10)) -> (~(hskp16)) -> (~(c0_1 (a1638))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))) -> (ndr1_0) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> False). % 1.11/1.32 do 0 intro. intros zenon_H2ce zenon_H189 zenon_H73 zenon_H227 zenon_H229 zenon_H228 zenon_H1d1 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H11d zenon_H20 zenon_H13c zenon_H13d zenon_H13e. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H251 | zenon_intro zenon_H2ba ]. % 1.11/1.32 apply (zenon_L250_); trivial. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H2af | zenon_intro zenon_H43 ]. % 1.11/1.32 apply (zenon_L703_); trivial. % 1.11/1.32 apply (zenon_L361_); trivial. % 1.11/1.32 (* end of lemma zenon_L1029_ *) % 1.11/1.32 assert (zenon_L1030_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (~(hskp10)) -> (~(hskp16)) -> (~(c0_1 (a1638))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (ndr1_0) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> False). % 1.11/1.32 do 0 intro. intros zenon_H299 zenon_H28b zenon_H28a zenon_H289 zenon_H2ce zenon_H189 zenon_H73 zenon_H227 zenon_H229 zenon_H228 zenon_H1d1 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H20 zenon_H13c zenon_H13d zenon_H13e. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 1.11/1.32 apply (zenon_L355_); trivial. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 1.11/1.32 apply (zenon_L847_); trivial. % 1.11/1.32 apply (zenon_L1029_); trivial. % 1.11/1.32 (* end of lemma zenon_L1030_ *) % 1.11/1.32 assert (zenon_L1031_ : ((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(hskp18))) -> (~(hskp2)) -> (~(hskp9)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp2)\/(hskp9))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (~(c0_1 (a1638))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(hskp10)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> False). % 1.11/1.32 do 0 intro. intros zenon_H155 zenon_Hf0 zenon_H136 zenon_H242 zenon_H11b zenon_H19d zenon_Hd zenon_H25f zenon_H211 zenon_H232 zenon_H222 zenon_H289 zenon_H28a zenon_H28b zenon_H2ce zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H227 zenon_H229 zenon_H228 zenon_H189 zenon_H1d1 zenon_H299. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.11/1.32 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 1.11/1.32 apply (zenon_L1030_); trivial. % 1.11/1.32 apply (zenon_L412_); trivial. % 1.11/1.32 (* end of lemma zenon_L1031_ *) % 1.11/1.32 assert (zenon_L1032_ : ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (c3_1 (a1647)) -> (c1_1 (a1647)) -> (c0_1 (a1647)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp2)\/(hskp9))) -> (~(c3_1 (a1648))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(hskp2)) -> (~(hskp9)) -> (~(c0_1 (a1638))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))) -> (ndr1_0) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> False). % 1.11/1.32 do 0 intro. intros zenon_H2ce zenon_H238 zenon_H237 zenon_H236 zenon_H25f zenon_H1a4 zenon_H192 zenon_H191 zenon_H19d zenon_Hd zenon_H227 zenon_H229 zenon_H228 zenon_H1ed zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H11d zenon_H20 zenon_H13c zenon_H13d zenon_H13e. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H251 | zenon_intro zenon_H2ba ]. % 1.11/1.32 apply (zenon_L288_); trivial. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H2af | zenon_intro zenon_H43 ]. % 1.11/1.32 apply (zenon_L703_); trivial. % 1.11/1.32 apply (zenon_L361_); trivial. % 1.11/1.32 (* end of lemma zenon_L1032_ *) % 1.11/1.32 assert (zenon_L1033_ : ((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> False). % 1.11/1.32 do 0 intro. intros zenon_H60 zenon_H2c5 zenon_H192 zenon_H191 zenon_H1a4 zenon_H1ab zenon_H13e zenon_H13d zenon_H13c zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H128 zenon_H129 zenon_H12a. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H20. zenon_intro zenon_H62. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H38. zenon_intro zenon_H63. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H36. zenon_intro zenon_H37. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H35 | zenon_intro zenon_H2c6 ]. % 1.11/1.32 apply (zenon_L22_); trivial. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H244 ]. % 1.11/1.32 apply (zenon_L191_); trivial. % 1.11/1.32 apply (zenon_L744_); trivial. % 1.11/1.32 (* end of lemma zenon_L1033_ *) % 1.11/1.32 assert (zenon_L1034_ : ((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (~(c3_1 (a1697))) -> (~(c2_1 (a1697))) -> (~(c0_1 (a1697))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp2)\/(hskp9))) -> (~(c3_1 (a1648))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(hskp2)) -> (~(hskp9)) -> (~(c0_1 (a1638))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> False). % 1.11/1.32 do 0 intro. intros zenon_H23f zenon_H299 zenon_H28b zenon_H28a zenon_H289 zenon_H218 zenon_H217 zenon_H216 zenon_H2ce zenon_H25f zenon_H1a4 zenon_H192 zenon_H191 zenon_H19d zenon_Hd zenon_H227 zenon_H229 zenon_H228 zenon_H1ed zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H13c zenon_H13d zenon_H13e. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H20. zenon_intro zenon_H240. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H236. zenon_intro zenon_H241. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H237. zenon_intro zenon_H238. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 1.11/1.32 apply (zenon_L355_); trivial. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 1.11/1.32 apply (zenon_L194_); trivial. % 1.11/1.32 apply (zenon_L1032_); trivial. % 1.11/1.32 (* end of lemma zenon_L1034_ *) % 1.11/1.32 assert (zenon_L1035_ : ((ndr1_0)/\((c0_1 (a1648))/\((c2_1 (a1648))/\(~(c3_1 (a1648)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp29))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((hskp19)\/((hskp21)\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp28))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp2)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> False). % 1.11/1.32 do 0 intro. intros zenon_H1a1 zenon_H159 zenon_H299 zenon_H2ce zenon_H28b zenon_H28a zenon_H289 zenon_H1ab zenon_H68 zenon_H222 zenon_H65 zenon_H19f zenon_H19d zenon_H1ed zenon_H25d zenon_H2c5 zenon_H1d zenon_H1c6 zenon_H34 zenon_H2bb zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H211 zenon_H242 zenon_H16e zenon_Hb zenon_H227 zenon_H228 zenon_H229 zenon_H112 zenon_Hce zenon_H5a zenon_H170 zenon_H232 zenon_H233 zenon_H2a9 zenon_H3 zenon_H259 zenon_H61 zenon_H1ff zenon_H25f zenon_Hd zenon_H15a. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.11/1.32 apply (zenon_L863_); trivial. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.11/1.32 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.11/1.32 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.11/1.33 apply (zenon_L853_); trivial. % 1.11/1.33 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 1.11/1.33 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 1.11/1.33 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 1.11/1.33 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.11/1.33 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.11/1.33 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 1.11/1.33 apply (zenon_L229_); trivial. % 1.11/1.33 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H20. zenon_intro zenon_H240. % 1.11/1.33 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H236. zenon_intro zenon_H241. % 1.11/1.33 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H237. zenon_intro zenon_H238. % 1.11/1.33 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 1.11/1.33 apply (zenon_L355_); trivial. % 1.11/1.33 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 1.11/1.33 apply (zenon_L262_); trivial. % 1.11/1.33 apply (zenon_L1032_); trivial. % 1.11/1.33 apply (zenon_L1033_); trivial. % 1.11/1.33 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H20. zenon_intro zenon_H220. % 1.11/1.33 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H216. zenon_intro zenon_H221. % 1.11/1.33 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H217. zenon_intro zenon_H218. % 1.11/1.33 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.11/1.33 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 1.11/1.33 apply (zenon_L229_); trivial. % 1.11/1.33 apply (zenon_L1034_); trivial. % 1.11/1.33 apply (zenon_L727_); trivial. % 1.11/1.33 (* end of lemma zenon_L1035_ *) % 1.11/1.33 assert (zenon_L1036_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (ndr1_0) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> False). % 1.11/1.33 do 0 intro. intros zenon_H2b9 zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H1ae zenon_H20 zenon_H13c zenon_H13d zenon_H13e. % 1.11/1.33 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H2ba ]. % 1.11/1.33 apply (zenon_L52_); trivial. % 1.11/1.33 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H2af | zenon_intro zenon_H43 ]. % 1.11/1.33 apply (zenon_L703_); trivial. % 1.11/1.33 apply (zenon_L186_); trivial. % 1.11/1.33 (* end of lemma zenon_L1036_ *) % 1.11/1.33 assert (zenon_L1037_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))) -> (ndr1_0) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> False). % 1.11/1.33 do 0 intro. intros zenon_H2b9 zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H11d zenon_H20 zenon_H13c zenon_H13d zenon_H13e. % 1.11/1.33 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H2ba ]. % 1.11/1.33 apply (zenon_L52_); trivial. % 1.11/1.33 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H2af | zenon_intro zenon_H43 ]. % 1.11/1.33 apply (zenon_L703_); trivial. % 1.11/1.33 apply (zenon_L361_); trivial. % 1.11/1.33 (* end of lemma zenon_L1037_ *) % 1.11/1.33 assert (zenon_L1038_ : ((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> False). % 1.11/1.33 do 0 intro. intros zenon_H155 zenon_H299 zenon_H28b zenon_H28a zenon_H289 zenon_H2b9 zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_H2b2 zenon_H2b1 zenon_H2b0. % 1.11/1.33 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.11/1.33 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.11/1.33 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.11/1.33 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 1.11/1.33 apply (zenon_L355_); trivial. % 1.11/1.33 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 1.11/1.33 apply (zenon_L1036_); trivial. % 1.11/1.33 apply (zenon_L1037_); trivial. % 1.11/1.33 (* end of lemma zenon_L1038_ *) % 1.11/1.33 assert (zenon_L1039_ : ((ndr1_0)/\((c0_1 (a1648))/\((c2_1 (a1648))/\(~(c3_1 (a1648)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp5)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp5))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> False). % 1.11/1.33 do 0 intro. intros zenon_H1a1 zenon_H159 zenon_H299 zenon_H28b zenon_H28a zenon_H289 zenon_Hf2 zenon_Heb zenon_He8 zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_H65 zenon_H5a zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2c5 zenon_H61 zenon_H242 zenon_H259 zenon_H1ed zenon_H3 zenon_H2a9 zenon_H227 zenon_H228 zenon_H229 zenon_H233 zenon_H232 zenon_H95 zenon_Hb2 zenon_H170 zenon_Hcf zenon_Hd0 zenon_Hce zenon_H2b9 zenon_H68. % 1.11/1.33 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.11/1.33 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.11/1.33 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.11/1.33 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.11/1.33 apply (zenon_L872_); trivial. % 1.11/1.33 apply (zenon_L1038_); trivial. % 1.11/1.33 (* end of lemma zenon_L1039_ *) % 1.11/1.33 assert (zenon_L1040_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (c3_1 (a1647)) -> (c1_1 (a1647)) -> (c0_1 (a1647)) -> (~(hskp22)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))) -> (ndr1_0) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> False). % 1.11/1.33 do 0 intro. intros zenon_H2b9 zenon_H192 zenon_H191 zenon_H1a4 zenon_H179 zenon_H17a zenon_H17b zenon_H211 zenon_H238 zenon_H237 zenon_H236 zenon_H20f zenon_H1c6 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H11d zenon_H20 zenon_H13c zenon_H13d zenon_H13e. % 1.11/1.33 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H2ba ]. % 1.11/1.33 apply (zenon_L273_); trivial. % 1.11/1.33 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H2af | zenon_intro zenon_H43 ]. % 1.11/1.33 apply (zenon_L703_); trivial. % 1.11/1.33 apply (zenon_L361_); trivial. % 1.11/1.33 (* end of lemma zenon_L1040_ *) % 1.11/1.33 assert (zenon_L1041_ : ((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(hskp22)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> False). % 1.11/1.33 do 0 intro. intros zenon_H23f zenon_H299 zenon_H28b zenon_H28a zenon_H289 zenon_H2b9 zenon_H192 zenon_H191 zenon_H1a4 zenon_H179 zenon_H17a zenon_H17b zenon_H211 zenon_H20f zenon_H1c6 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H13c zenon_H13d zenon_H13e. % 1.11/1.33 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H20. zenon_intro zenon_H240. % 1.11/1.33 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H236. zenon_intro zenon_H241. % 1.11/1.33 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H237. zenon_intro zenon_H238. % 1.11/1.33 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 1.11/1.33 apply (zenon_L355_); trivial. % 1.11/1.33 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 1.11/1.33 apply (zenon_L262_); trivial. % 1.11/1.33 apply (zenon_L1040_); trivial. % 1.11/1.33 (* end of lemma zenon_L1041_ *) % 1.11/1.33 assert (zenon_L1042_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c3_1 (a1653))) -> (c0_1 (a1653)) -> (c1_1 (a1653)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> (c0_1 (a1648)) -> (c2_1 (a1648)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (ndr1_0) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> (~(hskp22)) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> (~(c3_1 (a1648))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> False). % 1.11/1.33 do 0 intro. intros zenon_H65 zenon_H2c5 zenon_H128 zenon_H129 zenon_H12a zenon_H1ab zenon_H232 zenon_H191 zenon_H192 zenon_H233 zenon_H229 zenon_H228 zenon_H227 zenon_H20 zenon_H289 zenon_H28a zenon_H28b zenon_H211 zenon_H20f zenon_H13e zenon_H13d zenon_H13c zenon_H2b9 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H179 zenon_H17a zenon_H17b zenon_H1a4 zenon_H1c6 zenon_H299 zenon_H242. % 1.11/1.33 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.11/1.33 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 1.11/1.33 apply (zenon_L229_); trivial. % 1.11/1.33 apply (zenon_L1041_); trivial. % 1.11/1.33 apply (zenon_L1033_); trivial. % 1.11/1.33 (* end of lemma zenon_L1042_ *) % 1.11/1.33 assert (zenon_L1043_ : ((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> False). % 1.11/1.33 do 0 intro. intros zenon_H21f zenon_H299 zenon_H28b zenon_H28a zenon_H289 zenon_H2b9 zenon_H192 zenon_H191 zenon_H1a4 zenon_H179 zenon_H17a zenon_H17b zenon_H1c6 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H13c zenon_H13d zenon_H13e. % 1.11/1.33 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H20. zenon_intro zenon_H220. % 1.11/1.33 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H216. zenon_intro zenon_H221. % 1.11/1.33 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H217. zenon_intro zenon_H218. % 1.11/1.33 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 1.11/1.33 apply (zenon_L355_); trivial. % 1.11/1.33 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 1.11/1.33 apply (zenon_L194_); trivial. % 1.11/1.33 apply (zenon_L1008_); trivial. % 1.11/1.33 (* end of lemma zenon_L1043_ *) % 1.11/1.33 assert (zenon_L1044_ : ((ndr1_0)/\((c0_1 (a1648))/\((c2_1 (a1648))/\(~(c3_1 (a1648)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> ((hskp12)\/((hskp5)\/(hskp24))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> (~(hskp2)) -> (~(hskp9)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c1_1 X55)\/((c3_1 X55)\/(~(c2_1 X55))))))\/((hskp2)\/(hskp9))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp5)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp5))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> False). % 1.11/1.33 do 0 intro. intros zenon_H1a1 zenon_H159 zenon_H15a zenon_H299 zenon_H28b zenon_H28a zenon_H289 zenon_H1ab zenon_H112 zenon_H2a0 zenon_Hf2 zenon_Heb zenon_He8 zenon_H179 zenon_H17a zenon_H17b zenon_H19d zenon_Hd zenon_H25f zenon_H65 zenon_H5a zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2c5 zenon_H61 zenon_H242 zenon_H259 zenon_H1ed zenon_H3 zenon_H2a9 zenon_H227 zenon_H228 zenon_H229 zenon_H233 zenon_H232 zenon_H95 zenon_Hb2 zenon_H170 zenon_Hcf zenon_Hd0 zenon_Hce zenon_H2b9 zenon_H211 zenon_H1c6 zenon_H222 zenon_H68. % 1.11/1.33 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.11/1.33 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.11/1.33 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.11/1.33 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.11/1.33 apply (zenon_L876_); trivial. % 1.11/1.33 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.11/1.33 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.11/1.33 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.11/1.33 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.11/1.33 apply (zenon_L402_); trivial. % 1.11/1.33 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 1.11/1.33 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 1.11/1.33 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 1.11/1.33 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.11/1.33 apply (zenon_L1042_); trivial. % 1.11/1.33 apply (zenon_L1043_); trivial. % 1.11/1.33 (* end of lemma zenon_L1044_ *) % 1.11/1.33 assert (zenon_L1045_ : ((ndr1_0)/\((c0_1 (a1648))/\((c2_1 (a1648))/\(~(c3_1 (a1648)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp5)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp5))) -> (~(c0_1 (a1638))) -> (~(c2_1 (a1638))) -> (c3_1 (a1638)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> False). % 1.11/1.33 do 0 intro. intros zenon_H1a1 zenon_H159 zenon_H299 zenon_H28b zenon_H28a zenon_H289 zenon_Hf2 zenon_Heb zenon_He8 zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_H65 zenon_H5a zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2c5 zenon_H61 zenon_H242 zenon_H259 zenon_H1ed zenon_H3 zenon_H2a9 zenon_H227 zenon_H228 zenon_H229 zenon_H233 zenon_H232 zenon_H95 zenon_Hb2 zenon_H170 zenon_Hcf zenon_Hd0 zenon_Hce zenon_H2b9 zenon_H179 zenon_H17a zenon_H17b zenon_H211 zenon_H1c6 zenon_H222 zenon_H68. % 1.11/1.33 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.11/1.33 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.11/1.33 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.11/1.33 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.11/1.33 apply (zenon_L881_); trivial. % 1.11/1.33 apply (zenon_L1038_); trivial. % 1.11/1.33 (* end of lemma zenon_L1045_ *) % 1.11/1.33 assert (zenon_L1046_ : ((ndr1_0)/\((~(c0_1 (a1644)))/\((~(c1_1 (a1644)))/\(~(c3_1 (a1644)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(hskp7)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> False). % 1.11/1.33 do 0 intro. intros zenon_H158 zenon_H159 zenon_H299 zenon_H28b zenon_H28a zenon_H289 zenon_Hf2 zenon_Heb zenon_He8 zenon_Hd0 zenon_Hcf zenon_H170 zenon_Hb2 zenon_H95 zenon_H9 zenon_H172 zenon_H61 zenon_Hce zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2b9 zenon_H68. % 1.11/1.33 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H20. zenon_intro zenon_H15b. % 1.11/1.33 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_Hd5. zenon_intro zenon_H15c. % 1.11/1.33 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_Hd6. zenon_intro zenon_Hd7. % 1.11/1.33 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.11/1.33 apply (zenon_L705_); trivial. % 1.11/1.33 apply (zenon_L1038_); trivial. % 1.11/1.33 (* end of lemma zenon_L1046_ *) % 1.11/1.33 assert (zenon_L1047_ : ((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp2)) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (~(c0_1 (a1638))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(hskp10)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> False). % 1.11/1.33 do 0 intro. intros zenon_H155 zenon_Hf0 zenon_H19f zenon_H19d zenon_H84 zenon_H83 zenon_H82 zenon_H289 zenon_H28a zenon_H28b zenon_H2ce zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H227 zenon_H229 zenon_H228 zenon_H189 zenon_H1d1 zenon_H299. % 1.11/1.33 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.11/1.33 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.11/1.33 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.11/1.33 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 1.11/1.33 apply (zenon_L1030_); trivial. % 1.11/1.33 apply (zenon_L114_); trivial. % 1.11/1.33 (* end of lemma zenon_L1047_ *) % 1.11/1.33 assert (zenon_L1048_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> (~(hskp10)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> (ndr1_0) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> False). % 1.11/1.33 do 0 intro. intros zenon_H159 zenon_H289 zenon_H28a zenon_H28b zenon_H2ce zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H299 zenon_H259 zenon_H189 zenon_H1d1 zenon_H229 zenon_H228 zenon_H227 zenon_H20 zenon_H82 zenon_H83 zenon_H84 zenon_H19d zenon_H19f zenon_Hf0. % 1.11/1.33 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.11/1.33 apply (zenon_L252_); trivial. % 1.11/1.33 apply (zenon_L1047_); trivial. % 1.11/1.33 (* end of lemma zenon_L1048_ *) % 1.11/1.33 assert (zenon_L1049_ : ((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> (~(hskp9)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp9))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> False). % 1.11/1.33 do 0 intro. intros zenon_H155 zenon_H299 zenon_H28b zenon_H28a zenon_H289 zenon_H2b9 zenon_H192 zenon_H191 zenon_H1a4 zenon_H179 zenon_H17a zenon_H17b zenon_H19f zenon_Hd zenon_H16a zenon_H84 zenon_H83 zenon_H82 zenon_H19d zenon_H1c6 zenon_H2b2 zenon_H2b1 zenon_H2b0. % 1.11/1.33 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.11/1.33 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.11/1.33 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.11/1.33 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 1.11/1.33 apply (zenon_L355_); trivial. % 1.11/1.33 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 1.11/1.33 apply (zenon_L480_); trivial. % 1.11/1.33 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H2ba ]. % 1.11/1.33 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1c7 ]. % 1.11/1.33 apply (zenon_L480_); trivial. % 1.11/1.33 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H21 | zenon_intro zenon_H1c3 ]. % 1.11/1.33 apply (zenon_L94_); trivial. % 1.11/1.33 apply (zenon_L191_); trivial. % 1.11/1.33 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H2af | zenon_intro zenon_H43 ]. % 1.11/1.33 apply (zenon_L703_); trivial. % 1.11/1.33 apply (zenon_L361_); trivial. % 1.11/1.33 (* end of lemma zenon_L1049_ *) % 1.11/1.33 assert (zenon_L1050_ : ((ndr1_0)/\((c0_1 (a1648))/\((c2_1 (a1648))/\(~(c3_1 (a1648)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/(hskp29))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp29)\/(hskp24))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(hskp7)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71))))))\/(hskp22))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a1697)))/\((~(c2_1 (a1697)))/\(~(c3_1 (a1697))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> False). % 1.11/1.33 do 0 intro. intros zenon_H1a1 zenon_H159 zenon_H299 zenon_H16a zenon_Hd zenon_H28b zenon_H28a zenon_H289 zenon_Hf2 zenon_H65 zenon_Heb zenon_He8 zenon_H179 zenon_H17a zenon_H17b zenon_H5a zenon_H232 zenon_H233 zenon_H229 zenon_H228 zenon_H227 zenon_H1ed zenon_H82 zenon_H83 zenon_H84 zenon_H19d zenon_H19f zenon_H259 zenon_H242 zenon_Hd0 zenon_Hcf zenon_H170 zenon_Hb2 zenon_H95 zenon_H9 zenon_H172 zenon_H61 zenon_Hce zenon_H2b9 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H211 zenon_H1c6 zenon_H222 zenon_H68. % 1.11/1.33 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.11/1.33 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.11/1.33 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.11/1.33 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.11/1.33 apply (zenon_L893_); trivial. % 1.11/1.33 apply (zenon_L1049_); trivial. % 1.11/1.33 (* end of lemma zenon_L1050_ *) % 1.11/1.33 assert (zenon_L1051_ : ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(c3_1 (a1642))) -> (c0_1 (a1642)) -> (~(c2_1 (a1642))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> (c3_1 (a1638)) -> (~(c2_1 (a1638))) -> (~(c0_1 (a1638))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> (~(c0_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c3_1 (a1644))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> False). % 1.11/1.33 do 0 intro. intros zenon_Hf1 zenon_Hce zenon_Hca zenon_H162 zenon_H163 zenon_H161 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H24f zenon_H82 zenon_H83 zenon_H84 zenon_H8d zenon_Hcf zenon_H112 zenon_H17 zenon_Hb2 zenon_H229 zenon_H228 zenon_H227 zenon_H95 zenon_Hd0 zenon_Hd5 zenon_Hd6 zenon_Hd7 zenon_He8 zenon_Heb zenon_Hf2. % 1.11/1.33 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 1.11/1.33 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 1.11/1.33 apply (zenon_L906_); trivial. % 1.11/1.33 apply (zenon_L55_); trivial. % 1.11/1.33 apply (zenon_L770_); trivial. % 1.11/1.33 (* end of lemma zenon_L1051_ *) % 1.11/1.33 assert (zenon_L1052_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> ((hskp12)\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp2))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> (~(c1_1 (a1634))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> (ndr1_0) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> (~(hskp10)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> ((hskp10)\/((hskp18)\/(hskp11))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> False). % 1.11/1.33 do 0 intro. intros zenon_H159 zenon_H299 zenon_H28b zenon_H28a zenon_H289 zenon_Hf0 zenon_H68 zenon_H2b9 zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_H2a0 zenon_H3 zenon_H2c5 zenon_H2b1 zenon_H2b2 zenon_H19d zenon_H19f zenon_H170 zenon_H2bb zenon_H2b0 zenon_H1ed zenon_H5a zenon_H242 zenon_H61 zenon_H65 zenon_H20 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H189 zenon_H1d1 zenon_H18b zenon_H132 zenon_H136 zenon_H15a. % 1.11/1.33 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.11/1.33 apply (zenon_L940_); trivial. % 1.11/1.33 apply (zenon_L1038_); trivial. % 1.11/1.33 (* end of lemma zenon_L1052_ *) % 1.11/1.33 assert (zenon_L1053_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (ndr1_0) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> False). % 1.11/1.33 do 0 intro. intros zenon_H2b9 zenon_H1ab zenon_H12a zenon_H129 zenon_H128 zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H179 zenon_H17a zenon_H17b zenon_H5a zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H1ae zenon_H20 zenon_H13c zenon_H13d zenon_H13e. % 1.11/1.33 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H2ba ]. % 1.11/1.33 apply (zenon_L824_); trivial. % 1.11/1.33 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H2af | zenon_intro zenon_H43 ]. % 1.11/1.33 apply (zenon_L703_); trivial. % 1.11/1.33 apply (zenon_L186_); trivial. % 1.11/1.33 (* end of lemma zenon_L1053_ *) % 1.11/1.33 assert (zenon_L1054_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c1_1 (a1653)) -> (c0_1 (a1653)) -> (~(c3_1 (a1653))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))) -> (ndr1_0) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> False). % 1.11/1.33 do 0 intro. intros zenon_H2b9 zenon_H1ab zenon_H12a zenon_H129 zenon_H128 zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H179 zenon_H17a zenon_H17b zenon_H5a zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H11d zenon_H20 zenon_H13c zenon_H13d zenon_H13e. % 1.11/1.33 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H2ba ]. % 1.11/1.33 apply (zenon_L824_); trivial. % 1.11/1.33 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H2af | zenon_intro zenon_H43 ]. % 1.11/1.33 apply (zenon_L703_); trivial. % 1.11/1.33 apply (zenon_L361_); trivial. % 1.11/1.33 (* end of lemma zenon_L1054_ *) % 1.11/1.33 assert (zenon_L1055_ : ((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (c2_1 (a1641)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> False). % 1.11/1.33 do 0 intro. intros zenon_H15d zenon_H299 zenon_H28b zenon_H28a zenon_H289 zenon_H2b9 zenon_H1ab zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H179 zenon_H17a zenon_H17b zenon_H5a zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H13c zenon_H13d zenon_H13e. % 1.11/1.33 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 1.11/1.33 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 1.11/1.33 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 1.11/1.33 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 1.11/1.33 apply (zenon_L355_); trivial. % 1.11/1.33 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 1.11/1.33 apply (zenon_L1053_); trivial. % 1.11/1.33 apply (zenon_L1054_); trivial. % 1.11/1.33 (* end of lemma zenon_L1055_ *) % 1.11/1.33 assert (zenon_L1056_ : ((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> False). % 1.11/1.33 do 0 intro. intros zenon_H155 zenon_H299 zenon_H28b zenon_H28a zenon_H289 zenon_H2ce zenon_H276 zenon_H26e zenon_H26c zenon_H2b2 zenon_H2b1 zenon_H2b0. % 1.11/1.33 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.11/1.33 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.11/1.33 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.11/1.33 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 1.11/1.33 apply (zenon_L355_); trivial. % 1.11/1.33 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 1.11/1.33 apply (zenon_L947_); trivial. % 1.11/1.33 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H251 | zenon_intro zenon_H2ba ]. % 1.11/1.33 apply (zenon_L313_); trivial. % 1.11/1.33 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H2af | zenon_intro zenon_H43 ]. % 1.11/1.33 apply (zenon_L703_); trivial. % 1.11/1.33 apply (zenon_L361_); trivial. % 1.11/1.33 (* end of lemma zenon_L1056_ *) % 1.11/1.33 assert (zenon_L1057_ : ((ndr1_0)/\((~(c0_1 (a1644)))/\((~(c1_1 (a1644)))/\(~(c3_1 (a1644)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a1689))/\((c1_1 (a1689))/\(~(c2_1 (a1689))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a1635))/\((c1_1 (a1635))/\(c2_1 (a1635)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a1712))/\((c2_1 (a1712))/\(c3_1 (a1712)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/((hskp20)\/(hskp21))) -> ((hskp27)\/((hskp20)\/(hskp30))) -> (~(hskp7)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> False). % 1.11/1.33 do 0 intro. intros zenon_H158 zenon_H159 zenon_H299 zenon_H28b zenon_H28a zenon_H289 zenon_Hf2 zenon_Heb zenon_He8 zenon_Hd0 zenon_Hcf zenon_H170 zenon_Hb2 zenon_H95 zenon_H9 zenon_H172 zenon_H61 zenon_Hce zenon_H26c zenon_H26e zenon_H276 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2ce zenon_H68. % 1.11/1.33 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H20. zenon_intro zenon_H15b. % 1.11/1.33 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_Hd5. zenon_intro zenon_H15c. % 1.11/1.33 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_Hd6. zenon_intro zenon_Hd7. % 1.11/1.33 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.11/1.33 apply (zenon_L946_); trivial. % 1.11/1.33 apply (zenon_L1056_); trivial. % 1.11/1.33 (* end of lemma zenon_L1057_ *) % 1.11/1.33 assert (zenon_L1058_ : ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((hskp10)\/((hskp18)\/(hskp11))) -> (~(hskp10)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> False). % 1.11/1.33 do 0 intro. intros zenon_H159 zenon_H299 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2ce zenon_H28b zenon_H28a zenon_H289 zenon_H18b zenon_H189 zenon_H280 zenon_H161 zenon_H163 zenon_H162 zenon_H276 zenon_H26e zenon_H26c zenon_H132 zenon_H136. % 1.11/1.33 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.11/1.33 apply (zenon_L961_); trivial. % 1.11/1.33 apply (zenon_L1056_); trivial. % 1.11/1.33 (* end of lemma zenon_L1058_ *) % 1.11/1.33 assert (zenon_L1059_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (c3_1 (a1637)) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp25)) -> False). % 1.11/1.33 do 0 intro. intros zenon_H299 zenon_H28b zenon_H28a zenon_H289 zenon_H13e zenon_H13d zenon_H13c zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2ce zenon_H265 zenon_H276 zenon_H26c zenon_H26e zenon_H20 zenon_H3f zenon_H19. % 1.11/1.33 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 1.11/1.33 apply (zenon_L355_); trivial. % 1.11/1.33 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 1.11/1.33 apply (zenon_L947_); trivial. % 1.11/1.33 apply (zenon_L663_); trivial. % 1.11/1.33 (* end of lemma zenon_L1059_ *) % 1.11/1.33 assert (zenon_L1060_ : ((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> False). % 1.11/1.33 do 0 intro. intros zenon_H15d zenon_H118 zenon_H1ab zenon_H289 zenon_H28a zenon_H28b zenon_H2ce zenon_H13e zenon_H13d zenon_H13c zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H276 zenon_H26e zenon_H26c zenon_H27b zenon_H299. % 1.11/1.33 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 1.11/1.33 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 1.11/1.33 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 1.11/1.33 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 1.11/1.33 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 1.11/1.33 apply (zenon_L355_); trivial. % 1.11/1.33 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 1.11/1.33 apply (zenon_L947_); trivial. % 1.11/1.33 apply (zenon_L312_); trivial. % 1.11/1.33 apply (zenon_L136_); trivial. % 1.11/1.33 (* end of lemma zenon_L1060_ *) % 1.11/1.33 assert (zenon_L1061_ : ((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> False). % 1.19/1.33 do 0 intro. intros zenon_H155 zenon_H15a zenon_H118 zenon_H1ab zenon_H27b zenon_H34 zenon_H1c6 zenon_H192 zenon_H191 zenon_H1a4 zenon_H26c zenon_H26e zenon_H276 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2ce zenon_H1d zenon_H61 zenon_H242 zenon_H5a zenon_H1ed zenon_H2c5 zenon_H2bb zenon_H289 zenon_H28a zenon_H28b zenon_H265 zenon_H299 zenon_H65. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.19/1.33 apply (zenon_L954_); trivial. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H20. zenon_intro zenon_H62. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H38. zenon_intro zenon_H63. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H36. zenon_intro zenon_H37. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.19/1.33 apply (zenon_L1059_); trivial. % 1.19/1.33 apply (zenon_L715_); trivial. % 1.19/1.33 apply (zenon_L322_); trivial. % 1.19/1.33 apply (zenon_L1060_); trivial. % 1.19/1.33 (* end of lemma zenon_L1061_ *) % 1.19/1.33 assert (zenon_L1062_ : ((ndr1_0)/\((c0_1 (a1648))/\((c2_1 (a1648))/\(~(c3_1 (a1648)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> (~(c3_1 (a1644))) -> (~(c1_1 (a1644))) -> (~(c0_1 (a1644))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> False). % 1.19/1.33 do 0 intro. intros zenon_H1a1 zenon_H159 zenon_H1ab zenon_H1c6 zenon_H2ce zenon_H61 zenon_H242 zenon_H5a zenon_H1ed zenon_H2bb zenon_H289 zenon_H28a zenon_H28b zenon_H265 zenon_H299 zenon_H117 zenon_Heb zenon_He8 zenon_H259 zenon_Hd7 zenon_Hd6 zenon_Hd5 zenon_H34 zenon_H30 zenon_H1d zenon_H280 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H276 zenon_H26e zenon_H26c zenon_H2c5 zenon_H65 zenon_H132 zenon_H27b zenon_H118 zenon_H15a. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.33 apply (zenon_L952_); trivial. % 1.19/1.33 apply (zenon_L1061_); trivial. % 1.19/1.33 (* end of lemma zenon_L1062_ *) % 1.19/1.33 assert (zenon_L1063_ : ((ndr1_0)/\((c0_1 (a1642))/\((~(c2_1 (a1642)))/\(~(c3_1 (a1642)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a1644)))/\((~(c1_1 (a1644)))/\(~(c3_1 (a1644))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((hskp10)\/((hskp18)\/(hskp11))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1648))/\((c2_1 (a1648))/\(~(c3_1 (a1648))))))) -> False). % 1.19/1.33 do 0 intro. intros zenon_H29b zenon_H2d2 zenon_Heb zenon_He8 zenon_H259 zenon_H159 zenon_H299 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2ce zenon_H28b zenon_H28a zenon_H289 zenon_H18b zenon_H280 zenon_H276 zenon_H26e zenon_H26c zenon_H132 zenon_H136 zenon_H15a zenon_H118 zenon_H27b zenon_H65 zenon_H286 zenon_H1d zenon_H30 zenon_H34 zenon_H107 zenon_H105 zenon_H2a9 zenon_H3 zenon_Hce zenon_H117 zenon_H265 zenon_H2bb zenon_H2c5 zenon_H1ed zenon_H5a zenon_H242 zenon_H61 zenon_H1c6 zenon_H1ab zenon_H224. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H20. zenon_intro zenon_H29d. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H163. zenon_intro zenon_H29e. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H161. zenon_intro zenon_H162. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_Hd | zenon_intro zenon_H158 ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.33 apply (zenon_L1058_); trivial. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.33 apply (zenon_L963_); trivial. % 1.19/1.33 apply (zenon_L1061_); trivial. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H20. zenon_intro zenon_H15b. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_Hd5. zenon_intro zenon_H15c. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_Hd6. zenon_intro zenon_Hd7. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.33 apply (zenon_L1058_); trivial. % 1.19/1.33 apply (zenon_L1062_); trivial. % 1.19/1.33 (* end of lemma zenon_L1063_ *) % 1.19/1.33 assert (zenon_L1064_ : ((ndr1_0)/\((~(c0_1 (a1644)))/\((~(c1_1 (a1644)))/\(~(c3_1 (a1644)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1648))/\((c2_1 (a1648))/\(~(c3_1 (a1648))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658))))))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> False). % 1.19/1.33 do 0 intro. intros zenon_H158 zenon_H224 zenon_H1ab zenon_H1c6 zenon_H265 zenon_H15a zenon_H118 zenon_H27b zenon_H132 zenon_Hf0 zenon_H68 zenon_H2ce zenon_H34 zenon_H30 zenon_H1d zenon_H2c5 zenon_H26c zenon_H26e zenon_H276 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H280 zenon_H170 zenon_H2bb zenon_H5a zenon_H1ed zenon_H242 zenon_H61 zenon_H65 zenon_H1d1 zenon_H84 zenon_H83 zenon_H82 zenon_He8 zenon_Heb zenon_H259 zenon_H117 zenon_H289 zenon_H28a zenon_H28b zenon_H299 zenon_H159. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H20. zenon_intro zenon_H15b. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_Hd5. zenon_intro zenon_H15c. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_Hd6. zenon_intro zenon_Hd7. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.33 apply (zenon_L973_); trivial. % 1.19/1.33 apply (zenon_L1056_); trivial. % 1.19/1.33 apply (zenon_L1062_); trivial. % 1.19/1.33 (* end of lemma zenon_L1064_ *) % 1.19/1.33 assert (zenon_L1065_ : ((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> (~(hskp11)) -> (~(hskp13)) -> (~(hskp12)) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> False). % 1.19/1.33 do 0 intro. intros zenon_Hf5 zenon_H68 zenon_H2ce zenon_H34 zenon_H30 zenon_H2d zenon_H2b zenon_H17 zenon_H1d zenon_H2c5 zenon_H26c zenon_H26e zenon_H276 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H280 zenon_H170 zenon_H2bb zenon_H5a zenon_H17b zenon_H17a zenon_H179 zenon_H82 zenon_H83 zenon_H84 zenon_H1ed zenon_He8 zenon_Heb zenon_H242 zenon_H61 zenon_H65. % 1.19/1.33 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_H20. zenon_intro zenon_Hf6. % 1.19/1.33 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H79. zenon_intro zenon_Hf7. % 1.19/1.33 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H7a. zenon_intro zenon_H78. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.19/1.33 apply (zenon_L21_); trivial. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H20. zenon_intro zenon_H62. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H38. zenon_intro zenon_H63. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H36. zenon_intro zenon_H37. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.19/1.33 apply (zenon_L972_); trivial. % 1.19/1.33 apply (zenon_L774_); trivial. % 1.19/1.33 apply (zenon_L945_); trivial. % 1.19/1.33 (* end of lemma zenon_L1065_ *) % 1.19/1.33 assert (zenon_L1066_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> (~(hskp11)) -> (~(hskp13)) -> (~(hskp12)) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c2_1 (a1641)) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> False). % 1.19/1.33 do 0 intro. intros zenon_Hf0 zenon_H68 zenon_H2ce zenon_H2c5 zenon_H26c zenon_H26e zenon_H276 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H280 zenon_H170 zenon_H2bb zenon_H1ed zenon_H242 zenon_H61 zenon_H34 zenon_H30 zenon_H2d zenon_H2b zenon_H17 zenon_H1d zenon_H5a zenon_H17b zenon_H17a zenon_H179 zenon_H1d1 zenon_H189 zenon_H84 zenon_H83 zenon_H82 zenon_He8 zenon_Heb zenon_H65. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 1.19/1.33 apply (zenon_L143_); trivial. % 1.19/1.33 apply (zenon_L1065_); trivial. % 1.19/1.33 (* end of lemma zenon_L1066_ *) % 1.19/1.33 assert (zenon_L1067_ : ((ndr1_0)/\((c0_1 (a1648))/\((c2_1 (a1648))/\(~(c3_1 (a1648)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> (~(hskp3)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> (~(hskp7)) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((hskp7)\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/((hskp13)\/(hskp11))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> False). % 1.19/1.33 do 0 intro. intros zenon_H1a1 zenon_H159 zenon_H1ab zenon_H1c6 zenon_H2ce zenon_H61 zenon_H242 zenon_H5a zenon_H1ed zenon_H2bb zenon_H289 zenon_H28a zenon_H28b zenon_H265 zenon_H299 zenon_H117 zenon_Hf1 zenon_H107 zenon_H105 zenon_H8d zenon_H84 zenon_H83 zenon_H82 zenon_H9 zenon_H18d zenon_H18f zenon_Hce zenon_H34 zenon_H30 zenon_H1d zenon_H280 zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H276 zenon_H26e zenon_H26c zenon_H2c5 zenon_H65 zenon_H132 zenon_H27b zenon_H118 zenon_H15a. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.33 apply (zenon_L993_); trivial. % 1.19/1.33 apply (zenon_L1061_); trivial. % 1.19/1.33 (* end of lemma zenon_L1067_ *) % 1.19/1.33 assert (zenon_L1068_ : ((ndr1_0)/\((c1_1 (a1643))/\((~(c2_1 (a1643)))/\(~(c3_1 (a1643)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a1648))/\((c2_1 (a1648))/\(~(c3_1 (a1648))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((hskp12)\/((hskp25)\/(hskp24))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a1701))/\((~(c0_1 (a1701)))/\(~(c1_1 (a1701))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> ((hskp10)\/((hskp18)\/(hskp11))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a1680))/\((~(c0_1 (a1680)))/\(~(c2_1 (a1680))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> False). % 1.19/1.33 do 0 intro. intros zenon_H223 zenon_H224 zenon_H1ab zenon_H61 zenon_H242 zenon_H5a zenon_H1ed zenon_H2bb zenon_H265 zenon_H34 zenon_H1c6 zenon_H1d zenon_H2c5 zenon_H65 zenon_H15a zenon_H118 zenon_H280 zenon_H18b zenon_H289 zenon_H28a zenon_H28b zenon_H132 zenon_H26c zenon_H26e zenon_H276 zenon_H27b zenon_H299 zenon_H136 zenon_H2ce zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H159. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H20. zenon_intro zenon_H225. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H1b0. zenon_intro zenon_H226. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_H1af. zenon_intro zenon_H1ad. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.33 apply (zenon_L651_); trivial. % 1.19/1.33 apply (zenon_L1056_); trivial. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.19/1.33 apply (zenon_L656_); trivial. % 1.19/1.33 apply (zenon_L950_); trivial. % 1.19/1.33 apply (zenon_L314_); trivial. % 1.19/1.33 apply (zenon_L315_); trivial. % 1.19/1.33 apply (zenon_L1061_); trivial. % 1.19/1.33 (* end of lemma zenon_L1068_ *) % 1.19/1.33 assert (zenon_L1069_ : ((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> (~(hskp11)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (~(c0_1 (a1641))) -> (~(c3_1 (a1641))) -> (~(c3_1 (a1642))) -> (c0_1 (a1642)) -> (~(c2_1 (a1642))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp3))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(c2_1 (a1658))) -> (c1_1 (a1658)) -> (c3_1 (a1658)) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> False). % 1.19/1.33 do 0 intro. intros zenon_Hf8 zenon_Hce zenon_Heb zenon_He8 zenon_H26c zenon_H26e zenon_H276 zenon_H2d zenon_H259 zenon_H24f zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H179 zenon_H17a zenon_H162 zenon_H163 zenon_H161 zenon_H150 zenon_Hca zenon_Hfc zenon_Hfd zenon_Hfe zenon_H105 zenon_H107. % 1.19/1.33 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_H20. zenon_intro zenon_Hf9. % 1.19/1.33 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H9a. zenon_intro zenon_Hfa. % 1.19/1.33 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_H98. zenon_intro zenon_H99. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.19/1.33 apply (zenon_L59_); trivial. % 1.19/1.33 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H20. zenon_intro zenon_Hcb. % 1.19/1.33 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc1. zenon_intro zenon_Hcc. % 1.19/1.33 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc2. zenon_intro zenon_Hc0. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hee ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H97 | zenon_intro zenon_Hcd ]. % 1.19/1.33 apply (zenon_L43_); trivial. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H69 | zenon_intro zenon_Ha2 ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H97 | zenon_intro zenon_H250 ]. % 1.19/1.33 apply (zenon_L43_); trivial. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H127 | zenon_intro zenon_H244 ]. % 1.19/1.33 apply (zenon_L839_); trivial. % 1.19/1.33 apply (zenon_L721_); trivial. % 1.19/1.33 apply (zenon_L49_); trivial. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_Hde | zenon_intro zenon_He9 ]. % 1.19/1.33 apply (zenon_L339_); trivial. % 1.19/1.33 exact (zenon_He8 zenon_He9). % 1.19/1.33 (* end of lemma zenon_L1069_ *) % 1.19/1.33 assert (zenon_L1070_ : ((ndr1_0)/\((c1_1 (a1658))/\((c3_1 (a1658))/\(~(c2_1 (a1658)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c1_1 X49))\/(~(c3_1 X49))))))\/((hskp21)\/(hskp3))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(c3_1 X44)))))\/(hskp3))) -> (~(c2_1 (a1642))) -> (c0_1 (a1642)) -> (~(c3_1 (a1642))) -> (~(c3_1 (a1641))) -> (~(c0_1 (a1641))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c3_1 X27))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c2_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a1691))/\((c3_1 (a1691))/\(~(c1_1 (a1691))))))) -> False). % 1.19/1.33 do 0 intro. intros zenon_H114 zenon_Hf1 zenon_H107 zenon_H105 zenon_Hca zenon_H150 zenon_H161 zenon_H163 zenon_H162 zenon_H17a zenon_H179 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H24f zenon_H82 zenon_H83 zenon_H84 zenon_H8d zenon_H259 zenon_H2d zenon_H276 zenon_H26e zenon_H26c zenon_He8 zenon_Heb zenon_Hce. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H20. zenon_intro zenon_H115. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_Hfd. zenon_intro zenon_H116. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hfe. zenon_intro zenon_Hfc. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.19/1.33 apply (zenon_L59_); trivial. % 1.19/1.33 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H20. zenon_intro zenon_Hcb. % 1.19/1.33 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc1. zenon_intro zenon_Hcc. % 1.19/1.33 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc2. zenon_intro zenon_Hc0. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hee ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H97 | zenon_intro zenon_Hcd ]. % 1.19/1.33 apply (zenon_L167_); trivial. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H69 | zenon_intro zenon_Ha2 ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H97 | zenon_intro zenon_H250 ]. % 1.19/1.33 apply (zenon_L167_); trivial. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H127 | zenon_intro zenon_H244 ]. % 1.19/1.33 apply (zenon_L839_); trivial. % 1.19/1.33 apply (zenon_L721_); trivial. % 1.19/1.33 apply (zenon_L49_); trivial. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_Hde | zenon_intro zenon_He9 ]. % 1.19/1.33 apply (zenon_L339_); trivial. % 1.19/1.33 exact (zenon_He8 zenon_He9). % 1.19/1.33 apply (zenon_L1069_); trivial. % 1.19/1.33 (* end of lemma zenon_L1070_ *) % 1.19/1.33 assert (zenon_L1071_ : ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp5))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))) -> (~(c0_1 (a1637))) -> (c0_1 (a1667)) -> (c2_1 (a1667)) -> (~(c1_1 (a1667))) -> (ndr1_0) -> (forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))) -> (~(hskp5)) -> False). % 1.19/1.33 do 0 intro. intros zenon_H2a9 zenon_H276 zenon_H26e zenon_H11d zenon_H26c zenon_H79 zenon_H7a zenon_H78 zenon_H20 zenon_H1c3 zenon_H3. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H2a9); [ zenon_intro zenon_H275 | zenon_intro zenon_H2aa ]. % 1.19/1.33 apply (zenon_L311_); trivial. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H2aa); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H4 ]. % 1.19/1.33 apply (zenon_L132_); trivial. % 1.19/1.33 exact (zenon_H3 zenon_H4). % 1.19/1.33 (* end of lemma zenon_L1071_ *) % 1.19/1.33 assert (zenon_L1072_ : ((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp5))) -> (~(hskp5)) -> (c0_1 (a1667)) -> (c2_1 (a1667)) -> (~(c1_1 (a1667))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (~(hskp12)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> False). % 1.19/1.33 do 0 intro. intros zenon_H59 zenon_H242 zenon_H299 zenon_H1ed zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H2a9 zenon_H3 zenon_H79 zenon_H7a zenon_H78 zenon_H1c6 zenon_H26c zenon_H26e zenon_H276 zenon_H13c zenon_H13d zenon_H13e zenon_H2ce zenon_H28b zenon_H28a zenon_H289 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H17 zenon_H2bb. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 1.19/1.33 apply (zenon_L706_); trivial. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H20. zenon_intro zenon_H240. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H236. zenon_intro zenon_H241. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H237. zenon_intro zenon_H238. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 1.19/1.33 apply (zenon_L355_); trivial. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 1.19/1.33 apply (zenon_L947_); trivial. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1c7 ]. % 1.19/1.33 apply (zenon_L947_); trivial. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H21 | zenon_intro zenon_H1c3 ]. % 1.19/1.33 apply (zenon_L498_); trivial. % 1.19/1.33 apply (zenon_L1071_); trivial. % 1.19/1.33 (* end of lemma zenon_L1072_ *) % 1.19/1.33 assert (zenon_L1073_ : ((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> (~(c2_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c0_1 (a1636))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp5))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (c0_1 (a1667)) -> (c2_1 (a1667)) -> (~(c1_1 (a1667))) -> (~(hskp5)) -> False). % 1.19/1.33 do 0 intro. intros zenon_H2f zenon_H299 zenon_H28b zenon_H28a zenon_H289 zenon_H1c6 zenon_H13e zenon_H13d zenon_H13c zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2ce zenon_H2a9 zenon_H276 zenon_H26e zenon_H26c zenon_H79 zenon_H7a zenon_H78 zenon_H3. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H20. zenon_intro zenon_H31. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H23. zenon_intro zenon_H32. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H24. zenon_intro zenon_H22. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 1.19/1.33 apply (zenon_L355_); trivial. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 1.19/1.33 apply (zenon_L947_); trivial. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1c7 ]. % 1.19/1.33 apply (zenon_L947_); trivial. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H21 | zenon_intro zenon_H1c3 ]. % 1.19/1.33 apply (zenon_L17_); trivial. % 1.19/1.33 apply (zenon_L1071_); trivial. % 1.19/1.33 (* end of lemma zenon_L1073_ *) % 1.19/1.33 assert (zenon_L1074_ : ((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/(hskp5))) -> (~(hskp5)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> False). % 1.19/1.33 do 0 intro. intros zenon_H155 zenon_H15a zenon_H118 zenon_H1ab zenon_H27b zenon_H1d1 zenon_H189 zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H61 zenon_H242 zenon_H1ed zenon_H2a9 zenon_H3 zenon_H1c6 zenon_H2bb zenon_H289 zenon_H28a zenon_H28b zenon_H2ce zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H276 zenon_H26e zenon_H26c zenon_H265 zenon_H299 zenon_H34 zenon_Hf0. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 1.19/1.33 apply (zenon_L159_); trivial. % 1.19/1.33 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_H20. zenon_intro zenon_Hf6. % 1.19/1.33 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H79. zenon_intro zenon_Hf7. % 1.19/1.33 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H7a. zenon_intro zenon_H78. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.19/1.33 apply (zenon_L1059_); trivial. % 1.19/1.33 apply (zenon_L1072_); trivial. % 1.19/1.33 apply (zenon_L1073_); trivial. % 1.19/1.33 apply (zenon_L1060_); trivial. % 1.19/1.33 (* end of lemma zenon_L1074_ *) % 1.19/1.33 assert (zenon_L1075_ : ((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (c2_1 (a1648)) -> (c0_1 (a1648)) -> (~(c3_1 (a1648))) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> (~(c0_1 (a1650))) -> (~(c3_1 (a1650))) -> (c1_1 (a1650)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (~(hskp12)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> False). % 1.19/1.33 do 0 intro. intros zenon_H59 zenon_H242 zenon_H1c6 zenon_H192 zenon_H191 zenon_H1a4 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1ed zenon_H26c zenon_H26e zenon_H276 zenon_H13c zenon_H13d zenon_H13e zenon_H2ce zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H17 zenon_H2bb. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 1.19/1.33 apply (zenon_L706_); trivial. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H20. zenon_intro zenon_H240. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H236. zenon_intro zenon_H241. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H237. zenon_intro zenon_H238. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1c7 ]. % 1.19/1.33 apply (zenon_L947_); trivial. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H21 | zenon_intro zenon_H1c3 ]. % 1.19/1.33 apply (zenon_L498_); trivial. % 1.19/1.33 apply (zenon_L191_); trivial. % 1.19/1.33 (* end of lemma zenon_L1075_ *) % 1.19/1.33 assert (zenon_L1076_ : ((ndr1_0)/\((c0_1 (a1648))/\((c2_1 (a1648))/\(~(c3_1 (a1648)))))) -> ((~(hskp11))\/((ndr1_0)/\((c1_1 (a1650))/\((~(c0_1 (a1650)))/\(~(c3_1 (a1650))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c1_1 X43))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a1709))/\((c2_1 (a1709))/\(~(c0_1 (a1709))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> False). % 1.19/1.33 do 0 intro. intros zenon_H1a1 zenon_H159 zenon_H15a zenon_H1ab zenon_H61 zenon_H242 zenon_H1c6 zenon_H1ed zenon_H2bb zenon_H289 zenon_H28a zenon_H28b zenon_H2ce zenon_H265 zenon_H299 zenon_H34 zenon_H280 zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H276 zenon_H26e zenon_H26c zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H2c5. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.33 apply (zenon_L989_); trivial. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.19/1.33 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.19/1.33 apply (zenon_L1059_); trivial. % 1.19/1.33 apply (zenon_L1075_); trivial. % 1.19/1.33 apply (zenon_L953_); trivial. % 1.19/1.33 apply (zenon_L819_); trivial. % 1.19/1.33 (* end of lemma zenon_L1076_ *) % 1.19/1.33 assert (zenon_L1077_ : ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))) -> (~(hskp19)) -> (~(hskp28)) -> (~(c1_1 (a1667))) -> (c2_1 (a1667)) -> (c0_1 (a1667)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (ndr1_0) -> (~(hskp11)) -> False). % 1.19/1.33 do 0 intro. intros zenon_H2c5 zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H69 zenon_H13 zenon_H3f zenon_H78 zenon_H7a zenon_H79 zenon_H170 zenon_H280 zenon_H276 zenon_H26e zenon_H26c zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H20 zenon_H2d. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H35 | zenon_intro zenon_H2c6 ]. % 1.19/1.33 apply (zenon_L168_); trivial. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H244 ]. % 1.19/1.33 apply (zenon_L801_); trivial. % 1.19/1.33 apply (zenon_L949_); trivial. % 1.19/1.33 (* end of lemma zenon_L1077_ *) % 1.19/1.33 assert (zenon_L1078_ : ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> (c0_1 (a1667)) -> (c2_1 (a1667)) -> (~(c1_1 (a1667))) -> (forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (ndr1_0) -> (~(hskp11)) -> False). % 1.19/1.33 do 0 intro. intros zenon_H2c5 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H79 zenon_H7a zenon_H78 zenon_Ha2 zenon_H280 zenon_H276 zenon_H26e zenon_H26c zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H20 zenon_H2d. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H35 | zenon_intro zenon_H2c6 ]. % 1.19/1.33 apply (zenon_L984_); trivial. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H244 ]. % 1.19/1.33 apply (zenon_L132_); trivial. % 1.19/1.33 apply (zenon_L949_); trivial. % 1.19/1.33 (* end of lemma zenon_L1078_ *) % 1.19/1.33 assert (zenon_L1079_ : ((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> (c0_1 (a1667)) -> (c2_1 (a1667)) -> (~(c1_1 (a1667))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> (~(hskp12)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> False). % 1.19/1.33 do 0 intro. intros zenon_Hf8 zenon_H68 zenon_H2ce zenon_Hca zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H170 zenon_H79 zenon_H7a zenon_H78 zenon_H280 zenon_H2d zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H276 zenon_H26e zenon_H26c zenon_H2c5 zenon_H2bb zenon_H17 zenon_H5a zenon_H1ed zenon_H242 zenon_H61. % 1.19/1.33 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_H20. zenon_intro zenon_Hf9. % 1.19/1.33 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H9a. zenon_intro zenon_Hfa. % 1.19/1.33 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_H98. zenon_intro zenon_H99. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H97 | zenon_intro zenon_Hcd ]. % 1.19/1.33 apply (zenon_L43_); trivial. % 1.19/1.33 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H69 | zenon_intro zenon_Ha2 ]. % 1.19/1.33 apply (zenon_L1077_); trivial. % 1.19/1.33 apply (zenon_L1078_); trivial. % 1.19/1.33 apply (zenon_L986_); trivial. % 1.19/1.33 apply (zenon_L945_); trivial. % 1.19/1.33 (* end of lemma zenon_L1079_ *) % 1.19/1.33 assert (zenon_L1080_ : ((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667)))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> (~(hskp12)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> (~(c2_1 (a1640))) -> (c0_1 (a1640)) -> (c3_1 (a1640)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> False). % 1.19/1.34 do 0 intro. intros zenon_Hf5 zenon_Hf1 zenon_H68 zenon_H2ce zenon_Hca zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H170 zenon_H280 zenon_H2d zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H276 zenon_H26e zenon_H26c zenon_H2c5 zenon_H2bb zenon_H17 zenon_H5a zenon_H1ed zenon_H242 zenon_H61 zenon_H82 zenon_H83 zenon_H84 zenon_H8d. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_H20. zenon_intro zenon_Hf6. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H79. zenon_intro zenon_Hf7. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H7a. zenon_intro zenon_H78. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 1.19/1.34 apply (zenon_L38_); trivial. % 1.19/1.34 apply (zenon_L1079_); trivial. % 1.19/1.34 (* end of lemma zenon_L1080_ *) % 1.19/1.34 assert (zenon_L1081_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a1653))/\((c1_1 (a1653))/\(~(c3_1 (a1653))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a1664))/\((~(c1_1 (a1664)))/\(~(c2_1 (a1664))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c2_1 X28))\/(~(c3_1 X28))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c3_1 X11)\/((~(c0_1 X11))\/(~(c1_1 X11))))))\/(hskp11))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((hskp16)\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a1639)) -> (~(c2_1 (a1639))) -> (~(c1_1 (a1639))) -> (ndr1_0) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c2_1 X40))))))\/((forall X75 : zenon_U, ((ndr1_0)->((c2_1 X75)\/((~(c0_1 X75))\/(~(c3_1 X75))))))\/(hskp17))) -> (c3_1 (a1640)) -> (c0_1 (a1640)) -> (~(c2_1 (a1640))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18))))))\/(forall X12 : zenon_U, ((ndr1_0)->((~(c0_1 X12))\/((~(c2_1 X12))\/(~(c3_1 X12)))))))) -> (~(c0_1 (a1637))) -> (c1_1 (a1637)) -> (c3_1 (a1637)) -> (~(c1_1 (a1634))) -> (c0_1 (a1634)) -> (c3_1 (a1634)) -> (~(hskp11)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp11))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9))))))\/((hskp28)\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a1682))/\((c2_1 (a1682))/\(~(c3_1 (a1682))))))) -> ((~(hskp17))\/((ndr1_0)/\((c2_1 (a1675))/\((~(c0_1 (a1675)))/\(~(c1_1 (a1675))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a1667))/\((c2_1 (a1667))/\(~(c1_1 (a1667))))))) -> False). % 1.19/1.34 do 0 intro. intros zenon_H15a zenon_H118 zenon_H27b zenon_H132 zenon_H1d1 zenon_H189 zenon_H1e2 zenon_H1e1 zenon_H1e0 zenon_H20 zenon_H8d zenon_H84 zenon_H83 zenon_H82 zenon_H61 zenon_H242 zenon_H1ed zenon_H5a zenon_H2bb zenon_H2c5 zenon_H26c zenon_H26e zenon_H276 zenon_H2b0 zenon_H2b1 zenon_H2b2 zenon_H2d zenon_H280 zenon_H170 zenon_Hca zenon_H2ce zenon_H68 zenon_Hf1 zenon_Hf0. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 1.19/1.34 apply (zenon_L159_); trivial. % 1.19/1.34 apply (zenon_L1080_); trivial. % 1.19/1.34 apply (zenon_L315_); trivial. % 1.19/1.34 (* end of lemma zenon_L1081_ *) % 1.19/1.34 assert (zenon_L1082_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a1646))/\((c2_1 (a1646))/\(c3_1 (a1646)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a1647))/\((c1_1 (a1647))/\(c3_1 (a1647)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c2_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(forall X9 : zenon_U, ((ndr1_0)->((c1_1 X9)\/((~(c2_1 X9))\/(~(c3_1 X9)))))))) -> (~(c1_1 (a1667))) -> (c2_1 (a1667)) -> (c0_1 (a1667)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c3_1 X18)\/((~(c0_1 X18))\/(~(c2_1 X18)))))))) -> (~(c1_1 (a1639))) -> (~(c2_1 (a1639))) -> (c3_1 (a1639)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c2_1 X67)\/(~(c3_1 X67))))))\/((forall X22 : zenon_U, ((ndr1_0)->((~(c0_1 X22))\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(forall X71 : zenon_U, ((ndr1_0)->((~(c0_1 X71))\/((~(c1_1 X71))\/(~(c3_1 X71)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c3_1 X15))))))\/(forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((~(c1_1 X16))\/(~(c2_1 X16))))))) -> (c2_1 (a1675)) -> (~(c1_1 (a1675))) -> (~(c0_1 (a1675))) -> (~(hskp12)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/((hskp29)\/(hskp12))) -> (ndr1_0) -> (~(c0_1 (a1636))) -> (~(c1_1 (a1636))) -> (~(c2_1 (a1636))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((~(c1_1 X38))\/(~(c3_1 X38))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c0_1 X3))\/(~(c3_1 X3))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c3_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))))) -> (c1_1 (a1650)) -> (~(c3_1 (a1650))) -> (~(c0_1 (a1650))) -> (c3_1 (a1634)) -> (c0_1 (a1634)) -> (~(c1_1 (a1634))) -> (c3_1 (a1637)) -> (c1_1 (a1637)) -> (~(c0_1 (a1637))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((hskp28)\/(hskp25))) -> (~(hskp25)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))))) -> False). % 1.19/1.34 do 0 intro. intros zenon_H61 zenon_H242 zenon_Hca zenon_H78 zenon_H7a zenon_H79 zenon_H1c6 zenon_H1e0 zenon_H1e1 zenon_H1e2 zenon_H1ed zenon_H5a zenon_H9a zenon_H99 zenon_H98 zenon_H17 zenon_H2bb zenon_H20 zenon_H289 zenon_H28a zenon_H28b zenon_H2ce zenon_H13e zenon_H13d zenon_H13c zenon_H2b2 zenon_H2b1 zenon_H2b0 zenon_H276 zenon_H26e zenon_H26c zenon_H265 zenon_H19 zenon_H299. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.19/1.34 apply (zenon_L1059_); trivial. % 1.19/1.34 apply (zenon_L1027_); trivial. % 1.19/1.34 (* end of lemma zenon_L1082_ *) % 1.19/1.34 apply NNPP. intro zenon_G. % 1.19/1.34 apply zenon_G. zenon_intro zenon_H2db. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H2dd. zenon_intro zenon_H2dc. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H2df. zenon_intro zenon_H2de. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H2e1. zenon_intro zenon_H2e0. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H2e3. zenon_intro zenon_H2e2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2e2). zenon_intro zenon_H2e5. zenon_intro zenon_H2e4. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2e4). zenon_intro zenon_H2e7. zenon_intro zenon_H2e6. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H2e9. zenon_intro zenon_H2e8. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H2eb. zenon_intro zenon_H2ea. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H2ed. zenon_intro zenon_H2ec. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H2d2. zenon_intro zenon_H2ee. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2ee). zenon_intro zenon_H224. zenon_intro zenon_H2ef. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_H159. zenon_intro zenon_H2f0. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H15a. zenon_intro zenon_H2f1. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H117. zenon_intro zenon_H2f2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_H2f4. zenon_intro zenon_H2f3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H118. zenon_intro zenon_H2f5. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2f5). zenon_intro zenon_Hf0. zenon_intro zenon_H2f6. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_Hf1. zenon_intro zenon_H2f7. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H136. zenon_intro zenon_H2f8. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H68. zenon_intro zenon_H2f9. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2f9). zenon_intro zenon_Hf2. zenon_intro zenon_H2fa. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_Hce. zenon_intro zenon_H2fb. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2fb). zenon_intro zenon_H222. zenon_intro zenon_H2fc. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2fc). zenon_intro zenon_H154. zenon_intro zenon_H2fd. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2fd). zenon_intro zenon_H65. zenon_intro zenon_H2fe. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_H34. zenon_intro zenon_H2ff. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2ff). zenon_intro zenon_H301. zenon_intro zenon_H300. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_Hd0. zenon_intro zenon_H302. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_H61. zenon_intro zenon_H303. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H303). zenon_intro zenon_H242. zenon_intro zenon_H304. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H304). zenon_intro zenon_Hcf. zenon_intro zenon_H305. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H305). zenon_intro zenon_H299. zenon_intro zenon_H306. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H306). zenon_intro zenon_H29c. zenon_intro zenon_H307. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H307). zenon_intro zenon_H309. zenon_intro zenon_H308. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H308). zenon_intro zenon_H292. zenon_intro zenon_H30a. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H30a). zenon_intro zenon_H2b9. zenon_intro zenon_H30b. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H30b). zenon_intro zenon_Heb. zenon_intro zenon_H30c. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H30c). zenon_intro zenon_Hca. zenon_intro zenon_H30d. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H30d). zenon_intro zenon_H24f. zenon_intro zenon_H30e. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_H310. zenon_intro zenon_H30f. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_H18f. zenon_intro zenon_H311. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H5a. zenon_intro zenon_H312. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H2c5. zenon_intro zenon_H313. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_H5b. zenon_intro zenon_H314. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H286. zenon_intro zenon_H315. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H41. zenon_intro zenon_H316. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H2a7. zenon_intro zenon_H317. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H1c6. zenon_intro zenon_H318. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H318). zenon_intro zenon_H25d. zenon_intro zenon_H319. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H319). zenon_intro zenon_H1bc. zenon_intro zenon_H31a. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H31a). zenon_intro zenon_H132. zenon_intro zenon_H31b. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H31b). zenon_intro zenon_H259. zenon_intro zenon_H31c. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H31c). zenon_intro zenon_H232. zenon_intro zenon_H31d. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H31d). zenon_intro zenon_H112. zenon_intro zenon_H31e. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H31e). zenon_intro zenon_H150. zenon_intro zenon_H31f. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H31f). zenon_intro zenon_H1ab. zenon_intro zenon_H320. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H320). zenon_intro zenon_H187. zenon_intro zenon_H321. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H321). zenon_intro zenon_H294. zenon_intro zenon_H322. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H322). zenon_intro zenon_H30. zenon_intro zenon_H323. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H323). zenon_intro zenon_H280. zenon_intro zenon_H324. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H324). zenon_intro zenon_H326. zenon_intro zenon_H325. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_H2ce. zenon_intro zenon_H327. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H329. zenon_intro zenon_H328. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H328). zenon_intro zenon_H2a9. zenon_intro zenon_H32a. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H32a). zenon_intro zenon_H27b. zenon_intro zenon_H32b. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H32b). zenon_intro zenon_H32d. zenon_intro zenon_H32c. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H32c). zenon_intro zenon_H75. zenon_intro zenon_H32e. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H32e). zenon_intro zenon_H330. zenon_intro zenon_H32f. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H32f). zenon_intro zenon_H1ed. zenon_intro zenon_H331. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_H1d1. zenon_intro zenon_H332. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_H25f. zenon_intro zenon_H333. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H19f. zenon_intro zenon_H334. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H8d. zenon_intro zenon_H335. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H335). zenon_intro zenon_H2bb. zenon_intro zenon_H336. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H336). zenon_intro zenon_H2cc. zenon_intro zenon_H337. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_H11b. zenon_intro zenon_H338. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_H170. zenon_intro zenon_H339. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H16c. zenon_intro zenon_H33a. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H33c. zenon_intro zenon_H33b. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H33e. zenon_intro zenon_H33d. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H33d). zenon_intro zenon_H24d. zenon_intro zenon_H33f. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H33f). zenon_intro zenon_H107. zenon_intro zenon_H340. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H340). zenon_intro zenon_H1ff. zenon_intro zenon_H341. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H341). zenon_intro zenon_H343. zenon_intro zenon_H342. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H342). zenon_intro zenon_H16a. zenon_intro zenon_H344. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H344). zenon_intro zenon_H211. zenon_intro zenon_H345. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H345). zenon_intro zenon_H139. zenon_intro zenon_H346. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H346). zenon_intro zenon_H233. zenon_intro zenon_H347. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H347). zenon_intro zenon_Hb2. zenon_intro zenon_H348. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H348). zenon_intro zenon_H34a. zenon_intro zenon_H349. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H349). zenon_intro zenon_H172. zenon_intro zenon_H34b. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H34b). zenon_intro zenon_H265. zenon_intro zenon_H34c. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H34c). zenon_intro zenon_H95. zenon_intro zenon_H34d. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H34d). zenon_intro zenon_H2ad. zenon_intro zenon_H34e. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H34e). zenon_intro zenon_H350. zenon_intro zenon_H34f. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H34f). zenon_intro zenon_H2a0. zenon_intro zenon_H351. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H351). zenon_intro zenon_H1d. zenon_intro zenon_H352. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H352). zenon_intro zenon_H354. zenon_intro zenon_H353. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H353). zenon_intro zenon_H18b. zenon_intro zenon_H355. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H355). zenon_intro zenon_H7. zenon_intro zenon_H356. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H356). zenon_intro zenon_H358. zenon_intro zenon_H357. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_H35a. zenon_intro zenon_H359. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_H15. zenon_intro zenon_H35b. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_Hf. zenon_intro zenon_H35c. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H243. zenon_intro zenon_H35d. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H35d). zenon_intro zenon_H16e. zenon_intro zenon_H1de. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1 | zenon_intro zenon_H35e ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H5 | zenon_intro zenon_H35f ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H19d | zenon_intro zenon_H360 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H105 | zenon_intro zenon_H361 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_He8 | zenon_intro zenon_H362 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H3 | zenon_intro zenon_H2cf ]. % 1.19/1.34 apply (zenon_L4_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H20. zenon_intro zenon_H2d0. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H83. zenon_intro zenon_H2d1. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2d1). zenon_intro zenon_H84. zenon_intro zenon_H82. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_Hb | zenon_intro zenon_H363 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H9 | zenon_intro zenon_H29b ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_Hd | zenon_intro zenon_H158 ]. % 1.19/1.34 apply (zenon_L8_); trivial. % 1.19/1.34 apply (zenon_L80_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H20. zenon_intro zenon_H29d. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H163. zenon_intro zenon_H29e. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H161. zenon_intro zenon_H162. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_Hd | zenon_intro zenon_H158 ]. % 1.19/1.34 apply (zenon_L87_); trivial. % 1.19/1.34 apply (zenon_L80_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_H20. zenon_intro zenon_H364. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H17b. zenon_intro zenon_H365. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H179. zenon_intro zenon_H17a. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H9 | zenon_intro zenon_H29b ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2ed); [ zenon_intro zenon_H18d | zenon_intro zenon_H223 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_Hd | zenon_intro zenon_H158 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_L102_); trivial. % 1.19/1.34 apply (zenon_L105_); trivial. % 1.19/1.34 apply (zenon_L110_); trivial. % 1.19/1.34 apply (zenon_L116_); trivial. % 1.19/1.34 apply (zenon_L124_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H20. zenon_intro zenon_H225. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H1b0. zenon_intro zenon_H226. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_H1af. zenon_intro zenon_H1ad. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_Hd | zenon_intro zenon_H158 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L127_); trivial. % 1.19/1.34 apply (zenon_L138_); trivial. % 1.19/1.34 apply (zenon_L116_); trivial. % 1.19/1.34 apply (zenon_L139_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H20. zenon_intro zenon_H29d. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H163. zenon_intro zenon_H29e. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H161. zenon_intro zenon_H162. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_Hd | zenon_intro zenon_H158 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H2b | zenon_intro zenon_H114 ]. % 1.19/1.34 apply (zenon_L144_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H20. zenon_intro zenon_H115. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_Hfd. zenon_intro zenon_H116. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hfe. zenon_intro zenon_Hfc. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H119 | zenon_intro zenon_H131 ]. % 1.19/1.34 apply (zenon_L146_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H20. zenon_intro zenon_H133. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H120. zenon_intro zenon_H134. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.19/1.34 apply (zenon_L59_); trivial. % 1.19/1.34 apply (zenon_L152_); trivial. % 1.19/1.34 apply (zenon_L155_); trivial. % 1.19/1.34 apply (zenon_L105_); trivial. % 1.19/1.34 apply (zenon_L157_); trivial. % 1.19/1.34 apply (zenon_L116_); trivial. % 1.19/1.34 apply (zenon_L124_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H362). zenon_intro zenon_H20. zenon_intro zenon_H366. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H366). zenon_intro zenon_H1e2. zenon_intro zenon_H367. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H367). zenon_intro zenon_H1e0. zenon_intro zenon_H1e1. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H3 | zenon_intro zenon_H2cf ]. % 1.19/1.34 apply (zenon_L4_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H20. zenon_intro zenon_H2d0. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H83. zenon_intro zenon_H2d1. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2d1). zenon_intro zenon_H84. zenon_intro zenon_H82. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H9 | zenon_intro zenon_H29b ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2ed); [ zenon_intro zenon_H18d | zenon_intro zenon_H223 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_L160_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L184_); trivial. % 1.19/1.34 apply (zenon_L205_); trivial. % 1.19/1.34 apply (zenon_L215_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H20. zenon_intro zenon_H29d. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H163. zenon_intro zenon_H29e. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H161. zenon_intro zenon_H162. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_L160_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L184_); trivial. % 1.19/1.34 apply (zenon_L220_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H361). zenon_intro zenon_H20. zenon_intro zenon_H368. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H368). zenon_intro zenon_H229. zenon_intro zenon_H369. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H369). zenon_intro zenon_H227. zenon_intro zenon_H228. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_He8 | zenon_intro zenon_H362 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H3 | zenon_intro zenon_H2cf ]. % 1.19/1.34 apply (zenon_L4_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H20. zenon_intro zenon_H2d0. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H83. zenon_intro zenon_H2d1. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2d1). zenon_intro zenon_H84. zenon_intro zenon_H82. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_Hb | zenon_intro zenon_H363 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H9 | zenon_intro zenon_H29b ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_Hd | zenon_intro zenon_H158 ]. % 1.19/1.34 apply (zenon_L8_); trivial. % 1.19/1.34 apply (zenon_L248_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H20. zenon_intro zenon_H29d. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H163. zenon_intro zenon_H29e. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H161. zenon_intro zenon_H162. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_Hd | zenon_intro zenon_H158 ]. % 1.19/1.34 apply (zenon_L87_); trivial. % 1.19/1.34 apply (zenon_L248_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_H20. zenon_intro zenon_H364. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H17b. zenon_intro zenon_H365. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H179. zenon_intro zenon_H17a. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H9 | zenon_intro zenon_H29b ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L252_); trivial. % 1.19/1.34 apply (zenon_L266_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L272_); trivial. % 1.19/1.34 apply (zenon_L282_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H20. zenon_intro zenon_H29d. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H163. zenon_intro zenon_H29e. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H161. zenon_intro zenon_H162. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_Hd | zenon_intro zenon_H158 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L252_); trivial. % 1.19/1.34 apply (zenon_L287_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_L292_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H119 | zenon_intro zenon_H131 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.19/1.34 apply (zenon_L11_); trivial. % 1.19/1.34 apply (zenon_L293_); trivial. % 1.19/1.34 apply (zenon_L70_); trivial. % 1.19/1.34 apply (zenon_L115_); trivial. % 1.19/1.34 apply (zenon_L301_); trivial. % 1.19/1.34 apply (zenon_L302_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H362). zenon_intro zenon_H20. zenon_intro zenon_H366. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H366). zenon_intro zenon_H1e2. zenon_intro zenon_H367. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H367). zenon_intro zenon_H1e0. zenon_intro zenon_H1e1. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H3 | zenon_intro zenon_H2cf ]. % 1.19/1.34 apply (zenon_L4_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H20. zenon_intro zenon_H2d0. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H83. zenon_intro zenon_H2d1. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2d1). zenon_intro zenon_H84. zenon_intro zenon_H82. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_L160_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L303_); trivial. % 1.19/1.34 apply (zenon_L308_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H360). zenon_intro zenon_H20. zenon_intro zenon_H36a. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_H26e. zenon_intro zenon_H36b. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_H276. zenon_intro zenon_H26c. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H105 | zenon_intro zenon_H361 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_He8 | zenon_intro zenon_H362 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H3 | zenon_intro zenon_H2cf ]. % 1.19/1.34 apply (zenon_L4_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H20. zenon_intro zenon_H2d0. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H83. zenon_intro zenon_H2d1. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2d1). zenon_intro zenon_H84. zenon_intro zenon_H82. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_Hb | zenon_intro zenon_H363 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H9 | zenon_intro zenon_H29b ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_Hd | zenon_intro zenon_H158 ]. % 1.19/1.34 apply (zenon_L8_); trivial. % 1.19/1.34 apply (zenon_L317_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H20. zenon_intro zenon_H29d. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H163. zenon_intro zenon_H29e. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H161. zenon_intro zenon_H162. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_Hd | zenon_intro zenon_H158 ]. % 1.19/1.34 apply (zenon_L87_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H20. zenon_intro zenon_H15b. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_Hd5. zenon_intro zenon_H15c. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_Hd6. zenon_intro zenon_Hd7. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L330_); trivial. % 1.19/1.34 apply (zenon_L79_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_H20. zenon_intro zenon_H364. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H17b. zenon_intro zenon_H365. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H179. zenon_intro zenon_H17a. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H9 | zenon_intro zenon_H29b ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2ed); [ zenon_intro zenon_H18d | zenon_intro zenon_H223 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L331_); trivial. % 1.19/1.34 apply (zenon_L110_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H20. zenon_intro zenon_H225. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H1b0. zenon_intro zenon_H226. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_H1af. zenon_intro zenon_H1ad. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L331_); trivial. % 1.19/1.34 apply (zenon_L138_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H20. zenon_intro zenon_H29d. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H163. zenon_intro zenon_H29e. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H161. zenon_intro zenon_H162. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_Hd | zenon_intro zenon_H158 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L336_); trivial. % 1.19/1.34 apply (zenon_L157_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H20. zenon_intro zenon_H15b. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_Hd5. zenon_intro zenon_H15c. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_Hd6. zenon_intro zenon_Hd7. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L341_); trivial. % 1.19/1.34 apply (zenon_L79_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H362). zenon_intro zenon_H20. zenon_intro zenon_H366. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H366). zenon_intro zenon_H1e2. zenon_intro zenon_H367. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H367). zenon_intro zenon_H1e0. zenon_intro zenon_H1e1. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H3 | zenon_intro zenon_H2cf ]. % 1.19/1.34 apply (zenon_L4_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H20. zenon_intro zenon_H2d0. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H83. zenon_intro zenon_H2d1. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2d1). zenon_intro zenon_H84. zenon_intro zenon_H82. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H9 | zenon_intro zenon_H29b ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2ed); [ zenon_intro zenon_H18d | zenon_intro zenon_H223 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_L342_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L343_); trivial. % 1.19/1.34 apply (zenon_L205_); trivial. % 1.19/1.34 apply (zenon_L344_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H20. zenon_intro zenon_H29d. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H163. zenon_intro zenon_H29e. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H161. zenon_intro zenon_H162. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L343_); trivial. % 1.19/1.34 apply (zenon_L220_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H361). zenon_intro zenon_H20. zenon_intro zenon_H368. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H368). zenon_intro zenon_H229. zenon_intro zenon_H369. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H369). zenon_intro zenon_H227. zenon_intro zenon_H228. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_He8 | zenon_intro zenon_H362 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H3 | zenon_intro zenon_H2cf ]. % 1.19/1.34 apply (zenon_L4_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H20. zenon_intro zenon_H2d0. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H83. zenon_intro zenon_H2d1. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2d1). zenon_intro zenon_H84. zenon_intro zenon_H82. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_Hb | zenon_intro zenon_H363 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H9 | zenon_intro zenon_H29b ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_Hd | zenon_intro zenon_H158 ]. % 1.19/1.34 apply (zenon_L8_); trivial. % 1.19/1.34 apply (zenon_L348_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H20. zenon_intro zenon_H29d. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H163. zenon_intro zenon_H29e. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H161. zenon_intro zenon_H162. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_Hd | zenon_intro zenon_H158 ]. % 1.19/1.34 apply (zenon_L87_); trivial. % 1.19/1.34 apply (zenon_L348_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_H20. zenon_intro zenon_H364. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H17b. zenon_intro zenon_H365. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H179. zenon_intro zenon_H17a. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H9 | zenon_intro zenon_H29b ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L345_); trivial. % 1.19/1.34 apply (zenon_L266_); trivial. % 1.19/1.34 apply (zenon_L349_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H20. zenon_intro zenon_H29d. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H163. zenon_intro zenon_H29e. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H161. zenon_intro zenon_H162. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_Hd | zenon_intro zenon_H158 ]. % 1.19/1.34 apply (zenon_L350_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H20. zenon_intro zenon_H15b. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_Hd5. zenon_intro zenon_H15c. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_Hd6. zenon_intro zenon_Hd7. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_L346_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L345_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_L278_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 1.19/1.34 apply (zenon_L235_); trivial. % 1.19/1.34 apply (zenon_L354_); trivial. % 1.19/1.34 apply (zenon_L122_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H362). zenon_intro zenon_H20. zenon_intro zenon_H366. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H366). zenon_intro zenon_H1e2. zenon_intro zenon_H367. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H367). zenon_intro zenon_H1e0. zenon_intro zenon_H1e1. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L345_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 1.19/1.34 apply (zenon_L159_); trivial. % 1.19/1.34 apply (zenon_L264_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L345_); trivial. % 1.19/1.34 apply (zenon_L308_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H35f). zenon_intro zenon_H20. zenon_intro zenon_H36c. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H36c). zenon_intro zenon_H289. zenon_intro zenon_H36d. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H36d). zenon_intro zenon_H28a. zenon_intro zenon_H28b. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H19d | zenon_intro zenon_H360 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H105 | zenon_intro zenon_H361 ]. % 1.19/1.34 apply (zenon_L356_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H361). zenon_intro zenon_H20. zenon_intro zenon_H368. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H368). zenon_intro zenon_H229. zenon_intro zenon_H369. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H369). zenon_intro zenon_H227. zenon_intro zenon_H228. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_He8 | zenon_intro zenon_H362 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H3 | zenon_intro zenon_H2cf ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_Hb | zenon_intro zenon_H363 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H9 | zenon_intro zenon_H29b ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2ed); [ zenon_intro zenon_H18d | zenon_intro zenon_H223 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_Hd | zenon_intro zenon_H158 ]. % 1.19/1.34 apply (zenon_L8_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H20. zenon_intro zenon_H15b. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_Hd5. zenon_intro zenon_H15c. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_Hd6. zenon_intro zenon_Hd7. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L358_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H119 | zenon_intro zenon_H131 ]. % 1.19/1.34 apply (zenon_L369_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H20. zenon_intro zenon_H133. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H120. zenon_intro zenon_H134. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.19/1.34 apply (zenon_L377_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H20. zenon_intro zenon_H66. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H45. zenon_intro zenon_H67. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H46. zenon_intro zenon_H44. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 1.19/1.34 apply (zenon_L385_); trivial. % 1.19/1.34 apply (zenon_L55_); trivial. % 1.19/1.34 apply (zenon_L387_); trivial. % 1.19/1.34 apply (zenon_L393_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H20. zenon_intro zenon_H225. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H1b0. zenon_intro zenon_H226. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_H1af. zenon_intro zenon_H1ad. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_Hd | zenon_intro zenon_H158 ]. % 1.19/1.34 apply (zenon_L8_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H20. zenon_intro zenon_H15b. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_Hd5. zenon_intro zenon_H15c. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_Hd6. zenon_intro zenon_Hd7. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L395_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H119 | zenon_intro zenon_H131 ]. % 1.19/1.34 apply (zenon_L369_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H20. zenon_intro zenon_H133. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H120. zenon_intro zenon_H134. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.19/1.34 apply (zenon_L377_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H20. zenon_intro zenon_H66. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H45. zenon_intro zenon_H67. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H46. zenon_intro zenon_H44. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 1.19/1.34 apply (zenon_L398_); trivial. % 1.19/1.34 apply (zenon_L55_); trivial. % 1.19/1.34 apply (zenon_L387_); trivial. % 1.19/1.34 apply (zenon_L393_); trivial. % 1.19/1.34 apply (zenon_L399_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_H20. zenon_intro zenon_H364. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H17b. zenon_intro zenon_H365. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H179. zenon_intro zenon_H17a. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H9 | zenon_intro zenon_H29b ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2ed); [ zenon_intro zenon_H18d | zenon_intro zenon_H223 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_Hd | zenon_intro zenon_H158 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L403_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H119 | zenon_intro zenon_H131 ]. % 1.19/1.34 apply (zenon_L406_); trivial. % 1.19/1.34 apply (zenon_L408_); trivial. % 1.19/1.34 apply (zenon_L412_); trivial. % 1.19/1.34 apply (zenon_L418_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H20. zenon_intro zenon_H15b. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_Hd5. zenon_intro zenon_H15c. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_Hd6. zenon_intro zenon_Hd7. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L358_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H119 | zenon_intro zenon_H131 ]. % 1.19/1.34 apply (zenon_L406_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H20. zenon_intro zenon_H133. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H120. zenon_intro zenon_H134. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.19/1.34 apply (zenon_L377_); trivial. % 1.19/1.34 apply (zenon_L407_); trivial. % 1.19/1.34 apply (zenon_L387_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L358_); trivial. % 1.19/1.34 apply (zenon_L417_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H20. zenon_intro zenon_H225. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H1b0. zenon_intro zenon_H226. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_H1af. zenon_intro zenon_H1ad. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_Hd | zenon_intro zenon_H158 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L403_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H119 | zenon_intro zenon_H131 ]. % 1.19/1.34 apply (zenon_L406_); trivial. % 1.19/1.34 apply (zenon_L420_); trivial. % 1.19/1.34 apply (zenon_L412_); trivial. % 1.19/1.34 apply (zenon_L418_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H20. zenon_intro zenon_H15b. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_Hd5. zenon_intro zenon_H15c. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_Hd6. zenon_intro zenon_Hd7. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L395_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H119 | zenon_intro zenon_H131 ]. % 1.19/1.34 apply (zenon_L369_); trivial. % 1.19/1.34 apply (zenon_L420_); trivial. % 1.19/1.34 apply (zenon_L387_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L395_); trivial. % 1.19/1.34 apply (zenon_L417_); trivial. % 1.19/1.34 apply (zenon_L399_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H20. zenon_intro zenon_H2d0. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H83. zenon_intro zenon_H2d1. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2d1). zenon_intro zenon_H84. zenon_intro zenon_H82. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_Hb | zenon_intro zenon_H363 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H9 | zenon_intro zenon_H29b ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_Hd | zenon_intro zenon_H158 ]. % 1.19/1.34 apply (zenon_L8_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H20. zenon_intro zenon_H15b. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_Hd5. zenon_intro zenon_H15c. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_Hd6. zenon_intro zenon_Hd7. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_L222_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.19/1.34 apply (zenon_L309_); trivial. % 1.19/1.34 apply (zenon_L271_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_L227_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H119 | zenon_intro zenon_H131 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.19/1.34 apply (zenon_L85_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H20. zenon_intro zenon_Hcb. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc1. zenon_intro zenon_Hcc. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc2. zenon_intro zenon_Hc0. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.19/1.34 apply (zenon_L423_); trivial. % 1.19/1.34 apply (zenon_L415_); trivial. % 1.19/1.34 apply (zenon_L367_); trivial. % 1.19/1.34 apply (zenon_L427_); trivial. % 1.19/1.34 apply (zenon_L428_); trivial. % 1.19/1.34 apply (zenon_L442_); trivial. % 1.19/1.34 apply (zenon_L399_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_H20. zenon_intro zenon_H364. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H17b. zenon_intro zenon_H365. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H179. zenon_intro zenon_H17a. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H9 | zenon_intro zenon_H29b ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2ed); [ zenon_intro zenon_H18d | zenon_intro zenon_H223 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_Hd | zenon_intro zenon_H158 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_L454_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L272_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H119 | zenon_intro zenon_H131 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 1.19/1.34 apply (zenon_L453_); trivial. % 1.19/1.34 apply (zenon_L277_); trivial. % 1.19/1.34 apply (zenon_L428_); trivial. % 1.19/1.34 apply (zenon_L412_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H20. zenon_intro zenon_H15b. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_Hd5. zenon_intro zenon_H15c. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_Hd6. zenon_intro zenon_Hd7. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_L222_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L272_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_L278_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.19/1.34 apply (zenon_L457_); trivial. % 1.19/1.34 apply (zenon_L415_); trivial. % 1.19/1.34 apply (zenon_L458_); trivial. % 1.19/1.34 apply (zenon_L459_); trivial. % 1.19/1.34 apply (zenon_L55_); trivial. % 1.19/1.34 apply (zenon_L427_); trivial. % 1.19/1.34 apply (zenon_L107_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H20. zenon_intro zenon_H225. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H1b0. zenon_intro zenon_H226. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_H1af. zenon_intro zenon_H1ad. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_Hd | zenon_intro zenon_H158 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_L454_); trivial. % 1.19/1.34 apply (zenon_L482_); trivial. % 1.19/1.34 apply (zenon_L494_); trivial. % 1.19/1.34 apply (zenon_L399_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H362). zenon_intro zenon_H20. zenon_intro zenon_H366. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H366). zenon_intro zenon_H1e2. zenon_intro zenon_H367. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H367). zenon_intro zenon_H1e0. zenon_intro zenon_H1e1. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H3 | zenon_intro zenon_H2cf ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_Hb | zenon_intro zenon_H363 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_L500_); trivial. % 1.19/1.34 apply (zenon_L514_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_H20. zenon_intro zenon_H364. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H17b. zenon_intro zenon_H365. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H179. zenon_intro zenon_H17a. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_L500_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_L495_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.19/1.34 apply (zenon_L509_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 1.19/1.34 apply (zenon_L497_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H20. zenon_intro zenon_H240. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H236. zenon_intro zenon_H241. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H237. zenon_intro zenon_H238. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H97 | zenon_intro zenon_H250 ]. % 1.19/1.34 apply (zenon_L516_); trivial. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H127 | zenon_intro zenon_H244 ]. % 1.19/1.34 apply (zenon_L69_); trivial. % 1.19/1.34 apply (zenon_L517_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H20. zenon_intro zenon_H31. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H23. zenon_intro zenon_H32. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H24. zenon_intro zenon_H22. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.19/1.34 apply (zenon_L520_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H20. zenon_intro zenon_H5c. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H4e. zenon_intro zenon_H5d. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H4f. zenon_intro zenon_H5e. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 1.19/1.34 apply (zenon_L497_); trivial. % 1.19/1.34 apply (zenon_L519_); trivial. % 1.19/1.34 apply (zenon_L525_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H20. zenon_intro zenon_H2d0. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H83. zenon_intro zenon_H2d1. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2d1). zenon_intro zenon_H84. zenon_intro zenon_H82. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_L160_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L303_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.19/1.34 apply (zenon_L527_); trivial. % 1.19/1.34 apply (zenon_L415_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H360). zenon_intro zenon_H20. zenon_intro zenon_H36a. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_H26e. zenon_intro zenon_H36b. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_H276. zenon_intro zenon_H26c. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H105 | zenon_intro zenon_H361 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_He8 | zenon_intro zenon_H362 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H3 | zenon_intro zenon_H2cf ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_Hb | zenon_intro zenon_H363 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H9 | zenon_intro zenon_H29b ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_Hd | zenon_intro zenon_H158 ]. % 1.19/1.34 apply (zenon_L8_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H20. zenon_intro zenon_H15b. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_Hd5. zenon_intro zenon_H15c. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_Hd6. zenon_intro zenon_Hd7. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L316_); trivial. % 1.19/1.34 apply (zenon_L541_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H20. zenon_intro zenon_H29d. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H163. zenon_intro zenon_H29e. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H161. zenon_intro zenon_H162. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H2b | zenon_intro zenon_H114 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H119 | zenon_intro zenon_H131 ]. % 1.19/1.34 apply (zenon_L544_); trivial. % 1.19/1.34 apply (zenon_L327_); trivial. % 1.19/1.34 apply (zenon_L545_); trivial. % 1.19/1.34 apply (zenon_L315_); trivial. % 1.19/1.34 apply (zenon_L546_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_H20. zenon_intro zenon_H364. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H17b. zenon_intro zenon_H365. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H179. zenon_intro zenon_H17a. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H9 | zenon_intro zenon_H29b ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L331_); trivial. % 1.19/1.34 apply (zenon_L541_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H20. zenon_intro zenon_H29d. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H163. zenon_intro zenon_H29e. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H161. zenon_intro zenon_H162. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H2b | zenon_intro zenon_H114 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.19/1.34 apply (zenon_L338_); trivial. % 1.19/1.34 apply (zenon_L543_); trivial. % 1.19/1.34 apply (zenon_L97_); trivial. % 1.19/1.34 apply (zenon_L314_); trivial. % 1.19/1.34 apply (zenon_L545_); trivial. % 1.19/1.34 apply (zenon_L315_); trivial. % 1.19/1.34 apply (zenon_L546_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H20. zenon_intro zenon_H2d0. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H83. zenon_intro zenon_H2d1. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2d1). zenon_intro zenon_H84. zenon_intro zenon_H82. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_Hb | zenon_intro zenon_H363 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H9 | zenon_intro zenon_H29b ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2ed); [ zenon_intro zenon_H18d | zenon_intro zenon_H223 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_Hd | zenon_intro zenon_H158 ]. % 1.19/1.34 apply (zenon_L8_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H20. zenon_intro zenon_H15b. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_Hd5. zenon_intro zenon_H15c. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_Hd6. zenon_intro zenon_Hd7. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_L547_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H2b | zenon_intro zenon_H114 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.19/1.34 apply (zenon_L309_); trivial. % 1.19/1.34 apply (zenon_L548_); trivial. % 1.19/1.34 apply (zenon_L107_); trivial. % 1.19/1.34 apply (zenon_L549_); trivial. % 1.19/1.34 apply (zenon_L315_); trivial. % 1.19/1.34 apply (zenon_L562_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H20. zenon_intro zenon_H225. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H1b0. zenon_intro zenon_H226. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_H1af. zenon_intro zenon_H1ad. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_Hd | zenon_intro zenon_H158 ]. % 1.19/1.34 apply (zenon_L8_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H20. zenon_intro zenon_H15b. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_Hd5. zenon_intro zenon_H15c. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_Hd6. zenon_intro zenon_Hd7. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L569_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 1.19/1.34 apply (zenon_L221_); trivial. % 1.19/1.34 apply (zenon_L442_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L569_); trivial. % 1.19/1.34 apply (zenon_L562_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H20. zenon_intro zenon_H29d. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H163. zenon_intro zenon_H29e. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H161. zenon_intro zenon_H162. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_Hd | zenon_intro zenon_H158 ]. % 1.19/1.34 apply (zenon_L578_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H20. zenon_intro zenon_H15b. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_Hd5. zenon_intro zenon_H15c. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_Hd6. zenon_intro zenon_Hd7. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L330_); trivial. % 1.19/1.34 apply (zenon_L583_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_H20. zenon_intro zenon_H364. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H17b. zenon_intro zenon_H365. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H179. zenon_intro zenon_H17a. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H9 | zenon_intro zenon_H29b ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2ed); [ zenon_intro zenon_H18d | zenon_intro zenon_H223 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_Hd | zenon_intro zenon_H158 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L585_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H119 | zenon_intro zenon_H131 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 1.19/1.34 apply (zenon_L587_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H20. zenon_intro zenon_Hec. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He0. zenon_intro zenon_Hed. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_He1. zenon_intro zenon_Hdf. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H137 | zenon_intro zenon_H14f ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 1.19/1.34 apply (zenon_L355_); trivial. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 1.19/1.34 apply (zenon_L190_); trivial. % 1.19/1.34 apply (zenon_L550_); trivial. % 1.19/1.34 apply (zenon_L589_); trivial. % 1.19/1.34 apply (zenon_L590_); trivial. % 1.19/1.34 apply (zenon_L428_); trivial. % 1.19/1.34 apply (zenon_L108_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H20. zenon_intro zenon_H15b. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_Hd5. zenon_intro zenon_H15c. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_Hd6. zenon_intro zenon_Hd7. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_L547_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H2b | zenon_intro zenon_H114 ]. % 1.19/1.34 apply (zenon_L584_); trivial. % 1.19/1.34 apply (zenon_L340_); trivial. % 1.19/1.34 apply (zenon_L315_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_L591_); trivial. % 1.19/1.34 apply (zenon_L561_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H20. zenon_intro zenon_H225. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H1b0. zenon_intro zenon_H226. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_H1af. zenon_intro zenon_H1ad. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_Hd | zenon_intro zenon_H158 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L594_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H119 | zenon_intro zenon_H131 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 1.19/1.34 apply (zenon_L587_); trivial. % 1.19/1.34 apply (zenon_L597_); trivial. % 1.19/1.34 apply (zenon_L428_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_H20. zenon_intro zenon_Hf6. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H79. zenon_intro zenon_Hf7. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H7a. zenon_intro zenon_H78. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 1.19/1.34 apply (zenon_L38_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_H20. zenon_intro zenon_Hf9. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H9a. zenon_intro zenon_Hfa. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_H98. zenon_intro zenon_H99. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H119 | zenon_intro zenon_H131 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 1.19/1.34 apply (zenon_L15_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H20. zenon_intro zenon_H31. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H23. zenon_intro zenon_H32. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H24. zenon_intro zenon_H22. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H8f | zenon_intro zenon_Hbd ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H93 | zenon_intro zenon_Hd1 ]. % 1.19/1.34 apply (zenon_L42_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H20. zenon_intro zenon_Hd2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Ha1. zenon_intro zenon_Hd3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_Ha3. zenon_intro zenon_Ha4. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 1.19/1.34 apply (zenon_L355_); trivial. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 1.19/1.34 apply (zenon_L434_); trivial. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1c7 ]. % 1.19/1.34 apply (zenon_L434_); trivial. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H21 | zenon_intro zenon_H1c3 ]. % 1.19/1.34 apply (zenon_L17_); trivial. % 1.19/1.34 apply (zenon_L598_); trivial. % 1.19/1.34 apply (zenon_L48_); trivial. % 1.19/1.34 apply (zenon_L478_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H20. zenon_intro zenon_H220. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H216. zenon_intro zenon_H221. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H217. zenon_intro zenon_H218. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.19/1.34 apply (zenon_L600_); trivial. % 1.19/1.34 apply (zenon_L478_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H20. zenon_intro zenon_Hcb. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc1. zenon_intro zenon_Hcc. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc2. zenon_intro zenon_Hc0. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.19/1.34 apply (zenon_L601_); trivial. % 1.19/1.34 apply (zenon_L489_); trivial. % 1.19/1.34 apply (zenon_L602_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H20. zenon_intro zenon_Hec. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He0. zenon_intro zenon_Hed. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_He1. zenon_intro zenon_Hdf. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 1.19/1.34 apply (zenon_L15_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H20. zenon_intro zenon_H31. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H23. zenon_intro zenon_H32. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H24. zenon_intro zenon_H22. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 1.19/1.34 apply (zenon_L355_); trivial. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 1.19/1.34 apply (zenon_L596_); trivial. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1c7 ]. % 1.19/1.34 apply (zenon_L596_); trivial. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H21 | zenon_intro zenon_H1c3 ]. % 1.19/1.34 apply (zenon_L17_); trivial. % 1.19/1.34 apply (zenon_L598_); trivial. % 1.19/1.34 apply (zenon_L96_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H20. zenon_intro zenon_H220. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H216. zenon_intro zenon_H221. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H217. zenon_intro zenon_H218. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.19/1.34 apply (zenon_L600_); trivial. % 1.19/1.34 apply (zenon_L96_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H20. zenon_intro zenon_H66. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H45. zenon_intro zenon_H67. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H46. zenon_intro zenon_H44. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 1.19/1.34 apply (zenon_L15_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H20. zenon_intro zenon_H31. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H23. zenon_intro zenon_H32. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H24. zenon_intro zenon_H22. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H8f | zenon_intro zenon_Hbd ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H93 | zenon_intro zenon_Hd1 ]. % 1.19/1.34 apply (zenon_L42_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H20. zenon_intro zenon_Hd2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Ha1. zenon_intro zenon_Hd3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_Ha3. zenon_intro zenon_Ha4. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1c7 ]. % 1.19/1.34 apply (zenon_L434_); trivial. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H21 | zenon_intro zenon_H1c3 ]. % 1.19/1.34 apply (zenon_L17_); trivial. % 1.19/1.34 apply (zenon_L603_); trivial. % 1.19/1.34 apply (zenon_L48_); trivial. % 1.19/1.34 apply (zenon_L323_); trivial. % 1.19/1.34 apply (zenon_L605_); trivial. % 1.19/1.34 apply (zenon_L65_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H20. zenon_intro zenon_Hec. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He0. zenon_intro zenon_Hed. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_He1. zenon_intro zenon_Hdf. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 1.19/1.34 apply (zenon_L15_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H20. zenon_intro zenon_H31. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H23. zenon_intro zenon_H32. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H24. zenon_intro zenon_H22. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1c7 ]. % 1.19/1.34 apply (zenon_L596_); trivial. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H21 | zenon_intro zenon_H1c3 ]. % 1.19/1.34 apply (zenon_L17_); trivial. % 1.19/1.34 apply (zenon_L603_); trivial. % 1.19/1.34 apply (zenon_L96_); trivial. % 1.19/1.34 apply (zenon_L605_); trivial. % 1.19/1.34 apply (zenon_L65_); trivial. % 1.19/1.34 apply (zenon_L607_); trivial. % 1.19/1.34 apply (zenon_L135_); trivial. % 1.19/1.34 apply (zenon_L610_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H20. zenon_intro zenon_H15b. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_Hd5. zenon_intro zenon_H15c. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_Hd6. zenon_intro zenon_Hd7. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L611_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 1.19/1.34 apply (zenon_L221_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_H20. zenon_intro zenon_Hf6. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H79. zenon_intro zenon_Hf7. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H7a. zenon_intro zenon_H78. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 1.19/1.34 apply (zenon_L38_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_H20. zenon_intro zenon_Hf9. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H9a. zenon_intro zenon_Hfa. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_H98. zenon_intro zenon_H99. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H119 | zenon_intro zenon_H131 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.19/1.34 apply (zenon_L614_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H20. zenon_intro zenon_Hcb. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc1. zenon_intro zenon_Hcc. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc2. zenon_intro zenon_Hc0. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H8f | zenon_intro zenon_Hbd ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H93 | zenon_intro zenon_Hd1 ]. % 1.19/1.34 apply (zenon_L42_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H20. zenon_intro zenon_Hd2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Ha1. zenon_intro zenon_Hd3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_Ha3. zenon_intro zenon_Ha4. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 1.19/1.34 apply (zenon_L355_); trivial. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 1.19/1.34 apply (zenon_L429_); trivial. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hd4 | zenon_intro zenon_Hee ]. % 1.19/1.34 apply (zenon_L52_); trivial. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_Hde | zenon_intro zenon_He9 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H97 | zenon_intro zenon_Hcd ]. % 1.19/1.34 apply (zenon_L43_); trivial. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H69 | zenon_intro zenon_Ha2 ]. % 1.19/1.34 apply (zenon_L613_); trivial. % 1.19/1.34 apply (zenon_L49_); trivial. % 1.19/1.34 exact (zenon_He8 zenon_He9). % 1.19/1.34 apply (zenon_L352_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H20. zenon_intro zenon_H220. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H216. zenon_intro zenon_H221. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H217. zenon_intro zenon_H218. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 1.19/1.34 apply (zenon_L15_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H20. zenon_intro zenon_H31. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H23. zenon_intro zenon_H32. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H24. zenon_intro zenon_H22. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H8f | zenon_intro zenon_Hbd ]. % 1.19/1.34 apply (zenon_L616_); trivial. % 1.19/1.34 apply (zenon_L352_); trivial. % 1.19/1.34 apply (zenon_L618_); trivial. % 1.19/1.34 apply (zenon_L55_); trivial. % 1.19/1.34 apply (zenon_L433_); trivial. % 1.19/1.34 apply (zenon_L607_); trivial. % 1.19/1.34 apply (zenon_L56_); trivial. % 1.19/1.34 apply (zenon_L561_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L611_); trivial. % 1.19/1.34 apply (zenon_L632_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H20. zenon_intro zenon_H29d. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H163. zenon_intro zenon_H29e. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H161. zenon_intro zenon_H162. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_Hd | zenon_intro zenon_H158 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L336_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 1.19/1.34 apply (zenon_L572_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_H20. zenon_intro zenon_Hf6. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H79. zenon_intro zenon_Hf7. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H7a. zenon_intro zenon_H78. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 1.19/1.34 apply (zenon_L38_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_H20. zenon_intro zenon_Hf9. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H9a. zenon_intro zenon_Hfa. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_H98. zenon_intro zenon_H99. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 1.19/1.34 apply (zenon_L582_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_H20. zenon_intro zenon_Hec. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_He0. zenon_intro zenon_Hed. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_He1. zenon_intro zenon_Hdf. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.19/1.34 apply (zenon_L634_); trivial. % 1.19/1.34 apply (zenon_L571_); trivial. % 1.19/1.34 apply (zenon_L156_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H20. zenon_intro zenon_H15b. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_Hd5. zenon_intro zenon_H15c. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_Hd6. zenon_intro zenon_Hd7. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L341_); trivial. % 1.19/1.34 apply (zenon_L583_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H362). zenon_intro zenon_H20. zenon_intro zenon_H366. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H366). zenon_intro zenon_H1e2. zenon_intro zenon_H367. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H367). zenon_intro zenon_H1e0. zenon_intro zenon_H1e1. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H3 | zenon_intro zenon_H2cf ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_Hb | zenon_intro zenon_H363 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L635_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_L495_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.19/1.34 apply (zenon_L505_); trivial. % 1.19/1.34 apply (zenon_L637_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_H20. zenon_intro zenon_H364. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H17b. zenon_intro zenon_H365. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H179. zenon_intro zenon_H17a. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L635_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_L495_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.19/1.34 apply (zenon_L535_); trivial. % 1.19/1.34 apply (zenon_L639_); trivial. % 1.19/1.34 apply (zenon_L136_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H20. zenon_intro zenon_H2d0. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H83. zenon_intro zenon_H2d1. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2d1). zenon_intro zenon_H84. zenon_intro zenon_H82. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H9 | zenon_intro zenon_H29b ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2ed); [ zenon_intro zenon_H18d | zenon_intro zenon_H223 ]. % 1.19/1.34 apply (zenon_L650_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H20. zenon_intro zenon_H225. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H1b0. zenon_intro zenon_H226. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_H1af. zenon_intro zenon_H1ad. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_L654_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L658_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 1.19/1.34 apply (zenon_L661_); trivial. % 1.19/1.34 apply (zenon_L662_); trivial. % 1.19/1.34 apply (zenon_L666_); trivial. % 1.19/1.34 apply (zenon_L667_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H361). zenon_intro zenon_H20. zenon_intro zenon_H368. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H368). zenon_intro zenon_H229. zenon_intro zenon_H369. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H369). zenon_intro zenon_H227. zenon_intro zenon_H228. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_He8 | zenon_intro zenon_H362 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H3 | zenon_intro zenon_H2cf ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_Hb | zenon_intro zenon_H363 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L345_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.19/1.34 apply (zenon_L668_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H20. zenon_intro zenon_H66. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H45. zenon_intro zenon_H67. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H46. zenon_intro zenon_H44. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.19/1.34 apply (zenon_L672_); trivial. % 1.19/1.34 apply (zenon_L674_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.19/1.34 apply (zenon_L676_); trivial. % 1.19/1.34 apply (zenon_L674_); trivial. % 1.19/1.34 apply (zenon_L136_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L345_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.19/1.34 apply (zenon_L668_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H20. zenon_intro zenon_H66. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H45. zenon_intro zenon_H67. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H46. zenon_intro zenon_H44. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.19/1.34 apply (zenon_L232_); trivial. % 1.19/1.34 apply (zenon_L671_); trivial. % 1.19/1.34 apply (zenon_L674_); trivial. % 1.19/1.34 apply (zenon_L680_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_H20. zenon_intro zenon_H364. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H17b. zenon_intro zenon_H365. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H179. zenon_intro zenon_H17a. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H9 | zenon_intro zenon_H29b ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2ed); [ zenon_intro zenon_H18d | zenon_intro zenon_H223 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L403_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_L402_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H119 | zenon_intro zenon_H131 ]. % 1.19/1.34 apply (zenon_L689_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H20. zenon_intro zenon_H133. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H120. zenon_intro zenon_H134. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.19/1.34 apply (zenon_L686_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H20. zenon_intro zenon_H66. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H45. zenon_intro zenon_H67. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H46. zenon_intro zenon_H44. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 1.19/1.34 apply (zenon_L691_); trivial. % 1.19/1.34 apply (zenon_L685_); trivial. % 1.19/1.34 apply (zenon_L136_); trivial. % 1.19/1.34 apply (zenon_L692_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H20. zenon_intro zenon_H225. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H1b0. zenon_intro zenon_H226. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_H1af. zenon_intro zenon_H1ad. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L403_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_L402_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H119 | zenon_intro zenon_H131 ]. % 1.19/1.34 apply (zenon_L689_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H20. zenon_intro zenon_H133. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H120. zenon_intro zenon_H134. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.19/1.34 apply (zenon_L686_); trivial. % 1.19/1.34 apply (zenon_L695_); trivial. % 1.19/1.34 apply (zenon_L136_); trivial. % 1.19/1.34 apply (zenon_L692_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H20. zenon_intro zenon_H29d. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H163. zenon_intro zenon_H29e. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H161. zenon_intro zenon_H162. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L403_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_L402_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H119 | zenon_intro zenon_H131 ]. % 1.19/1.34 apply (zenon_L689_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H131). zenon_intro zenon_H20. zenon_intro zenon_H133. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H120. zenon_intro zenon_H134. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.19/1.34 apply (zenon_L686_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H20. zenon_intro zenon_H66. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H45. zenon_intro zenon_H67. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H46. zenon_intro zenon_H44. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 1.19/1.34 apply (zenon_L698_); trivial. % 1.19/1.34 apply (zenon_L685_); trivial. % 1.19/1.34 apply (zenon_L136_); trivial. % 1.19/1.34 apply (zenon_L692_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H20. zenon_intro zenon_H2d0. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H83. zenon_intro zenon_H2d1. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2d1). zenon_intro zenon_H84. zenon_intro zenon_H82. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L345_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 1.19/1.34 apply (zenon_L355_); trivial. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 1.19/1.34 apply (zenon_L190_); trivial. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H1ae | zenon_intro zenon_H2a8 ]. % 1.19/1.34 apply (zenon_L190_); trivial. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H109 | zenon_intro zenon_H275 ]. % 1.19/1.34 apply (zenon_L223_); trivial. % 1.19/1.34 apply (zenon_L311_); trivial. % 1.19/1.34 apply (zenon_L674_); trivial. % 1.19/1.34 apply (zenon_L699_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H362). zenon_intro zenon_H20. zenon_intro zenon_H366. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H366). zenon_intro zenon_H1e2. zenon_intro zenon_H367. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H367). zenon_intro zenon_H1e0. zenon_intro zenon_H1e1. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_L700_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L345_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_L701_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 1.19/1.34 apply (zenon_L702_); trivial. % 1.19/1.34 apply (zenon_L305_); trivial. % 1.19/1.34 apply (zenon_L164_); trivial. % 1.19/1.34 apply (zenon_L534_); trivial. % 1.19/1.34 apply (zenon_L136_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H35e). zenon_intro zenon_H20. zenon_intro zenon_H36e. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H36e). zenon_intro zenon_H2b1. zenon_intro zenon_H36f. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H36f). zenon_intro zenon_H2b2. zenon_intro zenon_H2b0. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H5 | zenon_intro zenon_H35f ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H19d | zenon_intro zenon_H360 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H105 | zenon_intro zenon_H361 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_He8 | zenon_intro zenon_H362 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H3 | zenon_intro zenon_H2cf ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_Hb | zenon_intro zenon_H363 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H9 | zenon_intro zenon_H29b ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_Hd | zenon_intro zenon_H158 ]. % 1.19/1.34 apply (zenon_L8_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H20. zenon_intro zenon_H15b. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_Hd5. zenon_intro zenon_H15c. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_Hd6. zenon_intro zenon_Hd7. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_L710_); trivial. % 1.19/1.34 apply (zenon_L731_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H20. zenon_intro zenon_H29d. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H163. zenon_intro zenon_H29e. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H161. zenon_intro zenon_H162. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_Hd | zenon_intro zenon_H158 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 1.19/1.34 apply (zenon_L153_); trivial. % 1.19/1.34 apply (zenon_L738_); trivial. % 1.19/1.34 apply (zenon_L739_); trivial. % 1.19/1.34 apply (zenon_L746_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H20. zenon_intro zenon_H15b. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_Hd5. zenon_intro zenon_H15c. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_Hd6. zenon_intro zenon_Hd7. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L748_); trivial. % 1.19/1.34 apply (zenon_L709_); trivial. % 1.19/1.34 apply (zenon_L749_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_H20. zenon_intro zenon_H364. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H17b. zenon_intro zenon_H365. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H179. zenon_intro zenon_H17a. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H9 | zenon_intro zenon_H29b ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_Hd | zenon_intro zenon_H158 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H2b | zenon_intro zenon_H114 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.19/1.34 apply (zenon_L98_); trivial. % 1.19/1.34 apply (zenon_L751_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H20. zenon_intro zenon_H115. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_Hfd. zenon_intro zenon_H116. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_Hfe. zenon_intro zenon_Hfc. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.19/1.34 apply (zenon_L567_); trivial. % 1.19/1.34 apply (zenon_L737_); trivial. % 1.19/1.34 apply (zenon_L105_); trivial. % 1.19/1.34 apply (zenon_L739_); trivial. % 1.19/1.34 apply (zenon_L757_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H20. zenon_intro zenon_H15b. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_Hd5. zenon_intro zenon_H15c. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_Hd6. zenon_intro zenon_Hd7. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_L710_); trivial. % 1.19/1.34 apply (zenon_L759_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H20. zenon_intro zenon_H29d. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H163. zenon_intro zenon_H29e. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H161. zenon_intro zenon_H162. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_Hd | zenon_intro zenon_H158 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 1.19/1.34 apply (zenon_L760_); trivial. % 1.19/1.34 apply (zenon_L761_); trivial. % 1.19/1.34 apply (zenon_L105_); trivial. % 1.19/1.34 apply (zenon_L739_); trivial. % 1.19/1.34 apply (zenon_L757_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H20. zenon_intro zenon_H15b. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_Hd5. zenon_intro zenon_H15c. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_Hd6. zenon_intro zenon_Hd7. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 1.19/1.34 apply (zenon_L707_); trivial. % 1.19/1.34 apply (zenon_L761_); trivial. % 1.19/1.34 apply (zenon_L758_); trivial. % 1.19/1.34 apply (zenon_L709_); trivial. % 1.19/1.34 apply (zenon_L759_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H20. zenon_intro zenon_H2d0. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H83. zenon_intro zenon_H2d1. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2d1). zenon_intro zenon_H84. zenon_intro zenon_H82. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_Hb | zenon_intro zenon_H363 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H9 | zenon_intro zenon_H29b ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_Hd | zenon_intro zenon_H158 ]. % 1.19/1.34 apply (zenon_L8_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H20. zenon_intro zenon_H15b. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_Hd5. zenon_intro zenon_H15c. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_Hd6. zenon_intro zenon_Hd7. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_L222_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L705_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 1.19/1.34 apply (zenon_L707_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H20. zenon_intro zenon_Hf3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H6c. zenon_intro zenon_Hf4. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H6a. zenon_intro zenon_H6b. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.19/1.34 apply (zenon_L762_); trivial. % 1.19/1.34 apply (zenon_L180_); trivial. % 1.19/1.34 apply (zenon_L55_); trivial. % 1.19/1.34 apply (zenon_L704_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_H20. zenon_intro zenon_Hf9. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H9a. zenon_intro zenon_Hfa. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_H98. zenon_intro zenon_H99. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.19/1.34 apply (zenon_L86_); trivial. % 1.19/1.34 apply (zenon_L729_); trivial. % 1.19/1.34 apply (zenon_L708_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H20. zenon_intro zenon_H29d. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H163. zenon_intro zenon_H29e. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H161. zenon_intro zenon_H162. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_Hd | zenon_intro zenon_H158 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.19/1.34 apply (zenon_L764_); trivial. % 1.19/1.34 apply (zenon_L765_); trivial. % 1.19/1.34 apply (zenon_L738_); trivial. % 1.19/1.34 apply (zenon_L105_); trivial. % 1.19/1.34 apply (zenon_L739_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 1.19/1.34 apply (zenon_L766_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_H20. zenon_intro zenon_Hf9. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H9a. zenon_intro zenon_Hfa. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_H98. zenon_intro zenon_H99. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.19/1.34 apply (zenon_L734_); trivial. % 1.19/1.34 apply (zenon_L113_); trivial. % 1.19/1.34 apply (zenon_L771_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_H20. zenon_intro zenon_H364. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H17b. zenon_intro zenon_H365. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H179. zenon_intro zenon_H17a. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H9 | zenon_intro zenon_H29b ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2ed); [ zenon_intro zenon_H18d | zenon_intro zenon_H223 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_Hd | zenon_intro zenon_H158 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_L773_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H2b | zenon_intro zenon_H114 ]. % 1.19/1.34 apply (zenon_L778_); trivial. % 1.19/1.34 apply (zenon_L780_); trivial. % 1.19/1.34 apply (zenon_L756_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.19/1.34 apply (zenon_L782_); trivial. % 1.19/1.34 apply (zenon_L459_); trivial. % 1.19/1.34 apply (zenon_L783_); trivial. % 1.19/1.34 apply (zenon_L754_); trivial. % 1.19/1.34 apply (zenon_L107_); trivial. % 1.19/1.34 apply (zenon_L784_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H20. zenon_intro zenon_H15b. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_Hd5. zenon_intro zenon_H15c. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_Hd6. zenon_intro zenon_Hd7. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_L222_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L705_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.19/1.34 apply (zenon_L762_); trivial. % 1.19/1.34 apply (zenon_L459_); trivial. % 1.19/1.34 apply (zenon_L55_); trivial. % 1.19/1.34 apply (zenon_L704_); trivial. % 1.19/1.34 apply (zenon_L107_); trivial. % 1.19/1.34 apply (zenon_L708_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H20. zenon_intro zenon_H225. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H1b0. zenon_intro zenon_H226. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_H1af. zenon_intro zenon_H1ad. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_Hd | zenon_intro zenon_H158 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_L773_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H2b | zenon_intro zenon_H114 ]. % 1.19/1.34 apply (zenon_L790_); trivial. % 1.19/1.34 apply (zenon_L780_); trivial. % 1.19/1.34 apply (zenon_L756_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 1.19/1.34 apply (zenon_L755_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H20. zenon_intro zenon_Hf3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H6c. zenon_intro zenon_Hf4. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H6a. zenon_intro zenon_H6b. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 1.19/1.34 apply (zenon_L791_); trivial. % 1.19/1.34 apply (zenon_L783_); trivial. % 1.19/1.34 apply (zenon_L729_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_H20. zenon_intro zenon_Hf9. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H9a. zenon_intro zenon_Hfa. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_H98. zenon_intro zenon_H99. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 1.19/1.34 apply (zenon_L792_); trivial. % 1.19/1.34 apply (zenon_L783_); trivial. % 1.19/1.34 apply (zenon_L754_); trivial. % 1.19/1.34 apply (zenon_L784_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H20. zenon_intro zenon_H15b. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_Hd5. zenon_intro zenon_H15c. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_Hd6. zenon_intro zenon_Hd7. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_L222_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L796_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 1.19/1.34 apply (zenon_L707_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H20. zenon_intro zenon_Hf3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_H6c. zenon_intro zenon_Hf4. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H6a. zenon_intro zenon_H6b. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 1.19/1.34 apply (zenon_L791_); trivial. % 1.19/1.34 apply (zenon_L55_); trivial. % 1.19/1.34 apply (zenon_L704_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_H20. zenon_intro zenon_Hf9. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H9a. zenon_intro zenon_Hfa. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_H98. zenon_intro zenon_H99. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 1.19/1.34 apply (zenon_L792_); trivial. % 1.19/1.34 apply (zenon_L55_); trivial. % 1.19/1.34 apply (zenon_L729_); trivial. % 1.19/1.34 apply (zenon_L708_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H20. zenon_intro zenon_H29d. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H163. zenon_intro zenon_H29e. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H161. zenon_intro zenon_H162. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_Hd | zenon_intro zenon_H158 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_L799_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H2b | zenon_intro zenon_H114 ]. % 1.19/1.34 apply (zenon_L778_); trivial. % 1.19/1.34 apply (zenon_L798_); trivial. % 1.19/1.34 apply (zenon_L756_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.19/1.34 apply (zenon_L782_); trivial. % 1.19/1.34 apply (zenon_L763_); trivial. % 1.19/1.34 apply (zenon_L783_); trivial. % 1.19/1.34 apply (zenon_L754_); trivial. % 1.19/1.34 apply (zenon_L800_); trivial. % 1.19/1.34 apply (zenon_L784_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H20. zenon_intro zenon_H15b. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_Hd5. zenon_intro zenon_H15c. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_Hd6. zenon_intro zenon_Hd7. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_L222_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H2b | zenon_intro zenon_H114 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.19/1.34 apply (zenon_L777_); trivial. % 1.19/1.34 apply (zenon_L704_); trivial. % 1.19/1.34 apply (zenon_L798_); trivial. % 1.19/1.34 apply (zenon_L758_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.19/1.34 apply (zenon_L762_); trivial. % 1.19/1.34 apply (zenon_L763_); trivial. % 1.19/1.34 apply (zenon_L55_); trivial. % 1.19/1.34 apply (zenon_L729_); trivial. % 1.19/1.34 apply (zenon_L770_); trivial. % 1.19/1.34 apply (zenon_L708_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H362). zenon_intro zenon_H20. zenon_intro zenon_H366. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H366). zenon_intro zenon_H1e2. zenon_intro zenon_H367. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H367). zenon_intro zenon_H1e0. zenon_intro zenon_H1e1. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H3 | zenon_intro zenon_H2cf ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_Hb | zenon_intro zenon_H363 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_Hd | zenon_intro zenon_H158 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_L808_); trivial. % 1.19/1.34 apply (zenon_L105_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_L808_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 1.19/1.34 apply (zenon_L159_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_H20. zenon_intro zenon_Hf6. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H79. zenon_intro zenon_Hf7. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H7a. zenon_intro zenon_H78. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H230 | zenon_intro zenon_H23f ]. % 1.19/1.34 apply (zenon_L735_); trivial. % 1.19/1.34 apply (zenon_L809_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_L814_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H2b | zenon_intro zenon_H114 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.19/1.34 apply (zenon_L815_); trivial. % 1.19/1.34 apply (zenon_L178_); trivial. % 1.19/1.34 apply (zenon_L20_); trivial. % 1.19/1.34 apply (zenon_L818_); trivial. % 1.19/1.34 apply (zenon_L820_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H20. zenon_intro zenon_H15b. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_Hd5. zenon_intro zenon_H15c. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_Hd6. zenon_intro zenon_Hd7. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.19/1.34 apply (zenon_L505_); trivial. % 1.19/1.34 apply (zenon_L704_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_H20. zenon_intro zenon_H364. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H17b. zenon_intro zenon_H365. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H179. zenon_intro zenon_H17a. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H9 | zenon_intro zenon_H29b ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_L826_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_L830_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H2b | zenon_intro zenon_H114 ]. % 1.19/1.34 apply (zenon_L836_); trivial. % 1.19/1.34 apply (zenon_L838_); trivial. % 1.19/1.34 apply (zenon_L820_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H20. zenon_intro zenon_H29d. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H163. zenon_intro zenon_H29e. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H161. zenon_intro zenon_H162. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_L826_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L841_); trivial. % 1.19/1.34 apply (zenon_L820_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H20. zenon_intro zenon_H2d0. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H83. zenon_intro zenon_H2d1. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2d1). zenon_intro zenon_H84. zenon_intro zenon_H82. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_L160_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_L842_); trivial. % 1.19/1.34 apply (zenon_L183_); trivial. % 1.19/1.34 apply (zenon_L843_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H361). zenon_intro zenon_H20. zenon_intro zenon_H368. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H368). zenon_intro zenon_H229. zenon_intro zenon_H369. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H369). zenon_intro zenon_H227. zenon_intro zenon_H228. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_He8 | zenon_intro zenon_H362 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H3 | zenon_intro zenon_H2cf ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_Hb | zenon_intro zenon_H363 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_Hd | zenon_intro zenon_H158 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L846_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_L849_); trivial. % 1.19/1.34 apply (zenon_L852_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L863_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_L853_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.19/1.34 apply (zenon_L11_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H20. zenon_intro zenon_H66. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H45. zenon_intro zenon_H67. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H46. zenon_intro zenon_H44. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.19/1.34 apply (zenon_L862_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H20. zenon_intro zenon_H220. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H216. zenon_intro zenon_H221. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H217. zenon_intro zenon_H218. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.19/1.34 apply (zenon_L866_); trivial. % 1.19/1.34 apply (zenon_L727_); trivial. % 1.19/1.34 apply (zenon_L136_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H20. zenon_intro zenon_H15b. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_Hd5. zenon_intro zenon_H15c. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_Hd6. zenon_intro zenon_Hd7. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L846_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_L849_); trivial. % 1.19/1.34 apply (zenon_L708_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L872_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_L853_); trivial. % 1.19/1.34 apply (zenon_L708_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_H20. zenon_intro zenon_H364. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H17b. zenon_intro zenon_H365. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H179. zenon_intro zenon_H17a. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_Hd | zenon_intro zenon_H158 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_L873_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L876_); trivial. % 1.19/1.34 apply (zenon_L879_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H20. zenon_intro zenon_H15b. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_Hd5. zenon_intro zenon_H15c. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_Hd6. zenon_intro zenon_Hd7. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_L880_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L881_); trivial. % 1.19/1.34 apply (zenon_L879_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H20. zenon_intro zenon_H2d0. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H83. zenon_intro zenon_H2d1. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2d1). zenon_intro zenon_H84. zenon_intro zenon_H82. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_Hb | zenon_intro zenon_H363 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H9 | zenon_intro zenon_H29b ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_Hd | zenon_intro zenon_H158 ]. % 1.19/1.34 apply (zenon_L8_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H20. zenon_intro zenon_H15b. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_Hd5. zenon_intro zenon_H15c. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_Hd6. zenon_intro zenon_Hd7. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_L222_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L705_); trivial. % 1.19/1.34 apply (zenon_L883_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H20. zenon_intro zenon_H29d. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H163. zenon_intro zenon_H29e. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H161. zenon_intro zenon_H162. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_L884_); trivial. % 1.19/1.34 apply (zenon_L892_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_H20. zenon_intro zenon_H364. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H17b. zenon_intro zenon_H365. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H179. zenon_intro zenon_H17a. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H9 | zenon_intro zenon_H29b ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2ed); [ zenon_intro zenon_H18d | zenon_intro zenon_H223 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_L884_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L893_); trivial. % 1.19/1.34 apply (zenon_L900_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H20. zenon_intro zenon_H225. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H1b0. zenon_intro zenon_H226. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_H1af. zenon_intro zenon_H1ad. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_L884_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L893_); trivial. % 1.19/1.34 apply (zenon_L905_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H20. zenon_intro zenon_H29d. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H163. zenon_intro zenon_H29e. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H161. zenon_intro zenon_H162. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_L884_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L912_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 1.19/1.34 apply (zenon_L913_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_H20. zenon_intro zenon_Hf9. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H9a. zenon_intro zenon_Hfa. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_H98. zenon_intro zenon_H99. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 1.19/1.34 apply (zenon_L769_); trivial. % 1.19/1.34 apply (zenon_L277_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H362). zenon_intro zenon_H20. zenon_intro zenon_H366. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H366). zenon_intro zenon_H1e2. zenon_intro zenon_H367. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H367). zenon_intro zenon_H1e0. zenon_intro zenon_H1e1. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H3 | zenon_intro zenon_H2cf ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_Hb | zenon_intro zenon_H363 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_Hd | zenon_intro zenon_H158 ]. % 1.19/1.34 apply (zenon_L929_); trivial. % 1.19/1.34 apply (zenon_L934_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_H20. zenon_intro zenon_H364. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H17b. zenon_intro zenon_H365. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H179. zenon_intro zenon_H17a. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_Hd | zenon_intro zenon_H158 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_L915_); trivial. % 1.19/1.34 apply (zenon_L938_); trivial. % 1.19/1.34 apply (zenon_L942_); trivial. % 1.19/1.34 apply (zenon_L944_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H360). zenon_intro zenon_H20. zenon_intro zenon_H36a. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_H26e. zenon_intro zenon_H36b. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_H276. zenon_intro zenon_H26c. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H105 | zenon_intro zenon_H361 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_He8 | zenon_intro zenon_H362 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H3 | zenon_intro zenon_H2cf ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_Hb | zenon_intro zenon_H363 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H9 | zenon_intro zenon_H29b ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_Hd | zenon_intro zenon_H158 ]. % 1.19/1.34 apply (zenon_L8_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H20. zenon_intro zenon_H15b. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_Hd5. zenon_intro zenon_H15c. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_Hd6. zenon_intro zenon_Hd7. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L946_); trivial. % 1.19/1.34 apply (zenon_L948_); trivial. % 1.19/1.34 apply (zenon_L960_); trivial. % 1.19/1.34 apply (zenon_L967_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_H20. zenon_intro zenon_H364. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H17b. zenon_intro zenon_H365. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H179. zenon_intro zenon_H17a. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H9 | zenon_intro zenon_H29b ]. % 1.19/1.34 apply (zenon_L971_); trivial. % 1.19/1.34 apply (zenon_L967_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H20. zenon_intro zenon_H2d0. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H83. zenon_intro zenon_H2d1. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2d1). zenon_intro zenon_H84. zenon_intro zenon_H82. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_Hb | zenon_intro zenon_H363 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H9 | zenon_intro zenon_H29b ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_Hd | zenon_intro zenon_H158 ]. % 1.19/1.34 apply (zenon_L8_); trivial. % 1.19/1.34 apply (zenon_L974_); trivial. % 1.19/1.34 apply (zenon_L976_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_H20. zenon_intro zenon_H364. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H17b. zenon_intro zenon_H365. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H179. zenon_intro zenon_H17a. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H9 | zenon_intro zenon_H29b ]. % 1.19/1.34 apply (zenon_L971_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H20. zenon_intro zenon_H29d. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H163. zenon_intro zenon_H29e. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H161. zenon_intro zenon_H162. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_Hd | zenon_intro zenon_H158 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L979_); trivial. % 1.19/1.34 apply (zenon_L948_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L980_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_L983_); trivial. % 1.19/1.34 apply (zenon_L965_); trivial. % 1.19/1.34 apply (zenon_L974_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H362). zenon_intro zenon_H20. zenon_intro zenon_H366. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H366). zenon_intro zenon_H1e2. zenon_intro zenon_H367. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H367). zenon_intro zenon_H1e0. zenon_intro zenon_H1e1. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H3 | zenon_intro zenon_H2cf ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_Hb | zenon_intro zenon_H363 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H9 | zenon_intro zenon_H29b ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_Hd | zenon_intro zenon_H158 ]. % 1.19/1.34 apply (zenon_L8_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H20. zenon_intro zenon_H15b. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_Hd5. zenon_intro zenon_H15c. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_Hd6. zenon_intro zenon_Hd7. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_L988_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L989_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_L959_); trivial. % 1.19/1.34 apply (zenon_L819_); trivial. % 1.19/1.34 apply (zenon_L991_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_H20. zenon_intro zenon_H364. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H17b. zenon_intro zenon_H365. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H179. zenon_intro zenon_H17a. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H9 | zenon_intro zenon_H29b ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_L988_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L970_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_L992_); trivial. % 1.19/1.34 apply (zenon_L965_); trivial. % 1.19/1.34 apply (zenon_L991_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H20. zenon_intro zenon_H2d0. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H83. zenon_intro zenon_H2d1. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2d1). zenon_intro zenon_H84. zenon_intro zenon_H82. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H9 | zenon_intro zenon_H29b ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2ed); [ zenon_intro zenon_H18d | zenon_intro zenon_H223 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_L988_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L993_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11 | zenon_intro zenon_Hef ]. % 1.19/1.34 apply (zenon_L964_); trivial. % 1.19/1.34 apply (zenon_L994_); trivial. % 1.19/1.34 apply (zenon_L965_); trivial. % 1.19/1.34 apply (zenon_L999_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H20. zenon_intro zenon_H29d. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H163. zenon_intro zenon_H29e. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H161. zenon_intro zenon_H162. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_L988_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L980_); trivial. % 1.19/1.34 apply (zenon_L990_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H361). zenon_intro zenon_H20. zenon_intro zenon_H368. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H368). zenon_intro zenon_H229. zenon_intro zenon_H369. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H369). zenon_intro zenon_H227. zenon_intro zenon_H228. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_He8 | zenon_intro zenon_H362 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H3 | zenon_intro zenon_H2cf ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_Hb | zenon_intro zenon_H363 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L345_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_L1000_); trivial. % 1.19/1.34 apply (zenon_L965_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_H20. zenon_intro zenon_H364. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H17b. zenon_intro zenon_H365. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H179. zenon_intro zenon_H17a. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_L1001_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L345_); trivial. % 1.19/1.34 apply (zenon_L879_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H20. zenon_intro zenon_H2d0. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H83. zenon_intro zenon_H2d1. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2d1). zenon_intro zenon_H84. zenon_intro zenon_H82. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_Hb | zenon_intro zenon_H363 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H9 | zenon_intro zenon_H29b ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_Hd | zenon_intro zenon_H158 ]. % 1.19/1.34 apply (zenon_L8_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H20. zenon_intro zenon_H15b. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_Hd5. zenon_intro zenon_H15c. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_Hd6. zenon_intro zenon_Hd7. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_L1001_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L952_); trivial. % 1.19/1.34 apply (zenon_L883_); trivial. % 1.19/1.34 apply (zenon_L976_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_H20. zenon_intro zenon_H364. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H17b. zenon_intro zenon_H365. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H179. zenon_intro zenon_H17a. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H9 | zenon_intro zenon_H29b ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2ed); [ zenon_intro zenon_H18d | zenon_intro zenon_H223 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_L1001_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L345_); trivial. % 1.19/1.34 apply (zenon_L900_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H20. zenon_intro zenon_H225. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H1b0. zenon_intro zenon_H226. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_H1af. zenon_intro zenon_H1ad. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_L1001_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L345_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc9 ]. % 1.19/1.34 apply (zenon_L899_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H20. zenon_intro zenon_Hcb. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc1. zenon_intro zenon_Hcc. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc2. zenon_intro zenon_Hc0. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H20f | zenon_intro zenon_H21f ]. % 1.19/1.34 apply (zenon_L1003_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H20. zenon_intro zenon_H220. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H216. zenon_intro zenon_H221. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H217. zenon_intro zenon_H218. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H3f | zenon_intro zenon_H59 ]. % 1.19/1.34 apply (zenon_L91_); trivial. % 1.19/1.34 apply (zenon_L280_); trivial. % 1.19/1.34 apply (zenon_L1009_); trivial. % 1.19/1.34 apply (zenon_L277_); trivial. % 1.19/1.34 apply (zenon_L945_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H20. zenon_intro zenon_H29d. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H163. zenon_intro zenon_H29e. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H161. zenon_intro zenon_H162. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_L1001_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L345_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_L1013_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 1.19/1.34 apply (zenon_L913_); trivial. % 1.19/1.34 apply (zenon_L745_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H362). zenon_intro zenon_H20. zenon_intro zenon_H366. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H366). zenon_intro zenon_H1e2. zenon_intro zenon_H367. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H367). zenon_intro zenon_H1e0. zenon_intro zenon_H1e1. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H3 | zenon_intro zenon_H2cf ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_Hb | zenon_intro zenon_H363 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 1.19/1.34 apply (zenon_L159_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_H20. zenon_intro zenon_Hf6. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H79. zenon_intro zenon_Hf7. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H7a. zenon_intro zenon_H78. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H13 | zenon_intro zenon_H64 ]. % 1.19/1.34 apply (zenon_L932_); trivial. % 1.19/1.34 apply (zenon_L945_); trivial. % 1.19/1.34 apply (zenon_L1014_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_H20. zenon_intro zenon_H364. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H17b. zenon_intro zenon_H365. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H179. zenon_intro zenon_H17a. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_L1020_); trivial. % 1.19/1.34 apply (zenon_L1021_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H20. zenon_intro zenon_H2d0. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H83. zenon_intro zenon_H2d1. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2d1). zenon_intro zenon_H84. zenon_intro zenon_H82. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_Hb | zenon_intro zenon_H363 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L345_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_L1000_); trivial. % 1.19/1.34 apply (zenon_L1023_); trivial. % 1.19/1.34 apply (zenon_L1014_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_H20. zenon_intro zenon_H364. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H17b. zenon_intro zenon_H365. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H179. zenon_intro zenon_H17a. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L345_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 1.19/1.34 apply (zenon_L159_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_H20. zenon_intro zenon_Hf6. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H79. zenon_intro zenon_Hf7. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H7a. zenon_intro zenon_H78. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 1.19/1.34 apply (zenon_L38_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_H20. zenon_intro zenon_Hf9. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H9a. zenon_intro zenon_Hfa. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_H98. zenon_intro zenon_H99. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1b | zenon_intro zenon_H60 ]. % 1.19/1.34 apply (zenon_L1026_); trivial. % 1.19/1.34 apply (zenon_L1028_); trivial. % 1.19/1.34 apply (zenon_L1023_); trivial. % 1.19/1.34 apply (zenon_L1021_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H35f). zenon_intro zenon_H20. zenon_intro zenon_H36c. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H36c). zenon_intro zenon_H289. zenon_intro zenon_H36d. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H36d). zenon_intro zenon_H28a. zenon_intro zenon_H28b. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H19d | zenon_intro zenon_H360 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H105 | zenon_intro zenon_H361 ]. % 1.19/1.34 apply (zenon_L356_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H361). zenon_intro zenon_H20. zenon_intro zenon_H368. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H368). zenon_intro zenon_H229. zenon_intro zenon_H369. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H369). zenon_intro zenon_H227. zenon_intro zenon_H228. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_He8 | zenon_intro zenon_H362 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H3 | zenon_intro zenon_H2cf ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_Hb | zenon_intro zenon_H363 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_Hd | zenon_intro zenon_H158 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L846_); trivial. % 1.19/1.34 apply (zenon_L1031_); trivial. % 1.19/1.34 apply (zenon_L1035_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H20. zenon_intro zenon_H15b. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_Hd5. zenon_intro zenon_H15c. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_Hd6. zenon_intro zenon_Hd7. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L846_); trivial. % 1.19/1.34 apply (zenon_L1038_); trivial. % 1.19/1.34 apply (zenon_L1039_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_H20. zenon_intro zenon_H364. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H17b. zenon_intro zenon_H365. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H179. zenon_intro zenon_H17a. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_Hd | zenon_intro zenon_H158 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L403_); trivial. % 1.19/1.34 apply (zenon_L1031_); trivial. % 1.19/1.34 apply (zenon_L1044_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H20. zenon_intro zenon_H15b. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_Hd5. zenon_intro zenon_H15c. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_Hd6. zenon_intro zenon_Hd7. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L403_); trivial. % 1.19/1.34 apply (zenon_L1038_); trivial. % 1.19/1.34 apply (zenon_L1045_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H20. zenon_intro zenon_H2d0. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H83. zenon_intro zenon_H2d1. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2d1). zenon_intro zenon_H84. zenon_intro zenon_H82. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_Hb | zenon_intro zenon_H363 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H9 | zenon_intro zenon_H29b ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_Hd | zenon_intro zenon_H158 ]. % 1.19/1.34 apply (zenon_L8_); trivial. % 1.19/1.34 apply (zenon_L1046_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H20. zenon_intro zenon_H29d. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H163. zenon_intro zenon_H29e. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H161. zenon_intro zenon_H162. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_L1048_); trivial. % 1.19/1.34 apply (zenon_L892_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_H20. zenon_intro zenon_H364. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H17b. zenon_intro zenon_H365. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H179. zenon_intro zenon_H17a. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H9 | zenon_intro zenon_H29b ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_Hd | zenon_intro zenon_H158 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_L1048_); trivial. % 1.19/1.34 apply (zenon_L1050_); trivial. % 1.19/1.34 apply (zenon_L1046_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H20. zenon_intro zenon_H29d. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H163. zenon_intro zenon_H29e. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H161. zenon_intro zenon_H162. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_Hd | zenon_intro zenon_H158 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_L1048_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L912_); trivial. % 1.19/1.34 apply (zenon_L1049_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H20. zenon_intro zenon_H15b. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_Hd5. zenon_intro zenon_H15c. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_Hd6. zenon_intro zenon_Hd7. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_L222_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_L1051_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H20. zenon_intro zenon_H15e. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H129. zenon_intro zenon_H15f. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H12a. zenon_intro zenon_H128. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H91 | zenon_intro zenon_Hea ]. % 1.19/1.34 apply (zenon_L908_); trivial. % 1.19/1.34 apply (zenon_L55_); trivial. % 1.19/1.34 apply (zenon_L770_); trivial. % 1.19/1.34 apply (zenon_L1038_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H362). zenon_intro zenon_H20. zenon_intro zenon_H366. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H366). zenon_intro zenon_H1e2. zenon_intro zenon_H367. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H367). zenon_intro zenon_H1e0. zenon_intro zenon_H1e1. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H3 | zenon_intro zenon_H2cf ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_Hb | zenon_intro zenon_H363 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_Hd | zenon_intro zenon_H158 ]. % 1.19/1.34 apply (zenon_L929_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H20. zenon_intro zenon_H15b. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_Hd5. zenon_intro zenon_H15c. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_Hd6. zenon_intro zenon_Hd7. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_L1052_); trivial. % 1.19/1.34 apply (zenon_L933_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_H20. zenon_intro zenon_H364. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H17b. zenon_intro zenon_H365. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H179. zenon_intro zenon_H17a. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L823_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_L822_); trivial. % 1.19/1.34 apply (zenon_L1055_); trivial. % 1.19/1.34 apply (zenon_L938_); trivial. % 1.19/1.34 apply (zenon_L944_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H360). zenon_intro zenon_H20. zenon_intro zenon_H36a. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_H26e. zenon_intro zenon_H36b. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_H276. zenon_intro zenon_H26c. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H105 | zenon_intro zenon_H361 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_He8 | zenon_intro zenon_H362 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H3 | zenon_intro zenon_H2cf ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_Hb | zenon_intro zenon_H363 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H9 | zenon_intro zenon_H29b ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_Hd | zenon_intro zenon_H158 ]. % 1.19/1.34 apply (zenon_L8_); trivial. % 1.19/1.34 apply (zenon_L1057_); trivial. % 1.19/1.34 apply (zenon_L1063_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_H20. zenon_intro zenon_H364. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H17b. zenon_intro zenon_H365. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H179. zenon_intro zenon_H17a. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H9 | zenon_intro zenon_H29b ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L969_); trivial. % 1.19/1.34 apply (zenon_L1056_); trivial. % 1.19/1.34 apply (zenon_L1063_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H20. zenon_intro zenon_H2d0. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H83. zenon_intro zenon_H2d1. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2d1). zenon_intro zenon_H84. zenon_intro zenon_H82. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_Hb | zenon_intro zenon_H363 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H9 | zenon_intro zenon_H29b ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_Hd | zenon_intro zenon_H158 ]. % 1.19/1.34 apply (zenon_L8_); trivial. % 1.19/1.34 apply (zenon_L1064_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H20. zenon_intro zenon_H29d. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H163. zenon_intro zenon_H29e. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H161. zenon_intro zenon_H162. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_Hd | zenon_intro zenon_H158 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L979_); trivial. % 1.19/1.34 apply (zenon_L1056_); trivial. % 1.19/1.34 apply (zenon_L1064_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_H20. zenon_intro zenon_H364. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H17b. zenon_intro zenon_H365. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H179. zenon_intro zenon_H17a. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H9 | zenon_intro zenon_H29b ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2ed); [ zenon_intro zenon_H18d | zenon_intro zenon_H223 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H2b | zenon_intro zenon_H114 ]. % 1.19/1.34 apply (zenon_L1066_); trivial. % 1.19/1.34 apply (zenon_L549_); trivial. % 1.19/1.34 apply (zenon_L315_); trivial. % 1.19/1.34 apply (zenon_L1056_); trivial. % 1.19/1.34 apply (zenon_L1067_); trivial. % 1.19/1.34 apply (zenon_L1068_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H20. zenon_intro zenon_H29d. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_H163. zenon_intro zenon_H29e. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H161. zenon_intro zenon_H162. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H2b | zenon_intro zenon_H114 ]. % 1.19/1.34 apply (zenon_L1066_); trivial. % 1.19/1.34 apply (zenon_L1070_); trivial. % 1.19/1.34 apply (zenon_L315_); trivial. % 1.19/1.34 apply (zenon_L1056_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H20. zenon_intro zenon_H1a2. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H191. zenon_intro zenon_H1a3. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H1a3). zenon_intro zenon_H192. zenon_intro zenon_H1a4. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H2b | zenon_intro zenon_H114 ]. % 1.19/1.34 apply (zenon_L951_); trivial. % 1.19/1.34 apply (zenon_L1070_); trivial. % 1.19/1.34 apply (zenon_L315_); trivial. % 1.19/1.34 apply (zenon_L1061_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H362). zenon_intro zenon_H20. zenon_intro zenon_H366. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H366). zenon_intro zenon_H1e2. zenon_intro zenon_H367. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H367). zenon_intro zenon_H1e0. zenon_intro zenon_H1e1. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H3 | zenon_intro zenon_H2cf ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L987_); trivial. % 1.19/1.34 apply (zenon_L1074_); trivial. % 1.19/1.34 apply (zenon_L1076_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H20. zenon_intro zenon_H2d0. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H83. zenon_intro zenon_H2d1. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H2d1). zenon_intro zenon_H84. zenon_intro zenon_H82. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H189 | zenon_intro zenon_H1a1 ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L1081_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H17 | zenon_intro zenon_H15d ]. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hf5 ]. % 1.19/1.34 apply (zenon_L159_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_H20. zenon_intro zenon_Hf6. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H79. zenon_intro zenon_Hf7. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H7a. zenon_intro zenon_H78. % 1.19/1.34 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H8b | zenon_intro zenon_Hf8 ]. % 1.19/1.34 apply (zenon_L38_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_H20. zenon_intro zenon_Hf9. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H9a. zenon_intro zenon_Hfa. % 1.19/1.34 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_H98. zenon_intro zenon_H99. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H2f ]. % 1.19/1.34 apply (zenon_L1082_); trivial. % 1.19/1.34 apply (zenon_L1025_); trivial. % 1.19/1.34 apply (zenon_L1060_); trivial. % 1.19/1.34 apply (zenon_L1076_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H361). zenon_intro zenon_H20. zenon_intro zenon_H368. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H368). zenon_intro zenon_H229. zenon_intro zenon_H369. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H369). zenon_intro zenon_H227. zenon_intro zenon_H228. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H2d | zenon_intro zenon_H155 ]. % 1.19/1.34 apply (zenon_L345_); trivial. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H20. zenon_intro zenon_H156. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H13e. zenon_intro zenon_H157. % 1.19/1.34 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H288 | zenon_intro zenon_H29a ]. % 1.19/1.34 apply (zenon_L355_); trivial. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H1ae | zenon_intro zenon_H11d ]. % 1.19/1.34 apply (zenon_L947_); trivial. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H1ae | zenon_intro zenon_H2a8 ]. % 1.19/1.34 apply (zenon_L947_); trivial. % 1.19/1.34 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H109 | zenon_intro zenon_H275 ]. % 1.19/1.34 apply (zenon_L223_); trivial. % 1.19/1.34 apply (zenon_L311_); trivial. % 1.19/1.34 Qed. % 1.19/1.34 % SZS output end Proof % 1.19/1.34 (* END-PROOF *) % 1.19/1.34 nodes searched: 41704 % 1.19/1.34 max branch formulas: 472 % 1.19/1.34 proof nodes created: 7903 % 1.19/1.34 formulas created: 37458 % 1.19/1.34 %------------------------------------------------------------------------------